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2605.16202 2026-05-18 quant-ph cs.ET

Performance Gains in Quantum SAT Solvers Using ESOP Encoding

利用ESOP编码提升量子SAT求解器性能

Majd Assaad, Abhoy Kole, Rolf Drechsler

AI总结 本文研究了专为量子SAT求解设计的ESOP-CNF编码(e-CNF),通过减少量子资源消耗提升求解效率。

Comments 18 pages, 6 figures

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AI中文摘要

布尔可满足性(SAT)问题是一个经典的NP完全问题,是通过基于搜索的算法实现量子加速的自然候选者。在基于Grover的量子SAT求解器中,主要的计算开销来自于可逆 oracle 的构造,这使得 SAT 编码的选择对整体量子资源效率至关重要。尽管 SAT 实例通常以析取范式(CNF)表示,但此类编码通常会转化为具有显著量子比特开销和高非Clifford门复杂度的量子电路。在本工作中,我们研究了专为量子SAT求解设计的Exclusive-Sum-of-Products(ESOP)基于CNF(e-CNF)表示,并分析了其对oracle构造的影响。我们推导了在使用e-CNF编码代替标准CNF时,基于Grover的SAT求解器的量子比特需求和Clifford+T门数量的更紧上界。此外,我们提出了一种可扩展的从布尔公式到e-CNF的转换方法,并展示了将e-CNF表示解释为可逆量子电路的系统性程序,适用于oracle实现。在具有代表性的SAT基准测试中的实验评估表明,所提出的基于e-CNF的方法在与基于CNF的oracle构造相比时,能够显著且一致地减少量子资源,包括量子比特数量、T门复杂度和电路深度。这些结果确立了e-CNF作为有效的量子-aware SAT 编码,显著提高了基于oracle的量子SAT求解的实用性。

英文摘要

The Boolean Satisfiability (SAT) problem is a canonical NP-complete problem and a natural candidate for quantum acceleration via search-based algorithms. In Grover-based quantum SAT solvers, the dominant computational cost stems from the construction of a reversible oracle that evaluates the Boolean formula, rendering the choice of SAT encoding crucial for overall quantum resource efficiency. Although SAT instances are conventionally expressed in Conjunctive Normal Form (CNF), such encodings typically translate into quantum circuits with significant qubit overhead and high non-Clifford gate complexity. In this work, we investigate an Exclusive-Sum-of-Products (ESOP)-based CNF (e-CNF) representation tailored for quantum SAT solving and analyze its impact on oracle construction. We derive tighter upper bounds on qubit requirements and Clifford+$T$ gate counts for Grover-based SAT solvers when e-CNF encodings are employed in place of standard CNF. In addition, we propose a scalable transformation from Boolean formulas to e-CNF and present a systematic procedure for interpreting e-CNF representations as reversible quantum circuits suitable for oracle implementation. Experimental evaluation on representative SAT benchmarks demonstrates that the proposed e-CNF-based approach yields substantial and consistent reductions in quantum resources, including qubit count, T-gate complexity, and circuit depth, when compared to CNF-based oracle constructions. These results establish e-CNF as an effective quantum-aware SAT encoding that significantly improves the practicality of oracle-based quantum SAT solving.

2605.16201 2026-05-18 hep-ph astro-ph.CO hep-th

Irreducible Graviton Floor from Reheating

重子衰变中的不可约引力子底座

James M. Cline, Yong Xu

AI总结 研究重子衰变过程中引力子辐射的不可约随机引力波背景,通过 Weinberg 定理确定谱的红外分支,发现谱最大值随 n 变化而变化,预测 GHz 频率以上可达到 10^-17 级信号。

Comments 5 pages + 9 pages of Supplemental Material, 8 figures

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AI中文摘要

在再加热期间,inflaton 衰变不可避免地通过轫制辐射发射引力子。我们展示,通过考虑宇宙学演化,该发射幅度的软部分,由 Weinberg 的软引力子定理固定,成为不可约随机引力波(GW)背景。定理固定谱的红外分支,Ω_GW ∝ f,与微观算符无关,而归一化由硬 inflaton 衰变率和相空间因子控制。我们对 inflaton n-体衰变进行推导,包括相空间积分,发现谱最大值相对于 n=2 情况缩放为 2/n。信号可在 GHz 以上频率达到 Ω_GW h^2 ∼ 10^-17 级。这预测了从扰动再加热中产生的随机引力子底座:更大的信号需要其他过程或非传统单场慢滚膨胀场景。

英文摘要

Inflaton decay inevitably emits gravitons through bremsstrahlung during reheating. We show that the soft part of this emission amplitude, fixed by Weinberg's soft-graviton theorem, becomes an irreducible stochastic gravitational-wave (GW) background after accounting for cosmological evolution. The theorem fixes the infrared branch of the spectrum, $Ω_{\rm GW}\propto f$, independently of the microscopic operator responsible for inflaton decay, while the normalization is controlled by the hard inflaton decay rate and by a phase-space factor. We carry this out for inflaton $n$-body decays, including the phase-space integrals, finding that the maximum of the spectrum scales as $2/n$ relative to the $n=2$ case. The signal can reach $Ω_{\rm GW}h^2\sim \mathcal O(10^{-17})$ at frequencies above the GHz scale. This predicts a stochastic graviton floor from perturbative reheating: a larger signal would require either other processes beyond perturbative bremsstrahlung or inflationary scenarios beyond conventional single-field slow roll.

2605.16200 2026-05-18 astro-ph.GA

No Stream Left Unscathed: The imprint of a host galaxy

没有未被触及的流:宿主星系的印记

Arpit Arora, Peter S. Ferguson, Jacob Nibauer, Nora Shipp, Videep Reddy, Eugene Vasiliev, Jack Kohm, Laurella C. Marin, Adrian M. Price-Whelan, Denis Erkal, Sarah Pearson, Andrew Wetzel, Jeremy Bailin, Robert Feldmann

AI总结 研究通过模拟15000个球状星团流,探讨宿主星系本身对流特征的影响,发现约75%的流表现出复杂结构,如突起和弯曲,且流的宽度变化和密度波动与暗物质子晕的影响范围一致。

Comments 34 pages, 24 figures, submitted to APJ. Comments are welcome!

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AI中文摘要

从被破坏的球状星团中剥离出的恒星流是暗物质(DM)子晕的良好探针。观测到的银河系流表现出显著的多样性:突起、间隙、弯曲、包裹层和密度变化,许多归因于子晕碰撞。但有多少多样性源于宿主本身?我们模拟了约15000个球状星团流,跨越四个银河质量的halo,从FIRE-2宇宙模拟中演化,使用基函数展开势捕捉演化的盘、晕和大尺度结构,同时排除小尺度扰动如暗物质子晕和大分子云。我们发现大约四分之三的流发展出复杂的宿主势特征,如突起、弯曲和包裹状外壳。即使最平滑的流也表现出10-25%的宽度变化,宿主过密度和间隙在2度范围内,正好在1度-5度范围内预测的子晕诱导间隙范围内。近日距是流形态的主要预测因子,约15kpc分隔平滑与扰动流,超过20kpc的圆形轨道产生最平滑的流。只有约70个流在任何尺度上都没有可检测的波动。观察到的特征类比,如GD-1突起和ATLAS-Aliqa Uma弯曲,即使在没有子晕的情况下也会出现。随着下一代巡天(LSST、Euclid和Roman)在数百个流中解析流结构,这里建立的基线,即在没有小尺度扰动的情况下演化的流,对于提取暗物质子结构约束至关重要。

英文摘要

Stellar streams from disrupted globular clusters are excellent probes of dark matter (DM) subhalos. Observed Milky Way streams display a remarkable diversity of features: spurs, gaps, kinks, cocoons, and density variations, many attributed to subhalo encounters. But how much of this diversity arises from the host itself? We simulate $\sim$15,000 globular cluster streams across four Milky Way-mass halos from the FIRE-2 cosmological simulations, evolved in basis function expansion potentials capturing the evolving disk, halo, and large-scale structure while excluding small-scale perturbers such as DM subhalos and giant molecular clouds. We find that roughly three quarters of streams develop complex features from the host potential, such as spurs, kinks, and cocoon-like envelopes. Even the smoothest streams exhibit 10--25\% width variation along their track and host overdensities and gaps at scales of ${\sim}2^\circ$, squarely in the $1^\circ$--$5^\circ$ range predicted for subhalo-induced gaps. Pericentric distance is the primary predictor of stream morphology, with ${\sim}15$ kpc separating smooth from disturbed streams and circular orbits beyond $\sim$20 kpc producing the smoothest streams. Only $\sim$70 out of $\sim$15,000 streams are free of detectable wiggles in the track at any scale. Analogs to observed features, such as the GD-1 spur and the ATLAS--Aliqa Uma kink, emerge even without the presence of subhalos. As next-generation surveys (LSST, Euclid, and Roman) resolve stream structure across hundreds of streams, the baseline established here, streams evolved without small-scale perturbers, becomes essential for extracting DM substructure constraints.

2605.16199 2026-05-18 gr-qc

Detectability of avoided crossings in black hole ringdowns

黑洞环状衰变中避碰交叉的可检测性

Hayato Imafuku, Naritaka Oshita, Hiroki Takeda

AI总结 本文研究了在贝叶斯框架下,通过三种波形模型探讨了黑洞 quasi-normal 模式在避碰交叉中的可检测性,发现即使在乐观条件下,分辨单个 QNM 频率也困难,但避碰交叉的集体波形特征仍可通过互补的波形描述识别。

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AI中文摘要

黑洞的 quasinormal 模式 (QNMs) 可能表现出避碰交叉 (ACs),其中特定 QNM 频率接近时,其振幅增强且相位几乎相反,导致特征干涉。通过黑洞光谱学分辨这种紧密间隔的模式在观测上具有挑战性。本文在贝叶斯框架下,利用三种波形模型研究了在避碰交叉存在时几乎退化的 QNMs 的可检测性。我们考察了在两个 QNM 频率分离度和模板波形选择下,对复频率和振幅的推断依赖性。我们发现,即使在乐观条件下,分辨单个 QNM 频率也困难。另一方面,如果 AC 相关模式主导观测到的环状衰变信号,且较慢衰减模式的污染可忽略或被去除,则避碰交叉的集体波形特征仍可通过互补的波形描述识别。

英文摘要

Quasinormal modes (QNMs) of black holes can exhibit avoided crossings (ACs), in which specific QNM frequencies approach each other while their amplitudes are enhanced and acquire nearly opposite phases, leading to characteristic interference. Resolving such closely spaced modes through black hole spectroscopy is observationally challenging. In this paper, we investigate the detectability of nearly degenerate QNMs in the presence of an AC within a Bayesian framework using three waveform models. We examine how the inference of the complex frequencies and amplitudes depends on the separation between the two QNM frequencies and on the choice of template waveform. We find that resolving the individual QNM frequencies is difficult even under optimistic conditions. On the other hand, collective waveform signatures associated with ACs may still be identified through complementary waveform descriptions, provided that the AC-related modes dominate the observed ringdown signal and contamination from more slowly damped modes is negligible or can be removed.

2605.16197 2026-05-18 cs.HC

Position: AI as Part of Self -- Extending the Mind Requires Cognitive Co-Regulation

位置:AI作为自我的一部分——扩展心智需要认知共调节

Alina Gutoreva, Fendi Tsim, Trisevgeni Papakonstantinou

AI总结 本文探讨了AI作为自我组成部分的重要性,强调认知共调节在人机认知系统中的必要性,指出传统约束无法实现安全与对齐,需通过人机协同调节来达成。

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AI中文摘要

本文主张安全与对齐无法通过外部系统约束实现,必须从人机认知系统的共调节设计中产生。当代AI日益参与注意力分配、推理、综合与决策,影响人类形成信念、做出决策和构建自我认知的过程。人类与AI在相互约束下扮演互补的认知角色,形成共生认知单元,其共调节而非单方外部控制是实现对齐的正确场所。本文识别了无序委托的风险,如技能退化、自动化偏见、知识权威转移和 oracle 式的知识集中。基于 System~0 认知理论,本文进一步表明 AI 在意识 deliberation 之前运作,塑造通过协商代理与信任的预注意基础设施——这一层面传统监督无法触及。本文最后提出认知共调节的设计原则,面向 ML 工程师和治理机构。本文的目标是引导人类认知在人类自我认同的基础实现韧性与知识自主性。

英文摘要

This position paper argues that safety and alignment cannot be achieved by constraining an external system: they must emerge from the co-regulatory design of the human--AI cognitive system as a whole ("AI as Part of Self"). Contemporary AI increasingly participates in attention allocation, reasoning, synthesis, and decision-making, shaping the very cognitive processes through which humans form beliefs, make decisions, and constitute their sense of self. Humans and AI occupy complementary epistemic roles under mutual constraint, forming a symbiotic cognitive unit whose co-regulation -- not the external control of either party alone -- is the proper locus of alignment. We identify the risks of unstructured delegation: deskilling, automation bias, transfer of epistemic authority, and oracle-style centralization of knowledge. Drawing on System~0 cognition theory, we further show that AI operates prior to conscious deliberation, shaping the pre-attentive infrastructures through which agency and trust are negotiated -- a level that conventional oversight cannot reach. We conclude with design principles for cognitive co-regulation addressed to ML engineers and governance bodies. The goal of this work is to guide human cognition toward resilience and epistemic agency at the foundation of human selfhood.

2605.16196 2026-05-18 cs.IT math.IT

Fundamental Performance Limits of Non-Coherent ISAC: A Data-Aided Sensing Perspective

非协作ISAC的基本性能极限:一种数据辅助传感的视角

Dongsheng Peng, Chengkai Zhao, Yihong Li, Zhiqing Wei, Jun Chen, Ping Chen

AI总结 本文研究了非协作ISAC系统在块衰落信道中的性能极限,通过数据辅助传感方案实现了比试点传感更高的传感精度和SNR增益。

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AI中文摘要

本文研究了一种双工多输入多输出(MIMO)集成传感与通信(ISAC)系统,在块衰落信道中,重点研究传感和通信接收机共址的场景。在假设接收端未知信道状态信息(CSI)的情况下,考虑了两种方案:试点传感(PS)和数据辅助传感(DAS)。两种方案的通信速率-传感失真函数被特征化。对于DAS方案,通过使用随机矩阵理论(RMT)推导出传感失真的闭式渐进行为表达式。渐进行为分析明确量化了DAS方案的显著增益,揭示了在低SNR情况下DAS方案比PS方案有严格3dB的有效SNR增益,并在高SNR极限下具有更快速的性能缩放率。

英文摘要

In this paper, we investigate a bistatic multiple-input multiple-output (MIMO) integrated sensing and communication (ISAC) system over block-fading channels, focusing on the scenario where the sensing and communication receivers (Rxs) are co-located. Under the assumption of unknown channel state information (CSI) at the Rx, two schemes are considered: pilot sensing (PS) and data-aided sensing (DAS). The communication rate-sensing distortion functions for both schemes are characterized. For the DAS scheme, a closed-form asymptotic expression for the sensing distortion is derived by using random matrix theory (RMT). The asymptotic performance analysis explicitly quantifies the significant gains of the DAS scheme, revealing a strict $3$ dB effective SNR improvement in the low-SNR regime and a strictly faster performance scaling rate in the high-SNR limit compared to the PS scheme.

2605.16195 2026-05-18 quant-ph

Efficient quantum algorithm for linear matrix differential equations and applications to open quantum systems

高效求解线性矩阵微分方程的量子算法及其在开放量子系统中的应用

Sophia Simon, Dominic W. Berry, Rolando D. Somma

AI总结 本文提出一种高效量子算法,用于求解线性矩阵微分方程,并应用于开放量子系统模拟。算法在查询复杂度上接近最优,适用于幺正或耗散动力学,且在特定条件下具有多项式加速。

Comments 56 pages

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AI中文摘要

我们提出了一种高效的、近最优的量子算法,用于求解线性矩阵微分方程,其应用包括开放量子系统的模拟及其他领域。对于幺正或耗散动力学,该算法能以查询复杂度$\widetilde{\mathcal{O}}(ν\mathcal{L} t/ε)$计算解矩阵的任一元素,其中常数$ν$取决于问题参数,$\mathcal{L}$涉及演算算子范数上界的时间积分,而$ε$为误差。特别地,对于幺正动力学,$ν\mathcal{L}$与$t$成线性关系,而对于耗散动力学,$ν\mathcal{L}$可以为常数。我们的结果与以往的量子方法形成对比,后者通常因量子态编码而需要指数时间。我们通过端到端应用展示了该算法的实用性,即非相互作用费米子的耗散动力学模拟,可扩展至其他量子和经典系统。我们与经典算法进行了比较,并提供了多项式量子加速的证据,尤其在晶格系统中更为显著,且在长程相互作用系统中可达到指数级加速。此外,我们还给出了单位元或耗散动力学的下界$\Omega(ν\mathcal{L} t/ε)$,证明了该算法在对数因子范围内是最优的。

英文摘要

We present an efficient, nearly optimal quantum algorithm for solving linear matrix differential equations, with applications to the simulation of open quantum systems and beyond. For unitary or dissipative dynamics, the algorithm computes an entry of the solution matrix with query complexity $\widetilde{\mathcal{O}}(ν\mathcal{L} t/ε)$, where the constant $ν$ depends on the problem parameters, $\mathcal{L}$ involves a time integral of upper bounds on the norms of evolution operators, and $ε$ is the error. In particular, $ν\mathcal{L}$ is linear in $t$ for unitary dynamics and can be a constant for dissipative dynamics. Our result contrasts prior quantum approaches for differential equations that typically require exponential time for this problem due to the encoding in a quantum state, which can lead to exponentially small amplitudes. We demonstrate the utility of the algorithm through an end-to-end application, namely the simulation of dissipative dynamics for non-interacting fermions, which can be extended to other quantum and classical systems. We compare with classical algorithms and give evidence of polynomial quantum speedups for systems in a lattice, which become more pronounced for systems with long-range interactions and can be shown to be exponential in general. We also provide a lower bound of $Ω(ν\mathcal{L} t/ε)$ for unitary or dissipative dynamics that proves our algorithm is optimal up to logarithmic factors.

2605.16192 2026-05-18 astro-ph.GA

Simulations of gas inflow in the Milky Way I. Stellar-Feedback-Regulated Transport from the Central Molecular Zone to the Circumnuclear disk

银河系气体流入模拟 I. 从中心分子区到环核盘的恒星反馈调节传输

Zi-Xuan Feng, Mattia C. Sormani, Robin G. Tress, Simon C. O. Glover, Ralf S. Klessen, Jonathan Petersson, Michaela Hirschmann, Ashley T. Barnes, Cara Battersby, Marco Donati, Karl Fiteni, Jonathan D. Henshaw, Adam Ginsburg, Savannah Gramze, Xingchen Li, Dani R. Lipman, Steven N. Longmore, Elisabeth Mills, Maya A. Petkova, Yoshiaki Sofue, Arianna Vasini

AI总结 本文通过具有径向变化分辨率的流体动力学模拟研究了恒星反馈对银河系中心分子区气体向环核盘径向流入的影响,发现恒星反馈驱动了径向流入,同时反馈驱动的湍流和偶发事件对流入速率有显著影响。

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AI中文摘要

本文通过具有径向变化分辨率的流体动力学模拟研究了恒星反馈对银河系中心分子区气体向环核盘径向流入的影响,发现恒星反馈驱动了径向流入,同时反馈驱动的湍流和偶发事件对流入速率有显著影响。

英文摘要

We perform hydrodynamical simulations with radially varying resolution to study the effects of stellar feedback on the radial inflow of gas from the Central Molecular Zone (CMZ, $R\sim200$ pc) to the Circumnuclear Disk (CND, $R\sim5$ pc) of the Milky Way. The simulations include a realistic Milky Way barred gravitational potential, a cooling function coupled to a non-equilibrium chemical network, gas self-gravity, star formation, supernova feedback, and radiation feedback from massive stars computed via on-the-fly radiative transfer. Our main findings are as follows: 1) Stellar feedback drives a radial inflow that decreases monotonically with decreasing Galactocentric radius. The time-averaged inflow rate in our fiducial SNRad simulation, which includes both supernova and radiation feedback, declines from $\langle \dot{M} \rangle\sim5\times10^{-3}$ Msun/yr at $R\sim100$ pc, to $\langle\dot{M}\rangle\sim10^{-4}$ Msun/yr at $R\sim10$ pc, to $\langle\dot{M}\rangle\sim10^{-6}$ Msun/yr at $R\sim1$ pc. 2) The total inflow rate can be broken down into two components driven by two distinct mechanisms. First, feedback-driven turbulence redistributes the angular momentum of gas clouds, producing a smooth (secular) transport of mass inward, similar to a Shakura-Sunyaev viscous accretion disk. This component contributes inflow rates that vary from $\dot{M}\sim5\times10^{-4}$ Msun/yr at $R\sim100$ pc to $\dot{M}\sim10^{-7}$ Msun/yr at $R\sim1$ pc. Second, episodic inflow events can transiently increase the inflow rate by several orders of magnitude, reaching $\dot{M}\sim10^{-3}$ Msun/yr over timescales of $Δt\sim3$-$5$ Myr at $R=10$ pc. 3) The stellar feedback model significantly affects the episodic inflow but has little impact on the smooth component. Simulations including radiation feedback produce substantially more episodic events than those with supernova feedback alone.

2605.16190 2026-05-18 eess.SY cs.SY math.OC

Watts vs. Bytes: Turning Data Centers into Grid Assets via Storage Compute Co-Optimization

Watts vs. Bytes: 通过存储计算协同优化将数据中心转化为电网资产

Shaohui Liu, Sungho Shin, Deepjyoti Deka

AI总结 本文提出一种鲁棒的协同优化框架,用于在电网限制下优化数据中心的日间运营,通过协调计算需求与电池储能系统,提升电网服务能力和运营效率。

Comments 17 pages, 10 figures

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AI中文摘要

在电网压力增大背景下,推动数据中心持续扩展需要更紧密协调灵活的计算需求与本地电池储能系统(BESS),以提高运营效率并提供电网服务。本文开发了一种鲁棒的协同优化框架,用于在电力公司规定的峰值负载和爬坡限制下优化数据中心与本地BESS的日间运营。该模型同时考虑了具有截止时间约束的计算工作负载,通过工作负载调度和动态电压和频率调节(DVFS)进行管理,以及考虑退化的BESS调度,以实现成本优化并参与辅助服务市场。基于真实世界市场和工作负载数据的案例研究显示,所提出的框架在多种运行条件下都能产生可行的日间调度方案,当互联限制成为约束时,其效益显著增加。在基准条件下,BESS的价值来源于辅助服务参与和改进的工作负载和能源管理。然而,在高峰负载和爬坡限制下,BESS的每日价值增加了一倍或更多,主要由BESS行动减少可调度工作负载的潜在不完整性,同时遵守互联限制。在严格的峰值负载限制下,工作负载组成也起关键作用,其中非可调度任务的更高比例可使运营成本增加25%以上,相对更灵活的工作负载混合。此外,DVFS研究进一步表明,在严格负载限制下,处理器级控制是重要的灵活性杠杆。这些结果表明,协调计算-存储灵活性可以显著扩大数据中心的运营余量和电网价值,特别是在电网容量日益稀缺的情况下。

英文摘要

Enabling continued data-center growth under increasing grid stress motivates closer coordination between flexible computing demand and co-located battery energy storage systems (BESS) to improve site operations and provide grid services. This paper develops a robust co-optimization framework for day-ahead operation of data centers with co-located BESS under utility-imposed interconnection limits on peak load and ramping. The model jointly considers deadline-constrained computing workloads, managed through workload scheduling and dynamic voltage and frequency scaling (DVFS), together with degradation-aware BESS dispatch to enable cost optimization and participation in ancillary-service markets. Case studies based on real-world market and workload data show that the proposed framework yields feasible day-ahead schedules across a range of operating conditions, with substantially larger benefits when interconnection constraints become binding. Under baseline conditions, BESS value is derived from both ancillary-service participation and improved workload and energy management. Under stressed peak-load and ramping limits, however, the daily value of BESS increases by a factor of two or more, driven primarily \revise{by BESS actions to reduce the potential incompletion in the schedulable workload while complying with interconnection constraints}. Under tight peak-load caps, workload composition also matters where a higher share of non-schedulable jobs can increase operating cost by more than 25\% relative to more flexible workload mixes. \revise{Additionally, DVFS studies further show that processor-level control is a material flexibility lever under tight load limits.} These results demonstrate that coordinated compute-storage flexibility can materially expand the operational headroom and grid value of data centers, especially under increasingly scarce grid capacity.

2605.16189 2026-05-18 quant-ph physics.chem-ph

Quantum Solvers for Nonlinear Matrix Equations in Quantum Chemistry

非线性矩阵方程的量子求解器:量子化学中的应用

Pablo Rodenas-Ruiz, Andrew Zhao, Joonho Lee

AI总结 本文提出一种量子算法求解代数Riccati方程,用于量子化学中的随机相近似理论及其高阶理论,通过Riesz投影获得稳定Riccati解,并在局部轨道稀疏性假设下实现线性系统规模和多项式激发阶的复杂度。

Comments 8+30 pages, 1+4 figures

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AI中文摘要

我们提出了一种用于求解代数Riccati方程的量子算法,应用于量子化学中的随机相近似(RPA)和更高阶RPA理论。我们的方法通过Riesz投影到关联非正常矩阵的不变子空间,利用轮廓积分解析子和量子奇异值变换实现块编码的稳定Riccati解。应用于m粒子、m空穴RPA时,该算法获得幅度解的块编码并利用其估计电子相关能密度。在局部轨道稀疏性假设下,端到端成本与系统规模线性相关,与激发阶m的多项式相关,表明在m上相对于可行的经典局部相关启发式方法具有指数优势。更广泛地说,这项工作为量子化学中非线性矩阵方程的量子算法提供了框架,并为开发耦合簇理论的量子算法开辟了可能的途径。

英文摘要

We present a quantum algorithm for solving algebraic Riccati equations, with applications to quantum-chemical random-phase approximation (RPA) and higher-order RPA theories. Our method block-encodes stabilizing Riccati solutions via Riesz projectors onto invariant subspaces of an associated non-normal matrix, implemented using contour-integral resolvents and quantum singular value transformations. Applied to $m$-particle, $m$-hole RPA, our algorithm yields a block-encoding of the amplitude solution and estimates the electronic correlation-energy density with it. Under localized-orbital sparsity assumptions, the end-to-end cost scales linearly with system size and polynomially with excitation rank $m$, suggesting an exponential advantage in $m$ over plausible classical local-correlation heuristics. More broadly, this work provides a framework for quantum algorithms for nonlinear matrix equations in quantum chemistry and opens a possible route toward developing quantum algorithms for coupled-cluster theory.

2605.16188 2026-05-18 hep-th math-ph math.MP

Non-Invertible Symmetries in Compactified Supergravities

十一维超引力中非可逆对称性

Fabián Caro-Pérez, María Pilar García del Moral, Álvaro Restuccia

AI总结 研究十一维超引力到IIA超引力的非可逆高形式对称缺陷的Kaluza-Klein降阶,揭示其在M理论圈中的推前过程及六维BF型部分的结构。

Comments Latex,21 pages

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AI中文摘要

我们研究非可逆高形式对称缺陷从十一维超引力到IIA超引力的Kaluza-Klein降阶。从十一维非可逆超引力缺陷的构造出发,证明包含其辅助拓扑部分的完整缺陷沿M理论圈的零模超引力 regime 推前。七维类似Chern-Simons的辅助理论降阶为六维BF型部分。我们还显示十一维Bianchi部分的紧化分裂为可逆H[3]部分和扭曲非可逆F[4]部分,由dF[4]+H[3]∧F[2]=0控制。所得到的IIA缺陷代数包含可逆Picard子群和非可逆BF饰缺陷,通过标准M理论/IIA膜字典识别带电探测器。

英文摘要

We study the \textit{Kaluza--Klein} descent of non-invertible higher-form symmetry defects from eleven-dimensional Supergravity to Type IIA Supergravity. Starting from the eleven-dimensional construction of non-invertible Supergravity defects, we show that the full defect, including its auxiliary topological sector, admits a pushforward along the M-theory circle in the zero-mode Supergravity regime. The seven-dimensional \textit{Chern--Simons}-like auxiliary theory descends to a six-dimensional \(BF\)-type sector. We also show that the compactification of the eleven-dimensional \textit{Bianchi} sector splits into an invertible \(H_{[3]}\)-sector and a twisted non-invertible \(\widetilde F_{[4]}\)-sector, controlled by \(d\widetilde F_{[4]}+H_{[3]}\wedge F_{[2]}=0\). The resulting Type IIA defect algebra contains both an invertible Picard subgroup and non-invertible \(BF\)-dressed defects, with charged probes identified through the standard M-theory/Type IIA brane dictionary.

2605.16187 2026-05-18 cs.NI

Near-optimal Online Traffic Engineering

近优在线交通工程

Arvin Ghavidel, Pooria Namyar, Nikolai Matni, Walter Willinger, Ramesh Govindan

AI总结 本文提出OnlineTE系统,通过优化分解理论实现分布式TE求解器,可在秒级内响应需求变化,提升大规模WAN的交通工程效率。

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AI中文摘要

大多数部署的广域网交通工程(TE)系统使用逻辑集中的控制器,定期收集流量需求,运行TE优化或启发式算法,然后编程网络。在大规模情况下,这些解决方案可能不最优,并且对需求变化或故障的响应时间可能需要数分钟。在本文中,我们引入OnlineTE,一个能立即响应需求变化和故障,并在变化后几秒钟内提供近优解决方案的系统。OnlineTE基于优化分解理论,设计出可扩展、近优、分布式的TE求解器,用于路径基MLU和最大流问题。在OnlineTE中,每个交换机解决优化的一部分,而中央协调器协调交换机的进度。因此,当交换机发现需求变化或故障时,可以立即触发重新优化,从而实现高反应性。OnlineTE可扩展到大型WAN,其计算需求远低于现代WAN交换机的能力。它还开启了一种新的机会,基于边缘的TE,能够比当今路径基方法更高效地利用资源。在750节点WAN拓扑的测试床仿真中,OnlineTE在性能上可比现有最佳方案高出一个数量级。

英文摘要

Most deployed WAN Traffic Engineering (TE) systems use a logically centralized controller that periodically gathers traffic demands, runs a TE optimization or heuristic, and then programs the network. At scale, these solutions can be sub-optimal, and can take minutes to react to demand changes or failures. In this paper, we introduce OnlineTE, a system that reacts immediately to demand changes and failures, and delivers near-optimal solutions within seconds of a change. OnlineTE builds on the theory of optimization decomposition to devise scalable, near-optimal, distributed TE solvers for path-based MLU and Max-flow problems. In OnlineTE, each switch solves part of the optimization, and a central coordinator orchestrates the progress of the switches. As such, a switch can trigger a re-optimization as soon as it notices a demand change or failure, enabling high reactivity. OnlineTE scales to large WANs, and its compute requirements are well below the capabilities of modern WAN switches. It also enables a new opportunity, edge-based TE, which can utilize resources more efficiently than today's path-based approaches. On a testbed emulation of a 750-node WAN topology, OnlineTE can outperform the state-of-the-art by up to an order of magnitude.

2605.16186 2026-05-18 astro-ph.CO

Analytical method for computing the covariance matrix of cosmic shear two-point correlation function

计算宇宙剪两点相关函数协方差矩阵的分析方法

Kosuke Nagura, Ryo Terasawa, Taisei Terawaki, Masahiro Takada

AI总结 本文研究了在考虑有限观测几何效应下,利用改进的窄核近似方法计算宇宙剪两点相关函数的高斯协方差矩阵,并评估了不同分析协方差估计方法的准确性。

Comments 12 pages, 6 figures

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AI中文摘要

准确估计宇宙剪统计量的协方差矩阵对于使用当前和即将开展的广域弱引力透镜观测进行宇宙学分析至关重要。本文研究了计算宇宙剪两点相关函数(2PCF)高斯协方差矩阵的分析方法,考虑了有限观测几何效应的影响。我们基于改进的窄核近似方法(iNKA)并利用Legendre变换进行投影,计算2PCF的协方差。我们还考虑了其他分析协方差估计方法,即$ f_{\mathrm{sky}} $近似和加权四次计数方法。我们利用HSC Year 3调查掩膜中的收敛场作为测试案例,评估这些分析方法的准确性。我们发现,使用iNKA得到的2PCF协方差无法再现直接从高斯模拟中测量到的协方差。尽管iNKA准确地建模了谐波空间协方差的对角结构,但残余不准确性在Legendre变换中传播,并显著影响实空间协方差。相比之下,加权四次计数方法与模拟结果更一致。我们的结果表明,在存在观测窗口效应时,准确建模谐波空间协方差的非对角结构对于获得可靠的实空间弱引力透镜统计量协方差估计至关重要。

英文摘要

Accurate estimation of the covariance matrix of cosmic shear statistics is essential for cosmological analyses using current and upcoming wide-area weak lensing surveys. In this work, we investigate analytical methods for computing the Gaussian covariance matrix of the cosmic shear two-point correlation function (2PCF), taking into account the effects of finite survey geometry. We compute the covariance of 2PCF based on the improved Narrow Kernel Approximation (iNKA), with a projection using the Legendre transformation. We also consider other analytical covariance estimators, the $f_{\mathrm{sky}}$ approximation and the weighted quartic-counts method. We evaluate the accuracy of those analytical methods using the convergence fields with the HSC Year 3 survey mask as a test case. We find that the covariance of the 2PCF obtained by using the iNKA does not reproduce the covariance measured directly from Gaussian simulations. Although the iNKA accurately models the diagonal structure of the harmonic-space covariance, residual inaccuracies in the off-diagonal components propagate through the Legendre transformation and significantly affect the real-space covariance. In contrast, the weighted quartic-counts method shows better agreement with the simulations. Our results demonstrate that accurate modeling of the off-diagonal structure of the harmonic-space covariance is crucial for obtaining reliable covariance estimates of real-space weak lensing statistics in the presence of survey window effects.

2605.16185 2026-05-18 math.CV

Tolstov`s Theorem in the Commutative Banach Algebra A3

托尔斯特夫定理在交换Banach代数A3中的应用

M. V. Tkachuk

AI总结 本文放宽了函数在复数域上三维交换代数中单生成条件的要求,通过连续性和Gâteaux导数的存在性来定义单生成性,并探讨其在代数结构中的应用。

Comments 9 pages

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AI中文摘要

本文研究了在复数域上的三维交换Banach代数A3中,函数的单生成条件的放宽问题。通过定义单生成性为连续性和Gâteaux导数的存在性,探讨了该条件下相关性质和应用。

英文摘要

In this paper, the conditions of monogenicity are weakened for functions with values in a three-dimensional commutative algebra over the field of complex numbers. By monogenicity we mean continuity and the existence of the Gâteaux derivative.

2605.16183 2026-05-18 astro-ph.IM gr-qc

Rapid data quality investigations of gravitational-wave events with the Data Quality Report Builder toolkit

利用数据质量报告构建工具快速调查引力波事件的数据质量

Derek Davis, Zach Yarbrough, Joseph Areeda, Ronaldas Macas, Nicolas Arnaud, Adrian Helmling-Cornell, Paolina Doliva, Olivia Godwin, Hirotaka Yuzurihara, Benjamin Mannix, Sofia Alvarez-Lopez, Max Trevor, Rachael Huxford, Philippe Nguyen, Beverly Berger, Chayan Chatterjee, Francesco Di Renzo, Christiano Palomba, Viola Sordini, Dimitrios Pesios, Marissa Walker, Airene Ahuja, Man Leong Chan, Julian Ding, Raymond Frey, Franz Herbst, Yannick Lecoeuche, Annudesh Liyanage, Jess McIver, Raymond Ng, Sophie Perry, Caitlin Rawcliffe, Robert Schofield

AI总结 本文介绍DQRbuild工具包,用于验证引力波事件数据质量,通过测试公共警报候选者验证工具性能,发现自动化工具能识别96%的人工发现的问题,误报率为24%。

Comments 23 pages, 7 figures

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AI中文摘要

我们介绍了Data Quality Report Builder工具包(DQRbuild),一套用于验证引力波事件数据质量的工具,为第四次LIGO-Virgo-KAGRA观测运行做准备。我们解释了主要功能和多种科学测试。为了验证工具性能,我们在第三次观测运行中对所有显著候选者运行一系列测试,与人工干预手动报告进行比较。我们发现这些自动化工具能识别出96%的人工在此次观测运行中发现的问题,误报率为24%。最后,我们讨论了未来观测运行中完全自动化验证引力波事件数据质量的前景和潜在挑战。

英文摘要

We present the Data Quality Report Builder toolkit, DQRbuild, a suite of data quality tools that have been developed to vet gravitational-wave events in preparation for the fourth LIGO-Virgo-KAGRA observing run. We explain the main functionality and the many scientific tests that we support. To validate the performance of the tools included in the toolkit, we run a series of tests on all significant candidates shared as public alerts in the third observing run to compare against what was manually reported using human intervention. We find that these automated tools can now identify 96% of the problems identified by humans during this previous observing run, with a 24% false alarm rate. We conclude with a commentary on the prospects and potential challenges for fully automating the process of vetting the data quality for gravitational-wave events identified in future observing runs.

2605.16182 2026-05-18 cs.DC

A GPU Accelerated Temporal Window-Based Random Walk Sampler

基于GPU的基于时间窗口的随机游走采样器

Md Ashfaq Salehin, George Parisis, Luc Berthouze

AI总结 本文提出Tempest,一种基于GPU的流式时间随机游走引擎,通过双索引结构和分层调度器实现高效因果性维护与窗口内驱逐,提升大规模时间流数据处理效率。

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AI中文摘要

时间随机游走,用于采样保持因果性的路径,在微服务、金融和在线平台等领域广泛用于分析时间戳交互。大规模生成此类游走具有挑战性,因为现实中的图随着高流量流而演变,需要连续摄入、高效内存使用和严格的时序顺序以实现实际部署。我们提出了Tempest(TEMPORAL nEtwork Streaming Traversals),一种基于GPU的流式时间随机游走引擎。Tempest结合了基于共享边存储的GPU原生双索引结构和分层协作调度器,该调度器根据每步节点收敛情况在线程、warp或块粒度上调度游走,从而实现高效的起始边选择、逐跳因果性强制执行和基于窗口的驱逐,而无需同步。它进一步提供了闭合形式的常数时间采样器,用于常见的时空偏倚函数。我们的评估表明,在滑动窗口下,Tempest能够持续实时处理十亿边流,其在摄入和游走生成吞吐量上优于先前系统,同时保持因果正确性。

英文摘要

Temporal random walks, which sample causality-preserving paths, are widely used to analyze time-stamped interactions in domains such as microservices, finance, and online platforms. Generating such walks at scale is challenging because real-world graphs evolve as high-volume streams, making continuous ingestion, efficient memory usage, and strict temporal ordering essential for practical deployment. We present Tempest (TEMPoral nEtwork Streaming Traversals), a GPU-accelerated engine for streaming temporal random walks. Tempest combines a GPU-native dual-index organization over a shared edge store with a hierarchical cooperative scheduler that dispatches walks at thread, warp, or block granularity based on per-step node convergence, enabling efficient start-edge selection, hop-by-hop causality enforcement, and window-based eviction without synchronization. It further provides closed-form constant-time samplers for common temporal bias functions. Our evaluation demonstrates sustained real-time processing of billion-edge streams under sliding windows, outperforming prior systems in ingestion and walk generation throughput while preserving causal correctness.

2605.16180 2026-05-18 math.AP

Asymptotic profiles and large-time behavior for 3D micropolar fluid equations with possibly vanishing spin viscosity

三维微极流体方程渐进行为与大时间行为研究:可能消失的自转粘性

Lorenzo Brandolese, Pablo Braz e Silva, Adriana Valentina Busuioc, Dragos Iftimie, Cilon F. Perusato

AI总结 本文研究三维微极流体方程在大时间下的能量衰减行为,推导了线性方程的精确L^2渐近解,并证明非线性系统中受限雷耶解在大时间下的渐进行为,显示其能量衰减率与线性解一致。

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AI中文摘要

我们考虑具有可能消失的自转粘性的三维微极流体,并研究大时间下的能量衰减。我们计算了线性三维微极方程解在t→+∞时的精确L^2渐近解,直至二次项。对于非线性微极系统,我们首先建立了受限雷耶解的存在性。这一新的解概念是必要的,因为不清楚弱有限能量解是否满足强能量不等式。接下来,我们研究受限雷耶解的大时间行为,并证明它们在L^2上像其线性对应物一样渐近,直至能量的临界代数衰减率O(t^{-5/2})。应用一个显著的线性涡度恒等式,我们证明微极旋转场在L^2上的衰减速度比速度场快,允许我们仅对速度场提出假设,而不对角速度提出假设。

英文摘要

We consider 3D micropolar flows with possible vanishing spin viscosity and investigate the decay of the energy for large times. We compute first the exact $L^2$-asymptotic profile, as $t\to+\infty$, for solutions to the linear 3D micropolar equations, up to the second order. For the nonlinear micropolar system, we first establish the existence of restricted Leray solutions. This new notion of solutions is required because it is not known whether the weak finite energy solutions verify a strong energy inequality. Next, we study the large-time behavior of restricted Leray solutions, and prove that they behave asymptotically in $L^2$ like their linear counterpart, up to the critical algebraic decay rate $O(t^{-5/2})$ for the energy. Applying a remarkable linear enstrophy identity, we show that the microrotation field exhibits faster decay in $L^2$ than the velocity field, allowing us to impose our hypothesis on the velocity field only and not on the angular velocity.

2605.16178 2026-05-18 physics.ao-ph

Probabilistic Seasonal Streamflow Forecasting Across California's Sierra Nevada Watersheds with Agentic AI

基于代理AI的加州Sierra Nevada流域概率季节性径流预测

Ignacio Lopez-Gomez, Michael P. Brenner, Tapio Schneider

AI总结 本文提出利用代理AI与自动代码突变系统结合的方法,提升Sierra Nevada流域季节性径流预测的准确性,通过适应性集成三个XGBoost分模型,减少预测误差达29%。

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AI中文摘要

准确的季节性径流预测对于管理加州水库和供水至关重要。冬季积雪为春季和夏季融雪径流提供了预测性,但Sierra Nevada的水文气候变化正在改变其时间和体积。这些变化降低了基于历史数据训练的统计预测能力,凸显了需要改进的预测系统来捕捉融雪变化的必要性。本文展示了代理AI助手与自动代码突变系统协同工作,通过大规模语言模型加速开发具有竞争力的季节性径流预测系统。在我们的框架中,AI代理发现相关数据集,从先前的预测竞赛和科学文献中合成领域知识,并探索模型架构空间,而代码突变系统通过蒙特卡洛树搜索优化代码空间中的每个解决方案。最终系统利用适应性集成的三个XGBoost分模型,通过物理信息特征工程,对23个Sierra Nevada流域的每月Full Natural Flow(FNF)进行1至6个月的预测。在2021-2025年加州运营Bulletin 120预测评估中,代理进化模型在早季累计四月-七月径流预测中表现出色,将流域平均分位数预测误差减少高达29%,为AI驱动的地球科学模型开发提供了新范式。

英文摘要

Accurate seasonal runoff forecasts are critical for managing California's reservoirs and water supply for millions of its residents. Winter snow accumulation provides a strong source of predictability of snowmelt-based runoff in the spring and summer months, but progressive hydroclimatic changes in the Sierra Nevada are altering its timing and volume. These changes reduce the skill of statistical forecasts trained on historical data, highlighting the need for improved forecasting systems that can capture the changing dynamics of snowmelt. Here we demonstrate that a collaborative workflow between an agentic AI assistant and an automated code-mutation system, both powered by large language models, can accelerate the development of competitive seasonal runoff forecasting systems. In our framework, the AI agent discovers relevant datasets, synthesizes domain knowledge from prior forecasting competitions and the scientific literature, and explores the space of model architectures, while the code-mutation system refines each of the solutions explored by the agent through Monte Carlo Tree Search over the code space. The resulting system forecasts monthly Full Natural Flow (FNF) at 1- to 6-month lead times across 23 Sierra Nevada watersheds using an adaptive ensemble of three XGBoost quantile regression sub-models with physics-informed feature engineering. Evaluated against California's operational Bulletin 120 forecasts over 2021-2025, the agent-evolved model achieves superior skill for early-season cumulative April-July runoff predictions, reducing watershed-averaged quantile forecast error by up to 29%, and offering a new paradigm for AI-driven scientific model development in the geosciences.

2605.16177 2026-05-18 gr-qc astro-ph.HE

Observational signatures of negative mass wormholes through their shadows

具有负质量物体的虫洞的观测特征通过其阴影

Shin'ichi Nojiri, Sergei D. Odintsov, Diego Sáez-Chillón Gómez

AI总结 研究负质量物体系统,探讨其与正质量物体的束缚态及引力波特性,提出消除鬼态的虫洞模型并模拟其光学外观,对比黑洞与虫洞的光环子结构差异。

Comments 22 pages, 10 figures

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AI中文摘要

我们研究包含负质量物体(NMOs)的系统。在由一个正质量物体和一个NMO组成的系统中,尽管NMO对正质量物体施加的是排斥力,仍存在束缚态。与由两个正质量物体组成的标准系统不同,该系统发出的引力波在时间上表现出频率和振幅的降低。我们提出Ellis-Bronnikov虫洞的时间演化模型,并提出一种消除构造Ellis-Bronnikov虫洞时出现的鬼态的公式,该虫洞是NMO的候选者。此外,进行了数值模拟以获得此类NMO的光学外观。观察到的亮度也与Schwarzschild黑洞和Simpson-Visser虫洞进行了比较,导致围绕中心物体的光环子结构存在明显差异。

英文摘要

We investigate systems containing objects with negative mass (NMOs). In a system consisting of one object with positive mass and one NMO, a bound state exists even though the force exerted by the NMO on the object with positive mass is repulsive. Unlike a standard system consisting of two objects with positive mass, the gravitational waves emitted from this system exhibit a decrease in frequency and amplitude over time. We propose a model of the time evolution of the Ellis-Bronnikov wormhole, along with a formulation that eliminates the ghost that appears when constructing the Ellis-Bronnikov wormhole, a candidate for an NMO. Furthermore, numerical simulations are performed to obtain the optical appearance of such NMOs. The observed luminosity is also compared with the Schwarzschild black hole and with the Simpson-Visser wormhole, leading to clear differences in the photon ring substructure around the central object.

2605.16176 2026-05-18 cs.IT cs.NI eess.SP math.IT

How Far Back in Time a Digital Twin Reflects the State of the Physical Object: Age of Staleness

数字双胞胎能追溯到多远的时间以反映物理对象的状态:陈旧度年龄

Ismail Cosandal, Sennur Ulukus

AI总结 本文提出一种新的度量标准——陈旧度年龄(AoS),用于衡量当前估计正确的时间间隔。通过分析马尔可夫源和优化问题,展示了该度量在数字双胞胎网络中的应用。

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AI中文摘要

开创性的度量标准信息年龄(AoI)被引入以衡量通信网络中的信息新鲜度。尽管其具有变革性,但在某些应用中如远程监控,它仍存在不足,因为它是一个语义无关的度量标准,不考虑随机过程的动态性。有必要通过一个结合新鲜度和语义方面的度量标准来量化远程估计器的性能。为此,本文引入了一个新的度量标准,称为陈旧度年龄(AoS),用于衡量当前估计正确的时间。首先,我们分析了一个简单的场景,其中n-ary对称马尔可夫源被监控器通过恒定采样率观测,得出AoS的闭式表达式,并证明其随采样率单调递减。接下来,我们考虑多个不同的马尔可夫源,并制定了一个优化问题,其中远程监控器将总采样率分配给跟踪源。尽管优化问题是非凸的,但其结构适合使用聚块算法获得近似最优解,该算法利用了目标函数的单调性。虽然新的AoS度量标准可能适用于许多场景,但我们认为它特别适用于数字双胞胎网络(DTN),其中多个物理对象(POs)被监控,以维持它们的数字表示,即它们的数字双胞胎(DT)。

英文摘要

The groundbreaking metric age of information (AoI) has been introduced to measure information freshness in communication networks. As transformational as it is, AoI metric falls short in some applications, such as remote monitoring, since it is a semantic-agnostic metric which does not consider the dynamics of the random process. There is a need to quantify the performance of a remote estimator via a metric that combines freshness and semantic aspects. To this end, in this paper, we introduce a novel metric coined age of staleness (AoS) that measures when the last time that the current estimation was correct. First, we analyze a simple scenario where an $n$-ary symmetric Markov source is observed by a monitor via a constant sampling rate, obtain a closed-form expression for the AoS, and show that it is a monotonically decreasing function of the sampling rate. Next, we consider multiple distinct Markov sources, and formulate an optimization problem, where the remote monitor allocates the total sampling rate to tracking the sources. Although the optimization problem is non-convex, its structure is suitable for obtaining a near-optimal solution using the polyblock algorithm, which leverages the monotonicity of the objective function. While the new AoS metric could be applicable in many scenarios, we believe it is particularly well-suited for a digital twin network (DTN) where multiple physical objects (POs) are monitored with a total sampling rate constraint to maintain a digital representation of them, namely, their digital twin (DT).

2605.16174 2026-05-18 math.DS

A multi-objective optimization framework for sustainable transitions

为可持续转型设计的多目标优化框架

Cris R. Hasan, Luigi Cao Pinna, John Crawford, Stuart Kauffman, Roger Koppl, Jonathan Lee, Demival Vasques, Edward Weinberger

AI总结 本文提出多目标优化框架,用于评估政策对可持续目标的综合影响,解决目标冲突和政策间依赖问题,发现资源增加提升性能但边际收益递减。

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AI中文摘要

实现公正和可持续的转型需要追求多个社会和环境目标。两大障碍阻碍这一进程:(1)目标之间常存在冲突,(2)针对这些目标的政策通常孤立规划,忽视系统中的复杂依赖关系。为此,我们提出一个通用建模框架,通过政策-目标网络捕捉系统依赖关系,采用动态进化算法与网络分析相结合的多目标优化模型。算法通过动态重新分配资源来处理冲突目标。研究发现增加资源通常提升性能,但边际收益在递减点停滞。敏感性分析显示系统主要受预算限制、网络密度(互联性)和政策有效性三大因素驱动。本文为开发决策支持工具奠定了基础,帮助政策制定者在大量动态相互作用目标问题中实现最优结果。

英文摘要

Achieving a just and sustainable transition requires the pursuit of multiple social and environmental targets. Two primary barriers impede this process: (1) targets are often in conflict with each other, and (2) policies aimed at these targets are commonly planned in isolation, neglecting complex interdependencies in the system. To address these challenges, we propose a general modeling framework that evaluates the holistic impact of policies and decision-making on sustainability targets while capturing system interdependencies in a policy-target network. Inspired by Kauffman's NK fitness landscape, our framework takes the form of a multi-objective optimization model that employs a dynamic evolutionary algorithm in conjunction with network analysis. Our algorithm accounts for tradeoffs between conflicting targets by dynamically reallocating resources to the most impactful and efficient policies. One key finding indicates that increasing resources generally enhances performance, but marginal gains stagnate at a point of diminishing returns. Sensitivity analysis reveals that the system is primarily driven by three factors: budget constraint, network density (interconnectivity), and policy efficacy. This study serves as a foundational step towards developing a decision-support tool that assists policymakers in achieving optimal outcomes for problems with a large number of dynamically interacting targets.

2605.16173 2026-05-18 math.AP

On the Role of the Viscosity Parameters in the Large Time Asymptotics of 2D Micropolar Flows

关于粘性参数在二维微极流大时间渐进行为中的作用

Lorenzo Brandolese, Adriana Valentina Busuioc, Dragos Iftimie, Cilon F. Perusato

AI总结 本文研究了二维微极流中四个粘性参数的作用,发现大时间行为仅依赖于运动粘性系数μ,而非其他参数。通过新的涡量类似恒等式,揭示了微旋转效应增强耗散的作用。

Comments to appear in the Archive for Rational Mechanics and Analysis

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AI中文摘要

我们研究了在二维设定中,粒子具有微结构(微极流)且可旋转的流体中四个粘性参数的作用。首先,我们建立了全局有限能量解的存在性,满足经典能量等式,对于任意初始数据在$ L^2 $中。我们构造了解在$t\to+\infty$时的渐进行为。我们得出显著结论:大时间行为仅依赖于运动粘性系数$ μ $,而非其他参数$ χ $(涡粘性)、$ γ $(spin粘性)和$ κ $(gyroviscosity)。我们的主要工具是一个新的涡量类似恒等式,涉及流体涡量与微角速度之差。另一个分析结果是识别了微旋转效应显著增强耗散的场景,从而减缓大时间的流体运动。

英文摘要

We investigate the role of the four viscosity parameters, in fluids where the particles possess a microstructure (micropolar flows) and are allowed to rotate in a two-dimensional setting. We first establish the existence of global finite energy solutions, satisfying the classical energy equality, for arbitrary initial data in $L^2$, in the case of a spin viscosity $γ\ge0$, and we construct the asymptotic profiles of the solution as $t\to+\infty$. We deduce the remarkable fact that the large time behavior only depends on the kinematic viscosity $μ$, and not on the other parameters $χ$ (vortex-viscosity), $γ$ (spin viscosity) and $κ$ (gyroviscosity) of the model. Our primary tool is a new enstrophy-like identity of independent interest, involving the difference between the fluid vorticity and the micro-angular velocity. Another consequence of our analysis is the identification of scenarios where the presence of micro-rotational effects significantly enhances dissipation, thereby slowing down the fluid motion at large times.

2605.16172 2026-05-18 hep-th

Background-Equivariant BRST Observables and i-Particle Propagators from an Auxiliary Quartet in SU(3) Yang-Mills

背景对易的BRST可观测量和i-粒子传播子从SU(3)杨-米尔斯的辅助四元组

M. M. Amaral, V. E. R. Lemes

AI总结 本文通过构造SU(3)杨-米尔斯理论中的BRST-精确四元组机制,在Landau规范下实现纯杨-米尔斯理论等价性,扩展场内容并揭示i-粒子传播子结构。

Comments 27 pages, nofigures

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AI中文摘要

本文在Landau规范下构造了SU(3)杨-米尔斯理论中的BRST-精确四元组机制。四元组部分在标准真空下在上同调上是平凡的,确保等价于纯杨-米尔斯理论。变换规则同时具有交换子和反交换子结构,将场内容从八扩展到九个自由度。在规定了Cartan导向背景(与经典运动方程兼容)下,理论诱导出质量矩阵,复现了先前复制模型中不同的i-粒子传播子结构,而无需显式破坏项。为尊重BRST双胞胎定理,我们将背景生成与可观测性上同调分离。引入背景对易的协变Cartan框架,我们证明过滤的i-粒子双线性是所有阶离壳BRST余子的最低扰动成分。尽管基本传播子有复杂的极点,其主导的两点函数仍保留Källén--Lehmann表示,具有实正阈值和正谱密度。完全量子化的动作提供了一致的重整化框架,建立了一种系统机制,用于恢复i-粒子传播子并识别从BRST-精确四元组扩展到SU(3)的BRST控制的复合可观测量。

英文摘要

In this work, we construct a BRST-exact quartet mechanism in $SU(3)$ Yang-Mills theory in the Landau gauge. The quartet sector is cohomologically trivial in the standard vacuum, ensuring equivalence to pure Yang-Mills theory. The transformation rules carry both commutator and anticommutator structures, enlarging the field content from eight to nine degrees of freedom. Working in a prescribed Cartan-oriented background (compatible with the classical equations of motion), the theory induces a mass matrix reproducing the distinct $i$-particle propagator structure of earlier replica models without explicit breaking terms. To respect the BRST doublet theorem, we separate background generation from observable cohomology. Introducing a background-equivariant covariant Cartan frame, we show the filtered $i$-particle bilinear is the lowest perturbative component of an all-orders off-shell BRST cocycle. Despite the complex poles of elementary propagators, its leading two-point function retains a Källén--Lehmann representation with a real positive threshold and positive spectral density. The fully quantized action provides a consistent framework for renormalizability, establishing a systematic mechanism for recovering $i$-particle propagators and identifying BRST-controlled composite observables from a BRST-exact quartet extended to $SU(3)$.

2605.16169 2026-05-18 cs.LO cs.MS physics.chem-ph

LeanBET: Formally-verified surface area calculations in Lean

LeanBET:在Lean中形式验证的表面积计算

Ejike D. Ugwuanyi, Colin T. Jones, John Velkey, Tyler R. Josephson

AI总结 本文在Lean4中实现并验证了BET方法的完整流程,包括窗口枚举、单调性检查、膝点选择和线性回归,证明了算法的正确性并验证了与BETSI参考方法的一致性。

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AI中文摘要

Brunauer--Emmett--Teller(BET)方法是通过吸附等温线估计表面积的标准工具,但其实际实现涉及多个算法步骤,其正确性通常未被明确说明。本文在Lean4定理证明器中提出了一个完全可执行且形式验证的BET分析流程。我们的形式化涵盖了完整的BET表面识别(BETSI)工作流程,包括窗口枚举、单调性检查、膝点选择和线性回归。我们使用浮点运算进行计算,并在实数上开发了相应的正确性证明,使用共享多态实现支持两者。在证明方面,我们展示了算法返回的回归系数与规格定义一致,并在给定假设下最小化最小二乘误差。我们还形式化了BET线性化表达式的代数推导,并将其直接连接到可执行分析流程。我们进一步证明窗口枚举是正确且完整的,且可接受性检查和基于膝点的选择满足其正式规范。我们评估了该实现与BETSI参考方法在基准吸附等温线上的表现。与BETSI相比,LeanBET在19个等温线中对18个达到机器精度,仅在UiO-66数据集上存在0.03%的偏差。这证明了在Lean中构建科学计算工作流程的可能性,既提供了形式验证保证,又与已建立的Python参考实现具有数值一致性。

英文摘要

The Brunauer--Emmett--Teller (BET) method is a standard tool for estimating surface areas from adsorption isotherms, yet practical implementations involve multiple algorithmic steps whose correctness is rarely made explicit. In this work, we present a fully executable and formally verified BET analysis pipeline implemented in the Lean~4 theorem prover. Our formalization covers the complete BET Surface Identification (BETSI)-style workflow, including window enumeration, monotonicity checks, knee selection, and linear regression. We carry out computations in floating-point arithmetic and develop the corresponding correctness proofs over the real numbers, using a shared polymorphic implementation that supports both. On the proof side, we show that the regression coefficients returned by the algorithm agree with their specification-level definitions and minimize the least-squares error under the stated assumptions. We also formalize the algebraic derivation of the BET linearized expression and connect that result directly to the executable analysis pipeline. We further prove that the window enumeration is sound and complete, and that the admissibility checks and knee-based selection satisfy their formal specifications. We evaluate the implementation against the BETSI reference method on benchmark adsorption isotherms. Compared to BETSI, LeanBET agrees to machine precision for 18 of the 19 isotherms, with only a 0.03\% deviation for the UiO-66 dataset. This demonstrates that a scientific computing workflow can be built in Lean, yielding both formal verification guarantees and numerical agreement with an established Python reference implementation.

2605.16167 2026-05-18 cs.CR cs.CY cs.DC cs.SE

From Backup Restoration to Minimum Viable Factory Recovery: A Systematization of Ransomware Recovery in Manufacturing Systems

从备份恢复到最小可行工厂恢复:制造系统勒索软件恢复的系统化

Chun Yin Chiu

AI总结 本文系统化研究制造系统勒索软件恢复问题,识别九种恢复失败模式,提出最小可行工厂恢复框架,为关键制造基础设施能力导向的恢复提供证据校准基础。

Comments 46 pages, submitted manuscript. Includes taxonomy, recovery lifecycle, and benchmarking framework for ransomware recovery in manufacturing/ICS environments

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AI中文摘要

关键制造基础设施的勒索软件恢复不仅是备份恢复问题。生产能力依赖于耦合的信息技术、运营技术、物理过程、质量、物流、身份和供应商系统。在勒索软件攻击后,工厂可能重建服务器但仍无法调度工作、认证操作员、信任工程工作站、释放产品、重新连接OT资产或协调供应商。本文将制造勒索软件恢复重新定义为关键基础设施连续性和依赖性问题。我们进行了PRISMA指导的多声调文献综述,涵盖学术文献、标准和政府指导、威胁框架、公共事件材料和已验证的全文/源页证据锚点。综述识别出九种证据支持的恢复失败模式:依赖盲区、不信任的恢复点和备份过度信任、身份信任崩溃、缺乏恢复证明、不安全的OT重新连接、分割假设失败、能力不匹配、未管理的降级操作和供应商依赖失败。我们随后引入最小可行工厂恢复(MVF恢复):在当前依赖性、证据、身份、数据、网络、OT和供应商约束下可恢复的最小安全、可信和操作有意义的生产能力。MVF恢复是一种分析目标,而非完整恢复、实施或安全认证的主张。本文还推导出恢复生命周期和基准方向作为次要输出。贡献是为关键制造基础设施能力导向的勒索软件恢复提供证据校准的基础。

英文摘要

Ransomware recovery in critical manufacturing infrastructure is not only a backup-restoration problem. Production capability depends on coupled information-technology, operational-technology, physical-process, quality, logistics, identity, and supplier systems. After ransomware, a plant may rebuild servers yet remain unable to schedule work, authenticate operators, trust engineering workstations, release product, reconnect OT assets, or coordinate suppliers. This paper reframes manufacturing ransomware recovery as a critical-infrastructure continuity and interdependency problem. We conduct a PRISMA-guided multivocal review of academic literature, standards and government guidance, threat frameworks, public incident material, and verified full-text/source-page evidence anchors. The review identifies nine evidence-backed recovery failure modes: dependency blindness, untrusted restore point and backup over-trust, identity trust collapse, lack of proof-of-recovery, unsafe OT reconnection, segmentation assumption failure, capability mismatch, unmanaged degraded operation, and supplier dependency failure. We then introduce Minimum Viable Factory Recovery (MVF Recovery): the smallest safe, trusted, and operationally meaningful production capability that can be resumed under current dependency, evidence, identity, data, network, OT, and supplier constraints. MVF Recovery is an analytical objective rather than a claim of full recovery, implementation, or safety certification. The paper derives a recovery lifecycle and benchmarking directions as secondary outputs. The contribution is an evidence-calibrated foundation for capability-centric ransomware recovery in critical manufacturing infrastructure.

2605.16166 2026-05-18 cond-mat.mtrl-sci

Rapid Atmospheric Vapor Deposition of H:In2O3 Transparent Conducting Oxide Thin Films

快速大气压水蒸气沉积H:In2O3透明导电氧化物薄膜

Xiaoyu Guo, Hae-Jun Seok, Eilidh L. Quinn, Matthew K Sharpe, Callum. D. McAleese, Yi-Teng Huang, Xinjuan Li, Kexue Li, Chia-Yu Chang, Yongjie Wang, John O'Sullivan, Katie L. Moore, Caterina Ducati, Ruy Sebastian Bonilla, Han-Ki Kim, Abderrahime Sekkat, Robert L. Z. Hoye

AI总结 本研究通过大气压化学气相沉积法快速制备低电阻高透光率的H:In2O3薄膜,其性能优于商业溅射InSnO,且在温和条件下实现高性能透明导电氧化物的高效制造。

Comments 20 pages, 3 figures

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AI中文摘要

透明导电氧化物(TCOs)对光电子工业至关重要,但缺乏有效且经济的方法快速沉积低电阻、高透光率的薄膜而不损害敏感材料,包括新兴的软半导体如金属卤化物钙钛矿。本文使用大气压化学气相沉积(AP-CVD)合成H:In2O3薄膜,其表电阻为7.20±0.01 Ohm/sq(0.50±0.06 mOhm·cm电阻率),近红外透光率高达89%,超越商业溅射沉积的氧化铟锡。生长速率比原子层沉积(ALD)高40倍,AP-CVD薄膜在仅140°C的常压条件下即可完全加工。二次离子质谱和时间飞行弹性反冲探测分析与载流子浓度变化的比较表明,H掺杂来自氧化剂水。当氧化剂从O2改为H2O时,迁移率从40±10 cm²/Vs增加到160±30 cm²/Vs,归因于H掺杂剂钝化氧空位,这些空位作为载流子散射中心。本工作确立了AP-CVD作为快速、可扩展且经济的高性能TCOs制造方法,使用与热敏感材料兼容的温和生长条件。

英文摘要

Transparent conducting oxides (TCOs) are essential for the optoelectronics industry, but there is a critical gap in cost-effective methods to rapidly deposit low sheet resistance, high transmittance films without damaging delicate materials, including emerging soft semiconductors like metal-halide perovskites. In this work, atmospheric pressure chemical vapor deposition (AP-CVD) is used to synthesise H:In2O3 films with 7.20+/-0.01 Ohm/sq sheet resistance (0.50+/-0.06 mOhm.cm resistivity) and transmittance up to 89% in the near-infrared (NIR), surpassing commercial sputter-deposited indium tin oxide. The growth rate is 40x higher than atomic layer deposition (ALD), and the AP-CVD films are fully processed under atmospheric conditions at only 140 C. Comparison of secondary ion mass spectrometry and time-of-flight elastic recoil detection analysis with changes in carrier concentration indicate that H dopants are introduced from the water oxidant. There is an increase in mobility form 40+/-10 cm2/Vs to 160+/-30 cm2/Vs when changing from O2 to H2O as the oxidant, which is attributed to H dopants passivating oxygen vacancies that act as carrier scattering centers. This work establishes AP-CVD as a promising method for manufacturing high figure-of-merit TCOs in a rapid, scalable and cost-effective manner, using mild growth conditions compatible with thermally-sensitive materials.

2605.16162 2026-05-18 math.PR hep-lat math-ph math.MP

Deconfinement For $\mathrm{SO}(3)$ Lattice Yang-Mills at Strong Coupling

强耦合下SO(3)晶格杨-米尔斯理论的去束缚

Ron Nissim

AI总结 研究强耦合下SO(3)晶格杨-米尔斯理论是否满足威利森准则,证明其不满足,揭示了非平凡中心群对束缚态的影响。

Comments 17 pages, 4 figures

详情
AI中文摘要

我们严格证明了具有平凡中心群的晶格杨-米尔斯理论不满足威利森准则。具体而言,我们证明了在强耦合 regime 下,SO(3) 晶格杨-米尔斯理论不满足威利森准则。

英文摘要

We make rigorous the physics prediction that lattice Yang-Mills theories with gauge groups which have trivial centers do not satisfy Wilson's criterion for quark confinement. Specifically we prove that $\mathrm{SO}(3)$ lattice Yang-Mills theory does not satisfy Wilson's criterion in a strong coupling regime.

2605.16161 2026-05-18 cs.AR

SRAM Based Digital Custom Compute Engine for Improved Area Efficiency of AI Hardware

基于SRAM的数字定制计算引擎用于提高AI硬件的面积效率

Narendra Singh Dhakad, Santosh Kumar Vishvakarma

AI总结 本文提出一种利用10T SRAM单元实现基于XNOR的存内计算架构,通过集成全加器减少路由复杂度,提升AI硬件面积效率。

详情
AI中文摘要

本文提出一种利用10T SRAM单元实现基于XNOR的存内计算架构,旨在缓解传统存内计算系统中普遍遇到的大量路由挑战。通过在存内乘法单元之间集成全加器,所提出的设计实现了路由复杂度的50%减少。该架构利用XNOR计算优化二进制神经网络(BNNs)的乘加(MAC)操作。此外,采用14T基于的全加器构建加法器树中的N位进位进位加法器,相比传统28T基于的CMOS设计显著减少面积。10T SRAM XNOR计算进一步增强了MAC操作的延迟。所提出的方法减少了延迟和面积开销,将整体硬件的面积效率提高了2.67倍,相比最先进的方法。

英文摘要

This paper presents a novel architecture utilizing a 10T SRAM cell for XNOR-based in-memory computing, aimed at mitigating the extensive routing challenges typically encountered in conventional in-memory computing systems. By integrating a full adder between in-memory multiplication cells, the proposed design achieves a 50% reduction in routing complexity. The architecture performs multiply-accumulate (MAC) operations using XNOR computation optimized for binary neural networks (BNNs). Additionally, a 14T-based full adder is employed to construct an N-bit ripple carry adder in the adder tree, significantly reducing the area compared to traditional 28T-based CMOS designs. The 10T SRAM XNOR computation further enhances the latency for MAC operations. The proposed approach reduces the latency and area overhead, improving the overall hardware's area efficiency by 2.67x compared to the state-of-the-art.

2605.16160 2026-05-18 math.PR

Revisiting Toeplitz and Hankel random matrices via $*$-convergence of circulant-type matrices

重新审视通过*收敛的循环型矩阵的Toeplitz和Hankel随机矩阵

Arup Bose, Pradeep Vishwakarma

AI总结 本文研究了循环型矩阵的*收敛性,证明了对称Toeplitz和Hankel随机矩阵的谱分布收敛到实高斯分布和对称Rayleigh分布,揭示了其极限分布的结构。

Comments 22 pages

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AI中文摘要

我们建立了随机循环矩阵和特定确定性对角矩阵的联合*收敛性。我们还证明了斜循环和左斜循环随机矩阵的经验谱分布几乎必然收敛到复高斯分布和对称Rayleigh分布。对称Toeplitz和Hankel随机矩阵的*收敛性已为人所知,但其极限分布的性质尚不明确。通过利用循环、反循环和左斜循环矩阵与Hankel和Toeplitz矩阵之间的联系,我们证明了随机对称Toeplitz矩阵的*收敛性到两个非交换自共轭变量的和,每个变量具有实高斯分布。对于非对称Toeplitz矩阵,结果类似,但变量不是自共轭且具有复高斯分布。随机Hankel矩阵被证明在*分布下收敛到两个自共轭变量的和,每个变量具有对称Rayleigh分布。这些结果还导致了对称Toeplitz和Hankel矩阵经验谱分布收敛性的不同证明,以及极限谱分布矩的表达方式略有不同。

英文摘要

We establish the joint $*$-convergence of a random circulant matrix and a specific deterministic diagonal matrix. We also show that the empirical spectral distributions of skew-circulant and left skew-circulant random matrices converge weakly a.s.~to complex Gaussian and symmetrized Rayleigh distributions, respectively. The $*$-convergence of symmetric Toeplitz and Hankel random matrices is well known. So is the weak convergence of their random spectrum. However, not much is known about the limits. We exploit the connections of circulant, reverse circulant, and left skew-circulants with the Hankel and Toeplitz matrices, to show the $*$-convergence of the random symmetric Toeplitz matrix to the sum of two non-commutative self-adjoint variables, each having a real Gaussian distribution. A similar result holds for the non-symmetric Toeplitz matrix, but the variables are not self-adjoint and have a complex Gaussian distribution. The random Hankel matrix is shown to converge in $*$-distribution to a sum of two self-adjoint variables, each of which has a symmetrized Rayleigh distribution. As a consequence of these results, we also obtain a different proof of the convergence of the empirical spectral distribution of symmetric Toeplitz and Hankel matrices, and a slightly different way of expressing the moments of the limit spectral distribution.

2605.16159 2026-05-18 cs.NI

Restoring CFAR Validity for Single-Channel IoT Sensor Streams: A Monte Carlo Comparison of Five Detectors under Cortex-M0+ Constraints

恢复单通道物联网传感器流中CFAR有效性:在Cortex-M0+约束下对五种检测器的蒙特卡洛比较

Sergii Makovetskyi, Lars Thomsen

AI总结 本文在Cortex-M0+约束下比较了五种检测器,TSNFA在事件检测率、精度和带宽方面表现优异,其他检测器在不同指标上各有不足。

Comments 14 pages, 3 figures, 8 tables. Companion data, simulator code, and interactive figures: https://doi.org/10.5281/zenodo.20192887. Interactive data page: https://gnacode.github.io/IEEE-MONTECARLO/. Submitted to IEEE Internet of Things Journal

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AI中文摘要

实时物联网网状传感器网络中的事件检测必须在灵敏度和受限网状无线电的误报负载之间取得平衡。本文通过蒙特卡洛方法比较了TSNFA检测器与其他四种经典比较器,包括Lipski FFT能量检测器、CA-CFAR、OS-CFAR和CUSUM。所有五种检测器均符合Cortex-M0+类封装,处理1D 100Hz时间序列,使用时间参考窗口代替传统雷达CFAR的空间参考单元。在四个配置(10和50个节点;12dB和18dB SNR)的因子设置下,TSNFA实现了99.97%至100%的事件检测率,100%的事件精度和零误报簇。其他经典比较器在不同质量维度上各有优劣。Lipski FFT(k=3)、CA-CFAR和OS-CFAR保持接近完美的检测率,但事件精度低于3%,每节点带宽在145 kB/h至1.2 MB/h之间。CA-CFAR和OS-CFAR在误报性能上不可区分,两者都饱和了相同的宽带统计失败模式。CUSUM在SNR依赖下检测率从约70%(18dB)降至51%(12dB)。TSNFA是唯一在高检测率、高精度和低每节点带宽方面同时取得成功的算法。

英文摘要

Real-time event detection in IoT mesh sensor networks must balance sensitivity against false-positive load on a constrained mesh radio. We present a Monte Carlo comparison of the Temporal Spectral Noise-Floor Adaptation (TSNFA) detector against four classical comparators drawn from the radar Constant False Alarm Rate (CFAR) family and from sequential change detection: the Lipski FFT energy detector, Cell-Averaging CFAR (CA-CFAR), Ordered-Statistic CFAR (OS-CFAR), and state-machine Cumulative Sum (CUSUM). All five detectors are implemented to fit a Cortex-M0+ class envelope, process a 1-D 100 Hz time series in 128-sample frames, and use temporal reference windows in place of the spatial reference cells of conventional radar CFAR. Across a factorial set of four configurations (10 and 50 nodes; 12 dB and 18 dB SNR), each replicated five times over 24 hours, TSNFA achieves 99.97 to 100% event detection rate with 100% event precision and zero false-positive clusters per node. The classical comparators each succeed on one quality dimension and fail on another. Lipski FFT (k = 3), CA-CFAR, and OS-CFAR all maintain near-perfect detection rate but with event precision below 3% and per-node bandwidth between 145 kB/h and 1.2 MB/h. CA-CFAR and OS-CFAR are indistinguishable in false-alarm performance, both saturating the same broadband-statistic failure mode. CUSUM shows an SNR-dependent detection-rate drop from about 70% at 18 dB to 51% at 12 dB. TSNFA is the only algorithm tested that simultaneously achieves high detection rate, high precision, and low per-node bandwidth.