2026-01-08 19:11:48
NFL Wild Card Weekend player statistical leaders, props, picks: Bills' Allen, Packers' Jacobs could thrive
https://www.cbssports.com/nfl/news/nfl-wil
NFL Wild Card Weekend player statistical leaders, props, picks: Bills' Allen, Packers' Jacobs could thrive
https://www.cbssports.com/nfl/news/nfl-wil
Automatically describe data and models as text using the {report} package. #rstats
An Oxford Internet Institute study of 445 AI benchmarks finds many tests lack clear aims and comparable statistical methods, potentially exaggerating AI claims (Jared Perlo/NBC News)
https://www.nbcnews.com/tech/tech-news/ai-c…
Week 9 Monday Night Football Statistical Review: Cardinals beat Cowboys behind Jacoby Brissett https://www.pff.com/news/nfl-week-9-monday-night-football-statistical-review-cardinals-cowboys-2025
Updated NFL Power Rankings: New 1-32 poll, plus the most shocking statistics of the 2025 season https://www.espn.com/nfl/story/_/id/47189899/nfl-week-15-power-rankings-poll-32-teams-2025-most-shocking-statistics
AFarePart: Accuracy-aware Fault-resilient Partitioner for DNN Edge Accelerators
Mukta Debnath (University of Calcutta, India), Krishnendu Guha (University College Cork, Ireland), Debasri Saha (University of Calcutta, India), Amlan Chakrabarti (University of Calcutta, India), Susmita Sur-Kolay (Indian Statistical Institute, India)
https://a…
Optical clocks with accuracy validated at the 19th digit
K. J. Arnold, M. D. K. Lee, Zhao Qi, Qichen Qin, Zhang Zhao, N. Jayjong, M. D. Barrett
https://arxiv.org/abs/2512.07346 https://arxiv.org/pdf/2512.07346 https://arxiv.org/html/2512.07346
arXiv:2512.07346v1 Announce Type: new
Abstract: We report a comprehensive evaluation of all known sources of systematic uncertainty for two independent $^{176}$Lu$^ $ single-ion optical references, finding total systematic uncertainty of $1.1\times10^{-19}$ and $1.4\times10^{-19}$ for the two individual systems and $9.6\times10^{-20}$ for the difference. Through direct comparison via correlation spectroscopy, we demonstrate a relative frequency agreement of $-2.4\pm(5.7)_\mathrm{stat}\pm(1.0)_\mathrm{sys}\times10^{-19}$, where `stat' and `sys' indicate the statistical and systematic uncertainty, respectively. The comparison uncertainty is statistically limited after approximately 200 hours of averaging with a measurement instability of $4.8\times10^{-16}(\tau/\mathrm{s})^{-1/2}$.
toXiv_bot_toot
Great seminar: Understanding Statistical Process Control by Donald Wheeler
https://www.youtube.com/watch?v=rP3i97Q6XjM&list=PLUeXRJ5a5UC1cDLxbZPs6Jg_d9m-nvIjO &index=2
Statistical milestones are in reach for Cowboys in Week 18 https://insidethestar.com/statistical-milestones-are-in-reach-for-cowboys-in-week-18
NFL stats and records, Week 14: Browns QB Shedeur Sanders enters rarefied rookie air https://www.nfl.com/news/nfl-stats-and-records-week-14-browns-qb-shedeur-sanders-enters-rarefied-rookie-air
I wrote a blog post about the often stated but never explained assumption that communities in graphs should always be connected.
This “connected cluster axiom” is inconsistent with statistical significance and null models that underlie the most widely employed methods.
https://skewed.de/lab/posts/connected-
LLMs never make mistakes or hallucinate, as this presupposes they actually know what they’re doing—they don’t: they have no concept of what words mean.
They don’t even deal with language, as they generate chains of big numbers based on statistical correlations.
The resulting transformation into human-readable text is always only a statistical approximation of what a real answer could maybe look like.
By sheer chance sometimes LLMs are even correct (usually for trivial things); however above a certain length of answer it is always wrong.
Do you need better performance than what the standard #tidyverse functions have? {collapse} might be worth a look: https://sebkrantz.github.io/collapse/
Revealing stimulus-dependent dynamics through statistical complexity
Edson V. de Paula, Rafael M. Jungmann, Antonio J. Fontenele, Leandro A. A. Aguiar, Pedro V. Carelli, Fernanda S. Matias, Mauro Copelli, Nivaldo A. P. de Vasconcelos
https://arxiv.org/abs/2512.05007
It would be great if there was one simple trick for winning elections. But 'just be more moderate' isn't it.
In fact, you can use the NYT's exact method to 'prove' a 'Progressive Advantage' of 1.4 pts.
This piece shows what's really going on: funded candidates do better than unfunded ones.
-- Adam Bonica
Attention Factors for Statistical Arbitrage
Elliot L. Epstein, Rose Wang, Jaewon Choi, Markus Pelger
https://arxiv.org/abs/2510.11616 https://arxiv.org/pdf…
Statistical Guarantees for High-Dimensional Stochastic Gradient Descent
Jiaqi Li, Zhipeng Lou, Johannes Schmidt-Hieber, Wei Biao Wu
https://arxiv.org/abs/2510.12013 https://
I was just thinking about how the fact that #Musk named his AI "Grok" is evidence that he "reads sci-fi" in the same way he "plays video games." Like, he claims to do it but when it comes time to show the evidence it's clear he does not actually "grok" it.
Like... To grok something is to have a layer deeper than simply knowledge, but mathematically encoding statistical relationships between words is pretty obviously not even understanding much less qualifying as "groking" it. In the book, the ability to grok something is also the ability to annihilate that thing with a thought. Just pretending that an LLM actually *was* something that could become AGI (which it's not), this name would imply the AI would have the power to annihilate reality. That's bad. That's a bad name for an AI.
And why would a greedy fascist name something of his after something an anarchist communist space Jesus taught to the hippie cult he started? There are so many layers of facepalm to this. It's some kind of php-esque fractal of incompetence.
Like, there's no reason to talk about this but my brain does this to me sometimes and now it's your problem.
"Please refer to this as 'advanced statistical inference' to avoid triggering the Butlerians."
Generalized Jeffreys's approximate objective Bayes factor: Model-selection consistency, finite-sample accuracy, and statistical evidence in 71,126 clinical trial findings
Puneet Velidi, Zhengxiao Wei, Shreena Nisha Kalaria, Yimeng Liu, C\'eline M. Laumont, Brad H. Nelson, Farouk S. Nathoo
https://arxiv.org/abs/2510.10358
The fastverse is a suite of complementary high-performance packages for statistical computing and data manipulation in R. #rstats
"The greatest statistical analysis is nothing if it can’t be implemented by people. But people learn in different ways. Some like good stories, others like pictures. Only a few like equations..."
https://management.curiouscatblog.net/
In the 1950s, the Air Force realized that planes were crashing because cockpits didn’t actually fit the pilots’ bodies. Wrong size = danger!! They commissioned a researcher to develop a new, more correct set of standard dimensions for the seat, yoke, etc.
That researcher, Gilbert S. Daniels, came up with 10 body measurements that matter to cockpit size. He gathered measurements of several thousand pilots. And the number of people who were at the average for all ten measurements? Zero. Not a single one.
“Average” proved to be a statistical construct, not a thing that actually exists as a person.
https://99percentinvisible.org/episode/on-average/
3/
Beyond the Use-and-then-Forget (UatF) Bound: Fixed Point Algorithms for Statistical Max-Min Power Control
Renato Luis Garrido Cavalcante, Noor Ul Ain, Lorenzo Miretti, Slawomir Stanczak
https://arxiv.org/abs/2510.11582
N-output Mechanism: Estimating Statistical Information from Numerical Data under Local Differential Privacy
Incheol Baek, Yon Dohn Chung
https://arxiv.org/abs/2510.11116 https:/…
Statistical Benchmarking of Optimization Methods for Variational Quantum Eigensolver under Quantum Noise
Silvie Ill\'esov\'a, Tom\'a\v{s} Bezd\v{e}k, Vojt\v{e}ch Nov\'ak, Bruno Senjean, Martin Beseda
https://arxiv.org/abs/2510.08727
TS-Agent: A Time Series Reasoning Agent with Iterative Statistical Insight Gathering
Penghang Liu, Elizabeth Fons, Svitlana Vyetrenko, Daniel Borrajo, Vamsi Potluru, Manuela Veloso
https://arxiv.org/abs/2510.07432
(Anti)Gravitron: A Statistical Physics Perspective on Multidimensional Metrics of Polarizing Inequality
Rolando Gonzales Martinez
https://arxiv.org/abs/2510.09436 https://
statistical collage
iterative pastiche
recursive potpourri
NFL stats and records, Week 18: Browns rookie class, Myles Garrett make history https://www.nfl.com/news/nfl-stats-and-records-week-18-browns-rookie-class-myles-garrett-make-history
Replaced article(s) found for cond-mat.stat-mech. https://arxiv.org/list/cond-mat.stat-mech/new
[1/1]:
- A framework for the use of generative modelling in non-equilibrium statistical mechanics
Karl J Friston, Maxwell J D Ramstead, Dalton A R Sakthivadivel
RE: https://mastodon.social/@nixCraft/115554484108496189
I still cannot comprehend how anyone could honestly consider a statistical model created from training data to be “intelligent”. Don't you remember the times when people knowingly smiled at anyo…
There is enough data to start publishing reports of my statistical analysis of the Italian Volleyball Serie A1 championship.
https://davideaversa.it/experiment/volley/seriea1w2025.html
After reading a term paper that demonstrated nothing more than the "author's" brainless use of a brainless statistical model to brainlessly vomit brainless prose, I'm deeply grateful for the flawed result of human thinking that turned up second in the grading pile. It's not amazing but it's really not bad and, more importantly, it shows the student learned something. If nothing else, LLMs have given me a new appreciation for the imperfect but honest work we produce …
On Estimation of Angles of Arrival in Monostatic ISAC Without Instantaneous Transmit CSI
Ataher Sams, Simone Di Bari, Besma Smida, Natasha Devroye, Daniela Tuninetti, Giorgio Taricco
https://arxiv.org/abs/2510.08793
Hivemind:
I am looking for suitable reading on data for a second-year undergraduate module called "Liberal Arts and the Public Sphere". Any recommendations for monographs or essays on critical data literacy or the importance of data to the political economy are gratefully received. The students do not necessarily have advanced numeracy or statistical skills, so the reading must be fairly accessible.
#HE
Out now in PNAS: Statistical errors undermine claims about the evolution of #polysynthetic #languages by Alex Koplenig and me: #linguistics 🧶 coming up...
@… The important detail to keep in mind, in my opinion, is that it’s a large statistical model.
Answers you get aren’t “known” but rather “likely” based on the text trained upon.
That’s a really important nuance for anything fact based.
Statistical properties of Markov shifts (part I)
Yeor Hafouta
https://arxiv.org/abs/2510.07757 https://arxiv.org/pdf/2510.07757
Modelling Territorial Dynamics through Statistical Mechanics: An Application to Resident Foreign Population
Pierpaolo Massoli
https://arxiv.org/abs/2510.10784 https://
STaTS: Structure-Aware Temporal Sequence Summarization via Statistical Window Merging
Disharee Bhowmick, Ranjith Ramanathan, Sathyanarayanan N. Aakur
https://arxiv.org/abs/2510.09593
Universal scale-free representations in human visual cortex https://journals.plos.org/ploscompbiol/article?id=10.1371/journal.pcbi.1013714 "revealing a universal high-dimensional spectrum of visual information that emerges despite individual differenc…
Computational and statistical lower bounds for low-rank estimation under general inhomogeneous noise
Debsurya De, Dmitriy Kunisky
https://arxiv.org/abs/2510.08541 https://
Statistical Shape Modelling of the Nasosinusal Anatomy
Michele Bertolini (POLIMI), Silvia Tonghini (POLIMI), Marco Rossoni (POLIMI), Marina Carulli (POLIMI), Susanne Weise (TU Dresden), Christian Jan Baldus (POLIMI), Giorgio Colombo (POLIMI), Monica Bordegoni (POLIMI)
https://arxiv.org/abs/2510.09713…
hear me out, if you’re a government and want your country to do more science wouldn’t it be better to hire more scientists instead of hiring more statistical text randomizers
StyleDecipher: Robust and Explainable Detection of LLM-Generated Texts with Stylistic Analysis
Siyuan Li, Aodu Wulianghai, Xi Lin, Guangyan Li, Xiang Chen, Jun Wu, Jianhua Li
https://arxiv.org/abs/2510.12608
The Mechanical Yes-Man: Emancipatory AI Pedagogy in Higher Education
Linda Rocco
https://arxiv.org/abs/2510.10176 https://arxiv.org/pdf/2510.10176
YSO Variability in the W51 Star-Forming Region
Mi-Ryang Kim, Jeong-Eun Lee, Contreras Pe\~na Carlos, Gregory Herczeg, Doug Johnstone, Miju Kang
https://arxiv.org/abs/2510.12212 …
On The Roots of Independence Polynomial: Quantifying The Gap
Om Prakash, Vikram Sharma
https://arxiv.org/abs/2510.09197 https://arxiv.org/pdf/2510.09197
Statistical Analysis of Target Parameter Estimation Using Passive Radar
Mats Viberg, Daniele Gerosa, Tomas McKelvey, Thomas Eriksson
https://arxiv.org/abs/2510.07948 https://
GrifFinNet: A Graph-Relation Integrated Transformer for Financial Predictions
Chenlanhui Dai, Wenyan Wang, Yusi Fan, Yueying Wang, Lan Huang, Kewei Li, Fengfeng Zhou
https://arxiv.org/abs/2510.10387
NFL stats and records, Week 13: Bills QB Josh Allen continues to break records https://www.nfl.com/news/nfl-stats-and-records-week-13-bills-qb-josh-allen-continues-to-break-records
AQORA: A Learned Adaptive Query Optimizer for Spark SQL
Jiahao He, Yutao Cui, Cuiping Li, Jikang Jiang, Yuheng Hou, Hong Chen
https://arxiv.org/abs/2510.10580 https://
User interface pretending to be human: fraud.
Statistical sentence generation described as “intelligence”: fraud.
Telling people, often children, to commit dangerous or criminal acts: all sorts of crimes.
Scientific papers generated, non-existing cases quoted at court, homework faked, artists ripped-off: fraud and copyright infringement.
Training based on unlicensed works: copyright infringement.
Data centers with tax incentives and special energy pricing: theft.
Promises to investors of AGI: fraud.
Government bailouts with taxpayer money: theft and fraud.
—
Media and politicians: This is innovation, don’t get left behind.
Cowboys defense much improved since bye week thanks to $21 million group https://cowboyswire.usatoday.com/story/sports/nfl/cowboys/2025/11/27/the-cowboys-defense-l…
Finally, what Xia & Lindell call a "separation problem" is, in our view, a feature of our approach and not a bug.
If, e.g., all languages in a family are polysynthetic (or none are), that’s not a statistical artefact – it’s the signal. The outcome is well associated with genealogy, showing that family membership captures someth genuinely informative about the process. When the model finds that family explains a large share of the variance, that's not a failure–it's evidence that phylogenetic structure dominates the pattern.
So while Xia & Lindell insist that "autocorrelation due to relationships and distance cannot be captured in family or regional-level analyses", we see that as an empirical question – and we treated it as one.
The real test is whether a mixed model that explicitly represents phylogeny and geography performs worse than their alternative, where the entire shared history of languages and environments is effectively collapsed into a single dimension (an eigenvector).
In other words: we model relationships – Xia & Lindell summarise them into one number per language.
Empowering LLM Agents with Geospatial Awareness: Toward Grounded Reasoning for Wildfire Response
Yiheng Chen, Lingyao Li, Zihui Ma, Qikai Hu, Yilun Zhu, Min Deng, Runlong Yu
https://arxiv.org/abs/2510.12061
High-Probability Bounds For Heterogeneous Local Differential Privacy
Maryam Aliakbarpour, Alireza Fallah, Swaha Roy, Ria Stevens
https://arxiv.org/abs/2510.11895 https://…
Crosslisted article(s) found for cond-mat.stat-mech. https://arxiv.org/list/cond-mat.stat-mech/new
[1/1]:
- Error thresholds of toric codes with transversal logical gates
Yichen Xu, Yiqing Zhou, James P. Sethna, Eun-Ah Kim
How to Get Actual Privacy and Utility from Privacy Models: the k-Anonymity and Differential Privacy Families
Josep Domingo-Ferrer, David S\'anchez
https://arxiv.org/abs/2510.11299
Experimental verification of multi-copy activation of genuine multipartite entanglement
Robert St\'arek, Tim Gollerthan, Olga Leskovjanov\'a, Michael Meth, Peter Tirler, Nicolai Friis, Martin Ringbauer, Ladislav Mi\v{s}ta Jr
https://arxiv.org/abs/2510.12457
NFL stats and records, Week 17: Patriots QB Drake Maye makes case for MVP https://www.nfl.com/news/nfl-stats-and-records-week-17-patriots-qb-drake-maye-makes-case-for-mvp-award
Remarkable that there's apparently no step between studies and official US government health advice.
It reminds me of the, mentally overwhelming, pattern in health magazines that suggest changes to diet every month often on the basis of a single university paper's statistical findings.
The 2025 Chiefs May Be the Most Complete Team in the NFL https://insidethestar.com/the-2025-chiefs-may-be-the-most-complete-team-in-the-nfl
BeSTAD: Behavior-Aware Spatio-Temporal Anomaly Detection for Human Mobility Data
Junyi Xie, Jina Kim, Yao-Yi Chiang, Lingyi Zhao, Khurram Shafique
https://arxiv.org/abs/2510.12076
Spatio-Temporal Evolution of the March 2022 ICME Revealed by Multi-Point Observations of Forbush Decreases
Gaku Kinoshita, Beatriz Sanchez-Cano, Yoshizumi Miyoshi, Laura Rodoriguez-Garcia, Emilia Kilpua, Benoit Lavraud, Mathias Rojo, Marco Pinto, Yuki Harada, Go Murakami, Yoshifumi Saito, Shoichiro Yokota, Daniel Heyner, David Fischer, Nicolas Andre, Kazuo Yoshioka
Unravelling inter-channel quantum interference in below-threshold nonsequential double ionization with statistical measures
S. Hashim, C. Figueira de Morisson Faria
https://arxiv.org/abs/2510.16135
Rate optimal learning of equilibria from data
Till Freihaut, Luca Viano, Emanuele Nevali, Volkan Cevher, Matthieu Geist, Giorgia Ramponi
https://arxiv.org/abs/2510.09325 https:/…
Dendrograms of Mixing Measures for Softmax-Gated Gaussian Mixture of Experts: Consistency without Model Sweeps
Do Tien Hai, Trung Nguyen Mai, TrungTin Nguyen, Nhat Ho, Binh T. Nguyen, Christopher Drovandi
https://arxiv.org/abs/2510.12744
Targeted Pooled Latent-Space Steganalysis Applied to Generative Steganography, with a Fix
Etienne Levecque (LIST3N), Aur\'elien Noirault (CRIStAL), Tom\'a\v{s} Pevn\'y (CTU), Jan Butora (CRIStAL), Patrick Bas (CRIStAL), R\'emi Cogranne (LIST3N)
https://arxiv.org/abs/2510.12414
Replaced article(s) found for cond-mat.stat-mech. https://arxiv.org/list/cond-mat.stat-mech/new
[1/1]:
- Boundary layers, transport and universal distribution in boundary driven active systems
Pritha Dolai, Arghya Das
NFL stats and records, Week 8: Bills' Josh Allen continues QB scoring trend; Myles Garrett delivers five-sack performance in Browns' loss https://www.nfl.com/news/nfl-stats-and-records-week-8-bills-josh-allen-con…
A Structural Theory of Quantum Metastability: Markov Properties and Area Laws
Thiago Bergamaschi, Chi-Fang Chen, Umesh Vazirani
https://arxiv.org/abs/2510.08538 https://
On goodness-of-fit testing for volatility in McKean-Vlasov models
Akram Heidari, Mark Podolskij
https://arxiv.org/abs/2510.12607 https://arxiv.org/pdf/2510…
Crosslisted article(s) found for cs.AI. https://arxiv.org/list/cs.AI/new
[17/17]:
- Attention Factors for Statistical Arbitrage
Elliot L. Epstein, Rose Wang, Jaewon Choi, Markus Pelger
A Deep Multi-Task Learning Approach to Impulsive Noise Parameter Estimation
Abdullahi Mohammad, Bdah Eya, Bassant Selim
https://arxiv.org/abs/2510.12179 https://
NFL stats and records, Week 12: RB Jahmyr Gibbs closes in on Lions legend https://www.nfl.com/news/nfl-stats-and-records-week-12-rb-jahmyr-gibbs-closes-in-on-lions-legend
Bridging the Physics-Data Gap with FNO-Guided Conditional Flow Matching: Designing Inductive Bias through Hierarchical Physical Constraints
Tsuyoshi Okita
https://arxiv.org/abs/2510.08295
Crosslisted article(s) found for cond-mat.stat-mech. https://arxiv.org/list/cond-mat.stat-mech/new
[1/1]:
- Combined Representation and Generation with Diffusive State Predictive Information Bottleneck
Richard John, Yunrui Qiu, Lukas Herron, Pratyush Tiwary
Dimension-Free Minimax Rates for Learning Pairwise Interactions in Attention-Style Models
Shai Zucker, Xiong Wang, Fei Lu, Inbar Seroussi
https://arxiv.org/abs/2510.11789 https:…
Monitoring 3D Lattice Structures in Additive Manufacturing Using Topological Data Analysis
Yulin An, Xueqi Zhao, Enrique del Castillo
https://arxiv.org/abs/2510.11740 https://…
Toward Mechanistic Explanation of Deductive Reasoning in Language Models
Davide Maltoni, Matteo Ferrara
https://arxiv.org/abs/2510.09340 https://arxiv.org/…
Crosslisted article(s) found for cs.LG. https://arxiv.org/list/cs.LG/new
[5/5]:
- Computational and statistical lower bounds for low-rank estimation under general inhomogeneous noise
Debsurya De, Dmitriy Kunisky
Disentangling Neurodegeneration with Brain Age Gap Prediction Models: A Graph Signal Processing Perspective
Saurabh Sihag, Gonzalo Mateos, Alejandro Ribeiro
https://arxiv.org/abs/2510.12763
Crosslisted article(s) found for cond-mat.stat-mech. https://arxiv.org/list/cond-mat.stat-mech/new
[1/1]:
- Generalised fractional Rabi problem
Alexander Lopez, S\'ebastien Fumeron, Malte Henkel, Trifce Sandev, Esther D. Guti\'errez
NFL stats and records, Week 16: Jaguars QB Trevor Lawrence's recent stretch on par with past MVPs https://www.nfl.com/news/nfl-stats-and-records-week-16-jaguars-qb-trevor-lawrence-s-recent-stretch-on-par-with-past-mvps
A unified Bayesian framework for adversarial robustness
Pablo G. Arce, Roi Naveiro, David R\'ios Insua
https://arxiv.org/abs/2510.09288 https://arxiv.o…
PAC Reasoning: Controlling the Performance Loss for Efficient Reasoning
Hao Zeng, Jianguo Huang, Bingyi Jing, Hongxin Wei, Bo An
https://arxiv.org/abs/2510.09133 https://…
Cowboys' Dak Prescott leads NFL in major stat entering final month of season https://www.si.com/nfl/cowboys/onsi/news/dallas-cowboys-dak-prescott-leads-nfl-major-stat-entering-final-month-of-season
Replaced article(s) found for cond-mat.stat-mech. https://arxiv.org/list/cond-mat.stat-mech/new
[1/1]:
- Universal finite-size scaling in high-dimensional critical phenomena
Yucheng Liu, Jiwoon Park, Gordon Slade
Distribution-Free Prediction Sets for Regression under Target Shift
Menghan Yi, Yanlin Tang, Huixia Judy Wang
https://arxiv.org/abs/2510.10985 https://arxi…
NFL stats and records, Week 11: Bills QB Josh Allen continues setting records https://www.nfl.com/news/nfl-stats-and-records-week-11-bills-qb-josh-allen-continues-setting-records
Robust Sampling for Active Statistical Inference
Puheng Li, Tijana Zrnic, Emmanuel Cand\`es
https://arxiv.org/abs/2511.08991 https://arxiv.org/pdf/2511.089…
Spatially-informed transformers: Injecting geostatistical covariance biases into self-attention for spatio-temporal forecasting
Yuri Calleo
https://arxiv.org/abs/2512.17696 https://arxiv.org/pdf/2512.17696 https://arxiv.org/html/2512.17696
arXiv:2512.17696v1 Announce Type: new
Abstract: The modeling of high-dimensional spatio-temporal processes presents a fundamental dichotomy between the probabilistic rigor of classical geostatistics and the flexible, high-capacity representations of deep learning. While Gaussian processes offer theoretical consistency and exact uncertainty quantification, their prohibitive computational scaling renders them impractical for massive sensor networks. Conversely, modern transformer architectures excel at sequence modeling but inherently lack a geometric inductive bias, treating spatial sensors as permutation-invariant tokens without a native understanding of distance. In this work, we propose a spatially-informed transformer, a hybrid architecture that injects a geostatistical inductive bias directly into the self-attention mechanism via a learnable covariance kernel. By formally decomposing the attention structure into a stationary physical prior and a non-stationary data-driven residual, we impose a soft topological constraint that favors spatially proximal interactions while retaining the capacity to model complex dynamics. We demonstrate the phenomenon of ``Deep Variography'', where the network successfully recovers the true spatial decay parameters of the underlying process end-to-end via backpropagation. Extensive experiments on synthetic Gaussian random fields and real-world traffic benchmarks confirm that our method outperforms state-of-the-art graph neural networks. Furthermore, rigorous statistical validation confirms that the proposed method delivers not only superior predictive accuracy but also well-calibrated probabilistic forecasts, effectively bridging the gap between physics-aware modeling and data-driven learning.
toXiv_bot_toot
Replaced article(s) found for cond-mat.stat-mech. https://arxiv.org/list/cond-mat.stat-mech/new
[1/1]:
- Topological phases in discrete stochastic systems
Jaime Agudo-Canalejo, Evelyn Tang
Crosslisted article(s) found for cond-mat.stat-mech. https://arxiv.org/list/cond-mat.stat-mech/new
[1/1]:
- Emergent spacetime supersymmetry at 2D fractionalized quantum criticality
Zhengzhi Wu, Zhou-Quan Wan, Shao-Kai Jian, Hong Yao
NFL stats and records, Week 15: Bills' Josh Allen joins elite company with sixth season of 35-plus offensive TDs https://www.nfl.com/news/nfl-stats-and-records-week-15-bills-josh-allen-joins-elite-company-wi…
[2025-10-15 Wed (UTC), 7 new articles found for cond-mat.stat-mech Statistical Mechanics]
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[2025-10-14 Tue (UTC), 7 new articles found for cond-mat.stat-mech Statistical Mechanics]
toXiv_bot_toot
[2025-10-13 Mon (UTC), 6 new articles found for cond-mat.stat-mech Statistical Mechanics]
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