Tootfinder

The U.S. patent for mp3 audio was granted on November 26 in 1996. This piece is kinda weird about it in spots, but it gives a decent history about how it laid the foundations for peer-to-peer music sharing, etc.

The U.S. patent for MP3 audio was granted on this day in 1996 — laid the foundations for peer-to-peer music sharing, iTunes, and today's streaming services
The Fraunhofer Institut had been working on its lossy audio compression tech for phone line transmission since 1977.

#Drumpf Admin Persecutions Pledged Against Recipients Of #GeorgeSoros Foundation Grants

Trump’s Targeting of Soros Foundations Sparks Fear and Defiance on Left
Facing a nascent administration investigation, Alex Soros privately pledged that the Open Society Foundations would back down only “over my dead body.”

Cursor CEO Michael Truell warns that "vibe coding" advanced projects may create "shaky foundations" and eventually "things start to kind of crumble" (Marco Quiroz-Gutierrez/Fortune)
https://fortune.com/2025/12/25/cursor-

Cursor CEO warns vibe coding builds ‘shaky foundations’ and eventually ‘things start to crumble’
“Vibe coding refers to a method of coding with AI where you kind of close your eyes and you don't look at the code at all and you just ask the AI to go build the thing for you.”

I play a #solitaire #cardGame called Yukon. The rules and a typical start point are attached.
The fewest moves I’ve taken to complete 1 game is 76. I’m guessing the fewest possible moves would be 52. A perfect deal. My question is, how do I calculate how many different deals would turn out perfect…

❝Healthy digital spaces need the same foundations as physical ones (roads, rules, records, etc) so we can build the flourishing fun bits on top. If the web’s first generation gave us villages, and the second gave us gross, unliveable megacities, the next one should give us great neighbourhoods — small, knowable, human-scaled spaces where we can actually live together online.❞

(please don't) add me to the group
We talk a lot about how broken the internet is for all of us as individuals. Doomscrolling, algorithmic feeds, overall exhaustion at The Horrors. But this...

"History is important, monuments matter. And the home of the U.S. president isn’t just a building to be optimized for function. It is a symbol of power, legacy and national identity. Respect for the nation and all that it has built still matters. These aren’t trifles or overreactions. They are the foundations of the republic we built. That’s worth defending."
**'Astonishing': Wall Street Journal editorial writer bashes Trump's ballroom 'fiasco' **- Raw Story
https://www.rawstory.com/trump-ballroom-2674234424/

[OT] Dilbert? Salesforce steps back from AI: Executives reveal overconfidence in LLMs, pivot to deterministic automation https://opentools.ai/news/salesforce-steps-back-from-ai-executives-reveal-overconfidence-in-ll…

"...roughly one in 50 Americans gathered under one slogan (“No Kings!”) to protest against the president’s authoritarian methods and monarchical aspirations. And while Trump’s allies may feign ignorance with regard to claims that he’s seeking arbitrary and unaccountable power…it takes no time at all to write out a litany of offenses that threaten the republican foundations of American democracy."

Opinion | There’s a Reason Trump Fears No Kings
Who’s the patriot now?

RE: https://mapstodon.space/@mapasmilhaud/115600761677151116
This is a curious exercise in speculative (although based on solid foundations) demography.

CFP: Pietism and Rule: VII. International Congress for Pietism Research, Halle (Saale), 5–8 September 2027
https://ift.tt/v18IiBm
Mining the Logs: Sources on Blue Humor URL …
via Input 4 RELCFP

Three women become choked up as they deliver news in a video posted to social media.
“We did it, everybody,”
says Leslie Manookian,
the woman in the middle.
She is a driving force in a campaign that has chipped away at the foundations of modern public health in Idaho.
Her group had just gotten lawmakers to pass what she called the first true “medical freedom” bill in the nation.
With Manookian in the video are
two of her allies, the leaders of H…

Idaho Banned Vaccine Mandates. Activists Want to Make It a Model for the Country.
The Idaho Medical Freedom Act makes it illegal to require anyone to take a vaccine or receive “medical intervention.” Leslie Manookian, the activist behind the law, hopes to make it a “societal norm” for the rest of the country.

This article just cited the Finnish Michaux study. There are others. The whole "industrial renewable energy capture systems" wager has inadequate foundations, which is why the only way is to use much less energy. Hence #degrowth See my article and linked report for the UK case.
Is There Enough Metal to Replace Oil? - CounterPunch.org

Is There Enough Metal to Replace Oil?
A key issue for the accomplishment of renewables is power storage because of the impact of wind and solar intermittency, both of which are highly intermittent. Most studies assume gas will be the buffer for intermittency. Other than using fossil fuel such as gas as a buffer, an adequate power storage system to handle intermittency will require 30 times more material than what electric vehicles require with current plans, meaning the scope is much larger than the current paradigm allows.

"""
[…] Paradoxically, the more a population grew, the more precious it became, as it offered a supply of cheap labour, and by lowering costs allowed a greater expansion of production and trade. In this infinitely open labour market, the ‘fundamental price’, which for Turgot meant a subsistence level for workers, and the price determined by supply and demand ended up as the same thing. A country was all the more commercially competitive for having at its disposal the virtual wealth that a large population represented.
Confinement was therefore a clumsy error, and an economic one at that: there was no sense in trying to suppress poverty by taking it out of the economic circuit and providing for a poor population by charitable means. To do that was merely to hide poverty, and suppress an important section of the population, which was always a given wealth. Rather than helping the poor escape their provisionally indigent situation, charity condemned them to it, and dangerously so, by putting a brake on the labour market in a period of crisis. What was required was to palliate the high cost of products with cheaper labour, and to make up for their scarcity by a new industrial and agricultural effort. The only reasonable remedy was to reinsert the population in the circuit of production, being sure to place labour in areas where manpower was most scarce. The use of paupers, vagabonds, exiles and émigrés of any description was one of the secrets of wealth in the competition between nations. […]
Confinement was to be criticised because of the effects it had on the labour market, but also because like all other traditional forms of charity, it constituted a dangerous form of finance. As had been the case in the Middle Ages, the classical era had constantly attempted to look after the needs of the poor by a system of foundations. This implied that a section of the land capital and revenues were out of circulation. In a definitive manner too, as the concern was to avoid the commercialisation of assistance to the poor, so judicial measures had been taken to ensure that this wealth never went back into circulation. But as time passed, their usefulness diminished: the economic situation changed, and so did the nature of poverty.
«Society does not always have the same needs. The nature and distribution of property, the divisions between the different orders of the people, opinions, customs, the occupations of the majority of the population, the climate itself, diseases and all the other accidents of human life are in constant change. New needs come into being, and old ones disappear.» [Turgot, Encyclopédie]
The definitive character of a foundation was in contradiction with the variable and changing nature of the accidental needs to which it was designed to respond. The wealth that it immobilised was never put back into circulation, but more wealth was to be created as new needs appeared. The result was that the proportion of funds and revenues removed from circulation constantly increased, while that of production fell in consequence. The only possible result was increased poverty, and a need for more foundations. The process could continue indefinitely, and the fear was that one day ‘the ever increasing number of foundations might absorb all private funds and all private property’. When closely examined, classical forms of assistance were a cause of poverty, bringing a progressive immobilisation that was like the slow death of productive wealth:
«If all the men who have ever lived had been given a tomb, sooner or later some of those sterile monuments would have been dug up in order to find land to cultivate, and it would have become necessary to stir the ashes of the dead in order to feed the living.» [Turgot, Lettre Š Trudaine sur le Limousin]
"""
(Michel Foucault, History of Madness)

Jack Bech, Aidan O'Connell using NFL's My Cause My Cleats to pay homage to their brothers https://www.raiders.com/news/jack-bech-aidan-o-connell-nfl-my-cause-my-cleats-pay-homage-to-their-brothers

Foundations of LLM Knowledge Materialization: Termination, Reproducibility, Robustness
Luca Giordano, Simon Razniewski
https://arxiv.org/abs/2510.06780 https://

Foundations of LLM Knowledge Materialization: Termination, Reproducibility, Robustness
Large Language Models (LLMs) encode substantial factual knowledge, yet measuring and systematizing this knowledge remains challenging. Converting it into structured format, for example through recursive extraction approaches such as the GPTKB methodology (Hu et al., 2025b), is still underexplored. Key open questions include whether such extraction can terminate, whether its outputs are reproducible, and how robust they are to variations. We systematically study LLM knowledge materialization usi…

🔍 Full transparency in every layer: Verifiable SBOMs, SLSA Build Level 3 provenance, public CVE data - no hidden or downgraded vulnerabilities
🏗️ Built on trusted foundations: #Alpine and #Debian as proven open-source bases - minimal migration effort, maximum compatibility with existing wo…

On the Cryptographic Foundations of Interactive Quantum Advantage
Kabir Tomer (University of Illinois Urbana-Champaign), Mark Zhandry (Stanford University)
https://arxiv.org/abs/2510.05082

On the Cryptographic Foundations of Interactive Quantum Advantage
In this work, we study the hardness required to achieve proofs of quantumness (PoQ), which in turn capture (potentially interactive) quantum advantage. A ``trivial'' PoQ is to simply assume an average-case hard problem for classical computers that is easy for quantum computers. However, there is much interest in ``non-trivial'' PoQ that actually rely on quantum hardness assumptions, as these are often a starting point for more sophisticated protocols such as classical verification of quantum co…

CFP: Pietism and Rule: VII. International Congress for Pietism Research, Halle (Saale), 5–8 September 2027
https://ift.tt/FA9MeZu
Mining the Logs: Sources on Blue Humor URL …
via Input 4 RELCFP

Toward Systems Foundations for Agentic Exploration
Jiakai Xu, Tianle Zhou, Eugene Wu, Kostis Kaffes
https://arxiv.org/abs/2510.05556 https://arxiv.org/pdf/…

Toward Systems Foundations for Agentic Exploration
Agentic exploration, letting LLM-powered agents branch, backtrack, and search across many execution paths, demands systems support well beyond today's pass-at-k resets. Our benchmark of six snapshot/restore mechanisms shows that generic tools such as CRIU or container commits are not fast enough even in isolated testbeds, and they crumble entirely in real deployments where agents share files, sockets, and cloud APIs with other agents and human users. In this talk, we pinpoint three open fundame…

Poisson Energy Formulation for Floorplanning: Variational Analysis and Mathematical Foundations
Wenxing Zhu, Hao Ai
https://arxiv.org/abs/2510.08126 https://

Poisson Energy Formulation for Floorplanning: Variational Analysis and Mathematical Foundations
Arranging many modules within a bounded domain without overlap, central to the Electronic Design Automation (EDA) of very large-scale integrated (VLSI) circuits, represents a broad class of discrete geometric optimization problems with physical constraints. This paper develops a variational and spectral framework for Poisson energy-based floorplanning and placement in physical design. We show that the Poisson energy, defined via a Neumann Poisson equation, is exactly the squared H^{-1} Sobolev …

Understanding Support for Cycling Infrastructure Through Moral Foundations Theory
https://www.sciencedirect.com/science/article/pii/S2950105925000397

Machine Learning and Control: Foundations, Advances, and Perspectives
Enrique Zuazua
https://arxiv.org/abs/2510.03303 https://arxiv.org/pdf/2510.03303

Machine Learning and Control: Foundations, Advances, and Perspectives
Control theory of dynamical systems offers a powerful framework for tackling challenges in deep neural networks and other machine learning architectures. We show that concepts such as simultaneous and ensemble controllability offer new insights into the classification and representation properties of deep neural networks while the control and optimization of static systems can be employed to better understand the performance of shallow networks. Inspired by the classical concept of turnpike, we…

🇺🇦 #NowPlaying on #BBC6Music's #6MusicsIndieForever
Kate Nash:
🎵 Foundations
#KateNash
https://septembergun.bandcamp.com/track/i-run-to-the-bpm-of-kate-nashs-foundations
https://open.spotify.com/track/3PY6DWrkuIt6LZgFesrIkJ

Learning-Based Hashing for ANN Search: Foundations and Early Advances
Sean Moran
https://arxiv.org/abs/2510.04127 https://arxiv.org/pdf/2510.04127

Learning-Based Hashing for ANN Search: Foundations and Early Advances
Approximate Nearest Neighbour (ANN) search is a fundamental problem in information retrieval, underpinning large-scale applications in computer vision, natural language processing, and cross-modal search. Hashing-based methods provide an efficient solution by mapping high-dimensional data into compact binary codes that enable fast similarity computations in Hamming space. Over the past two decades, a substantial body of work has explored learning to hash, where projection and quantisation funct…

Post-Quantum Cryptography and Quantum-Safe Security: A Comprehensive Survey
Gaurab Chhetri, Shriyank Somvanshi, Pavan Hebli, Shamyo Brotee, Subasish Das
https://arxiv.org/abs/2510.10436

Post-Quantum Cryptography and Quantum-Safe Security: A Comprehensive Survey
Post-quantum cryptography (PQC) is moving from evaluation to deployment as NIST finalizes standards for ML-KEM, ML-DSA, and SLH-DSA. This survey maps the space from foundations to practice. We first develop a taxonomy across lattice-, code-, hash-, multivariate-, isogeny-, and MPC-in-the-Head families, summarizing security assumptions, cryptanalysis, and standardization status. We then compare performance and communication costs using representative, implementation-grounded measurements, and re…

Ontological foundations for contrastive explanatory narration of robot plans
Alberto Olivares-Alarcos, Sergi Foix, J\'ulia Borr\`as, Gerard Canal, Guillem Aleny\`a
https://arxiv.org/abs/2509.22493 …

Ontological foundations for contrastive explanatory narration of robot plans
Mutual understanding of artificial agents' decisions is key to ensuring a trustworthy and successful human-robot interaction. Hence, robots are expected to make reasonable decisions and communicate them to humans when needed. In this article, the focus is on an approach to modeling and reasoning about the comparison of two competing plans, so that robots can later explain the divergent result. First, a novel ontological model is proposed to formalize and reason about the differences between com…

⏰ The new engine of voting: Out-party hostility outpaces in-party loyalty across established democracies
https://phys.org/news/2025-09-voting-party-hostility-outpaces-loyalty.html

The new engine of voting: Out-party hostility outpaces in-party loyalty across established democracies
A new study led by Professor Diego Garzia of the University of Lausanne, published in Public Opinion Quarterly, reveals a major shift in electoral motivation. In many Western democracies, voters are now more driven by opposition to their political adversaries than by support for their own side. This phenomenon marks a move away from ideological disagreement toward an emotionally charged dynamic rooted in rejection and hostility, an evolution that may ultimately weaken the very foundations of de…

Oriented Category Theory
David Gepner, Hadrian Heine
https://arxiv.org/abs/2510.10504 https://arxiv.org/pdf/2510.10504

Oriented Category Theory
We develop foundations for oriented category theory, an extension of $(\infty,\infty)$-category theory obtained by systematic usage of the Gray tensor product, in order to study lax phenomena in higher category theory. As categorical dimension increases, classical category-theoretic concepts generally prove too rigid or fully break down and must be replaced by oriented versions, which allow more flexible notions of naturality and coherence. Oriented category theory provides a framework to addre…

Jack Bech, Aidan O'Connell using NFL's My Cause My Cleats to pay homage to their brothers https://www.raiders.com/news/jack-bech-aidan-o-connell-nfl-my-cause-my-cleats-pay-homage-to-their-brothers

Dispersion relations: foundations
Bastian Kubis
https://arxiv.org/abs/2510.01962 https://arxiv.org/pdf/2510.01962…

Dispersion relations: foundations
We give a pedagogical introduction to the founding ideas of dispersion relations in particle physics. Starting from elementary mechanical systems, we show how the physical principle of causality is closely related to the mathematical property of analyticity, and how both are implemented in quantum mechanical scattering theory. We present a personal selection of elementary applications such as the relation between hadronic production amplitudes or form factors to scattering, and the extraction o…

Solid list:
https://www.scotthyoung.com/blog/2025/10/06/102-lessons-from-102-books/?ck_subscriber_id=389259318
Don't run through LLM, it's already a very concise list. Take time and look through it.

CFP: Pietism and Rule: VII. International Congress for Pietism Research, Halle (Saale), 5–8 September 2027 https://networks.h-net.org/group/announcements/20135822/cfp-pietism-and-rule-vii-international-congress-pietism-…

Chancellor of the Exchequer Reeves with not one but 2 imperial flags and the lectern slogan, "Strong Foundations | Secure Future", neither of which can be claimed in any sense, either as the present reality or as the result of whatever 'tough choices' she will trail.
The only tough choices that matter are to reduce material and energy usage coupled with a massive redistribution of wealth to secure a 'strong foundation' of security and equity, in terms of ecolog…

On the $v$-adic values of G-functions I
Georgios Papas
https://arxiv.org/abs/2510.11806 https://arxiv.org/pdf/2510.11806

On the $v$-adic values of G-functions I
This is the first in a series of papers aimed at studying families of G-functions associated to $1$-parameter families of abelian schemes. In particular, the construction of relations, in both the archimedean and non-archimedean settings, at values of specific interest to problems of unlikely intersections. In this first text in this series, we record what we expect to be the theoretical foundations of this series in a uniform way. After this, we study values corresponding to ``splittings'' i…

Young functions on varifolds. Part I. Functional analytic foundations
Hsin-Chuang Chou
https://arxiv.org/abs/2510.05639 https://arxiv.org/pdf/2510.05639

Young functions on varifolds. Part I. Functional analytic foundations
In this paper, we study Young functions, a measure-theoretic model for multiple-valued functions, and the convergence of pairs of measures and Young functions via their associated graph measures. This setting allows us to study the convergence of pairs of surfaces and functions thereon, and a compactness theorem is immediate. To develop notions of differentiability of Young functions in the upcoming papers, we also introduce and investigate several test function spaces.

SpatialLadder: Progressive Training for Spatial Reasoning in Vision-Language Models
Hongxing Li, Dingming Li, Zixuan Wang, Yuchen Yan, Hang Wu, Wenqi Zhang, Yongliang Shen, Weiming Lu, Jun Xiao, Yueting Zhuang
https://arxiv.org/abs/2510.08531

SpatialLadder: Progressive Training for Spatial Reasoning in Vision-Language Models
Spatial reasoning remains a fundamental challenge for Vision-Language Models (VLMs), with current approaches struggling to achieve robust performance despite recent advances. We identify that this limitation stems from a critical gap: existing methods attempt to learn spatial reasoning directly without establishing the hierarchical foundations of perception and understanding. To address this challenge, we present a comprehensive methodology for building spatial intelligence progressively. We in…

On the Foundations of Approximate Algebra: Axioms, Extensions, and Geometric Structures
Dang Vo Phuc
https://arxiv.org/abs/2509.25212 https://arxiv.org/pdf…

On the Foundations of Approximate Algebra: Axioms, Extensions, and Geometric Structures
Building on the recent works of Inan [4] and Almahareeq-Peters-Vergili [1], we develop a rigorous axiomatic foundation for approximate algebra via an algebra-compatible closure operator $Φ^{\!*}$ satisfying (C1)-(C4a) together with the balanced multiplicativity axiom (C4b) (and absorption required only for ideals). Our framework encompasses a theory of approximate modules with their isomorphism theorems, the construction of an approximate Zariski topology on the prime spectrum, and a compatibl…

Recovery of Integer Images from Limited DFT Measurements with Lattice Methods
Howard W Levinson, Isaac Viviano
https://arxiv.org/abs/2510.11949 https://arx…

Recovery of Integer Images from Limited DFT Measurements with Lattice Methods
Exact reconstruction of an image from measurements of its Discrete Fourier Transform (DFT) typically requires all DFT coefficients to be available. However, incorporating the prior assumption that the image contains only integer values enables unique recovery from a limited subset of DFT coefficients. This paper develops both theoretical and algorithmic foundations for this problem. We use algebraic properties of the DFT to define a reduction from two-dimensional recovery to several well-chosen…

Why Do We Need Warm-up? A Theoretical Perspective
Foivos Alimisis, Rustem Islamov, Aurelien Lucchi
https://arxiv.org/abs/2510.03164 https://arxiv.org/pdf/2…

Why Do We Need Warm-up? A Theoretical Perspective
Learning rate warm-up - increasing the learning rate at the beginning of training - has become a ubiquitous heuristic in modern deep learning, yet its theoretical foundations remain poorly understood. In this work, we provide a principled explanation for why warm-up improves training. We rely on a generalization of the $(L_0, L_1)$-smoothness condition, which bounds local curvature as a linear function of the loss sub-optimality and exhibits desirable closure properties. We demonstrate both the…

Crosslisted article(s) found for math.AP. https://arxiv.org/list/math.AP/new
[1/1]:
- Young functions on varifolds. Part I. Functional analytic foundations
Hsin-Chuang Chou

A new vision: Comparing electrical prostheses in the race to end blindness https://www.jfophth.com/a-new-vision-comparing-electrical-prostheses-in-the-race-to-end-blindness/

Learning Multi-Index Models with Hyper-Kernel Ridge Regression
Shuo Huang, Hippolyte Labarri\`ere, Ernesto De Vito, Tomaso Poggio, Lorenzo Rosasco
https://arxiv.org/abs/2510.02532

Learning Multi-Index Models with Hyper-Kernel Ridge Regression
Deep neural networks excel in high-dimensional problems, outperforming models such as kernel methods, which suffer from the curse of dimensionality. However, the theoretical foundations of this success remain poorly understood. We follow the idea that the compositional structure of the learning task is the key factor determining when deep networks outperform other approaches. Taking a step towards formalizing this idea, we consider a simple compositional model, namely the multi-index model (MIM…

Combinatorial Aspects of Elliptic Schubert Calculus
Cristian Lenart, Rui Xiong, Changlong Zhong
https://arxiv.org/abs/2510.04336 https://arxiv.org/pdf/2510…

Combinatorial Aspects of Elliptic Schubert Calculus
The main goal of this paper is to extend two fundamental combinatorial results in Schubert calculus on flag manifolds from equivariant cohomology and $K$-theory to equivariant elliptic cohomology. The foundations of elliptic Schubert calculus were laid in a few relatively recent papers by Rimányi, Weber, and Kumar. They include the recursive construction of elliptic Schubert classes via generalizations of the cohomology and $K$-theory push-pull operators and the study of the corresponding Dema…

The European Union general data protection regulation: what it is and what it means
Chris Jay Hoofnagle, Bart van der Sloot, Frederik Zuiderveen Borgesius
https://arxiv.org/abs/2510.02861

The European Union general data protection regulation: what it is and what it means
This paper introduces the strategic approach to regulating personal data and the normative foundations of the European Union's General Data Protection Regulation ('GDPR'). We explain the genesis of the GDPR, which is best understood as an extension and refinement of existing requirements imposed by the 1995 Data Protection Directive; describe the GDPR's approach and provisions; and make predictions about the GDPR's implications. We also highlight where the GDPR takes a different approach than U…

Replaced article(s) found for physics.gen-ph. https://arxiv.org/list/physics.gen-ph/new
[1/1]:
- Repairing the algebraic foundations of the Standard Model of particle physics
Douglas Newman
https://arxiv.org/abs/2308.12295 https://mastoxiv.page/@arXiv_physicsgenph_bot/110948452491257787
- Taking quantisation seriously: a farewell to waves
Geoff Beck
https://arxiv.org/abs/2503.14533 https://mastoxiv.page/@arXiv_physicsgenph_bot/114193600809326468
- Top Quark Bound States in Finite and Holomorphic Quantum Field Theories
E. J. Thompson
https://arxiv.org/abs/2507.16831 https://mastoxiv.page/@arXiv_physicsgenph_bot/114907176631157420
- Supersonic and Superluminal Energy and Speed of Information via Temporal Interference in a Disper...
John L. Spiesberger, Eugene Terray
https://arxiv.org/abs/2510.20060 https://mastoxiv.page/@arXiv_physicsgenph_bot/115428371326113671
toXiv_bot_toot

Provable Speech Attributes Conversion via Latent Independence
Jonathan Svirsky, Ofir Lindenbaum, Uri Shaham
https://arxiv.org/abs/2510.05191 https://arxiv.…

Provable Speech Attributes Conversion via Latent Independence
While signal conversion and disentangled representation learning have shown promise for manipulating data attributes across domains such as audio, image, and multimodal generation, existing approaches, especially for speech style conversion, are largely empirical and lack rigorous theoretical foundations to guarantee reliable and interpretable control. In this work, we propose a general framework for speech attribute conversion, accompanied by theoretical analysis and guarantees under reasonabl…

Replaced article(s) found for gr-qc. https://arxiv.org/list/gr-qc/new
[2/2]:
- Beyond holography: the entropic quantum gravity foundations of image processing
Ginestra Bianconi

Diffusion-Guided Renormalization of Neural Systems via Tensor Networks
Nathan X. Kodama
https://arxiv.org/abs/2510.06361 https://arxiv.org/pdf/2510.06361…

Diffusion-Guided Renormalization of Neural Systems via Tensor Networks
Far from equilibrium, neural systems self-organize across multiple scales. Exploiting multiscale self-organization in neuroscience and artificial intelligence requires a computational framework for modeling the effective non-equilibrium dynamics of stochastic neural trajectories. Non-equilibrium thermodynamics and representational geometry offer theoretical foundations, but we need scalable data-driven techniques for modeling collective properties of high-dimensional neural networks from partia…

Replaced article(s) found for math.SG. https://arxiv.org/list/math.SG/new
[1/1]:
- Reduction of Cosymplectic groupoids by cosymplectic moment maps
Daniel L\'opez Garcia, Nicolas Martinez Alba
https://arxiv.org/abs/2403.03178 https://mastoxiv.page/@arXiv_mathSG_bot/112047445404247851
- Algebraic Lagrangian cobordisms, flux and the Lagrangian Ceresa cycle
Alexia Corradini
https://arxiv.org/abs/2501.12850 https://mastoxiv.page/@arXiv_mathSG_bot/113876409190220093
- Systolic $S^1$-index and characterization of non-smooth Zoll convex bodies
Stefan Matijevi\'c
https://arxiv.org/abs/2501.13856 https://mastoxiv.page/@arXiv_mathSG_bot/113882071591631203
- Infinite-dimensional Lagrange-Dirac systems with boundary energy flow I: Foundations
Fran\c{c}ois Gay-Balmaz, \'Alvaro Rodr\'iguez Abella, Hiroaki Yoshimura
https://arxiv.org/abs/2501.17551 https://mastoxiv.page/@arXiv_mathSG_bot/113916045279374601
- The Simplicity of the Group of Weakly Hamiltonian Diffeomorphisms on Cosymplectic Manifolds
S. Tchuiaga, P. Bikorimana
https://arxiv.org/abs/2503.10224 https://mastoxiv.page/@arXiv_mathSG_bot/114159599811622365
- Regular semisimple Hessenberg varieties with cohomology rings generated in degree two
Mikiya Masuda, Takashi Sato
https://arxiv.org/abs/2301.03762 https://mastoxiv.page/@arXiv_mathAG_bot/109669428824274443
- Billiards and Hofer's Geometry
Mark Berezovik, Konstantin Kliakhandler, Yaron Ostrover, Leonid Polterovich
https://arxiv.org/abs/2507.04767 https://mastoxiv.page/@arXiv_mathDS_bot/114817105311885626
- Geometric, topological and dynamical properties of conformally symplectic systems, normally hyper...
Marian Gidea, Rafael de la Llave, Tere M-Seara
https://arxiv.org/abs/2508.14794 https://mastoxiv.page/@arXiv_mathDS_bot/115065890424433224
toXiv_bot_toot

The foundational value of quantum computing for classical fluids
Sauro Succi, Claudio Sanavio, Peter Love
https://arxiv.org/abs/2510.09178 https://arxiv.or…

The foundational value of quantum computing for classical fluids
Quantum algorithms for classical physics problems expose new patterns of quantum information flow as compared to the many-body Schrödinger equation. As a result, besides their potential practical applications, they also offer a valuable theoretical and computational framework to elucidate the foundations of quantum mechanics, particularly the validity of the many-body Schrödinger equation in the limit of large number of particles, on the order of the Avogadro number. This idea is illustrated …

Crosslisted article(s) found for math.AG. https://arxiv.org/list/math.AG/new
[1/1]:
- On the Foundations of Approximate Algebra: Axioms, Extensions, and Geometric Structures
Dang Vo Phuc

Replaced article(s) found for math.OC. https://arxiv.org/list/math.OC/new
[1/2]:
- Axiomatic and Probabilistic Foundations for the Hodge-Theoretic Shapley Value
Tongseok Lim

Post-Quantum Security of Block Cipher Constructions
Gorjan Alagic, Chen Bai, Christian Majenz, Kaiyan Shi
https://arxiv.org/abs/2510.08725 https://arxiv.or…

Post-Quantum Security of Block Cipher Constructions
Block ciphers are versatile cryptographic ingredients that are used in a wide range of applications ranging from secure Internet communications to disk encryption. While post-quantum security of public-key cryptography has received significant attention, the case of symmetric-key cryptography (and block ciphers in particular) remains a largely unexplored topic. In this work, we set the foundations for a theory of post-quantum security for block ciphers and associated constructions. Leveraging o…

"I Don't Think RAI Applies to My Model'' -- Engaging Non-champions with Sticky Stories for Responsible AI Work
Nadia Nahar, Chenyang Yang, Yanxin Chen, Wesley Hanwen Deng, Ken Holstein, Motahhare Eslami, Christian K\"astner
https://arxiv.org/abs/2509.22858

"I Don't Think RAI Applies to My Model'' -- Engaging Non-champions with Sticky Stories for Responsible AI Work
Responsible AI (RAI) tools -- checklists, templates, and governance processes -- often engage RAI champions, individuals intrinsically motivated to advocate ethical practices, but fail to reach non-champions, who frequently dismiss them as bureaucratic tasks. To explore this gap, we shadowed meetings and interviewed data scientists at an organization, finding that practitioners perceived RAI as irrelevant to their work. Building on these insights and theoretical foundations, we derived design p…

Seventeen years after the Large Hadron Collider switched on,
particle physicists are realizing that they can use the collider to explore how information flows through quantum systems
— a question at the foundations of quantum computing.
The two possible spins of the quarks correspond to the 0 and 1 states of a qubit,
a unit of quantum information.
“It is treating the process of colliding things together and forming new particles as a quantum processor,”
s…

Particle Physicists Detect ‘Magic’ at the Large Hadron Collider | Quanta Magazine
The supercollider is now being used to explore quantum phenomena, including a “magic” form of quantum entanglement.

Relative algebroids and symmetries of Pfaffian fibrations
Wilmer Smilde
https://arxiv.org/abs/2510.01517 https://arxiv.org/pdf/2510.01517

Relative algebroids and symmetries of Pfaffian fibrations
Relative algebroids and Pfaffian fibrations are two frameworks recently developed to study geometric structures and PDEs with symmetries, but have structurally different foundations. In this article, we clarify the relation between the two. We show that every Pfaffian fibration canonically induces a relative algebroid, and that their prolongations and local solutions coincide. Moreover, we introduce two notions of symmetries of Pfaffian fibrations, namely internal symmetries and Pfaffian symmet…

Superfluidity in Fermi systems within the framework of Density Functional Theory
Piotr Magierski
https://arxiv.org/abs/2510.07410 https://arxiv.org/pdf/251…

Superfluidity in Fermi systems within the framework of Density Functional Theory
This review is based on lectures given by the author at the Enrico Fermi Summer School in Varenna. It presents the basics of Density Functional Theory (DFT) for Fermi superfluids, with particular emphasis on nuclear systems. Special attention is given to the foundations of both DFT and time-dependent DFT (TDDFT). The review explores the advantages and challenges involved in the practical application of TDDFT to superfluid systems, as well as the typical approximations employed. Various applicat…

Replaced article(s) found for cs.DL. https://arxiv.org/list/cs.DL/new
[1/1]:
- Legal Knowledge Graph Foundations, Part I: URI-Addressable Abstract Works (LRMoo F1 to schema.org)
Hudson de Martim

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🎵 Foundations
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Invariant Price of Anarchy: a Metric for Welfarist Traffic Control
Ilia Shilov, Mingjia He, Heinrich H. Nax, Emilio Frazzoli, Gioele Zardini, Saverio Bolognani
https://arxiv.org/abs/2512.05843 https://arxiv.org/pdf/2512.05843 https://arxiv.org/html/2512.05843
arXiv:2512.05843v1 Announce Type: new
Abstract: The Price of Anarchy (PoA) is a standard metric for quantifying inefficiency in socio-technical systems, widely used to guide policies like traffic tolling. Conventional PoA analysis relies on exact numerical costs. However, in many settings, costs represent agents' preferences and may be defined only up to possibly arbitrary scaling and shifting, representing informational and modeling ambiguities. We observe that while such transformations preserve equilibrium and optimal outcomes, they change the PoA value. To resolve this issue, we rely on results from Social Choice Theory and define the Invariant PoA. By connecting admissible transformations to degrees of comparability of agents' costs, we derive the specific social welfare functions which ensure that efficiency evaluations do not depend on arbitrary rescalings or translations of individual costs. Case studies on a toy example and the Zurich network demonstrate that identical tolling strategies can lead to substantially different efficiency estimates depending on the assumed comparability. Our framework thus demonstrates that explicit axiomatic foundations are necessary in order to define efficiency metrics and to appropriately guide policy in large-scale infrastructure design robustly and effectively.
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Formal Analysis of Metastable Failures in Software Systems
Rebecca Isaacs, Peter Alvaro, Rupak Majumdar, Kiran-Kumar Muniswamy-Reddy, Mahmoud Salamati, Sadegh Soudjani
https://arxiv.org/abs/2510.03551 …

Formal Analysis of Metastable Failures in Software Systems
Many large-scale software systems demonstrate metastable failures. In this class of failures, a stressor such as a temporary spike in workload causes the system performance to drop and, subsequently, the system performance continues to remain low even when the stressor is removed. These failures have been reported by many large corporations and considered to be a rare but catastrophic source of availability outages in cloud systems. In this paper, we provide the mathematical foundations of me…

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A Lie Theoretic Framework for Controlling Open Quantum Systems
Corey O'Meara
https://arxiv.org/abs/2510.04719 https://arxiv.org/pdf/2510.04719

A Lie Theoretic Framework for Controlling Open Quantum Systems
This thesis focuses on the Lie-theoretic foundations of controlled open quantum systems. We describe Markovian open quantum system evolutions by Lie semigroups, whose corresponding infinitesimal generators lie in a special type of convex cone - a Lie wedge. The Lie wedge associated to a given control system therefore consists of all generators of the quantum dynamical semigroup that are physically realisable as a result of the interplay between the coherent and incoherent processes the quantum …

Closed exact categories of modules over generalized adic rings. Part 1: The bounded case
Francesco Baldassarri
https://arxiv.org/abs/2510.00848 https://arx…

Closed exact categories of modules over generalized adic rings. Part 1: The bounded case
We develop general foundations of topological algebra over a linearly topologized ring k in a format applicable to both formal schemes and analytic adic spaces. We are especially interested in determining quasi-abelian categories of complete linearly topologized k-modules, which are also closed symmetric monoidal for a suitable choice of tensor product and internal Hom, and have enough projectives or injectives. For k a suitably generalized adic ring, we describe here a few examples of such cat…

Naturalistic intuitionism for physics
Bruno Bentzen, Flavio Del Santo, Nicolas Gisin
https://arxiv.org/abs/2509.22528 https://arxiv.org/pdf/2509.22528

Naturalistic intuitionism for physics
Recently, a novel intuitionistic reconstruction of the foundations of physics has been primarily developed by Nicolas Gisin and Flavio Del Santo drawing on naturalism. Our goal in this paper is to examine and develop the philosophical background of their naturalistic intuitionism for physics in contrast with Brouwer's defense of his intuitionistic mathematics. To be exact, we propose a systematic rearticulation of Brouwer's so-called two acts of intuitionism to serve as the self-contained philo…

CFP: Pietism and Rule: VII. International Congress for Pietism Research, Halle an der Saale (15.03.2026)
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Non-bilinear Dirichlet Functionals: Markovianity, locality, invariance
Giovanni Brigati, Lorenzo Dello Schiavo
https://arxiv.org/abs/2510.02942 https://arx…

Non-bilinear Dirichlet Functionals: Markovianity, locality, invariance
We present in a unified setting the foundations for a theory of non-bilinear Dirichlet functionals on Hilbert spaces. We prove known and new equivalences between non-linear semigroups, non-linear resolvents, non-linear generators, and their energy functionals, including a complete characterization of Markovianity. We introduce and characterize strong notions of invariance for general lower semicontinuous convex functionals, and notions of locality and strong locality for non-bilinear Dirichlet …

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Spiking Neural Networks: a theoretical framework for Universal Approximation and training
Umberto Biccari
https://arxiv.org/abs/2509.21920 https://arxiv.or…

Spiking Neural Networks: a theoretical framework for Universal Approximation and training
Spiking Neural Networks (SNNs) are widely regarded as a biologically-inspired and energy-efficient alternative to classical artificial neural networks. Yet, their theoretical foundations remain only partially understood. In this work, we develop a rigorous mathematical analysis of a representative SNN architecture based on Leaky Integrate-and-Fire (LIF) neurons with threshold-reset dynamics. Our contributions are twofold. First, we establish a universal approximation theorem showing that SNNs c…

CFP: Pietism and Rule: VII. International Congress for Pietism Research, Halle an der Saale (15.03.2026)
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CFP: Pietism and Rule: VII. International Congress for Pietism Research, Halle an der Saale (15.03.2026) https://networks.h-net.org/group/announcements/20135187/pietism-and-rule-vii-international-congress-pietism-research-h…