Tootfinder

An Information-Theoretic Framework for Credit Risk Modeling: Unifying Industry Practice with Statistical Theory for Fair and Interpretable Scorecards
Agus Sudjianto, Denis Burakov
https://arxiv.org/abs/2509.09855

An Information-Theoretic Framework for Credit Risk Modeling: Unifying Industry Practice with Statistical Theory for Fair and Interpretable Scorecards
Credit risk modeling relies extensively on Weight of Evidence (WoE) and Information Value (IV) for feature engineering, and Population Stability Index (PSI) for drift monitoring, yet their theoretical foundations remain disconnected. We establish a unified information-theoretic framework revealing these industry-standard metrics as instances of classical information divergences. Specifically, we prove that IV exactly equals PSI (Jeffreys divergence) computed between good and bad credit outcomes…

Total/dual correlation/coherence, redundancy/synergy, complexity, and O-information for real and complex valued multivariate data
Roberto D. Pascual-Marqui, Kieko Kochi, Toshihiko Kinoshita
https://arxiv.org/abs/2507.08773

Total/dual correlation/coherence, redundancy/synergy, complexity, and O-information for real and complex valued multivariate data
Firstly, assuming Gaussianity, equations for the following information theory measures are presented: total correlation/coherence (TC), dual total correlation/coherence (DTC), O-information, TSE complexity, and the redundancy-synergy index (RSI). Since these measures are functions of the covariance matrix "S" and its inverse "S^-1", the associated Wishart and inverse-Wishart distributions are of note. The DTC is shown here to be the Kullback-Leibler (KL) divergence for the inverse-Wishart pair …

Image selective encryption analysis using mutual information in CNN based embedding space
Ikram Messadi, Giulia Cervia, Vincent Itier
https://arxiv.org/abs/2508.08832 https://…

Image selective encryption analysis using mutual information in CNN based embedding space
As digital data transmission continues to scale, concerns about privacy grow increasingly urgent - yet privacy remains a socially constructed and ambiguously defined concept, lacking a universally accepted quantitative measure. This work examines information leakage in image data, a domain where information-theoretic guarantees are still underexplored. At the intersection of deep learning, information theory, and cryptography, we investigate the use of mutual information (MI) estimators - in pa…

Safe Deep Reinforcement Learning for Resource Allocation with Peak Age of Information Violation Guarantees
Berire Gunes Reyhan, Sinem Coleri
https://arxiv.org/abs/2507.08653

Safe Deep Reinforcement Learning for Resource Allocation with Peak Age of Information Violation Guarantees
In Wireless Networked Control Systems (WNCSs), control and communication systems must be co-designed due to their strong interdependence. This paper presents a novel optimization theory-based safe deep reinforcement learning (DRL) framework for ultra-reliable WNCSs, ensuring constraint satisfaction while optimizing performance, for the first time in the literature. The approach minimizes power consumption under key constraints, including Peak Age of Information (PAoI) violation probability, tra…

Information in quantum field theory simulators: Thin-film superfluid helium
Maciej T. Jarema, Cameron R. D. Bunney, Vitor S. Barroso, Mohammadamin Tajik, Chris Goodwin, Silke Weinfurtner
https://arxiv.org/abs/2508.07247

Information in quantum field theory simulators: Thin-film superfluid helium
Understanding quantum correlations through information-theoretic measures is fundamental to developments in quantum field theory, quantum information, and quantum many-body physics. A central feature in a plethora of systems is the area law, under which information scales with the size of the boundary of the system, rather than volume. Whilst many systems and regimes exhibiting an area law have been identified theoretically, experimental verification remains limited, particularly in continuous …

Crosslisted article(s) found for cs.IT. https://arxiv.org/list/cs.IT/new
[1/1]:
- Contrastive ECOC: Learning Output Codes for Adversarial Defense
Che-Yu Chou, Hung-Hsuan Chen

All for One: LLMs Solve Mental Math at the Last Token With Information Transferred From Other Tokens
Siddarth Mamidanna, Daking Rai, Ziyu Yao, Yilun Zhou
https://arxiv.org/abs/2509.09650

All for One: LLMs Solve Mental Math at the Last Token With Information Transferred From Other Tokens
Large language models (LLMs) demonstrate proficiency across numerous computational tasks, yet their inner workings remain unclear. In theory, the combination of causal self-attention and multilayer perceptron layers allows every token to access and compute information based on all preceding tokens. In practice, to what extent are such operations present? In this paper, on mental math tasks (i.e., direct math calculation via next-token prediction without explicit reasoning), we investigate this …

Collective dynamics of strategic classification
Marta C. Couto, Flavia Barsotti, Fernando P. Santos
https://arxiv.org/abs/2508.09340 https://arxiv.org/pdf/…

Collective dynamics of strategic classification
Classification algorithms based on Artificial Intelligence (AI) are nowadays applied in high-stakes decisions in finance, healthcare, criminal justice, or education. Individuals can strategically adapt to the information gathered about classifiers, which in turn may require algorithms to be re-trained. Which collective dynamics will result from users' adaptation and algorithms' retraining? We apply evolutionary game theory to address this question. Our framework provides a mathematically rigoro…

Replaced article(s) found for cs.IT. https://arxiv.org/list/cs.IT/new
[1/1]:
- Asymptotic performance of double and four circulant codes with small hull dimension
Zohreh Aliabadi, Tekg\"ul Kalayc{\i}

Interesting stuff. This touches on a lot of work that was on my todo list. Especially estimating the "interestingness" of data by measuring the maximum compute needed to reach the optimal compression.
AIT is definitely becoming practically relevant.
https://arxiv.org/abs/2507.07995

Single-pass Adaptive Image Tokenization for Minimum Program Search
According to Algorithmic Information Theory (AIT) -- Intelligent representations compress data into the shortest possible program that can reconstruct its content, exhibiting low Kolmogorov Complexity (KC). In contrast, most visual representation learning systems use fixed-length representations for all inputs, ignoring variations in complexity or familiarity. Recent adaptive tokenization methods address this by allocating variable-length representations but typically require test-time search o…

To Each Their Own: Heterogeneity in Worker Preferences for Peer Information
Zhi Hao Lim
https://arxiv.org/abs/2508.06162 https://arxiv.org/pdf/2508.06162…

To Each Their Own: Heterogeneity in Worker Preferences for Peer Information
Peer information is pervasive in the workplace, but workers differ in whether and why they value such information. We develop a portable, theory-driven methodology to study heterogeneity in information preferences and the underlying mechanisms. In a real-effort experiment with 793 workers, we elicit willingness-to-pay for peer information delivered either before or after a task. We identify four worker types (indifferent, stress-avoidant, competitive, and learning-oriented) whose effort respons…

Cognitive Affordances in Visualization: Related Constructs, Design Factors, and Framework
Racquel Fygenson, Lace Padilla, Enrico Bertini
https://arxiv.org/abs/2509.09510 https:/…

Cognitive Affordances in Visualization: Related Constructs, Design Factors, and Framework
Classically, affordance research investigates how the shape of objects communicates actions to potential users. Cognitive affordances, a subset of this research, characterize how the design of objects influences cognitive actions, such as information processing. Within visualization, cognitive affordances inform how graphs' design decisions communicate information to their readers. Although several related concepts exist in visualization, a formal translation of affordance theory to visualizati…

Replaced article(s) found for cs.IT. https://arxiv.org/list/cs.IT/new
[1/1]:
- PAC codes with Bounded-Complexity Sequential Decoding: Pareto Distribution and Code Design
Mohsen Moradi, Hessam Mahdavifar

Realizing the Petz Recovery Map on an NMR Quantum Processor
Gayatri Singh, Ram Sagar Sahani, Vinayak Jagadish, Lea Lautenbacher, Nadja K. Bernardes, Kavita Dorai
https://arxiv.org/abs/2508.08998

Realizing the Petz Recovery Map on an NMR Quantum Processor
The Petz recovery map is a fundamental protocol in quantum information theory, enabling the retrieval of quantum information lost due to noisy processes. Here, we experimentally implement the Petz recovery map on a nuclear magnetic resonance (NMR) quantum processor using the duality quantum computing (DQC) algorithm. Focusing on two paradigmatic single-qubit channels, namely phase damping and amplitude damping, we demonstrate that the recovered states closely match theoretical predictions. Our …

Getting In Contract with Large Language Models -- An Agency Theory Perspective On Large Language Model Alignment
Sascha Kaltenpoth, Oliver M\"uller
https://arxiv.org/abs/2509.07642

Getting In Contract with Large Language Models -- An Agency Theory Perspective On Large Language Model Alignment
Adopting Large language models (LLMs) in organizations potentially revolutionizes our lives and work. However, they can generate off-topic, discriminating, or harmful content. This AI alignment problem often stems from misspecifications during the LLM adoption, unnoticed by the principal due to the LLM's black-box nature. While various research disciplines investigated AI alignment, they neither address the information asymmetries between organizational adopters and black-box LLM agents nor con…

Single-pass Adaptive Image Tokenization for Minimum Program Search
Shivam Duggal, Sanghyun Byun, William T. Freeman, Antonio Torralba, Phillip Isola
https://arxiv.org/abs/2507.07995

Single-pass Adaptive Image Tokenization for Minimum Program Search
According to Algorithmic Information Theory (AIT) -- Intelligent representations compress data into the shortest possible program that can reconstruct its content, exhibiting low Kolmogorov Complexity (KC). In contrast, most visual representation learning systems use fixed-length representations for all inputs, ignoring variations in complexity or familiarity. Recent adaptive tokenization methods address this by allocating variable-length representations but typically require test-time search o…

Replaced article(s) found for cs.IT. https://arxiv.org/list/cs.IT/new
[1/1]:
- $q$-ary Sequential Locally Recoverable Codes from the Product Construction
Akram Baghban, Marc Newman, Anna-Lena Horlemann, Mehdi Ghiyasvand

Comparing Notions of Dense Computability on $\omega^\omega$ and $2^\omega$
Peter M. Gerdes
https://arxiv.org/abs/2508.06925 https://arxiv.org/pdf/2508.0692…

Comparing Notions of Dense Computability on $ω^ω$ and $2^ω$
A relatively new topic in computability theory is the study of notions of computation that are robust against mistakes on some kind of small set. However, despite the recent popularity of this topic relatively foundational questions about the notions of reducibility involved still persist. In this paper, we examine two notions of robust information coding, effective dense reducibility and coarse reducibility and answer the question posed in [1]: whether the degrees of functions under these redu…

Cognitive Load and Information Processing in Financial Markets: Theory and Evidence from Disclosure Complexity
Yimin Du, Guolin Tang
https://arxiv.org/abs/2507.07037 https://

Cognitive Load and Information Processing in Financial Markets: Theory and Evidence from Disclosure Complexity
We develop a theoretical framework for understanding how cognitive load affects information processing in financial markets and test it using exogenous variation in disclosure complexity. Our model distinguishes between attention allocation and cognitive processing capacity, showing that complex information creates differential effects across investor types. Using a comprehensive dataset of corporate disclosures and a novel identification strategy based on regulatory changes, we find that cogni…

Quantum Fisher Information as a Measure of Symmetry Breaking in Quantum Many-Body Systems
Shion Yamashika, Shimpei Endo, Hiroyasu Tajima
https://arxiv.org/abs/2509.07468 https:/…

Quantum Fisher Information as a Measure of Symmetry Breaking in Quantum Many-Body Systems
Symmetry breaking underlies diverse phenomena from phase transitions in condensed matter to fundamental interactions in gauge theories. Despite many proposed indicators, a general quantification of symmetry breaking that is faithful, computable, and valid in the thermodynamic limit has remained elusive. Here, within quantum resource theory, we propose the quantum Fisher information (QFI) as such a measure. We demonstrate its utility by computing QFI for paradigmatic models: in the BCS supercond…

Model Cards Revisited: Bridging the Gap Between Theory and Practice for Ethical AI Requirements
Tim Puhlf\"ur{\ss}, Julia Butzke, Walid Maalej
https://arxiv.org/abs/2507.06014

Model Cards Revisited: Bridging the Gap Between Theory and Practice for Ethical AI Requirements
Model cards are the primary documentation framework for developers of artificial intelligence (AI) models to communicate critical information to their users. Those users are often developers themselves looking for relevant documentation to ensure that their AI systems comply with the ethical requirements of existing laws, guidelines, and standards. Recent studies indicate inadequate model documentation practices, suggesting a gap between AI requirements and current practices in model documentat…

Bounding quantum uncommon information with quantum neural estimators
Donghwa Ji, Junseo Lee, Myeongjin Shin, IlKwon Sohn, Kabgyun Jeong
https://arxiv.org/abs/2507.06091

Bounding quantum uncommon information with quantum neural estimators
In classical information theory, uncommon information refers to the amount of information that is not shared between two messages, and it admits an operational interpretation as the minimum communication cost required to exchange the messages. Extending this notion to the quantum setting, quantum uncommon information is defined as the amount of quantum information necessary to exchange two quantum states. While the value of uncommon information can be computed exactly in the classical case, no …

Probing Direct Waves in Black Hole Ringdowns
Naritaka Oshita, Sizheng Ma, Yanbei Chen, Huan Yang
https://arxiv.org/abs/2509.09165 https://arxiv.org/pdf/250…

Probing Direct Waves in Black Hole Ringdowns
Merger gravitational waves from binary black hole coalescence carry rich information about the underlying spacetime dynamics. We analyze merger waves from comparable-mass and extreme-mass-ratio binaries, obtained from numerical relativity and black-hole perturbation theory, respectively, and argue that they are dominated by the prompt wave emissions as the black holes collide. This signal, which we refer to as the direct wave, is modulated by the plunging motion and selectively screened by the …

Disentangling Vortex-driven Dynamics in the Solar Atmosphere Using Information Theory
Suzana S. A. Silva, Erico Rempel, Gary Verth, Istvan Ballai, Viktor Fedun
https://arxiv.org/abs/2509.04329

Disentangling Vortex-driven Dynamics in the Solar Atmosphere Using Information Theory
Solar tornadoes are believed to influence plasma dynamics and create conditions for heating, yet a direct quantitative link is lacking. Here, for the first time, we directly measure vortex-driven dynamics using information-theoretic diagnostics in a Bifrost simulation. By combining Shannon Entropy (SE) and Normalized Mutual Information (NMI), we track how vortices restructure plasma-magnetic interactions and channel energy into heat. The vortex flow originates in the upper photosphere and exten…

Quantum Theory of Exciton Magnetic Moment: Interaction and Topological Effects
Gurjyot Sethi, Jiawei Ruan, Fang Zhang, Weichen Tang, Chen Hu, Mit Naik, Steven G. Louie
https://arxiv.org/abs/2509.07284 …

Quantum Theory of Exciton Magnetic Moment: Interaction and Topological Effects
Combining magnetometry with optical spectroscopy has uncovered novel quantum phenomena and is emerging as a platform for quantum information science. Yet, the theory of magnetic response of excitons, correlated electron-hole pairs in semiconductors, remains incomplete due to insufficient treatment of electron-hole interaction and topological effects. In biased bilayer graphene, for instance, theoretical predictions of valley g-factor for p-excitons deviate from experiment by nearly an order of …

Hierarchy or Heterarchy? A Theory of Long-Range Connections for the Sensorimotor Brain
Jeff Hawkins (Thousand Brains Project), Niels Leadholm (Thousand Brains Project), Viviane Clay (Thousand Brains Project)
https://arxiv.org/abs/2507.05888

Hierarchy or Heterarchy? A Theory of Long-Range Connections for the Sensorimotor Brain
In the traditional understanding of the neocortex, sensory information flows up a hierarchy of regions, with each level processing increasingly complex features. Information also flows down the hierarchy via a different set of connections. Although the hierarchical model has significant support, many anatomical connections do not conform to the standard hierarchical interpretation. In addition, hierarchically arranged regions sometimes respond in parallel, not sequentially as would occur in a h…

Capillary hysteresis induced by gap-resolved meniscus dynamics on Faraday instability in Hele-Shaw cells
Xingsheng Li, Jing Li, Xiaochen Li
https://arxiv.org/abs/2509.09475 http…

Capillary hysteresis induced by gap-resolved meniscus dynamics on Faraday instability in Hele-Shaw cells
Existing theoretical analyses on Faraday waves in Hele-Shaw cells typically adopt gap-averaged governing equations and rely on Hamraoui's model coming from molecular kinetics theory, thereby oversimplifying essential transverse information, such as contact line velocity and capillary hysteresis, and conflicting with the unsteady meniscus dynamics. In this paper, a gap-resolved approach is developed by directly modeling the transverse gap flow and the contact angle dynamics, which overcomes the …

Replaced article(s) found for cs.SI. https://arxiv.org/list/cs.SI/new
[1/1]:
- On the Graph Theory of Majority Illusions: Theoretical Results and Computational Experiments
Maaike Los, Zo\'e Christoff, Davide Grossi

Retrodicting Chaotic Systems: An Algorithmic Information Theory Approach
Kamal Dingle, Boumediene Hamzi, Marcus Hutter, Houman Owhadi
https://arxiv.org/abs/2507.04780

Retrodicting Chaotic Systems: An Algorithmic Information Theory Approach
Making accurate inferences about data is a key task in science and mathematics. Here we study the problem of \emph{retrodiction}, inferring past values of a series, in the context of chaotic dynamical systems. Specifically, we are interested in inferring the starting value $x_0$ in the series $x_0,x_1,x_2,\dots,x_n$ given the value of $x_n$, and the associated function $f$ which determines the series as $f(x_i)=x_{i+1}$. Even in the deterministic case this is a challenging problem, due to mixin…

Spectral Fingerprints of Algebraic Cycles on K3 Surfaces: A Hodge-Theoretic Perspective
Bita Hajebi, Pooya Hajebi
https://arxiv.org/abs/2507.07234 https://…

Spectral Fingerprints of Algebraic Cycles on K3 Surfaces: A Hodge-Theoretic Perspective
This paper introduces a novel framework, the "Spectral Fingerprint Philosophy," for extracting intrinsic algebraic information from Hodge cycles, particularly divisors, on K3 surfaces. We depart from traditional geometric spectral analysis, which relies on the Laplace-Beltrami operator and faces significant computational challenges for Ricci-flat Kahler metrics. Instead, we leverage the powerful machinery of Hodge theory, variation of Hodge structures (VHS), and arithmetic geometry. We demonstr…

The Pandora's Box Problem with Sequential Inspections
Ali Aouad, Jingwei Ji, Yaron Shaposhnik
https://arxiv.org/abs/2507.07508 https://

The Pandora's Box Problem with Sequential Inspections
The Pandora's box problem (Weitzman 1979) is a core model in economic theory that captures an agent's (Pandora's) search for the best alternative (box). We study an important generalization of the problem where the agent can either fully open boxes for a certain fee to reveal their exact values or partially open them at a reduced cost. This introduces a new tradeoff between information acquisition and cost efficiency. We establish a hardness result and employ an array of techniques in stochasti…

[2025-08-15 Fri (UTC), 7 new articles found for cs.IT Information Theory]
toXiv_bot_toot

Enhancing Mega-Satellite Networks with Generative Semantic Communication: A Networking Perspective
Binquan Guo, Wanting Yang, Zehui Xiong, Zhou Zhang, Baosheng Li, Zhu Han, Rahim Tafazolli, Tony Q. S. Quek
https://arxiv.org/abs/2508.07573

Enhancing Mega-Satellite Networks with Generative Semantic Communication: A Networking Perspective
The advance of direct satellite-to-device communication has positioned mega-satellite constellations as a cornerstone of 6G wireless communication, enabling seamless global connectivity even in remote and underserved areas. However, spectrum scarcity and capacity constraints imposed by the Shannon's classical information theory remain significant challenges for supporting the massive data demands of multimedia-rich wireless applications. Generative Semantic Communication (GSC), powered by artif…

A novel approach for air shower profile reconstruction with dense radio antenna arrays using Information Field Theory
K. Watanabe, S. Bouma, J. D. Bray, S. Buitink, A. Corstanje, V. De Henau, M. Desmet, E. Dickinson, L. van Dongen, T. A. En{\ss}lin, B. Hare, H. He, J. R. H\"orandel, T. Huege, C. W. James, M. Jetti, P. Laub, H. J. Mathes, K. Mulrey, A. Nelles, S. Saha, O. Scholten, S. Sharma, R. E. Spencer, C. Sterpka, S. ter Veen, K. Terveer, S. Thoudam, T. N. G. Trinh, P. Turekov…

A novel approach for air shower profile reconstruction with dense radio antenna arrays using Information Field Theory
Reconstructing the longitudinal profile of extensive air showers, generated from the interaction of cosmic rays in the Earth's atmosphere, is crucial to understanding their mass composition, which in turn provides valuable insight on their possible sources of origin. Dense radio antenna arrays such as the LOw Frequency ARray (LOFAR) telescope as well as the upcoming Square Kilometre Array Observatory (SKAO) are ideal instruments to explore the potential of air shower profile reconstruction, as …

Using causal abstractions to accelerate decision-making in complex bandit problems
Joel Dyer, Nicholas Bishop, Anisoara Calinescu, Michael Wooldridge, Fabio Massimo Zennaro
https://arxiv.org/abs/2509.04296

Using causal abstractions to accelerate decision-making in complex bandit problems
Although real-world decision-making problems can often be encoded as causal multi-armed bandits (CMABs) at different levels of abstraction, a general methodology exploiting the information and computational advantages of each abstraction level is missing. In this paper, we propose AT-UCB, an algorithm which efficiently exploits shared information between CMAB problem instances defined at different levels of abstraction. More specifically, AT-UCB leverages causal abstraction (CA) theory to explo…

Mutual Information Rate -- Linear Noise Approximation and Exact Computation
Manuel Reinhardt, Age J. Tjalma, Anne-Lena Moor, Christoph Zechner, Pieter Rein ten Wolde
https://arxiv.org/abs/2508.21220

Mutual Information Rate -- Linear Noise Approximation and Exact Computation
Efficient information processing is crucial for both living organisms and engineered systems. The mutual information rate, a core concept of information theory, quantifies the amount of information shared between the trajectories of input and output signals, and enables the quantification of information flow in dynamic systems. A common approach for estimating the mutual information rate is the Gaussian approximation which assumes that the input and output trajectories follow Gaussian statistic…

Fisher information for solutions of the Boltzmann equation
Cyril Imbert (DMA)
https://arxiv.org/abs/2509.03045 https://arxiv.org/pdf/2509.03045

Fisher information for solutions of the Boltzmann equation
This note reviews a recent contribution about the Fisher information for the space-homogeneous Boltzmann equation by L. Silvestre, C. Villani and the author (arXiv, 2024). This classical functional from information theory is shown to be nonincreasing along the flow of the non-linear PDE for all physically relevant particle interactions. The proof consists in establishing a new functional inequality on the sphere of Log-Sobolev type. This new a priori estimate on solutions yields global-in-time …

[2025-07-14 Mon (UTC), 7 new articles found for cs.IT Information Theory]
toXiv_bot_toot

Single-frame super-resolution via Sparse Point Optimization
Xiaofeng Zhang, Yongsheng Huang, Jielong Yang, Zhili Wang, Si Chen, Linbo Liu, Xin Ge
https://arxiv.org/abs/2509.08730

Single-frame super-resolution via Sparse Point Optimization
Fluorescence microscopy is essential in biological and medical research, providing critical insights into cellular structures. However, limited by optical diffraction and background noise, a substantial amount of hidden information is still unexploited. To address these challenges, we introduce a novel computational method, termed Sparse Point Optimization Theory (SPOT), which accurately localizes fluorescent emitters by solving an optimization problem. Our results demonstrate that SPOT success…

Crosslisted article(s) found for math.ST. https://arxiv.org/list/math.ST/new
[1/1]:
- Open problems in information geometry: a discussion at FDIG 2025
Tomonari Sei, Hiroshi Matsuzoe

AI Product Value Assessment Model: An Interdisciplinary Integration Based on Information Theory, Economics, and Psychology
Yu yang
https://arxiv.org/abs/2508.16714 https://

AI Product Value Assessment Model: An Interdisciplinary Integration Based on Information Theory, Economics, and Psychology
In recent years, breakthroughs in artificial intelligence (AI) technology have triggered global industrial transformations, with applications permeating various fields such as finance, healthcare, education, and manufacturing. However, this rapid iteration is accompanied by irrational development, where enterprises blindly invest due to technology hype, often overlooking systematic value assessments. This paper develops a multi-dimensional evaluation model that integrates information theory's e…

Information-Theoretical Approach to Relaxation Time Distribution in Rheology: Log-Normal Relaxation Spectrum Model
Takashi Uneyama
https://arxiv.org/abs/2509.02059 https://

Information-Theoretical Approach to Relaxation Time Distribution in Rheology: Log-Normal Relaxation Spectrum Model
The relaxation modulus of a viscoelastic fluid can be decomposed into multiple Maxwell models and characterized by the relaxation spectrum for the relaxation time. It is empirically known that the logarithmic relaxation time is useful to express the relaxation spectrum. We use information geometry to analyze the relaxation modulus and shown that the logarithmic relaxation time is the most natural variable for the relaxation spectrum. Then we use information theory to estimate the most probable …

The Geodesics Less Traveled: Nonminimal RT Surfaces and Holographic Scattering
Jacqueline Caminiti, Caroline Lima, Robert C. Myers
https://arxiv.org/abs/2509.03597 https://

The Geodesics Less Traveled: Nonminimal RT Surfaces and Holographic Scattering
The connected wedge theorem states that in order to have a scattering process in the bulk, it is necessary to have O(1/G) mutual information between certain "decision" regions in the boundary theory. While this large mutual information is not generally sufficient to imply scattering, Caminiti et al. (2024) showed that for a certain class of geometries, bulk scattering is implied by a certain relation between two (possibly non-minimal) Ryu-Takayanagi surfaces. Here, we show that the 2-to-2 versi…

Systematic errors in fast relativistic waveforms for Extreme Mass Ratio Inspirals
Hassan Khalvati, Philip Lynch, Ollie Burke, Lorenzo Speri, Maarten van de Meent, Zachary Nasipak
https://arxiv.org/abs/2509.08875

Systematic errors in fast relativistic waveforms for Extreme Mass Ratio Inspirals
Accurate modeling of Extreme Mass-Ratio Inspirals (EMRIs) is essential for extracting reliable information from future space-based gravitational wave observatories. Fast waveform generation frameworks adopt an offline/online architecture, where expensive relativistic computations (e.g. self-force and black hole perturbation theory) are performed offline, and waveforms are generated rapidly online via interpolation across a multidimensional parameter space. In this work, we investigate potential…

Surpassing the wave-particle duality relation via feed-forward of phase information
Elisabeth Meusert, Uwe Schilling, Marc-Oliver Pleinert, Joachim von Zanthier
https://arxiv.org/abs/2509.04989

Surpassing the wave-particle duality relation via feed-forward of phase information
Complementarity constitutes a central aspect of quantum theory. It manifests itself, for example, in a two-way interferometer, where the simultaneous observation of an interference pattern and the acquisition of which-way information are limited by an inequality known as the duality relation. Here, we investigate which-way information in a double-slit interferometer and show that it can be correlated to the phase of the quantum object at the detection screen, leading to a phase-dependent which-…

Replaced article(s) found for cs.IT. https://arxiv.org/list/cs.IT/new
[1/1]:
- Fundamental Limits of Distributed Linearly Separable Computation under Cyclic Assignment
Wenbo Huang, Kai Wan, Hua Sun, Mingyue Ji, Robert Caiming Qiu, Giuseppe Caire

Direct numerical simulations of the supersonic Taylor--Green vortex via the Boltzmann equation
Tarik Dzanic, Will Trojak, Luigi Martinelli
https://arxiv.org/abs/2507.07213

Direct numerical simulations of the supersonic Taylor--Green vortex via the Boltzmann equation
We explore the dynamics of the three-dimensional compressible Taylor--Green vortex from the perspective of kinetic theory by directly solving the six-dimensional Boltzmann equation. This work studies the connections between molecular-scale information encoded in the high-dimensional distribution function (e.g., molecular entropy measures) and macroscopic turbulent flow characteristics. We present high-order direct numerical simulations at Mach numbers of $0.5$ to $1.25$ and Reynolds numbers of …

Kullback-Leibler Divergence as a Measure of Irreversible Information Loss Near Black Hole Horizons
Tatsuaki Tsuruyama
https://arxiv.org/abs/2508.04348 https://

Kullback-Leibler Divergence as a Measure of Irreversible Information Loss Near Black Hole Horizons
We present a unified theoretical framework that integrates information theory, thermodynamics, and general relativity to analyze the fundamental limit of decoding time-encoded signals in curved spacetime. In particular, we introduce the Kullback-Leibler divergence (KLD) as a quantitative measure of the mismatch between the transmitted and received symbol distributions induced by gravitational time dilation. Using a minimal communication model, we derive the critical radius at which information …

A Theory of Information, Variation, and Artificial Intelligence
Bijean Ghafouri
https://arxiv.org/abs/2508.19264 https://arxiv.org/pdf/2508.19264

A Theory of Information, Variation, and Artificial Intelligence
A growing body of empirical work suggests that the widespread adoption of generative AI produces a significant homogenizing effect on information, creativity, and cultural production. I first develop a novel theoretical framework to explain this phenomenon. I argue that a dynamic of AI-derivative epistemology, in which individuals increasingly defer to AI outputs, allows a centralized AI Prism to function, a technical mechanism whose architecture is designed to reduce variance and converge on t…

Entropy measures as indicators of connectivity paths in the human brain
Ania Mesa-Rodr\'iguez, Ernesto Estevez-Rams, Holger Kantz
https://arxiv.org/abs/2507.04442

Entropy measures as indicators of connectivity paths in the human brain
How does the information flow between different brain regions during various stimuli? This is the question we aim to address by studying complex cognitive paradigms in terms of Information Theory. To assess creativity and the emergence of patterns from a Shannon perspective, we applied a range of tools, including Entropy Density, Effective Measure Complexity, and the Lempel-Ziv distance. These entropic tools enable the detection of both linear and non-linear dynamics without relying on pre-esta…

Additivity of quantum relative entropies as a single-copy criterion
Salman Beigi, Roberto Rubboli, Marco Tomamichel
https://arxiv.org/abs/2507.05696 https:…

Additivity of quantum relative entropies as a single-copy criterion
The fundamental goal of information theory is to characterize complex operational tasks using efficiently computable information quantities, Shannon's capacity formula being the prime example of this. However, many tasks in quantum information can only be characterized by regularized entropic measures that are often not known to be computable and for which efficient approximations are scarce. It is thus of fundamental importance to understand when regularization is not needed, opening the door …

Crosslisted article(s) found for cs.IT. https://arxiv.org/list/cs.IT/new
[1/1]:
- The Eigenvalue Method in Coding Theory
Aida Abiad, Loes Peters, Alberto Ravagnani

The Condition Number as a Scale-Invariant Proxy for Information Encoding in Neural Units
Oswaldo Ludwig
https://arxiv.org/abs/2506.16289 https://

The Condition Number as a Scale-Invariant Proxy for Information Encoding in Neural Units
This paper explores the relationship between the condition number of a neural network's weight tensor and the extent of information encoded by the associated processing unit, viewed through the lens of information theory. We argue that a high condition number, though not sufficient for effective knowledge encoding, may indicate that the unit has learned to selectively amplify and compress information. We formalize this intuition, particularly for linear units with Gaussian inputs, linking the c…

Self-selection of Information and Belief Update: An Experiment on COVID-19 Vaccine Information Acquisition
ChienHsun Lin, Hans H. Tung
https://arxiv.org/abs/2506.19056

Self-selection of Information and Belief Update: An Experiment on COVID-19 Vaccine Information Acquisition
Rational information acquisition theory predicts that people select the more informative information. Thus, people's beliefs will be more persuaded by the information they select. We test the prediction in a critical real-world context -- information about COVID-19 vaccines. We conducted an online experiment in Taiwan where the subjects selected information about COVID-19 vaccines, and then the subjects updated their beliefs about vaccine effectiveness and references to vaccines. As our design …

Unambiguous discrimination of the change point for quantum channels
Kenji Nakahira
https://arxiv.org/abs/2508.06785 https://arxiv.org/pdf/2508.06785…

Unambiguous discrimination of the change point for quantum channels
Identifying the precise moment when a quantum channel undergoes a change is a fundamental problem in quantum information theory. We study how accurately one can determine the time at which a channel transitions to another. We investigate the quantum limit of the average success probability in unambiguous discrimination, in which errors are completely avoided by allowing inconclusive results with a certain probability. This problem can be viewed as a quantum process discrimination task, where th…

[2025-08-13 Wed (UTC), 5 new articles found for cs.IT Information Theory]
toXiv_bot_toot

Replaced article(s) found for quant-ph. https://arxiv.org/list/quant-ph/new
[2/2]:
- One application of Duistermaat-Heckman measure in quantum information theory
Lin Zhang, Xiaohan Jiang, Bing Xie

Crosslisted article(s) found for cs.IT. https://arxiv.org/list/cs.IT/new
[1/1]:
- Optimizing information flow in Gene Regulatory Networks: a geometric perspective
Miguel \'Angel Garc\'ia-Ariza, Alessandro Bravetti, Pablo Padilla, J Roberto Romero-Arias

A proposal for the role of higher spin fields in Conformal Cyclic Cosmology
Anders K. H. Bengtsson
https://arxiv.org/abs/2507.06634 https://

A proposal for the role of higher spin fields in Conformal Cyclic Cosmology
This paper proposes a research program into how the special properties of the cubic chiral higher spin gravity theory may play a role in conformal cyclic cosmology and black hole physics, in particular for the black hole information paradox. The paper is qualitative, raising a number of questions and connections, that may be interesting to pursue in more detail. The proposal is based on a new -- at least not so commonly expressed -- view on the presumptive role of higher spin gauge fields in fu…

Replaced article(s) found for cs.IT. https://arxiv.org/list/cs.IT/new
[1/1]:
- Channel Polarization under Channel Noise with Memory
Tianfu Qi, Jun Wang
https://…

Information-Theoretic Lower Bounds for Approximating Monomials via Optimal Quantum Tsallis Entropy Estimation
Qisheng Wang
https://arxiv.org/abs/2509.03496 https://

Information-Theoretic Lower Bounds for Approximating Monomials via Optimal Quantum Tsallis Entropy Estimation
This paper reveals a conceptually new connection from information theory to approximation theory via quantum algorithms for entropy estimation. Specifically, we provide an information-theoretic lower bound $Ω(\sqrt{n})$ on the approximate degree of the monomial $x^n$, compared to the analytic lower bounds shown in Newman and Rivlin (Aequ. Math. 1976) via Fourier analysis and in Sachdeva and Vishnoi (Found. Trends Theor. Comput. Sci. 2014) via the Markov brothers' inequality. This is done by re…

Theory Framework of Multiplexed Photon-Number-Resolving Detectors
Xiaobin Zhao, Hezheng Qin, Hong X. Tang, Linran Fan, Quntao Zhuang
https://arxiv.org/abs/2507.05554

Theory Framework of Multiplexed Photon-Number-Resolving Detectors
Photon counting is a fundamental component in quantum optics and quantum information. However, implementing ideal photon-number-resolving (PNR) detectors remains experimentally challenging. Multiplexed PNR detection offers a scalable and practical alternative by distributing photons across multiple modes and detecting their presence using simple ON-OFF detectors, thereby enabling approximate photon-number resolution. In this work, we establish a theoretical model for such detectors and prove th…

Zero-Error Nash Equilibrium: Harnessing Nonlocal Correlation in Incomplete Information Games
Ambuj, Tushar, Siddharth R. Pandey, Ram Krishna Patra, Anandamay Das Bhowmik, Kuntal Som, Amit Mukherjee
https://arxiv.org/abs/2509.02947

Zero-Error Nash Equilibrium: Harnessing Nonlocal Correlation in Incomplete Information Games
Claude Shannon's zero-error communication paradigm reshaped our understanding of fault-tolerant information transfer. Here, we adapt this notion into game theory with incomplete information. We ask: can players with private information coordinate on a Nash equilibrium with zero probability of error? We identify Bayesian games in which such coordination is impossible classically, yet achievable by harnessing Bell nonlocal correlations. We formalize this requirement as zero-error Nash equilibrium…

[2025-09-12 Fri (UTC), 5 new articles found for cs.IT Information Theory]
toXiv_bot_toot

Certification of nonobjective information by Popescu-Rohrlich box fraction and distinguishing quantum theory
Chellasamy Jebarathinam
https://arxiv.org/abs/2507.21051 https://

Certification of nonobjective information by Popescu-Rohrlich box fraction and distinguishing quantum theory
It is demonstrated that identifying information-theoretic limitations of quantum Bell nonlocality alone cannot completely distinguish quantum theory from generalized nonsignaling theories. To this end, an information-theoretic concept of certifying nonobjective information by the Popescu-Rohrlich box fraction is employed. Furthermore, in the aforementioned demonstration, a partial answer to the question of what distinguishes quantum theory from generalized nonsignaling theories emerges beyond t…

[2025-08-12 Tue (UTC), 15 new articles found for cs.IT Information Theory]
toXiv_bot_toot

Replaced article(s) found for cs.IT. https://arxiv.org/list/cs.IT/new
[1/1]:
- GC Code: A Systematic Short Blocklength Code for Correcting Random Edit Errors in DNA Storage
Serge Kas Hanna

Structural Perspectives from Quantum States and Measurements in Optimal State Discrimination
Hyunho Cha, Jungwoo Lee
https://arxiv.org/abs/2507.05778 https…

Structural Perspectives from Quantum States and Measurements in Optimal State Discrimination
Quantum state discrimination is a fundamental concept in quantum information theory, which refers to a class of techniques to identify a specific quantum state through a positive operator-valued measure. In this work, we investigate how structural information about either the quantum states or the measurement operators can influence our ability to determine or bound the optimal discrimination probability. First, we observe that for single-qubit states, pairwise fidelities are sufficient to comp…

Replaced article(s) found for cs.IT. https://arxiv.org/list/cs.IT/new
[1/1]:
- Tradeoffs among Action Taking Policies Matter in Active Sequential Multi-Hypothesis Testing: the ...
Chia-Yu Hsu, I-Hsiang Wang

Replaced article(s) found for cs.IT. https://arxiv.org/list/cs.IT/new
[1/1]:
- Integrated Sensing and Communications for Unsourced Random Access: Fundamental Limits and Practic...
Mohammad Javad Ahmadi, Rafael F. Schaefer, H. Vincent Poor

On the Complexity of Quantum States and Circuits from the Orthogonal and Symplectic Groups
Oxana Shaya, Zo\"e Holmes, Christoph Hirche, Armando Angrisani
https://arxiv.org/abs/2509.07573

On the Complexity of Quantum States and Circuits from the Orthogonal and Symplectic Groups
Understanding the complexity of quantum states and circuits is a central challenge in quantum information science, with broad implications in many-body physics, high-energy physics and quantum learning theory. A common way to model the behaviour of typical states and circuits involves sampling unitary transformations from the Haar measure on the unitary group. In this work, we depart from this standard approach and instead study structured unitaries drawn from other compact connected groups, na…

Towards a Measure Theory of Semantic Information
George M. Coghill
https://arxiv.org/abs/2508.00525 https://arxiv.org/pdf/2508.00525

Towards a Measure Theory of Semantic Information
A classic account of the quantification of semantic information is that of Bar-Hiller and Carnap. Their account proposes an inverse relation between the informativeness of a statement and its probability. However, their approach assigns the maximum informativeness to a contradiction: which Floridi refers to as the Bar-Hillel-Carnap paradox. He developed a novel theory founded on a distance metric and parabolic relation, designed to remove this paradox. Unfortunately is approach does not succeed…

Replaced article(s) found for cs.IT. https://arxiv.org/list/cs.IT/new
[1/1]:
- Fast Decoding of Interleaved Linearized Reed-Solomon Codes and Variants
Hannes Bartz, Sven Puchinger

Crosslisted article(s) found for cs.IT. https://arxiv.org/list/cs.IT/new
[1/1]:
- Cross-field SNR Analysis and Tensor Channel Estimation for Multi-UAV Near-field Communications
Tianyu Huo, Jian Xiong, Yiyan Wu, Songjie Yang, Bo Liu, Wenjun Zhang

Replaced article(s) found for cs.IT. https://arxiv.org/list/cs.IT/new
[1/1]:
- A Hypergraph Approach to Distributed Broadcast
Qi Cao, Yulin Shao, Fan Yang, Octavia A. Dobre

Replaced article(s) found for cs.IT. https://arxiv.org/list/cs.IT/new
[1/1]:
- Improved Channel Coding Performance Through Cost Variability
Adeel Mahmood, Aaron B. Wagner

An equivalence between time-symmetry and cyclic causality in quantum theory
Eliot Jean, Ralph Silva, V. Vilasini
https://arxiv.org/abs/2508.02463 https://a…

An equivalence between time-symmetry and cyclic causality in quantum theory
Understanding the relationship between the time-symmetric nature of physical laws and the apparent directionality of causality is a central question in quantum foundations. The standard operational formulation, widely used in quantum information, imposes a definite, acyclic causal order on agents' operations, contrasting with time-symmetric dynamics. Two prominent extensions of this framework are the multi-time state (MTS) formalism, which incorporates time symmetry via arbitrary pre- and post-…

On Drug Delivery System Parameter Optimisation via Semantic Information Theory
Milica Leki\'c, Mohammad Zoofaghari, Ilangko Balasingham, Mladen Veleti\'c
https://arxiv.org/abs/2506.22137

On Drug Delivery System Parameter Optimisation via Semantic Information Theory
We investigate the application of semantic information theory to drug delivery systems (DDS) within the molecular communication (MC) framework. To operationalise this, we observe a DDS as a molecular concentration-based channel. Semantic information is defined as the amount of information required for a DDS to achieve its therapeutic goal in a dynamic environment. We derive it by introducing interventions, defined as modifications to DDS parameters, a viability function, and system-environment …

Local transformations of bipartite entanglement are rigid
John Bostanci, Tony Metger, Henry Yuen
https://arxiv.org/abs/2509.05257 https://arxiv.org/pdf/250…

Local transformations of bipartite entanglement are rigid
Uhlmann's theorem is a fundamental result in quantum information theory that quantifies the optimal overlap between two bipartite pure states after applying local unitary operations (called Uhlmann transformations). We show that optimal Uhlmann transformations are rigid -- in other words, they must be unique up to some well-characterized degrees of freedom. This rigidity is also robust: Uhlmann transformations achieving near-optimal overlaps must be close to the unique optimal transformation (a…

[2025-09-11 Thu (UTC), 8 new articles found for cs.IT Information Theory]
toXiv_bot_toot

[2025-07-11 Fri (UTC), 4 new articles found for cs.IT Information Theory]
toXiv_bot_toot

[2025-08-11 Mon (UTC), 3 new articles found for cs.IT Information Theory]
toXiv_bot_toot

Maximum channel entropy principle and microcanonical channels
Philippe Faist, Sumeet Khatri
https://arxiv.org/abs/2508.03994 https://arxiv.org/pdf/2508.039…

Maximum channel entropy principle and microcanonical channels
The thermal state plays a number of significant roles throughout physics, information theory, quantum computing, and machine learning. It arises from Jaynes' maximum-entropy principle as the maximally entropic state subject to linear constraints, and is also the reduced state of the microcanonical state on the system and a large environment. We formulate a maximum-channel-entropy principle, defining a thermal channel as one that maximizes a channel entropy measure subject to linear constraints …

Crosslisted article(s) found for cs.IT. https://arxiv.org/list/cs.IT/new
[1/1]:
- Sparse Sensor Allocation for Inverse Problems of Detecting Sparse Leaking Emission Sources
Xinchao Liu, Youngdeok Hwang, Dzung Phan, Levente Klein, Xiao Liu, Kyongmin Yeo

Replaced article(s) found for cs.IT. https://arxiv.org/list/cs.IT/new
[1/1]:
- Metrization of powers of the Jensen-Shannon divergence
Kazuki Okamura

Replaced article(s) found for cs.IT. https://arxiv.org/list/cs.IT/new
[1/1]:
- Massive MIMO-NOMA Systems Secrecy in the Presence of Active Eavesdroppers
Marziyeh Soltani, Mahtab Mirmohseni, Panos Papadimitratos

[2025-09-10 Wed (UTC), 9 new articles found for cs.IT Information Theory]
toXiv_bot_toot

[2025-07-10 Thu (UTC), 6 new articles found for cs.IT Information Theory]
toXiv_bot_toot

Replaced article(s) found for cs.IT. https://arxiv.org/list/cs.IT/new
[1/1]:
- Repetition and recurrence times: Dual statements and summable mixing rates
{\L}ukasz D\k{e}bowski

Crosslisted article(s) found for cs.IT. https://arxiv.org/list/cs.IT/new
[1/1]:
- Fundamental bounds on efficiency-confidence trade-off for transductive conformal prediction
Arash Behboodi, Alvaro H. C. Correia, Fabio Valerio Massoli, Christos Louizos

Replaced article(s) found for cs.IT. https://arxiv.org/list/cs.IT/new
[1/1]:
- Linearity of $\mathbb{Z}_{2^L}$-Linear Codes via Schur Product
Gustavo T. Bastos, Maiara F. Bollauf, Agnaldo J. Ferrari, {\O}yvind Ytrehus

Single Fragment Forensic Coding from Discrepancy Theory
Junsheng Liu, Netanel Raviv
https://arxiv.org/abs/2508.03938 https://arxiv.org/pdf/2508.03938

Single Fragment Forensic Coding from Discrepancy Theory
Three-dimensional (3D) printing's accessibility enables rapid manufacturing but also poses security risks, such as the unauthorized production of untraceable firearms and prohibited items. To ensure traceability and accountability, embedding unique identifiers within printed objects is essential, in order to assist forensic investigation of illicit use. This paper models data embedding in 3D printing using principles from error-correcting codes, aiming to recover embedded information from parti…

[2025-09-09 Tue (UTC), 8 new articles found for cs.IT Information Theory]
toXiv_bot_toot

[2025-07-09 Wed (UTC), 6 new articles found for cs.IT Information Theory]
toXiv_bot_toot

Replaced article(s) found for cs.IT. https://arxiv.org/list/cs.IT/new
[1/1]:
- Weight Distribution of Repeated-Root Cyclic Codes with Prime Power Lengths
Wei Zhao, Weixian Li, Shenghao Yang, Fang-Wei Fu, Kenneth W. Shum

Crosslisted article(s) found for cs.IT. https://arxiv.org/list/cs.IT/new
[1/1]:
- Recall Gabor Communication Theory and Joint Time-Frequency Analysis
Xiang-Gen Xia

Replaced article(s) found for cs.IT. https://arxiv.org/list/cs.IT/new
[1/1]:
- Asymptotic performance of double and four circulant codes with small hull dimension
Zohreh Aliabadi, Tekg\"ul Kalayc{\i}

Replaced article(s) found for cs.IT. https://arxiv.org/list/cs.IT/new
[1/1]:
- Optimal quantum locally recoverable codes from matrix-product construction
Carlos Galindo, Fernando Hernando, Carlos Munuera, Diego Ruano

[2025-09-08 Mon (UTC), no new articles found for cs.IT Information Theory]
toXiv_bot_toot

[2025-08-08 Fri (UTC), 13 new articles found for cs.IT Information Theory]
toXiv_bot_toot