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With the recent surge in personalized learning, Intelligent Tutoring Systems (ITS) that can accurately track students' individual knowledge states and provide tailored learning paths based on this information are in demand as an essential…

Artificial Intelligence · Computer Science 2025-12-09 Wonbeen Lee , Channyoung Lee , Junho Sohn , Hansam Cho

Intrinsic rewards for exploration in reinforcement learning condition on different contexts: lifelong rewards score each transition against accumulated experience but ignore within-rollout redundancy; episodic rewards penalize…

Machine Learning · Computer Science 2026-05-21 Tim Joseph , Marcus Fechner , Philipp Stegmaier , Karam Daaboul , J. Marius Zöllner

This paper proposes a unified framework in which consciousness emerges as a cycle-consistent, affectively anchored inference process, recursively structured by the interaction of emotion and cognition. Drawing from information theory,…

Neurons and Cognition · Quantitative Biology 2025-07-15 Xin Li

We address the issue of the testability of instrumental variables derived from observational data. Most existing testable implications are centered on scenarios where the treatment is a discrete variable, e.g., instrumental inequality…

Methodology · Statistics 2026-03-13 Xichen Guo , Zheng Li , Biwei Huang , Yan Zeng , Zhi Geng , Feng Xie

We introduce derivation depth-a computable metric of the reasoning effort needed to answer a query based on a given set of premises. We model information as a two-layered structure linking abstract knowledge with physical carriers, and…

Information Theory · Computer Science 2026-02-24 Jianfeng Xu

While it is an important problem to identify the existence of causal associations between two components of a multivariate time series, a topic addressed in Runge et al. (2012), it is even more important to assess the strength of their…

Data Analysis, Statistics and Probability · Physics 2015-07-15 Jakob Runge , Jobst Heitzig , Norbert Marwan , Jürgen Kurths

Outcome labeling ambiguity and subjectivity are ubiquitous in real-world datasets. While practitioners commonly combine ambiguous outcome labels for all data points (instances) in an ad hoc way to improve the accuracy of multi-class…

Machine Learning · Statistics 2022-07-05 Chihao Zhang , Yiling Elaine Chen , Shihua Zhang , Jingyi Jessica Li

Constraint-based causal discovery algorithms utilize many statistical tests for conditional independence to uncover networks of causal dependencies. These approaches to causal discovery rely on an assumed correspondence between the…

Machine Learning · Computer Science 2025-04-18 Bijan Mazaheri , Jiaqi Zhang , Caroline Uhler

Constraint-based causal discovery relies on numerous conditional independence tests (CITs), but its practical applicability is severely constrained by the prohibitive computational cost, especially as CITs themselves have high time…

Machine Learning · Computer Science 2026-03-02 Zhengkang Guan , Kun Kuang

Partial Information Decomposition (PID) seeks to disentangle how information about a target variable is distributed across multiple sources, separating redundant, unique, and synergistic contributions. Despite extensive theoretical…

Information Theory · Computer Science 2025-12-19 Philip Hendrik Matthias , Abdullah Makkeh , Michael Wibral , Aaron J. Gutknecht

We study the informational underpinnings of thermodynamics and statistical mechanics, using an abstract framework, general probabilistic theories, capable of describing arbitrary physical theories. This allows one to abstract the…

Quantum Physics · Physics 2019-01-25 Carlo Maria Scandolo

Empirical evidence suggesting that living systems might operate in the vicinity of critical points, at the borderline between order and disorder, has proliferated in recent years, with examples ranging from spontaneous brain activity to…

Statistical Mechanics · Physics 2014-07-25 Jorge Hidalgo , Jacopo Grilli , Samir Suweis , Miguel A. Munoz , Jayanth R. Banavar , Amos Maritan

This paper presents a new foundational approach to information theory based on the concept of the information efficiency of a recursive function, which is defined as the difference between the information in the input and the output. The…

Information Theory · Computer Science 2023-08-29 Pieter Adriaans

The logical basis for information theory is the newly developed logic of partitions that is dual to the usual Boolean logic of subsets. The key concept is a "distinction" of a partition, an ordered pair of elements in distinct blocks of the…

Information Theory · Computer Science 2013-01-29 David Ellerman

Built upon the concept of causal faithfulness, the so-called causal discovery algorithms propose the breakdown of mutual information (MI) and conditional mutual information (CMI) into sets of variables to reveal causal influences. These…

Statistical Mechanics · Physics 2022-08-09 Tiago Martinelli , Diogo O. Soares-Pinto , Francisco A. Rodrigues

The correlations that can be observed between a set of variables depend on the causal structure underpinning them. Causal structures can be modeled using directed acyclic graphs, where nodes represent variables and edges denote functional…

Quantum Physics · Physics 2015-01-08 Rafael Chaves , Christian Majenz , David Gross

In this paper we consider a testing setting where the set of possible definitions of the Implementation Under Test (IUT), as well as the behavior of each of these definitions in all possible interactions, are extensionally defined, i.e., on…

Computational Complexity · Computer Science 2026-01-21 Ismael Rodriguez , David Rubio , Fernando Rubio

Although there is growing interest in measuring integrated information in computational and cognitive systems, current methods for doing so in practice are computationally unfeasible. Existing and novel integration measures are investigated…

Neurons and Cognition · Quantitative Biology 2017-02-08 Max Tegmark

The paper considers a non-reductionist theory of consciousness, which is not reducible to theories of reality and to physiological or psychological theories. Following D.I.Dubrovsky's "informational approach" to the "Mind-Brain Problem", we…

Artificial Intelligence · Computer Science 2024-01-02 E. E. Vityaev

In financial markets valuable information is rarely circulated homogeneously, because of time required for information to spread. However, advances in communication technology means that the 'lifetime' of important information is typically…

Pricing of Securities · Quantitative Finance 2011-08-05 Dorje C. Brody , Yan Tai Law