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The microscopic origin of friction is an important topic in science and technology. To date, noteworthy aspects of it remain unsolved. In an effort to shed some light on the possible mechanisms that could give rise to the macroscopic…

Mesoscale and Nanoscale Physics · Physics 2018-10-31 Maria Lujan Iglesias , Sebastian Goncalves , V. M. Kenkre , Mukesh Tiwari

This paper provides a concise description of the free energy principle, starting from a formulation of random dynamical systems in terms of a Langevin equation and ending with a Bayesian mechanics that can be read as a physics of sentience.…

Free energy perturbation (FEP) is frequently used to evaluate the free energy change of a biological process, e.g. the drug binding free energy or the ligand solvation free energy. Due to the sampling inefficiency, FEP is often employed…

Chemical Physics · Physics 2017-01-31 Ying-Chih Chiang , Frank Otto

Although popularized AI fairness metrics, e.g., demographic parity, have uncovered bias in AI-assisted decision-making outcomes, they do not consider how much effort one has spent to get to where one is today in the input feature space.…

Artificial Intelligence · Computer Science 2025-09-12 Tin Trung Nguyen , Jiannan Xu , Zora Che , Phuong-Anh Nguyen-Le , Rushil Dandamudi , Donald Braman , Furong Huang , Hal Daumé , Zubin Jelveh

Using a model of the environment and a value function, an agent can construct many estimates of a state's value, by unrolling the model for different lengths and bootstrapping with its value function. Our key insight is that one can treat…

Energy is no doubt an intuitive concept. Following a previous analysis on the nature of elementary particles and associated elementary quantum fields, the peculiar status and role of energy is scrutinised further at elementary and larger…

The classical energy conditions are known to not be fundamental physics -- they are typically violated by semiclassical quantum effects. Consequently, some effort has gone into finding possible semiclassical replacements for the classical…

General Relativity and Quantum Cosmology · Physics 2013-09-25 Prado Martin-Moruno , Matt Visser

Modeling distributions of covariates, or density estimation, is a core challenge in unsupervised learning. However, the majority of work only considers the joint distribution, which has limited utility in practical situations. A more…

Machine Learning · Computer Science 2021-10-28 Ryan R. Strauss , Junier B. Oliva

Over the past four decades, efforts have been made to develop and evaluate models for Empirical Translation Process Research (TPR), yet a comprehensive framework remains elusive. This article traces the evolution of empirical TPR within the…

Computation and Language · Computer Science 2023-08-04 Michael Carl

Collective intelligence emerges across biological, physical, and artificial systems without central coordination, yet a unifying principle governing such behaviour remains elusive. The Free Energy Principle explains how individual agents…

Artificial Intelligence · Computer Science 2026-05-01 Djamel Bouchaffra , Faycal Ykhlef , Mustapha Lebbah , Hanane Azzag

Efficient exploration remains a challenging problem in reinforcement learning, especially for those tasks where rewards from environments are sparse. A commonly used approach for exploring such environments is to introduce some "intrinsic"…

Machine Learning · Computer Science 2020-07-16 Neale Ratzlaff , Qinxun Bai , Li Fuxin , Wei Xu

Very recently, Verlinde considered a theory in which space is emergent through a holographic scenario, and proposed that gravity can be explained as an entropic force caused by changes in the information associated with the positions of…

General Relativity and Quantum Cosmology · Physics 2010-08-17 Hao Wei

Statistical inference from data is a foundational task in science. Recently, it has received growing attention for its central role in inference systems of primary interest in data sciences and machine learning. However, the understanding…

Statistical Mechanics · Physics 2022-10-12 Hyun Keun Lee , Chulan Kwon , Yong Woon Kim

Branching Time Active Inference (Champion et al., 2021b,a) is a framework proposing to look at planning as a form of Bayesian model expansion. Its root can be found in Active Inference (Friston et al., 2016; Da Costa et al., 2020; Champion…

Machine Learning · Computer Science 2021-12-15 Théophile Champion , Marek Grześ , Howard Bowman

To analyze the uncertain data frequently encountered in practice, this paper proposes novel fixed-effects models that incorporate an uncertain measure to investigate variables of interest and nuisance variables in factor designs. First, an…

Methodology · Statistics 2026-03-18 Fan Zhang , Zhiming Li

Fluid-solid interfacial free energy (IFE) is a fundamental parameter influencing wetting behaviors, which play a crucial role across a broad range of industrial applications. Obtaining reliable data for fluid-solid IFE remains challenging…

Chemical Physics · Physics 2024-11-18 Yafan Yang , Arun Kumar Narayanan Nair , Shuyu Sun , Denvid Lau

The Jarzynski equality (JE) provides a nonequilibrium method to measure and calculate the free energy difference (FED). Note that if two systems share the same Hamiltonian at two equilibrium states, respectively, they share the same FED…

Statistical Mechanics · Physics 2020-07-16 Liyun Zhu , Jiao Wang

The Gravity from Entropy (GfE) action posits that gravity that is fundamentally given by the information encoded in the interplay between matter and geometry. The GfE Lagrangian is given by the Geometric Quantum Relative Entropy (GQRE)…

General Relativity and Quantum Cosmology · Physics 2026-05-12 Ginestra Bianconi

Active inference is a normative principle underwriting perception, action, planning, decision-making and learning in biological or artificial agents. From its inception, its associated process theory has grown to incorporate complex…

Neurons and Cognition · Quantitative Biology 2021-02-02 Lancelot Da Costa , Thomas Parr , Noor Sajid , Sebastijan Veselic , Victorita Neacsu , Karl Friston

"Intrinsic motivation" refers to the capacity for intelligent systems to be motivated endogenously, i.e. by features of agential architecture itself rather than by learned associations between action and reward. This paper views active…

Neurons and Cognition · Quantitative Biology 2025-02-14 Alex B. Kiefer