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We develop a novel data-driven approach to the inverse problem of classical statistical mechanics: given experimental data on the collective motion of a classical many-body system, how does one characterise the free energy landscape of that…

Statistical Mechanics · Physics 2022-03-01 Peter Yatsyshin , Serafim Kalliadasis , Andrew B. Duncan

Auto Feature Engineering (AFE) plays a crucial role in developing practical machine learning pipelines by automating the transformation of raw data into meaningful features that enhance model performance. By generating features in a…

Machine Learning · Statistics 2024-10-29 Tatsuya Matsukawa , Tomohiro Shiraishi , Shuichi Nishino , Teruyuki Katsuoka , Ichiro Takeuchi

Rare events are central to the evolution of complex many-body systems, characterized as key transitional configurations on the free energy surface (FES). Conventional methods require adequate sampling of rare event transitions to obtain the…

Computational Physics · Physics 2026-04-14 Shuo-Hui Li , Chen Chen , Yao-Wen Zhang , Ding Pan

Effective Field Theory (EFT) is the successful paradigm underlying modern theoretical physics, including the "Core Theory" of the Standard Model of particle physics plus Einstein's general relativity. I will argue that EFT grants us a…

History and Philosophy of Physics · Physics 2021-01-21 Sean M. Carroll

The free energy principle (FEP) from neuroscience provides a framework called active inference for the joint estimation and control of state space systems, subjected to colored noise. However, the active inference community has been…

Systems and Control · Electrical Eng. & Systems 2022-04-06 Ajith Anil Meera , Martijn Wisse

In graphical models, factor graphs, and more generally energy-based models, the interactions between variables are encoded by a graph, a hypergraph, or, in the most general case, a partially ordered set (poset). Inference on such…

Machine Learning · Statistics 2025-10-08 Grégoire Sergeant-Perthuis , Léo Boitel

The effective energy of a superconductor $E_{eff}(T)$ at temperature $T$ is defined as the difference between the total energy at temperature $T$ and the total energy at 0~K. We call the energy of the condensate, ${\mathcal E}_c$, the…

Superconductivity · Physics 2016-06-22 Dragos-Victor Anghel , George Alexandru Nemnes

This technical note considers the sampling of outcomes that provide the greatest amount of information about the structure of underlying world models. This generalisation furnishes a principled approach to structure learning under a…

Neurons and Cognition · Quantitative Biology 2025-12-25 Karl Friston , Lancelot Da Costa , Alexander Tschantz , Conor Heins , Christopher Buckley , Tim Verbelen , Thomas Parr

In this paper we show how The Free Energy Principle (FEP) can provide an explanation for why real-world networks deviate from scale-free behaviour, and how these characteristic deviations can emerge from constraints on information…

Social and Information Networks · Computer Science 2025-02-19 Peter R Williams , Zhan Chen

To handle unintended changes in the environment by agents, we propose an environment-centric active inference EC-AIF in which the Markov Blanket of active inference is defined starting from the environment. In normal active inference, the…

Robotics · Computer Science 2024-08-26 Kanako Esaki , Tadayuki Matsumura , Takeshi Kato , Shunsuke Minusa , Yang Shao , Hiroyuki Mizuno

Conventionally defined free-energy landscape (FEL) exhibits unphysical dependence on the choice of reaction coordinates and hence lacks universal predictive ability. We here show that three physically plausible requirements uniquely…

Statistical Mechanics · Physics 2024-03-01 Takenobu Nakamura

Conscious experience is awash with underlying relationships. Moreover, for various brain regions such as the visual cortex, the system is biased toward some states. Representing this bias using a probability distribution shows that the…

Neurons and Cognition · Quantitative Biology 2015-08-11 Jonathan Mason

The challenge of solving data mining problems in e-commerce applications such as recommendation system (RS) and click-through rate (CTR) prediction is how to make inferences by constructing combinatorial features from a large number of…

Machine Learning · Computer Science 2021-10-20 Zhenyuan Zhong , Jie Yang , Yacong Ma , Shoubin Dong , Jinlong Hu

We present an efficient and systematically convergent approach to all-electron real-time time-dependent density functional theory (TDDFT) calculations using a mixed basis, termed as enriched finite element (EFE) basis. The EFE basis…

Chemical Physics · Physics 2022-10-27 Bikash Kanungo , Nelson D. Rufus , Vikram Gavini

Currently, the world experiences an unprecedentedly increasing generation of application data, from sensor measurements to video streams, thanks to the extreme connectivity capability provided by 5G networks. Going beyond 5G technology,…

Signal Processing · Electrical Eng. & Systems 2022-04-21 Mattia Merluzzi , Miltiadis C. Filippou , Leonardo Gomes Baltar , Emilio Calvanese Strinati

Strategic multi-agent systems are fundamentally characterized by decentralization, uncertainty, and ambiguity. Agents operating under limited observations will often need to make decisions based on simplified internal models of the…

Computer Science and Game Theory · Computer Science 2026-05-21 Aya Hamed , Jason R. Marden , Jeff S. Shamma

This paper develops a systematic framework for analyzing how low frequency forced oscillations propagate in electric power systems. Using this framework, the paper shows how to mathematically justify the so-called Dissipating Energy Flow…

Systems and Control · Electrical Eng. & Systems 2020-01-06 Samuel Chevalier , Petr Vorobev , Konstantin Turitsyn

Active Inference, grounded in the Free Energy Principle, provides a powerful lens for understanding how agents balance exploration and goal-directed behavior in uncertain environments. Here, we propose a new planning framework, that…

Artificial Intelligence · Computer Science 2025-01-27 Mawaba Pascal Dao , Adrian M. Peter

Active inference is a probabilistic framework for modelling the behaviour of biological and artificial agents, which derives from the principle of minimising free energy. In recent years, this framework has successfully been applied to a…

Artificial Intelligence · Computer Science 2022-07-13 Lancelot Da Costa , Noor Sajid , Thomas Parr , Karl Friston , Ryan Smith

Effective and intelligent exploration has been an unresolved problem for reinforcement learning. Most contemporary reinforcement learning relies on simple heuristic strategies such as $\epsilon$-greedy exploration or adding Gaussian noise…

Machine Learning · Computer Science 2025-12-19 Muhammad Usama , Dong Eui Chang