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The inference of correlated signal fields with unknown correlation structures is of high scientific and technological relevance, but poses significant conceptual and numerical challenges. To address these, we develop the correlated signal…

Machine Learning · Statistics 2017-02-15 Torsten A. Enßlin , Jakob Knollmüller

For a given electronic excited state, the 0-0 energy ($T_0$ or $T_{00}$) is the simplest property allowing straightforward and physically-sound comparisons between theory and (accurate) experiment. However, the computation of 0-0 energies…

Chemical Physics · Physics 2020-06-05 Pierre-François Loos , Denis Jacquemin

We present an approach that extends the theory of targeted free energy perturbation (TFEP) to calculate free energy differences and free energy surfaces at an accurate quantum mechanical level of theory from a cheaper reference potential.…

Computational Physics · Physics 2021-11-15 Andrea Rizzi , Paolo Carloni , Michele Parrinello

In this thesis we study energy forms. These are quadratic forms on the space of real-valued measurable $m$-a.e. determined functions $$E:L^0(m) \to [0,\infty],$$ which assign to a measurable function $f$ its energy $E(f)$. Their two…

Functional Analysis · Mathematics 2017-03-16 Marcel Schmidt

Exergy is a very important thermodynamic quantity in several fields such as economy, engineering, ecology and yet it has attracted little attention in pure physics. One of the main problems of the currently used definition of exergy is its…

Statistical Mechanics · Physics 2023-04-28 F. Becattini

Long-range correlations are essential across numerous machine learning tasks, especially for data embedded in Euclidean space, where the relative positions and orientations of distant components are often critical for accurate predictions.…

Machine Learning · Computer Science 2025-09-30 J. Thorben Frank , Stefan Chmiela , Klaus-Robert Müller , Oliver T. Unke

The problem of allocating indivisible resources to agents arises in a wide range of domains, including treatment distribution and social support programs. An important goal in algorithm design for this problem is fairness, where the focus…

Computer Science and Game Theory · Computer Science 2026-02-17 Niclas Boehmer , Luca Kreisel

We examine the claimed observations of a gravitational external field effect (EFE) reported in Chae et al. We show that observations suggestive of the EFE can be interpreted without violating Einstein's equivalence principle, namely from…

General Relativity and Quantum Cosmology · Physics 2025-11-11 Corey Sargent , William Clark , Antonia Seifert , Alicia Mand , Emerson Rogers , Adam Lane , Alexandre Deur , Balša Terzić

Within the effective average action approach to quantum gravity, we recover the low energy effective action as derived in the effective field theory framework, by studying the flow of possibly non-local form factors that appear in the…

High Energy Physics - Theory · Physics 2014-11-21 A. Satz , A. Codello , F. D. Mazzitelli

We develop an active inference route-planning method for the autonomous control of intelligent agents. The aim is to reconnoiter a geographical area to maintain a common operational picture. To achieve this, we construct an evidence map…

Artificial Intelligence · Computer Science 2025-10-21 Johan Schubert , Farzad Kamrani , Tove Gustavi

We present the design of an autoregressive active inference agent in the form of message passing on a factor graph. Expected free energy is derived and distributed across a planning graph. The proposed agent is validated on a robot…

Artificial Intelligence · Computer Science 2026-01-21 Wouter M. Kouw , Tim N. Nisslbeck , Wouter L. N. Nuijten

The free energy functional has recently been proposed as a variational principle for bounded rational decision-making, since it instantiates a natural trade-off between utility gains and information processing costs that can be…

Machine Learning · Statistics 2012-05-18 Pedro A. Ortega , Daniel A. Braun

Zero frequency zonal flow (ZFZF) excitation by trapped energetic electron driven beta-induced Alfven eigenmode (eBAE) is investigated using nonlinear gyrokinetic theory. It is found that, during the linear growth stage of eBAE, resonant…

Plasma Physics · Physics 2023-07-19 Zhiyong Qiu , Liu Chen , Fulvio Zonca , Ruirui Ma

Active inference proposes expected free energy as an objective for planning and decision-making to adequately balance exploitative and explorative drives in learning agents. The exploitative drive, or what an agent wants to achieve, is…

Artificial Intelligence · Computer Science 2025-12-04 Filippo Torresan , Ryota Kanai , Manuel Baltieri

This paper presents a model of consciousness that follows directly from the free-energy principle (FEP). We first rehearse the classical and quantum formulations of the FEP. In particular, we consider the inner screen hypothesis that…

Neurons and Cognition · Quantitative Biology 2024-01-03 Maxwell J. D. Ramstead , Mahault Albarracin , Alex Kiefer , Brennan Klein , Chris Fields , Karl Friston , Adam Safron

Fractional exclusion statistics (FES) is a generalization of the Bose and Fermi statistics. Typically, systems of interacting particles are described as ideal FES systems and the properties of the FES systems are calculated from the…

Statistical Mechanics · Physics 2013-10-10 Dragos-Victor Anghel

We present a categorical formulation of the cognitive frameworks of Predictive Processing and Active Inference, expressed in terms of string diagrams interpreted in a monoidal category with copying and discarding. This includes diagrammatic…

Category Theory · Mathematics 2023-08-03 Sean Tull , Johannes Kleiner , Toby St Clere Smithe

Active inference is a first principle account of how autonomous agents operate in dynamic, non-stationary environments. This problem is also considered in reinforcement learning (RL), but limited work exists on comparing the two approaches…

Artificial Intelligence · Computer Science 2021-02-15 Noor Sajid , Philip J. Ball , Thomas Parr , Karl J. Friston

Econophysics is a science in its infancy, born about ten years ago at this time of writing, at the crossing roads of physics, mathematics, computing and of course economics and finance. It also covers human sciences, because all economics…

Physics and Society · Physics 2012-09-25 Marcel Ausloos

The theoretical framework of hard exclusive reactions is reviewed with special emphasis on the Elfe project program. Perturbative QCD studies have shown that factorization properties allow to separate well-defined non perturbative objects…

High Energy Physics - Phenomenology · Physics 2009-09-25 Bernard PIRE
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