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The Free Energy Principle (FEP) states that self-organizing systems must minimize variational free energy to persist, but the path from principle to implementable algorithm has remained unclear. We present a constructive proof that the FEP…

Neural and Evolutionary Computing · Computer Science 2025-10-22 Michael James McCulloch

Current state-of-the-art generative models map noise to data distributions by matching flows or scores. A key limitation of these models is their inability to readily integrate available partial observations and additional priors. In…

Free energy profiles serve as a fundamental bridge between microscopic atomic fluctuations and macroscopic thermodynamic observables. Estimating the free energy profile along a reaction coordinate, referred to as the potential of mean force…

In large-scale problems, standard reinforcement learning algorithms suffer from slow learning speed. In this paper, we follow the framework of using subspaces to tackle this problem. We propose a free-energy minimization framework for…

Machine Learning · Computer Science 2020-12-15 Milad Ghorbani , Reshad Hosseini , Seyed Pooya Shariatpanahi , Majid Nili Ahmadabadi

Free energy principle (FEP) is a burgeoning theory in theoretical neuroscience that provides a universal law for modelling living systems of any scale. Expecting a digital twin mind from this first principle, we propose a macro-level…

Neurons and Cognition · Quantitative Biology 2025-06-10 Lingyu Li , Chunbo Li

To gain panoramic awareness of spectrum coverage in complex wireless environments, data-driven learning approaches have recently been introduced for radio map estimation (RME). While existing deep learning based methods conduct RME given…

Machine Learning · Computer Science 2025-02-04 Dong Yang , Yue Wang , Songyang Zhang , Yingshu Li , Zhipeng Cai

The use of Variational Autoencoders in different Machine Learning tasks has drastically increased in the last years. They have been developed as denoising, clustering and generative tools, highlighting a large potential in a wide range of…

Machine Learning · Computer Science 2019-07-12 Helena Andrés-Terré , Pietro Lió

Solving large-scale capacity expansion problems (CEPs) is central to cost-effective decarbonization of regional-scale energy systems. To ensure the intended outcomes of CEPs, modeling uncertainty due to weather-dependent variable renewable…

Systems and Control · Electrical Eng. & Systems 2024-07-18 Aron Brenner , Rahman Khorramfar , Dharik Mallapragada , Saurabh Amin

We study a distributed learning problem in which $n$ agents, each with potentially heterogeneous local data, collaboratively minimize the sum of their local cost functions via peer-to-peer communication. We propose a novel algorithm,…

Optimization and Control · Mathematics 2025-07-29 Runze You , Shi Pu

The escalating parameter counts in modern deep learning models pose a fundamental challenge to efficient training and resolution of overfitting. We address this by introducing the \emph{Mapping Networks} which replace the high dimensional…

Computer Vision and Pattern Recognition · Computer Science 2026-02-24 Lord Sen , Shyamapada Mukherjee

Energy-Based Models (EBMs) have proven to be a highly effective approach for modelling densities on finite-dimensional spaces. Their ability to incorporate domain-specific choices and constraints into the structure of the model through…

Machine Learning · Computer Science 2023-02-24 Jen Ning Lim , Sebastian Vollmer , Lorenz Wolf , Andrew Duncan

The present paper proposes an adaptive biasing potential for the computation of free energy landscapes. It is motivated by statistical learning arguments and unifies the tasks of biasing the molecular dynamics to escape free energy wells…

Mathematical Physics · Physics 2018-03-05 I. Bilionis , P. S. Koutsourelakis

In this paper, we present a novel learning-aided energy management scheme ($\mathtt{LEM}$) for multihop energy harvesting networks. Different from prior works on this problem, our algorithm explicitly incorporates information learning into…

Optimization and Control · Mathematics 2015-03-23 Longbo Huang

Meta-learning optimizes the hyperparameters of a training procedure, such as its initialization, kernel, or learning rate, based on data sampled from a number of auxiliary tasks. A key underlying assumption is that the auxiliary tasks,…

Machine Learning · Computer Science 2021-11-10 Yunchuan Zhang , Sharu Theresa Jose , Osvaldo Simeone

We investigate the impact of limited data on training pairwise energy-based models for inverse problems aimed at identifying interaction networks. Utilizing the Gaussian model as testbed, we dissect training trajectories across the…

Machine Learning · Computer Science 2025-06-06 Giovanni Catania , Aurélien Decelle , Cyril Furtlehner , Beatriz Seoane

Variational message passing (VMP), belief propagation (BP) and expectation propagation (EP) have found their wide applications in complex statistical signal processing problems. In addition to viewing them as a class of algorithms operating…

Information Theory · Computer Science 2021-01-20 Dan Zhang , Xiaohang Song , Wenjin Wang , Gerhard Fettweis , Xiqi Gao

Buildings rarely perform as designed/simulated and and there are numerous tangible benefits if this gap is reconciled. A new scientific yet pragmatic methodology - called Enhanced Parameter Estimation (EPE) - is proposed that allows…

Systems and Control · Electrical Eng. & Systems 2021-03-15 Kris Subbarao , Srijan Didwania , T. Agami Reddy , Marlin Addison

The accurate estimation of free energy differences between two states is a long-standing challenge in molecular simulations. Traditional approaches generally rely on sampling multiple intermediate states to ensure sufficient overlap in…

Statistical Mechanics · Physics 2026-03-17 Maximilian Schebek , Jiajun He , Emil Hoffmann , Yuanqi Du , Frank Noé , Jutta Rogal

One reason that free energy difference calculations are notoriously difficult in molecular systems is due to insufficient conformational overlap, or similarity, between the two states or systems of interest. The degree of overlap is…

Biological Physics · Physics 2009-11-11 F. Marty Ytreberg , Daniel M. Zuckerman

A simple, efficient, and accurate method is proposed to map multi-dimensional free energy landscapes. The method combines the temperature-accelerated molecular dynamics (TAMD) proposed in [Maragliano & Vanden-Eijnden, Chem. Phys. Lett. 426,…

Computational Physics · Physics 2009-11-13 Luca Maragliano , Eric Vanden-Eijnden