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The Free Energy Principle (FEP) describes (biological) agents as minimising a variational Free Energy (FE) with respect to a generative model of their environment. Active Inference (AIF) is a corollary of the FEP that describes how agents…

Machine Learning · Statistics 2025-01-03 Thijs van de Laar , Magnus Koudahl , Bert de Vries

Mixed-effects regression models represent a useful subclass of regression models for grouped data; the introduction of random effects allows for the correlation between observations within each group to be conveniently captured when…

Methodology · Statistics 2024-09-25 Jackson Zhou , John T. Ormerod , Clara Grazian

We propose a formulation of adaptive computation of free energy differences, in the ABF or nonequilibrium metadynamics spirit, using conditional distributions of samples of configurations which evolve in time. This allows to present a truly…

Statistical Mechanics · Physics 2015-06-25 Tony Lelievre , Mathias Rousset , Gabriel Stoltz

We propose a Pretrained Finite Element Method (PFEM),a physics driven framework that bridges the efficiency of neural operator learning with the accuracy and robustness of classical finite element methods (FEM). PFEM consists of a physics…

Protein structure prediction has been a grand challenge for over 50 years, owing to its broad scientific and application interests. There are two primary types of modeling algorithms, template-free modeling and template-based modeling. The…

Biological Physics · Physics 2021-06-01 Liangzhen Zheng , Haidong Lan , Tao Shen , Jiaxiang Wu , Sheng Wang , Wei Liu , Junzhou Huang

In Spectrum cartography (SC), the generation of exposure maps for radio frequency electromagnetic fields (RF-EMF) spans dimensions of frequency, space, and time, which relies on a sparse collection of sensor data, posing a challenging…

Machine Learning · Computer Science 2025-04-08 Mohammed Mallik , Davy P. Gaillot , Laurent Clavier

The free energy principle (FEP) in the neurosciences stipulates that all viable agents induce and minimize informational free energy in the brain to fit their environmental niche. In this study, we continue our effort to make the FEP a more…

Neurons and Cognition · Quantitative Biology 2021-01-25 Chang Sub Kim

Deep energy-based models are powerful, but pose challenges for learning and inference (Belanger and McCallum, 2016). Tu and Gimpel (2018) developed an efficient framework for energy-based models by training "inference networks" to…

Computation and Language · Computer Science 2020-10-13 Lifu Tu , Richard Yuanzhe Pang , Kevin Gimpel

The Exact Matching (EM) problem asks whether there exists a perfect matching which uses a prescribed number of red edges in a red/blue edge-colored graph. While there exists a randomized polynomial-time algorithm for the problem, only some…

Data Structures and Algorithms · Computer Science 2025-10-15 Nicolas El Maalouly , Kostas Lakis

Over the last years, several works have explored the application of deep learning algorithms to determine the large-scale signal fading (also referred to as ``path loss'') between transmitter and receiver pairs in urban communication…

Networking and Internet Architecture · Computer Science 2024-10-28 Fabian Jaensch , Giuseppe Caire , Begüm Demir

Power System Resource Planning is the recurrent process of studying and determining what facilities and procedures should be provided to satisfy and promote appropriate future demands for electricity. The electric power system as planned…

Systems and Control · Electrical Eng. & Systems 2024-01-24 Sohom Datta

Energy-based models (EBMs) offer a flexible framework for probabilistic modelling across various data domains. However, training EBMs on data in discrete or mixed state spaces poses significant challenges due to the lack of robust and fast…

Machine Learning · Statistics 2024-12-03 Tobias Schröder , Zijing Ou , Yingzhen Li , Andrew B. Duncan

Structural learning, a method to estimate the parameters for discrete energy minimization, has been proven to be effective in solving computer vision problems, especially in 3D scene parsing. As the complexity of the models increases,…

Computer Vision and Pattern Recognition · Computer Science 2017-01-13 Mengtian Li , Daniel Huber

Temporal planning offers numerous advantages when based on an expressive representation. Timelines have been known to provide the required expressiveness but at the cost of search efficiency. We propose here a temporal planner, called FAPE,…

Artificial Intelligence · Computer Science 2020-10-27 Arthur Bit-Monnot , Malik Ghallab , Félix Ingrand , David E. Smith

Estimating the free energy in molecular simulation requires, implicitly or explicitly, counting how many times the system is observed in a finite region. If the simulation is biased by an external potential, the weight of the configurations…

Chemical Physics · Physics 2021-12-22 Matteo Carli , Alessandro Laio

Trajectory prediction methods have demonstrated remarkable capabilities in capturing complex motion patterns. However, existing methods rely on global state assumptions, suffer from insufficient belief inference under partial observability,…

Artificial Intelligence · Computer Science 2026-05-26 Yanping Wu , Ji Zhang , Hao Chen , Edmond S. L. Ho , Chongfeng Wei

In federated learning (FL), accommodating clients with diverse resource constraints remains a significant challenge. A widely adopted approach is to use a shared full-size model, from which each client extracts a submodel aligned with its…

Machine Learning · Computer Science 2026-04-14 Wenfei Liang , Wee Peng Tay

We investigate the problem of approximate Bayesian inference for a general class of observation models by means of the expectation propagation (EP) framework for large systems under some statistical assumptions. Our approach tries to…

Information Theory · Computer Science 2016-08-24 Burak Çakmak , Manfred Opper , Bernard H. Fleury , Ole Winther

In the context of signal detection in the presence of an unknown time-varying channel parameter, receivers based on the Expectation Propagation (EP) framework appear to be very promising. EP is a message-passing algorithm based on factor…

Signal Processing · Electrical Eng. & Systems 2024-04-09 Elisa Conti , Armando Vannucci , Amina Piemontese , Giulio Colavolpe

A fundamental problem in modern supervised learning is computing reliable conditional prediction intervals in high-dimensional settings: existing methods often rely on restrictive modelling assumptions, do not scale as predictor dimension…

Machine Learning · Statistics 2026-02-24 Daniel Salnikov , Dan Leonte , Kevin Michalewicz
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