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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

Forecasting electricity demand is increasingly challenging as energy systems become more decentralized and intertwined with renewable sources. Graph Neural Networks (GNNs) have recently emerged as a powerful paradigm to model spatial…

Machine Learning · Computer Science 2025-11-04 Eloi Campagne , Yvenn Amara-Ouali , Yannig Goude , Itai Zehavi , Argyris Kalogeratos

The training of neural networks is a complex, high-dimensional, non-convex and noisy optimization problem whose theoretical understanding is interesting both from an applicative perspective and for fundamental reasons. A core challenge is…

Statistical Mechanics · Physics 2023-04-19 Theo Jules , Gal Brener , Tal Kachman , Noam Levi , Yohai Bar-Sinai

Quantifying predictive uncertainty is essential for real world machine learning applications, especially in scenarios requiring reliable and interpretable predictions. Many common parametric approaches rely on neural networks to estimate…

Machine Learning · Statistics 2026-03-31 Yang Yang , Chunlin Ji , Haoyang Li , Ke Deng

Accurate simulation of granular flow dynamics is crucial for assessing various geotechnical risks, including landslides and debris flows. Granular flows involve a dynamic rearrangement of particles exhibiting complex transitions from…

Geophysics · Physics 2023-12-13 Yongjin Choi , Krishna Kumar

The prediction of dynamical stability of power grids becomes more important and challenging with increasing shares of renewable energy sources due to their decentralized structure, reduced inertia and volatility. We investigate the…

As a relatively new field, network neuroscience has tended to focus on aggregate behaviours of the brain averaged over many successive experiments or over long recordings in order to construct robust brain models. These models are limited…

Neurons and Cognition · Quantitative Biology 2022-05-19 James Wilsenach , Katie Warnaby , Charlotte M. Deane , Gesine Reinert

Deep learning has made significant improvements at many image processing tasks in recent years, such as image classification, object recognition and object detection. Convolutional neural networks (CNN), which is a popular deep learning…

Computer Vision and Pattern Recognition · Computer Science 2018-05-16 T. Ceren Deveci , Serdar Cakir , A. Enis Cetin

Energy-based models have become a central paradigm for understanding computation and stability in both theoretical neuroscience and machine learning. However, the energetic framework typically relies on symmetry in synaptic or weight…

Neurons and Cognition · Quantitative Biology 2025-12-08 Simone Betteti , William Retnaraj , Alexander Davydov , Jorge Cortés , Francesco Bullo

Spiking Neural Networks (SNNs) promise higher energy efficiency over conventional Quantized Artificial Neural Networks (QNNs) due to their event-driven, spike-based computation. However, prevailing energy evaluations often oversimplify,…

Neural and Evolutionary Computing · Computer Science 2026-05-13 Zhanglu Yan , Zhenyu Bai , Weng-Fai Wong

To celebrate Hans Frauenfelder's achievements, we examine energy(-like) "landscapes" for complex living systems. Energy landscapes summarize all possible dynamics of some physical systems. Energy(-like) landscapes can explain some…

Quantitative Methods · Quantitative Biology 2021-10-18 Lars Koopmans , Hyun Youk

Learning continuous-time dynamics on complex networks is crucial for understanding, predicting and controlling complex systems in science and engineering. However, this task is very challenging due to the combinatorial complexities in the…

Social and Information Networks · Computer Science 2020-06-19 Chengxi Zang , Fei Wang

Energy-based models (EBMs) have experienced a resurgence within machine learning in recent years, including as a promising alternative for probabilistic regression. However, energy-based regression requires a proposal distribution to be…

Machine Learning · Computer Science 2023-11-08 Fredrik K. Gustafsson , Martin Danelljan , Thomas B. Schön

The computational properties of neural systems are often thought to be implemented in terms of their network dynamics. Hence, recovering the system dynamics from experimentally observed neuronal time series, like multiple single-unit (MSU)…

Neurons and Cognition · Quantitative Biology 2017-07-05 Daniel Durstewitz

Accurate forecasting of renewable energy generation is essential for efficient grid management and sustainable power planning. However, traditional supervised models often require access to labeled data from the target site, which may be…

Machine Learning · Computer Science 2026-03-03 Abderaouf Bahi , Amel Ourici , Ibtissem Gasmi , Aida Derrablia , Warda Deghmane , Mohamed Amine Ferrag

Model-based planning holds great promise for improving both sample efficiency and generalization in reinforcement learning (RL). We show that energy-based models (EBMs) are a promising class of models to use for model-based planning. EBMs…

Machine Learning · Computer Science 2021-03-09 Yilun Du , Toru Lin , Igor Mordatch

Accurate fMRI analysis requires sensitivity to temporal structure across multiple scales, as BOLD signals encode cognitive processes that emerge from fast transient dynamics to slower, large-scale fluctuations. Existing deep learning (DL)…

Signal Processing · Electrical Eng. & Systems 2026-01-06 Furkan Genç , Boran İsmet Macun , Sait Sarper Özaslan , Emine U. Saritas , Tolga Çukur

High-dimensional chaotic dynamics can emerge in a large random recurrent neural network when the synaptic gain crosses a threshold. Recent works showed that the kinetic energy of neural activity links the chaotic dynamics and the supporting…

Statistical Mechanics · Physics 2026-02-17 Li-Ru Zhang , Haiping Huang

fMRI is a non-invasive technique for investigating brain activity, offering high-resolution insights into neural processes. Understanding and decoding cognitive brain states from fMRI depends on how functional interactions are represented.…

Neurons and Cognition · Quantitative Biology 2026-02-23 Daniil Vlasenko , Vadim Ushakov , Alexey Zaikin , Denis Zakharov

Objective Kalman filtering has previously been applied to track neural model states and parameters, particularly at the scale relevant to EEG. However, this approach lacks a reliable method to determine the initial filter conditions and…