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Activity difference based learning algorithms-such as contrastive Hebbian learning and equilibrium propagation-have been proposed as biologically plausible alternatives to error back-propagation. However, on traditional digital chips these…

Machine Learning · Computer Science 2023-06-08 Rasmus Høier , D. Staudt , Christopher Zach

Error feedback (EF), also known as error compensation, is an immensely popular convergence stabilization mechanism in the context of distributed training of supervised machine learning models enhanced by the use of contractive communication…

Machine Learning · Computer Science 2021-06-10 Peter Richtárik , Igor Sokolov , Ilyas Fatkhullin

We introduce Equilibrium Matching (EqM), a generative modeling framework built from an equilibrium dynamics perspective. EqM discards the non-equilibrium, time-conditional dynamics in traditional diffusion and flow-based generative models…

Machine Learning · Computer Science 2025-10-14 Runqian Wang , Yilun Du

Additive parameter updates, as used in gradient descent and its adaptive extensions, underpin most modern machine-learning optimization. Yet, such additive schemes often demand numerous iterations and intricate learning-rate schedules to…

Machine Learning · Computer Science 2026-03-25 Han Kim , Hyungjoon Soh , Vipul Periwal , Junghyo Jo

This position paper argues that next-generation non-equilibrium-inspired generative models will provide the essential foundation for better modeling real-world complex dynamical systems. While many classical generative algorithms draw…

Computational Engineering, Finance, and Science · Computer Science 2025-05-27 Jiazhen Liu , Ruikun Li , Huandong Wang , Zihan Yu , Chang Liu , Jingtao Ding , Yong Li

In this work, we extend the Equilibrium Propagation framework to skew-gradient systems and show an equivalence between deep Energy-Based Models and Hamiltonian neural networks. We focus on networks of diffusively coupled Fitzhugh-Nagumo…

Machine Learning · Computer Science 2026-05-22 Jack Kendall

We consider a large population of learning agents noncooperatively selecting strategies from a common set, influencing the dynamics of an exogenous system (ES) we seek to stabilize at a desired equilibrium. Our approach is to design a…

Systems and Control · Electrical Eng. & Systems 2024-09-17 Jair Certório , Nuno C. Martins , Richard J. La , Murat Arcak

Continuous control of non-stationary environments is a major challenge for deep reinforcement learning algorithms. The time-dependency of the state transition dynamics aggravates the notorious stability problems of model-free deep…

Machine Learning · Computer Science 2025-11-05 Abdullah Akgül , Gulcin Baykal , Manuel Haußmann , Melih Kandemir

We present the particle stochastic approximation EM (PSAEM) algorithm for learning of dynamical systems. The method builds on the EM algorithm, an iterative procedure for maximum likelihood inference in latent variable models. By combining…

Computation · Statistics 2019-12-11 Andreas Lindholm , Fredrik Lindsten

Memristor-based in-memory computing has emerged as a promising paradigm to overcome the constraints of the von Neumann bottleneck and the memory wall by enabling fully parallelisable and energy-efficient vector-matrix multiplications. We…

Machine Learning · Computer Science 2026-02-18 Michael Döll , Andreas Müller , Bernd Ulmann

In this work we show that Evolution Strategies (ES) are a viable method for learning non-differentiable parameters of large supervised models. ES are black-box optimization algorithms that estimate distributions of model parameters; however…

Neural and Evolutionary Computing · Computer Science 2019-06-10 Karel Lenc , Erich Elsen , Tom Schaul , Karen Simonyan

We propose a novel framework for analyzing the dynamics of distribution shift in real-world systems that captures the feedback loop between learning algorithms and the distributions on which they are deployed. Prior work largely models…

Machine Learning · Computer Science 2023-10-31 Lauren Conger , Franca Hoffmann , Eric Mazumdar , Lillian Ratliff

We propose a novel approach for nonlinear regression using a two-layer neural network (NN) model structure with sparsity-favoring hierarchical priors on the network weights. We present an expectation propagation (EP) approach for…

Machine Learning · Statistics 2015-01-23 Pasi Jylänki , Aapo Nummenmaa , Aki Vehtari

Accurate dynamic modeling of power systems is essential to assess the stability of electrical power systems when faced with disturbances, which can trigger cascading failures leading to blackouts. A continuum model proves to be effective in…

Systems and Control · Electrical Eng. & Systems 2023-11-22 Somayeh Yarahmadi , Daniel Adrian Maldonado , Lamine Mili , Junbo Zhao , Mihai Anitescu

We derive a general expression for the electron nonequilibrium (NE) distribution function in the context of steady state quantum transport through a two-terminal nanodevice with interaction. The central idea for the use of NE distributions…

Mesoscale and Nanoscale Physics · Physics 2014-02-26 H. Ness

Expectation Propagation (EP) provides a framework for approximate inference. When the model under consideration is over a latent Gaussian field, with the approximation being Gaussian, we show how these approximations can systematically be…

Machine Learning · Statistics 2013-10-28 Manfred Opper , Ulrich Paquet , Ole Winther

Consider learning a policy purely on the basis of demonstrated behavior -- that is, with no access to reinforcement signals, no knowledge of transition dynamics, and no further interaction with the environment. This *strictly batch…

Machine Learning · Statistics 2021-01-15 Daniel Jarrett , Ioana Bica , Mihaela van der Schaar

This paper develops KL-Ergodic Exploration from Equilibrium ($\text{KL-E}^3$), a method for robotic systems to integrate stability into actively generating informative measurements through ergodic exploration. Ergodic exploration enables…

Robotics · Computer Science 2020-12-08 Ian Abraham , Ahalya Prabhakar , Todd D. Murphey

Entropic dynamics (ED) is a general framework for constructing indeterministic dynamical models based on entropic methods. ED has been used to derive or reconstruct both non-relativistic quantum mechanics and quantum field theory in curved…

General Relativity and Quantum Cosmology · Physics 2020-07-14 Selman Ipek , Ariel Caticha

Exponential family distributions are highly useful in machine learning since their calculation can be performed efficiently through natural parameters. The exponential family has recently been extended to the t-exponential family, which…

Machine Learning · Statistics 2017-05-30 Futoshi Futami , Issei Sato , Masashi Sugiyama