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It is widely believed that the backpropagation algorithm is essential for learning good feature detectors in early layers of artificial neural networks, so that these detectors are useful for the task performed by the higher layers of that…

Machine Learning · Computer Science 2019-08-30 Dmitry Krotov , John Hopfield

In this paper, we introduce Hebbian learning as a novel method for swarm robotics, enabling the automatic emergence of heterogeneity. Hebbian learning presents a biologically inspired form of neural adaptation that solely relies on local…

Neural and Evolutionary Computing · Computer Science 2025-07-17 Fuda van Diggelen , Tugay Alperen Karagüzel , Andres Garcia Rincon , A. E. Eiben , Dario Floreano , Eliseo Ferrante

Local learning rules in biological neural networks (BNNs) are commonly referred to as Hebbian learning. [26] links a biologically motivated Hebbian learning rule to a specific zeroth-order optimization method. In this work, we study a…

Statistics Theory · Mathematics 2023-11-08 Johannes Schmidt-Hieber , Wouter M Koolen

We present a mathematical analysis of the effects of Hebbian learning in random recurrent neural networks, with a generic Hebbian learning rule including passive forgetting and different time scales for neuronal activity and learning…

Chaotic Dynamics · Physics 2008-04-07 Benoit Siri , Hugues Berry , Bruno Cessac , Bruno Delord , Mathias Quoy

The "fire together, wire together" Hebbian model is a central principle for learning in neuroscience, but surprisingly, it has found limited applicability in modern machine learning. In this paper, we take a first step towards bridging this…

Machine Learning · Computer Science 2016-11-15 Aseem Wadhwa , Upamanyu Madhow

Hebbian learning is a key principle underlying learning in biological neural networks. We relate a Hebbian spike-timing-dependent plasticity rule to noisy gradient descent with respect to a non-convex loss function on the probability…

Machine Learning · Computer Science 2026-01-14 Niklas Dexheimer , Sascha Gaudlitz , Johannes Schmidt-Hieber

We study episodic reinforcement learning in Markov decision processes when the agent receives additional feedback per step in the form of several transition observations. Such additional observations are available in a range of tasks…

Machine Learning · Computer Science 2020-05-11 Christoph Dann , Yishay Mansour , Mehryar Mohri , Ayush Sekhari , Karthik Sridharan

In this article we intoduce a novel stochastic Hebb-like learning rule for neural networks that is neurobiologically motivated. This learning rule combines features of unsupervised (Hebbian) and supervised (reinforcement) learning and is…

Disordered Systems and Neural Networks · Physics 2009-11-11 Frank Emmert-Streib

Gradient-based meta-learning has proven to be highly effective at learning model initializations, representations, and update rules that allow fast adaptation from a few samples. The core idea behind these approaches is to use fast…

Machine Learning · Computer Science 2019-10-07 Khurram Javed , Hengshuai Yao , Martha White

We study the problem of learning an unknown function using random feature models. Our main contribution is an exact asymptotic analysis of such learning problems with Gaussian data. Under mild regularity conditions for the feature matrix,…

Information Theory · Computer Science 2020-08-28 Oussama Dhifallah , Yue M. Lu

Artificial neural networks have successfully tackled a large variety of problems by training extremely deep networks via back-propagation. A direct application of back-propagation to spiking neural networks contains biologically implausible…

Neural and Evolutionary Computing · Computer Science 2021-11-29 Kyle Daruwalla , Mikko Lipasti

Animals can learn efficiently from a single experience and change their future behavior in response. However, in other instances, animals learn very slowly, requiring thousands of experiences. Here I survey tasks involving fast and slow…

Neurons and Cognition · Quantitative Biology 2022-05-05 Markus Meister

Quadratic programming is a workhorse of modern nonlinear optimization, control, and data science. Although regularized methods offer convergence guarantees under minimal assumptions on the problem data, they can exhibit the slow…

Optimization and Control · Mathematics 2026-05-18 Jeremy Bertoncini , Alberto De Marchi , Matthias Gerdts , Simon Gottschalk

Reinforcement learning is a general method for learning in sequential settings, but it can often be difficult to specify a good reward function when the task is complex. In these cases, preference feedback or expert demonstrations can be…

Machine Learning · Computer Science 2025-08-20 Jason R Brown , Carl Henrik Ek , Robert D Mullins

In the classic herding model, agents receive private signals about an underlying binary state of nature, and act sequentially to choose one of two possible actions, after observing the actions of their predecessors. We investigate what…

Computer Science and Game Theory · Computer Science 2018-02-21 Yu Cheng , Wade Hann-Caruthers , Omer Tamuz

We consider the problem of reinforcement learning when provided with (1) a baseline control policy and (2) a set of constraints that the learner must satisfy. The baseline policy can arise from demonstration data or a teacher agent and may…

Machine Learning · Computer Science 2021-07-13 Tsung-Yen Yang , Justinian Rosca , Karthik Narasimhan , Peter J. Ramadge

In this paper, we generalize (accelerated) Newton's method with cubic regularization under inexact second-order information for (strongly) convex optimization problems. Under mild assumptions, we provide global rate of convergence of these…

Optimization and Control · Mathematics 2017-10-17 Saeed Ghadimi , Han Liu , Tong Zhang

The development of sensory receptive fields has been modeled in the past by a variety of models including normative models such as sparse coding or independent component analysis and bottom-up models such as spike-timing dependent…

Neurons and Cognition · Quantitative Biology 2017-02-08 Carlos S. N. Brito , Wulfram Gerstner

We address the problem of reinforcement learning in which observations may exhibit an arbitrary form of stochastic dependence on past observations and actions. The task for an agent is to attain the best possible asymptotic reward where the…

Machine Learning · Computer Science 2007-05-23 Daniil Ryabko , Marcus Hutter

On the basis of the general form for the energy needed to adapt the connection strengths of a network in which learning takes place, a local learning rule is found for the changes of the weights. This biologically realizable learning rule…

Disordered Systems and Neural Networks · Physics 2009-10-31 M. Heerema , W. A. van Leeuwen