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Markov logic networks (MLNs) reconcile two opposing schools in machine learning and artificial intelligence: causal networks, which account for uncertainty extremely well, and first-order logic, which allows for formal deduction. An MLN is…

Machine Learning · Statistics 2017-04-20 Peter Wittek , Christian Gogolin

In the past three decades, many theoretical measures of complexity have been proposed to help understand complex systems. In this work, for the first time, we place these measures on a level playing field, to explore the qualitative…

Information Theory · Computer Science 2017-08-01 Maxinder S. Kanwal , Joshua A. Grochow , Nihat Ay

In machine learning, error back-propagation in multi-layer neural networks (deep learning) has been impressively successful in supervised and reinforcement learning tasks. As a model for learning in the brain, however, deep learning has…

Machine Learning · Computer Science 2016-12-19 Thomas Mesnard , Wulfram Gerstner , Johanni Brea

Hebbian learning of excitatory synapses plays a central role in storing activity patterns in associative memory models. Furthermore, interstimulus Hebbian learning associates multiple items in the brain by converting temporal correlation to…

Neurons and Cognition · Quantitative Biology 2019-08-21 Tatsuya Haga , Tomoki Fukai

The Recurrent Neural Networks and their variants have shown promising performances in sequence modeling tasks such as Natural Language Processing. These models, however, turn out to be impractical and difficult to train when exposed to very…

Computer Vision and Pattern Recognition · Computer Science 2017-07-07 Yinchong Yang , Denis Krompass , Volker Tresp

The advent of memristive devices offers a promising avenue for efficient and scalable analog computing, particularly for linear algebra operations essential in various scientific and engineering applications. This paper investigates the…

Mesoscale and Nanoscale Physics · Physics 2025-06-23 Jonathan Lin , Frank Barrows , Francesco Caravelli

The research presented in this paper advances the integration of Hebbian learning into Convolutional Neural Networks (CNNs) for image processing, systematically exploring different architectures to build an optimal configuration, adhering…

Neural and Evolutionary Computing · Computer Science 2026-05-05 Julian Jimenez Nimmo , Esther Mondragon

We present an exact solution for the dynamics of on-line Hebbian learning in neural networks, with restricted and unrealizable training sets. In contrast to other studies on learning with restricted training sets, unrealizability is here…

Disordered Systems and Neural Networks · Physics 2009-11-07 Jun-ichi Inoue , A. C. C. Coolen

In a physical neural system, where storage and processing are intimately intertwined, the rules for adjusting the synaptic weights can only depend on variables that are available locally, such as the activity of the pre- and post-synaptic…

Machine Learning · Computer Science 2016-10-25 Pierre Baldi , Peter Sadowski

A vast majority of the current research in the field of Machine Learning is done using algorithms with strong arguments pointing to their biological implausibility such as Backpropagation, deviating the field's focus from understanding its…

Machine Learning · Computer Science 2022-10-27 Jose Miguel Ramos , Luis Sa-Couto , Andreas Wichert

Recent results in adaptive matter revived the interest in the implementation of novel devices able to perform brain-like operations. Here we introduce a training algorithm for a memristor network which is inspired in previous work on…

Emerging Technologies · Computer Science 2022-05-13 Juan Pablo Carbajal , Daniel Alejandro Martin , Dante Renato Chialvo

Many automated machine learning methods, such as those for hyperparameter and neural architecture optimization, are computationally expensive because they involve training many different model configurations. In this work, we present a new…

Machine Learning · Computer Science 2020-06-08 Martin Wistuba , Tejaswini Pedapati

We consider the computational task of sampling a bit string $x$ from a distribution $\pi(x)=|\langle x|\psi\rangle|^2$, where $\psi$ is the unique ground state of a local Hamiltonian $H$. Our main result describes a direct link between the…

Quantum Physics · Physics 2023-11-09 Sergey Bravyi , Giuseppe Carleo , David Gosset , Yinchen Liu

In this paper, we explore the class of the Hidden Semi-Markov Model (HSMM), a flexible extension of the popular Hidden Markov Model (HMM) that allows the underlying stochastic process to be a semi-Markov chain. HSMMs are typically used less…

Applications · Statistics 2023-01-26 Patrick Aschermayr , Konstantinos Kalogeropoulos

Neuromorphic architectures, which incorporate parallel and in-memory processing, are crucial for accelerating artificial neural network (ANN) computations. This work presents a novel memristor-based multi-layer neural network (memristive…

Emerging Technologies · Computer Science 2025-07-29 Santlal Prajapat , Manobendra Nath Mondal , Susmita Sur-Kolay

Synaptic weights for neurons in logic programming can be calculated either by using Hebbian learning or by Wan Abdullah's method. In other words, Hebbian learning for governing events corresponding to some respective program clauses is…

Logic in Computer Science · Computer Science 2008-04-28 Saratha Sathasivam , Wan Ahmad Tajuddin Wan Abdullah

As well known, Hebb's learning traces its origin in Pavlov's Classical Conditioning, however, while the former has been extensively modelled in the past decades (e.g., by Hopfield model and countless variations on theme), as for the latter…

Disordered Systems and Neural Networks · Physics 2022-07-05 Elena Agliari , Miriam Aquaro , Adriano Barra , Alberto Fachechi , Chiara Marullo

Fast approximations to matrix multiplication have the potential to dramatically reduce the cost of neural network inference. Recent work on approximate matrix multiplication proposed to replace costly multiplications with table-lookups by…

Machine Learning · Computer Science 2022-07-14 Calvin McCarter , Nicholas Dronen

Neuromorphic systems that employ advanced synaptic learning rules, such as the three-factor learning rule, require synaptic devices of increased complexity. Herein, a novel neoHebbian artificial synapse utilizing ReRAM devices has been…

Many models used in artificial intelligence and cognitive science rely on multi-element patterns stored in "slots" - dedicated storage locations - in a digital computer. As biological brains likely lack slots, we consider how they might…

Neural and Evolutionary Computing · Computer Science 2025-11-07 Shaunak Bhandarkar , James L. McClelland
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