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The Restricted Boltzmann Machine (RBM) is one of the simplest generative neural networks capable of learning input distributions. Despite its simplicity, the analysis of its performance in learning from the training data is only well…

Machine Learning · Computer Science 2025-11-13 Yizhou Xu , Florent Krzakala , Lenka Zdeborová

Hebbian learning is a biological principle that intuitively describes how neurons adapt their connections through repeated stimuli. However, when applied to machine learning, it suffers serious issues due to the unconstrained updates of the…

Machine Learning · Computer Science 2025-10-23 Shikuang Deng , Jiayuan Zhang , Yuhang Wu , Ting Chen , Shi Gu

Humans and other animals are capable of improving their learning performance as they solve related tasks from a given problem domain, to the point of being able to learn from extremely limited data. While synaptic plasticity is generically…

Machine Learning · Computer Science 2022-10-04 Nicolas Zucchet , Simon Schug , Johannes von Oswald , Dominic Zhao , João Sacramento

Neural network models of early sensory processing typically reduce the dimensionality of streaming input data. Such networks learn the principal subspace, in the sense of principal component analysis (PCA), by adjusting synaptic weights…

Neurons and Cognition · Quantitative Biology 2015-05-18 Cengiz Pehlevan , Tao Hu , Dmitri B. Chklovskii

Numerical experiments indicate that deep learning algorithms overcome the curse of dimensionality when approximating solutions of semilinear PDEs. For certain linear PDEs and semilinear PDEs with gradient-independent nonlinearities this has…

Numerical Analysis · Mathematics 2024-09-24 Ariel Neufeld , Tuan Anh Nguyen

In a standard multi-output classification scenario, both features and labels of training data are partially observed. This challenging issue is widely witnessed due to sensor or database failures, crowd-sourcing and noisy communication…

Machine Learning · Computer Science 2019-12-20 Giancarlo Fissore , Aurélien Decelle , Cyril Furtlehner , Yufei Han

Neural networks are usually not the tool of choice for nonparametric high-dimensional problems where the number of input features is much larger than the number of observations. Though neural networks can approximate complex multivariate…

Methodology · Statistics 2019-06-25 Jean Feng , Noah Simon

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

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

Hyperspectral images have far more spectral bands than ordinary multispectral images. Rich band information provides more favorable conditions for the tremendous applications. However, significant increase in the dimensionality of spectral…

Computer Vision and Pattern Recognition · Computer Science 2018-02-21 Fei Li , Pingping Zhang , Huchuan Lu

We propose to address the issue of sample efficiency, in Deep Convolutional Neural Networks (DCNN), with a semi-supervised training strategy that combines Hebbian learning with gradient descent: all internal layers (both convolutional and…

Neural and Evolutionary Computing · Computer Science 2021-09-21 Gabriele Lagani , Fabrizio Falchi , Claudio Gennaro , Giuseppe Amato

Representation learning from complex data typically involves models with a large number of parameters, which in turn require large amounts of data samples. In neural network models, model complexity grows with the number of inputs to each…

Machine Learning · Computer Science 2026-03-03 Carlos Stein Brito

The curse of dimensionality in the realm of association rules is twofold. Firstly, we have the well known exponential increase in computational complexity with increasing item set size. Secondly, there is a \emph{related curse} concerned…

Artificial Intelligence · Computer Science 2018-05-16 Tom Hanika , Friedrich Martin Schneider , Gerd Stumme

Associative memory or content-addressable memory is an important component function in computer science and information processing, and at the same time a key concept in cognitive and computational brain science. Many different neural…

Neural and Evolutionary Computing · Computer Science 2026-05-05 Anders Lansner , Andreas Knoblauch , Naresh B Ravichandran , Pawel Herman

Learning internal representations from data using no or few labels is useful for machine learning research, as it allows using massive amounts of unlabeled data. In this work, we use the Bayesian Confidence Propagation Neural Network…

Machine Learning · Computer Science 2021-06-30 Naresh Balaji Ravichandran , Anders Lansner , Pawel Herman

We consider the problem of discriminatively learning restricted Boltzmann machines in the presence of relational data. Unlike previous approaches that employ a rule learner (for structure learning) and a weight learner (for parameter…

Machine Learning · Computer Science 2020-01-29 Navdeep Kaur , Gautam Kunapuli , Sriraam Natarajan

Neural networks use their hidden layers to transform input data into linearly separable data clusters, with a linear or a perceptron type output layer making the final projection on the line perpendicular to the discriminating hyperplane.…

Machine Learning · Computer Science 2018-07-10 Wlodzislaw Duch

Modern data-driven machine learning system designs exploit inductive biases in architectural structure, invariance and equivariance requirements, task-specific loss functions, and computational optimization tools. Previous works have…

Neural and Evolutionary Computing · Computer Science 2025-03-04 Achref Jaziri , Sina Ditzel , Iuliia Pliushch , Visvanathan Ramesh

Recent empirical studies have demonstrated that diffusion models can effectively learn the image distribution and generate new samples. Remarkably, these models can achieve this even with a small number of training samples despite a large…

Machine Learning · Computer Science 2025-07-08 Peng Wang , Huijie Zhang , Zekai Zhang , Siyi Chen , Yi Ma , Qing Qu

In multi-label classification, the main focus has been to develop ways of learning the underlying dependencies between labels, and to take advantage of this at classification time. Developing better feature-space representations has been…

Machine Learning · Computer Science 2015-02-23 Jesse Read , Fernando Perez-Cruz