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"Sparse" neural networks, in which relatively few neurons or connections are active, are common in both machine learning and neuroscience. Whereas in machine learning, "sparsity" is related to a penalty term that leads to some connecting…

Neural and Evolutionary Computing · Computer Science 2021-08-19 Luca Manneschi , Andrew C. Lin , Eleni Vasilaki

Boundaries in Hypernetwork Theory (HT) are non-structural tags that restrict visibility without altering the underlying hypernetwork. They attach to hypersimplices as annotations and participate in no identity, typing, or alpha/beta…

Social and Information Networks · Computer Science 2025-12-18 Richard D. Charlesworth

In this work we study a Hebbian neural network, where neurons are arranged according to a hierarchical architecture such that their couplings scale with their reciprocal distance. As a full statistical mechanics solution is not yet…

Disordered Systems and Neural Networks · Physics 2016-01-26 Elena Agliari , Adriano Barra , Andrea Galluzzi , Francesco Guerra , Daniele Tantari , Flavia Tavani

Integrating hard constraints into deep learning is essential for safety-critical systems. Yet existing constructive layers that project predictions onto constraint boundaries face a fundamental bottleneck: gradient saturation. By collapsing…

Machine Learning · Computer Science 2026-02-04 Philipp J. Schneider , Daniel Kuhn

We propose a new learning framework, signal propagation (sigprop), for propagating a learning signal and updating neural network parameters via a forward pass, as an alternative to backpropagation. In sigprop, there is only the forward path…

Machine Learning · Computer Science 2022-11-18 Adam Kohan , Edward A. Rietman , Hava T. Siegelmann

Thanks to the availability of large scale digital datasets and massive amounts of computational power, deep learning algorithms can learn representations of data by exploiting multiple levels of abstraction. These machine learning methods…

Disordered Systems and Neural Networks · Physics 2018-10-01 Alberto Testolin , Michele Piccolini , Samir Suweis

Adaptation plays a pivotal role in the evolution of natural and artificial complex systems, and in the determination of their functionality. Here, we investigate the impact of adaptive inter-layer processes on intra-layer synchronization in…

Adaptation and Self-Organizing Systems · Physics 2020-10-20 Ajay Deep Kachhvah , Xiangfeng Dai , Stefano Boccaletti , Sarika Jalan

Continual Reinforcement Learning (CRL) is essential for developing agents that can learn, adapt, and accumulate knowledge over time. However, a fundamental challenge persists as agents must strike a delicate balance between plasticity,…

Machine Learning · Computer Science 2025-03-11 Chengqi Zheng , Haiyan Yin , Jianda Chen , Terence Ng , Yew-Soon Ong , Ivor Tsang

Among the performance-enhancing procedures for Hopfield-type networks that implement associative memory, Hebbian Unlearning (or dreaming) strikes for its simplicity and its clear biological interpretation. Yet, it does not easily lend…

Disordered Systems and Neural Networks · Physics 2023-08-28 Marco Benedetti , Louis Carillo , Enzo Marinari , Marc Mèzard

Spiking Neural Networks (SNNs) provide a promising framework for energy-efficient and biologically grounded computation; however, scalable learning in deep recurrent architectures with sparse connectivity remains a major challenge. In this…

Neural and Evolutionary Computing · Computer Science 2026-05-04 Bo Tang , Weiwei Xie

Biological visual systems learn from limited experience, unlike deep learning models that rely on millions of training images. What learning principles make this possible? We tested whether efficient coding, the idea that neural…

Computer Vision and Pattern Recognition · Computer Science 2026-05-20 Ananya Passi , Brian S. Robinson , Michael F. Bonner

With the ever-increasing number of digital music and vast music track features through popular online music streaming software and apps, feature recognition using the neural network is being used for experimentation to produce a wide range…

Computation and Language · Computer Science 2020-09-01 Sourav Das , Anup Kumar Kolya

A feed-forward neural net with adaptable synaptic weights and fixed, zero or non-zero threshold potentials is studied, in the presence of a global feedback signal that can only have two values, depending on whether the output of the network…

Disordered Systems and Neural Networks · Physics 2009-11-10 J. Bedaux , W. A. van Leeuwen

In this paper, we propose a novel model for high-dimensional data, called the Hybrid Orthogonal Projection and Estimation (HOPE) model, which combines a linear orthogonal projection and a finite mixture model under a unified generative…

Machine Learning · Computer Science 2016-04-26 Shiliang Zhang , Hui Jiang

Latent space models are widely used for analyzing high-dimensional discrete data matrices, such as patient-feature matrices in electronic health records (EHRs), by capturing complex dependence structures through low-dimensional embeddings.…

Machine Learning · Computer Science 2026-02-19 Weijing Tang , Ming Yuan , Zongqi Xia , Tianxi Cai

The Hessian spectrum of trained deep networks exhibits a characteristic structure: a continuous bulk of near-zero eigenvalues and a small number of large outlier eigenvalues (spikes), confirming the relevance of Random Matrix Theory in deep…

Machine Learning · Computer Science 2026-05-19 Hugo Vigna , Samuel Bontemps

The primate brain contains a hierarchy of visual areas, dubbed the ventral stream, which rapidly computes object representations that are both specific for object identity and relatively robust against identity-preserving transformations…

Neural and Evolutionary Computing · Computer Science 2016-06-07 Joel Z. Leibo , Qianli Liao , Winrich Freiwald , Fabio Anselmi , Tomaso Poggio

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

By composing graphical models with deep learning architectures, we learn generative models with the strengths of both frameworks. The structured variational autoencoder (SVAE) inherits structure and interpretability from graphical models,…

Machine Learning · Computer Science 2023-11-15 Harry Bendekgey , Gabriel Hope , Erik B. Sudderth

Backpropagation (BP) has been pivotal in advancing machine learning and remains essential in computational applications and comparative studies of biological and artificial neural networks. Despite its widespread use, the implementation of…

Neurons and Cognition · Quantitative Biology 2025-04-15 Xinhao Fan , Shreesh P Mysore