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The state space of a conventional Hopfield network typically exhibits many different attractors of which only a small subset satisfy constraints between neurons in a globally optimal fashion. It has recently been demonstrated that combining…

Adaptation and Self-Organizing Systems · Physics 2014-09-02 Alexander Woodward , Tom Froese , Takashi Ikegami

Convolutional networks are ubiquitous in deep learning. They are particularly useful for images, as they reduce the number of parameters, reduce training time, and increase accuracy. However, as a model of the brain they are seriously…

Machine Learning · Computer Science 2022-01-19 Roman Pogodin , Yash Mehta , Timothy P. Lillicrap , Peter E. Latham

This paper presents a new artificial neuron model capable of learning its receptive field in the topological domain of inputs. The model provides adaptive and differentiable local connectivity (plasticity) applicable to any domain. It…

Neural and Evolutionary Computing · Computer Science 2020-09-08 F. Boray Tek

We introduce a novel spiking neural network model for learning distributed internal representations from data in an unsupervised procedure. We achieved this by transforming the non-spiking feedforward Bayesian Confidence Propagation Neural…

Neural and Evolutionary Computing · Computer Science 2023-05-12 Naresh Ravichandran , Anders Lansner , Pawel Herman

A major target of linguistics and cognitive science has been to understand what class of learning systems can acquire the key structures of natural language. Until recently, the computational requirements of language have been used to argue…

Artificial Intelligence · Computer Science 2022-01-27 Yuan Yang

We derive the Gardner storage capacity for associative networks of threshold linear units, and show that with Hebbian learning they can operate closer to such Gardner bound than binary networks, and even surpass it. This is largely achieved…

Disordered Systems and Neural Networks · Physics 2021-01-13 Francesca Schönsberg , Yasser Roudi , Alessandro Treves

Exploiting data invariances is crucial for efficient learning in both artificial and biological neural circuits. Understanding how neural networks can discover appropriate representations capable of harnessing the underlying symmetries of…

Disordered Systems and Neural Networks · Physics 2022-10-17 Alessandro Ingrosso , Sebastian Goldt

Through a redefinition of patterns in an Hopfield-like model, we introduce and develop an approach to model discrete systems made up of many, interacting components with inner degrees of freedom. Our approach clarifies the intrinsic…

Statistical Mechanics · Physics 2015-05-19 Elena Agliari , Adriano Barra

We build upon recent work on using Machine Learning models to estimate Hamiltonian parameters using continuous weak measurement of qubits as input. We consider two settings for the training of our model: (1) supervised learning where the…

Quantum Physics · Physics 2025-02-17 Kris Tucker , Amit Kiran Rege , Conor Smith , Claire Monteleoni , Tameem Albash

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

Here we test our conceptual understanding of V1 function by asking two experimental questions: 1) How do neurons respond to the spatiotemporal structure contained in dynamic, natural scenes? and 2) What is the true range of visual…

Neurons and Cognition · Quantitative Biology 2013-11-05 Urs Köster , Bruno Olshausen

Recurrent neural networks in the chaotic regime exhibit complex dynamics reminiscent of high-level cortical activity during behavioral tasks. However, existing training methods for such networks are either biologically implausible, or…

Neurons and Cognition · Quantitative Biology 2015-12-09 Thomas Miconi

Associative memory or content addressable memory is an important component function in computer science and information processing and is a key concept in cognitive and computational brain science. Many different neural network…

Neural and Evolutionary Computing · Computer Science 2025-02-19 Anders Lansner , Naresh B Ravichandran , Pawel Herman

Models of neural responses to stimuli with complex spatiotemporal correlation structure often assume that neurons are only selective for a small number of linear projections of a potentially high-dimensional input. Here we explore recent…

Neurons and Cognition · Quantitative Biology 2013-06-19 Kanaka Rajan , Olivier Marre , Gašper Tkačik

Features extracted from Deep Neural Networks (DNNs) have proven to be very effective in the context of Content Based Image Retrieval (CBIR). In recent work, biologically inspired \textit{Hebbian} learning algorithms have shown promises for…

Computer Vision and Pattern Recognition · Computer Science 2022-05-19 Gabriele Lagani , Davide Bacciu , Claudio Gallicchio , Fabrizio Falchi , Claudio Gennaro , Giuseppe Amato

One of the most striking capabilities behind the learning mechanisms of the brain is the adaptation, through structural and functional plasticity, of its synapses. While synapses have the fundamental role of transmitting information across…

Neural and Evolutionary Computing · Computer Science 2024-06-10 Andrea Ferigo , Elia Cunegatti , Giovanni Iacca

Animals learn to predict external contingencies from experience through a process of conditioning. A natural mechanism for conditioning is stimulus substitution, whereby the neuronal response to a stimulus with no prior behavioral…

Neurons and Cognition · Quantitative Biology 2024-09-23 Pantelis Vafidis , Antonio Rangel

Non-Hermitian systems offer new platforms for unusual physical properties that can be flexibly manipulated by redistribution of the real and imaginary parts of refractive indices, whose presence breaks conventional wave propagation…

Optics · Physics 2022-04-29 W. W. Ahmed , M. Farhat , K. Staliunas , X. Zhang , Y. Wu

Biological nervous systems constitute important sources of inspiration towards computers that are faster, cheaper, and more energy efficient. Neuromorphic disciplines view the brain as a coevolved system, simultaneously optimizing the…

Neural and Evolutionary Computing · Computer Science 2025-09-18 Jens Egholm Pedersen , Jörg Conradt , Tony Lindeberg

Discrete-time modeling of acoustic, mechanical and electrical systems is a prominent topic in the musical signal processing literature. Such models are mostly derived by discretizing a mathematical model, given in terms of ordinary or…