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We consider the problem of inferring the interactions between a set of N binary variables from the knowledge of their frequencies and pairwise correlations. The inference framework is based on the Hopfield model, a special case of the Ising…

Statistical Mechanics · Physics 2015-05-27 Simona Cocco , Remi Monasson , Vitor Sessak

The standard Hopfield model for associative neural networks accounts for biological Hebbian learning and acts as the harmonic oscillator for pattern recognition, however its maximal storage capacity is $\alpha \sim 0.14$, far from the…

Neural and Evolutionary Computing · Computer Science 2018-10-30 Alberto Fachechi , Elena Agliari , Adriano Barra

An open problem in neuroscience is to explain the functional role of oscillations in neural networks, contributing, for example, to perception, attention, and memory. Cross-frequency coupling (CFC) is associated with information integration…

Neurons and Cognition · Quantitative Biology 2022-04-18 Connor Bybee , Alexander Belsten , Friedrich T. Sommer

We present a hardware-integrated security framework for LiFi networks through device fingerprint extraction within the IEEE 802.15.7 protocol. Our Optic Fingerprint (OFP) model utilizes inherent LED nonlinearities to generate…

Signal Processing · Electrical Eng. & Systems 2025-04-18 Ziqi Liu , Xuanbang Chen , Xun Zhang

Dense Associative Memories or Modern Hopfield Networks have many appealing properties of associative memory. They can do pattern completion, store a large number of memories, and can be described using a recurrent neural network with a…

Neural and Evolutionary Computing · Computer Science 2021-07-29 Dmitry Krotov

A mechanism is proposed for increasing selectivity of olfactory bulb projection neurons as compared to the olfactory receptor neurons, which could operate under low odor concentration, when the lateral inhibition mechanism becomes…

Neurons and Cognition · Quantitative Biology 2021-11-09 Alexander Vidybida

Early olfactory pathway responses to the presentation of an odor exhibit remarkably similar dynamical behavior across phyla from insects to mammals, and frequently involve transitions among quiescence, collective network oscillations, and…

Neurons and Cognition · Quantitative Biology 2020-09-29 Pamela B Pyzza , Katherine A Newhall , Douglas Zhou , Gregor Kovacic , David Cai

We study the dynamics of belief formation on multiple interconnected topics in networks of agents with a shared belief system. We establish sufficient conditions and necessary conditions under which sustained oscillations of beliefs arise…

Optimization and Control · Mathematics 2023-03-24 Anastasia Bizyaeva , Alessio Franci , Naomi Ehrich Leonard

We present a Hopfield-like autoassociative network for memories representing examples of concepts. Each memory is encoded by two activity patterns with complementary properties. The first is dense and correlated across examples within…

Neurons and Cognition · Quantitative Biology 2023-08-28 Louis Kang , Taro Toyoizumi

In response to a sound stimulus, the inner ear emits sounds called otoacoustic emissions. While the exact mechanism for the production of otoacoustic emissions is not known, active motion of individual hair cells is thought to play a role.…

Pattern Formation and Solitons · Physics 2009-11-13 K. A. Montgomery

The application of deep learning techniques on aroma-chemicals has resulted in models more accurate than human experts at predicting olfactory qualities. However, public research in this domain has been limited to predicting the qualities…

Machine Learning · Computer Science 2024-06-06 Laura Sisson , Aryan Amit Barsainyan , Mrityunjay Sharma , Ritesh Kumar

Neural coupling in both neuroscience and artificial intelligence emerges as dynamic oscillatory patterns that encode abstract concepts. To this end, we hypothesize that a deeper understanding of the neural mechanisms governing brain rhythms…

Neurons and Cognition · Quantitative Biology 2026-02-03 Tingting Dan , Jiaqi Ding , Guorong Wu

Learning to automatically perceive smell is becoming increasingly important with applications in monitoring the quality of food and drinks for healthy living. In todays age of proliferation of internet of things devices, the deployment of…

Machine Learning · Computer Science 2019-12-03 Kehinde Owoeye

Dense Associative Memories or modern Hopfield networks permit storage and reliable retrieval of an exponentially large (in the dimension of feature space) number of memories. At the same time, their naive implementation is non-biological,…

Neurons and Cognition · Quantitative Biology 2021-04-29 Dmitry Krotov , John Hopfield

We present a novel machine learning architecture for classification suggested by experiments on olfactory systems. The network separates input stimuli, represented as spatially distinct currents, via winnerless competition---a process based…

Biological Physics · Physics 2020-06-18 Jason A. Platt , Anna Miller , Lawson Fuller , Henry D. I. Abarbanel

On a two-dimensional circular domain, we analyze the formation of spatio-temporal patterns for a class of coupled bulk-surface reaction-diffusion models for which a passive diffusion process occurring in the interior bulk domain is linearly…

Pattern Formation and Solitons · Physics 2020-08-11 Frédéric Paquin-Lefebvre , Wayne Nagata , Michael J. Ward

As a mathematical model of associative memories, the Hopfield model was now well-established and a lot of studies to reveal the pattern-recalling process have been done from various different approaches. As well-known, a single neuron is…

Disordered Systems and Neural Networks · Physics 2015-05-27 Jun-ichi Inoue

We analyze the psychophysical responses of human observers to an ensemble of monomolecular odorants. Each odorant is characterized by a set of 146 perceptual descriptors obtained from a database of odor character profiles. Each odorant is…

Neurons and Cognition · Quantitative Biology 2009-07-24 Alexei A. Koulakov , Armen G. Enikolopov , Dmitry Rinberg

Learning or memory formation are associated with the strengthening of the synaptic connections between neurons according to a pattern reflected by the input. According to this theory a retained memory sequence is associated to a dynamic…

Dynamical Systems · Mathematics 2016-03-23 Pascal Chossat , Martin Krupa

We introduce the Neural Collaborative Subspace Clustering, a neural model that discovers clusters of data points drawn from a union of low-dimensional subspaces. In contrast to previous attempts, our model runs without the aid of spectral…

Computer Vision and Pattern Recognition · Computer Science 2019-04-25 Tong Zhang , Pan Ji , Mehrtash Harandi , Wenbing Huang , Hongdong Li
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