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With the growth of deep learning, how to describe deep neural networks unifiedly is becoming an important issue. We first formalize neural networks mathematically with their directed graph representations, and prove a generation theorem…

Machine Learning · Computer Science 2018-05-11 Yujian Li , Chuanhui Shan

We construct and analyze a rate-based neural network model in which self-interacting units represent clusters of neurons with strong local connectivity and random inter-unit connections reflect long-range interactions. When sufficiently…

Disordered Systems and Neural Networks · Physics 2015-06-22 Merav Stern , Haim Sompolinsky , L. F. Abbott

Recognizing the actions of others from visual stimuli is a crucial aspect of human visual perception that allows individuals to respond to social cues. Humans are able to identify similar behaviors and discriminate between distinct actions…

Neurons and Cognition · Quantitative Biology 2018-02-07 Andrea Tacchetti , Leyla Isik , Tomaso Poggio

With the recent success of deep neural networks in computer vision, it is important to understand the internal working of these networks. What does a given neuron represent? The concepts captured by a neuron may be hard to understand or…

Computer Vision and Pattern Recognition · Computer Science 2020-12-29 Suryabhan Singh Hada , Miguel Á. Carreira-Perpiñán

We introduce the Dynamic Capacity Network (DCN), a neural network that can adaptively assign its capacity across different portions of the input data. This is achieved by combining modules of two types: low-capacity sub-networks and…

Machine Learning · Computer Science 2016-05-24 Amjad Almahairi , Nicolas Ballas , Tim Cooijmans , Yin Zheng , Hugo Larochelle , Aaron Courville

Active inference is a mathematical framework which originated in computational neuroscience as a theory of how the brain implements action, perception and learning. Recently, it has been shown to be a promising approach to the problems of…

Many biological, physical, and social interactions have a particular dependence on where they take place. In living cells, protein movement between the nucleus and cytoplasm affects cellular response (i.e., proteins must be present in the…

Molecular Networks · Quantitative Biology 2012-10-11 Heather A. Harrington , Elisenda Feliu , Carsten Wiuf , Michael M. P. Stumpf

In our understanding, a mind-map is an adaptive engine that basically works incrementally on the fundament of existing transactional streams. Generally, mind-maps consist of symbolic cells that are connected with each other and that become…

Neural and Evolutionary Computing · Computer Science 2009-02-19 Claudine Brucks , Michael Hilker , Christoph Schommer , Cynthia Wagner , Ralph Weires

Due to the compact and rich high-level representations offered, skeleton-based human action recognition has recently become a highly active research topic. Previous studies have demonstrated that investigating joint relationships in spatial…

Computer Vision and Pattern Recognition · Computer Science 2023-05-30 Ali Farajzadeh Bavil , Hamed Damirchi , Hamid D. Taghirad

Deliberation networks are a family of sequence-to-sequence models, which have achieved state-of-the-art performance in a wide range of tasks such as machine translation and speech synthesis. A deliberation network consists of multiple…

Computation and Language · Computer Science 2022-11-08 Qingyun Dou , Mark Gales

A novel model for dynamical traps in intermittent human control is proposed. It describes probabilistic, step-wise transitions between two modes of a subject's behavior - active and passive phases in controlling an object's dynamics - using…

Adaptation and Self-Organizing Systems · Physics 2025-03-04 Vasily Lubashevskiy , Ihor Lubashevsky , Namik Gusein-zade

We study how the connectivity within a recurrent neural network determines and is determined by the multistable solutions of network activity. To gain analytic tractability we let neural activation be a non-smooth Heaviside step function.…

Neural and Evolutionary Computing · Computer Science 2023-03-09 Magnus Tournoy , Brent Doiron

Computational models are quantitative representations of systems. By analyzing and comparing the outputs of such models, it is possible to gain a better understanding of the system itself. Though as the complexity of model outputs…

Machine Learning · Computer Science 2022-12-13 Colin G. Cess , Stacey D. Finley

Prospection, the act of predicting the consequences of many possible futures, is intrinsic to human planning and action, and may even be at the root of consciousness. Surprisingly, this idea has been explored comparatively little in…

Robotics · Computer Science 2018-04-03 Chris Paxton , Yotam Barnoy , Kapil Katyal , Raman Arora , Gregory D. Hager

Metastability is observed when a physical system is close to a first order phase transition. In this paper the metastable behavior of a two state reversible probabilistic cellular automaton with self-interaction is discussed. Depending on…

Statistical Mechanics · Physics 2009-07-10 Emilio N. M. Cirillo , Francesca R. Nardi , Cristian Spitoni

Active inference is a normative framework for explaining behaviour under the free energy principle -- a theory of self-organisation originating in neuroscience. It specifies neuronal dynamics for state-estimation in terms of a descent on…

Neurons and Cognition · Quantitative Biology 2021-10-26 Lancelot Da Costa , Thomas Parr , Biswa Sengupta , Karl Friston

Mounting evidence in neuroscience suggests the possibility of neuronal representations that individual neurons serve as the substrates of different mental representations in a point-to-point way. Combined with associationism, it can…

Neurons and Cognition · Quantitative Biology 2021-09-06 Chiyin Zheng

Endothelial cells are responsible for the formation of the capillary blood vessel network. We describe a system of endothelial cells by means of two-dimensional molecular dynamics simulations of point-like particles. Cells' motion is…

Soft Condensed Matter · Physics 2022-12-22 Paolo Buttà , Fiammetta Cerreti , Vito D. P. Servedio , Livio Triolo

Reverberating dynamics of neural network is modelled on PC in order to illustrate possible role of inhibition as binding controller in the network. The network is composed of binding neurons. In the binding neuron model the degree of…

Neurons and Cognition · Quantitative Biology 2013-05-17 Alexander Vidybida

Cortical neurons whose activity is recorded in behavioral experiments has been classified into several types such as stimulus-related neurons, delay-period neurons, and reward-related neurons. Moreover, the population activity of neurons…

Neurons and Cognition · Quantitative Biology 2018-11-27 Takuma Tanaka