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Many applications require an understanding of an image that goes beyond the simple detection and classification of its objects. In particular, a great deal of semantic information is carried in the relationships between objects. We have…

Artificial Intelligence · Computer Science 2018-08-28 Stephan Baier , Yunpu Ma , Volker Tresp

In this paper, we will discuss a formal link between neural networks and quantum computing. For that purpose we will present a simple model for the description of the neural network by forming sub-graphs of the whole network with the same…

Quantum Physics · Physics 2019-02-20 Torsten Asselmeyer-Maluga

We present Temporal and Object Quantification Networks (TOQ-Nets), a new class of neuro-symbolic networks with a structural bias that enables them to learn to recognize complex relational-temporal events. This is done by including reasoning…

Machine Learning · Computer Science 2021-06-11 Jiayuan Mao , Zhezheng Luo , Chuang Gan , Joshua B. Tenenbaum , Jiajun Wu , Leslie Pack Kaelbling , Tomer D. Ullman

We propose a modeling framework to develop a continuum description of opinion dynamics on networks as an alternative to other models, like the ones based on graphons. In a nutshell, the continuum model that we propose aims at approximating…

Analysis of PDEs · Mathematics 2026-03-16 Gianluca Favre , Gaspard Jankowiak , Sara Merino-Aceituno , Lara Trussardi

Motivated by modern observational studies, we introduce a class of functional models that expands nested and crossed designs. These models account for the natural inheritance of correlation structure from sampling design in studies where…

Applications · Statistics 2013-04-26 Haochang Shou , Vadim Zipunnikov , Ciprian M. Crainiceanu , Sonja Greven

We describe a new class of learning models called memory networks. Memory networks reason with inference components combined with a long-term memory component; they learn how to use these jointly. The long-term memory can be read and…

Artificial Intelligence · Computer Science 2015-12-01 Jason Weston , Sumit Chopra , Antoine Bordes

We propose a neural network model of multi-neuron interacting system that simulates neurons to interact each other through the surroundings of neuronal cell bodies. We physically model the neuronal cell surroundings, include the dendrites,…

Neurons and Cognition · Quantitative Biology 2021-07-05 Yu-Juan Sun , Wei-Min Zhang

The brain is a highly complex system. Most of such complexity stems from the intermingled connections between its parts, which give rise to rich dynamics and to the emergence of high-level cognitive functions. Disentangling the underlying…

Neurons and Cognition · Quantitative Biology 2023-08-14 Vito Dichio , Fabrizio De Vico Fallani

Complex functional brain networks are large networks of brain regions and functional brain connections. Statistical characterizations of these networks aim to quantify global and local properties of brain activity with a small number of…

Neurons and Cognition · Quantitative Biology 2011-07-19 Mikail Rubinov , Olaf Sporns

Brain decoding is a hot spot in cognitive science, which focuses on reconstructing perceptual images from brain activities. Analyzing the correlations of collected data from human brain activities and representing activity patterns are two…

Computer Vision and Pattern Recognition · Computer Science 2017-12-06 Siyu Yu , Nanning Zheng , Yongqiang Ma , Hao Wu , Badong Chen

Objective: Brain is a fantastic organ that helps creature adapting to the environment. Network is the most essential structure of brain, but the capability of a simple network is still not very clear. In this study, we try to expound some…

Neurons and Cognition · Quantitative Biology 2019-11-05 Xiang Zou , Lie Yao , Donghua Zhao , Liang Chen , Ying Mao

The critical brain hypothesis states that there are information processing advantages for neuronal networks working close to the critical region of a phase transition. If this is true, we must ask how the networks achieve and maintain this…

Disordered Systems and Neural Networks · Physics 2020-10-22 Osame Kinouchi , Renata Pazzini , Mauro Copelli

In network science complex systems are represented as a mathematical graphs consisting of a set of nodes representing the components and a set of edges representing their interactions. The framework of networks has led to significant…

Physics and Society · Physics 2022-04-07 Alexandre Bovet , Hernán A. Makse

A popular theory of perceptual processing holds that the brain learns both a generative model of the world and a paired recognition model using variational Bayesian inference. Most hypotheses of how the brain might learn these models assume…

Neurons and Cognition · Quantitative Biology 2021-06-01 Ari S. Benjamin , Konrad P. Kording

Understanding the relationship between the dynamics of neural processes and the anatomical substrate of the brain is a central question in neuroscience. On the one hand, modern neuroimaging technologies, such as diffusion tensor imaging,…

The cooperative behaviour of interacting neurons and synapses is studied using models and methods from statistical physics. The competition between training error and entropy may lead to discontinuous properties of the neural network. This…

Disordered Systems and Neural Networks · Physics 2017-02-08 Wolfgang Kinzel

We consider the problem of extracting features from passive, multi-channel electroencephalogram (EEG) devices for downstream inference tasks related to high-level mental states such as stress and cognitive load. Our proposed method…

Signal Processing · Electrical Eng. & Systems 2022-03-02 Guodong Chen , Hayden S. Helm , Kate Lytvynets , Weiwei Yang , Carey E. Priebe

The action potential constitutes the digital component of the signaling dynamics of neurons. But the biophysical nature of the full-time course of the action potential associated with changes in membrane potential is mathematically distinct…

Neurons and Cognition · Quantitative Biology 2026-04-16 Gabriel A. Silva

The "basic level", according to experiments in cognitive psychology, is the level of abstraction in a hierarchy of concepts at which humans perform tasks quicker and with greater accuracy than at other levels. We argue that applications…

Computation and Language · Computer Science 2019-10-29 Laura Hollink , Aysenur Bilgin , Jacco van Ossenbruggen

Neural networks are based on a simplified model of the brain. In this project, we wanted to relax the simplifying assumptions of a traditional neural network by making a model that more closely emulates the low level interactions of…

Machine Learning · Computer Science 2018-07-31 Jacob Beck , Zoe Papakipos
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