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Artificial networks have been studied through the prism of statistical mechanics as disordered systems since the 80s, starting from the simple models of Hopfield's associative memory and the single-neuron perceptron classifier. Assuming…

无序系统与神经网络 · 物理学 2023-04-14 Marylou Gabrié , Surya Ganguli , Carlo Lucibello , Riccardo Zecchina

Physicists study a wide variety of phenomena creating new interdisciplinary research fields by applying theories and methods originally developed in physics in order to solve problems in economics, social science, biology, medicine,…

科普物理 · 物理学 2007-07-24 D. Volchenkov , Ph. Blanchard

We provide a comprehensive review of the existing literature on memory-augmented GNNs. We review these works through the lens of psychology and neuroscience, which has several established theories on how multiple memory systems and…

机器学习 · 计算机科学 2023-07-18 Guixiang Ma , Vy A. Vo , Theodore Willke , Nesreen K. Ahmed

We critically review three major theories of machine learning and provide a new theory according to which machines learn a function when the machines successfully compute it. We show that this theory challenges common assumptions in the…

机器学习 · 计算机科学 2024-07-09 Jinsook Kim , Jinho Kang

Convolutional neural networks (CNNs) were inspired by early findings in the study of biological vision. They have since become successful tools in computer vision and state-of-the-art models of both neural activity and behavior on visual…

神经元与认知 · 定量生物学 2020-02-11 Grace W. Lindsay

Understanding the origins of complexity is a fundamental challenge with implications for biological and technological systems. Network theory emerges as a powerful tool to model complex systems. Networks are an intuitive framework to…

无序系统与神经网络 · 物理学 2024-10-22 Blai Vidiella , Salva Duran-Nebreda , Sergi Valverde

An outline of recent work on complex networks is given from the point of view of a physicist. Motivation, achievements and goals are discussed with some of the typical applications from a wide range of academic fields. An introduction to…

统计力学 · 物理学 2011-06-07 T. S. Evans

Networks are ubiquitous in science and have become a focal point for discussion in everyday life. Formal statistical models for the analysis of network data have emerged as a major topic of interest in diverse areas of study, and most of…

统计方法学 · 统计学 2009-12-31 Anna Goldenberg , Alice X Zheng , Stephen E Fienberg , Edoardo M Airoldi

Networks have attracted a burst of attention in the last decade, with applications to natural, social, and technological systems. While networks provide a powerful abstraction for investigating relationships and interactions, the…

物理与社会 · 物理学 2010-04-09 Michael J. Barber , Manfred Paier , Thomas Scherngell

State-of-the-art solutions in the areas of "Language Modelling & Generating Text", "Speech Recognition", "Generating Image Descriptions" or "Video Tagging" have been using Recurrent Neural Networks as the foundation for their approaches.…

机器学习 · 计算机科学 2019-12-13 Robin M. Schmidt

Convoulutional Neural Networks (CNNs) exhibit extraordinary performance on a variety of machine learning tasks. However, their mathematical properties and behavior are quite poorly understood. There is some work, in the form of a framework,…

其他统计学 · 统计学 2016-10-30 Jayanth Koushik

Complex networks describe a wide range of systems in nature and society, much quoted examples including the cell, a network of chemicals linked by chemical reactions, or the Internet, a network of routers and computers connected by physical…

统计力学 · 物理学 2016-08-31 Reka Albert , Albert-Laszlo Barabasi

Accurate molecular force fields are of paramount importance for the efficient implementation of molecular dynamics techniques at large scales. In the last decade, machine learning methods have demonstrated impressive performances in…

量子物理 · 物理学 2022-07-22 Oriel Kiss , Francesco Tacchino , Sofia Vallecorsa , Ivano Tavernelli

Neural networks are one of the most investigated and widely used techniques in Machine Learning. In spite of their success, they still find limited application in safety- and security-related contexts, wherein assurance about networks'…

人工智能 · 计算机科学 2018-05-28 Francesco Leofante , Nina Narodytska , Luca Pulina , Armando Tacchella

From interacting cellular components to networks of neurons and neural systems, interconnected units comprise a fundamental organizing principle of the nervous system. Understanding how their patterns of connections and interactions give…

神经元与认知 · 定量生物学 2018-08-01 Danielle S. Bassett , Perry Zurn , Joshua I. Gold

This thesis is a compendium of research which brings together ideas from the fields of Complex Networks and Computational Neuroscience to address two questions regarding neural systems: 1) How the activity of neurons, via synaptic changes,…

神经元与认知 · 定量生物学 2013-02-19 Samuel Johnson

Deep learning has sparked a network of mutual interactions between different disciplines and AI. Naturally, each discipline focuses and interprets the workings of deep learning in different ways. This diversity of perspectives on deep…

机器学习 · 计算机科学 2019-08-28 Raul Vicente

Machine learning on graphs, especially using graph neural networks (GNNs), has seen a surge in interest due to the wide availability of graph data across a broad spectrum of disciplines, from life to social and engineering sciences. Despite…

Particle physics is a branch of science aiming at discovering the fundamental laws of matter and forces. Graph neural networks are trainable functions which operate on graphs---sets of elements and their pairwise relations---and are a…

高能物理 - 实验 · 物理学 2020-10-22 Jonathan Shlomi , Peter Battaglia , Jean-Roch Vlimant

Originally inspired by neurobiology, deep neural network models have become a powerful tool of machine learning and artificial intelligence, where they are used to approximate functions and dynamics by learning from examples. Here we give a…

神经元与认知 · 定量生物学 2019-04-12 Nikolaus Kriegeskorte , Tal Golan