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The graph structure is a commonly used data storage mode, and it turns out that the low-dimensional embedded representation of nodes in the graph is extremely useful in various typical tasks, such as node classification, link prediction ,…

社会与信息网络 · 计算机科学 2020-08-03 Xing Li , Wei Wei , Xiangnan Feng , Xue Liu , Zhiming Zheng

Chain graphs combine directed and undirected graphs and their underlying mathematics combines properties of the two. This paper gives a simplified definition of chain graphs based on a hierarchical combination of Bayesian (directed) and…

人工智能 · 计算机科学 2013-02-21 Wray L. Buntine

Trail interactions occur when past particle trajectories bias future motion, rendering the system out of thermodynamic equilibrium. While such systems are abundant in nature, their understanding is limited to the single-particle level or…

统计力学 · 物理学 2025-12-04 Paul Pineau , Samuel Bell , Raphaël Voituriez , Ram M. Adar

We demonstrate experimentally that a granular packing of glass spheres is capable of storing memory of multiple strain states in the dynamic process of stress relaxation. Modeling the system as a non-interacting population of relaxing…

软凝聚态物质 · 物理学 2020-04-29 Kieran A. Murphy , Jonathon W. Kruppe , Heinrich M. Jaeger

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…

神经元与认知 · 定量生物学 2018-11-27 Takuma Tanaka

Strip-plot designs are very useful when the treatments have a factorial structure and the factors levels are hard-to-change. We develop a randomization-based theory of causal inference from such designs in a potential outcomes framework.…

统计理论 · 数学 2018-05-18 Fatemah A. Alquallaf , S. Huda , Rahul Mukerjee

Short-term memory in the brain cannot in general be explained the way long-term memory can -- as a gradual modification of synaptic weights -- since it takes place too quickly. Theories based on some form of cellular bistability, however,…

神经元与认知 · 定量生物学 2013-01-31 Samuel Johnson , J. Marro , Joaquín J. Torres

Amorphous materials driven away from equilibrium display a diverse repertoire of complex, history-dependent behaviors. One striking feature is a failure to return to equilibrium after an abrupt change in otherwise static external…

软凝聚态物质 · 物理学 2025-06-12 Dor Shohat , Paul Baconnier , Itamar Procaccia , Martin van Hecke , Yoav Lahini

We discuss how inference can be performed when data are sampled from the non-ergodic phase of systems with multiple attractors. We take as model system the finite connectivity Hopfield model in the memory phase and suggest a cavity method…

无序系统与神经网络 · 物理学 2013-09-03 A. Braunstein , A. Ramezanpour , R. Zecchina , P. Zhang

In a graph, the minimum cycle bases are a set of linearly independent cycles that can be used to represent any cycle within that cycle space of graph. These bases are useful in various contexts, including the intricate analysis of…

物理与社会 · 物理学 2025-04-22 Yuanbiao Li , Tingyu Wang , Yu Zhao , Bo Yang

We present a simple model that recalls two different patterns depending on the temperature. To realize a change in recall pattern due to temperature change, we embed two patterns to different graphs: the first pattern into a fully connected…

无序系统与神经网络 · 物理学 2026-02-25 Munetaka Sasaki

A graphical model is a structured representation of the data generating process. The traditional method to reason over random variables is to perform inference in this graphical model. However, in many cases the generating process is only a…

机器学习 · 统计学 2019-10-31 Victor Garcia Satorras , Zeynep Akata , Max Welling

Slow dynamics in disordered materials prohibits direct simulation of their rich nonequilibrium behavior at large scales. "Patchwork dynamics" is introduced to mimic relaxation over a very broad range of time scales by equilibrating or…

无序系统与神经网络 · 物理学 2009-06-30 Creighton K. Thomas , Olivia L. White , A. Alan Middleton

Associative memory, a form of content-addressable memory, facilitates information storage and retrieval in many biological and physical systems. In statistical mechanics models, associative memory at equilibrium is represented through…

无序系统与神经网络 · 物理学 2022-03-08 Agnish Kumar Behera , Madan Rao , Srikanth Sastry , Suriyanarayanan Vaikuntanathan

The rates at which individuals memorize and forget environmental information strongly influence their movement paths and long-term space use. To understand how these cognitive time scales shape population-level patterns, we propose and…

偏微分方程分析 · 数学 2026-02-19 Kyung-Han Choi , Thomas Hillen

The modeling of probability distributions, specifically generative modeling and density estimation, has become an immensely popular subject in recent years by virtue of its outstanding performance on sophisticated data such as images and…

机器学习 · 统计学 2023-01-02 Hongkang Yang

Behavior can be described as a temporal sequence of actions driven by neural activity. To learn complex sequential patterns in neural networks, memories of past activities need to persist on significantly longer timescales than the…

神经元与认知 · 定量生物学 2024-09-30 Laura Kriener , Kristin Völk , Ben von Hünerbein , Federico Benitez , Walter Senn , Mihai A. Petrovici

Neural networks often learn simple explanations that fit the majority of the data while memorizing exceptions that deviate from these explanations.This behavior leads to poor generalization when the learned explanations rely on spurious…

机器学习 · 计算机科学 2024-12-11 Reza Bayat , Mohammad Pezeshki , Elvis Dohmatob , David Lopez-Paz , Pascal Vincent

Memory encoding by cyclic shear is a reliable process to store information in jammed solids, yet its underlying mechanism and its connection to the amorphous structure are not fully understood. When a jammed sphere packing is repeatedly…

软凝聚态物质 · 物理学 2021-10-27 Francesco Arceri , Eric I. Corwin , Varda F. Hagh

In repeated interactions between individuals, we do not expect that exactly the same situation will occur from one time to another. Contrary to what is common in models of repeated games in the literature, most real situations may differ a…

种群与进化 · 定量生物学 2007-05-23 Anders Eriksson , Kristian Lindgren
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