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Adaptive social networks, in which nodes and network structure co-evolve, are often described using a mean-field system of equations for the density of node and link types. These equations constitute an open system due to dependence on…

统计力学 · 物理学 2015-06-15 Maxim S. Shkarayev , Leah B. Shaw

Biological organisms are open, adaptve systems that can respond to changes in environment in specific ways. Adaptation and response can be posed as an optimization problem, with a tradeoff between the benefit obtained from a response and…

统计力学 · 物理学 2018-10-17 Suman G. Das , Madan Rao , Garud Iyengar

We develop here a simple yet versatile model for nuclear fragmentation in heavy ion collisions. The model allows us to calculate thermodynamic properties such as phase transitions as well as the distribution of fragments at disassembly. In…

核理论 · 物理学 2016-09-08 Jicai Pan , Subal Das Gupta

Adaptive networks are a novel class of dynamical networks whose topologies and states coevolve. Many real-world complex systems can be modeled as adaptive networks, including social networks, transportation networks, neural networks and…

社会与信息网络 · 计算机科学 2017-05-29 Hiroki Sayama , Irene Pestov , Jeffrey Schmidt , Benjamin James Bush , Chun Wong , Junichi Yamanoi , Thilo Gross

Predictable adaptation of network depths can be an effective way to control inference latency and meet the resource condition of various devices. However, previous adaptive depth networks do not provide general principles and a formal…

计算机视觉与模式识别 · 计算机科学 2024-10-01 Woochul Kang , Hyungseop Lee

A novel approach is suggested for improving the accuracy of fault detection in distribution networks. This technique combines adaptive probability learning and waveform decomposition to optimize the similarity of features. Its objective is…

信号处理 · 电气工程与系统科学 2023-10-03 Xinliang Ma , Weihua Liu , Bingying Jin

The structure of real-world networks is usually difficult to characterize owing to the variation of topological scales, the nondyadic complex interactions, and the fluctuations in the network. We aim to address these problems by introducing…

社会与信息网络 · 计算机科学 2019-09-25 Quoc Hoan Tran , Van Tuan Vo , Yoshihiko Hasegawa

We describe an exact approach for calculating transition probabilities and waiting times in finite-state discrete-time Markov processes. All the states and the rules for transitions between them must be known in advance. We can then…

其他凝聚态物理 · 物理学 2009-11-11 Semen A. Trygubenko , David J. Wales

In this paper, we present a contraction-guided adaptive partitioning algorithm for improving interval-valued robust reachable set estimates in a nonlinear feedback loop with a neural network controller and disturbances. Based on an estimate…

系统与控制 · 电气工程与系统科学 2024-01-23 Akash Harapanahalli , Saber Jafarpour , Samuel Coogan

An abstract network approach is proposed for the description of the dynamics in reactive processes. The phase space of the variables (concentrations in reactive systems) is partitioned into a finite number of segments, which constitute the…

统计力学 · 物理学 2015-06-17 A. Provata , E. Panagakou

We consider a class of adaptive network models where links can only be created or deleted between nodes in different states. These models provide an approximate description of a set of systems where nodes represent agents moving in physical…

物理与社会 · 物理学 2016-08-24 Li Chen , Cristián Huepe , Thilo Gross

Adaptive inference is a promising technique to improve the computational efficiency of deep models at test time. In contrast to static models which use the same computation graph for all instances, adaptive networks can dynamically adjust…

计算机视觉与模式识别 · 计算机科学 2019-08-20 Hao Li , Hong Zhang , Xiaojuan Qi , Ruigang Yang , Gao Huang

A classic approach for solving differential equations with neural networks builds upon neural forms, which employ the differential equation with a discretisation of the solution domain. Making use of neural forms for time-dependent…

神经与进化计算 · 计算机科学 2022-09-02 Toni Schneidereit , Michael Breuß

Assessing where and how information is stored in biological networks (such as neuronal and genetic networks) is a central task both in neuroscience and in molecular genetics, but most available tools focus on the network's structure as…

信息论 · 计算机科学 2023-02-24 Clifford Bohm , Douglas Kirkpatrick , Victoria Cao , Christoph Adami

An important problem in network analysis is predicting a node attribute using both network covariates, such as graph embedding coordinates or local subgraph counts, and conventional node covariates, such as demographic characteristics.…

统计方法学 · 统计学 2023-02-24 Robert Lunde , Elizaveta Levina , Ji Zhu

This paper introduces Adaptive Computation Time (ACT), an algorithm that allows recurrent neural networks to learn how many computational steps to take between receiving an input and emitting an output. ACT requires minimal changes to the…

神经与进化计算 · 计算机科学 2017-02-22 Alex Graves

We present a simple model of network dynamics that can be solved analytically for uniform networks. We obtain the dynamics of response of the system to perturbations. The analytical solution is an excellent approximation for random…

元胞自动机与格子气 · 物理学 2009-11-11 M. A. M. de Aguiar , Irving R. Epstein , Yaneer Bar-Yam

We demonstrate the power of 2D tensor networks for obtaining large deviation functions of dynamical observables in a classical nonequilibrium setting. Using these methods, we analyze the previously unstudied dynamical phase behavior of the…

统计力学 · 物理学 2020-10-07 Phillip Helms , Garnet Kin-Lic Chan

Many real-world systems can be modeled as interconnected multilayer networks, namely a set of networks interacting with each other. Here we present a perturbative approach to study the properties of a general class of interconnected…

物理与社会 · 物理学 2018-07-10 Giacomo Rapisardi , Alex Arenas , Guido Caldarelli , Giulio Cimini

This paper is concerned with the estimation of time-varying networks for high-dimensional nonstationary time series. Two types of dynamic behaviors are considered: structural breaks (i.e., abrupt change points) and smooth changes. To…

统计理论 · 数学 2020-02-19 Mengyu Xu , Xiaohui Chen , Wei Biao Wu