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We propose a conceptually novel method of reconstructing the topology of dynamical networks. By examining the correlation between the variable of one node and the derivative of another node, we derive a simple matrix equation yielding the…

数据分析、统计与概率 · 物理学 2015-06-11 Zoran Levnajić

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

A new renormalization group approach that maps lattice problems to tensor networks may hold the key to solving seemingly intractable models of strongly correlated systems in any dimension. A Physics Viewpoint on arXiv:0903.1069

强关联电子 · 物理学 2010-06-04 Subir Sachdev

This paper has been withdrawn. With the advancement of statistical theory and computing power, data sets are providing a greater amount of insight into the problems of today. Statisticians have an ever increasing number of tools to attack…

统计理论 · 数学 2012-12-20 Derek S. Young

We introduce a general and comprehensive model for the design and optimization of Virtual Networks, and for the related concept of Network Slicing. The model is flexible, so that by adjusting some of its elements, it can accommodate many…

网络与互联网体系结构 · 计算机科学 2020-11-06 András Faragó

Model merging, particularly through weight averaging, has shown surprising effectiveness in saving computations and improving model performance without any additional training. However, the interpretability of why and how this technique…

机器学习 · 计算机科学 2025-08-20 Hu Wang , Congbo Ma , Ibrahim Almakky , Ian Reid , Gustavo Carneiro , Mohammad Yaqub

We introduce recurrent neural network grammars, probabilistic models of sentences with explicit phrase structure. We explain efficient inference procedures that allow application to both parsing and language modeling. Experiments show that…

计算与语言 · 计算机科学 2016-10-13 Chris Dyer , Adhiguna Kuncoro , Miguel Ballesteros , Noah A. Smith

Until recently, artificial neural networks were typically designed with a fixed network structure. Here, I argue that network structure is highly relevant to function, and therefore neural networks should be livewired (Eagleman 2020):…

神经与进化计算 · 计算机科学 2021-05-19 Thomas Schumacher

Recurrent neural networks (RNNs) are nonlinear dynamical models commonly used in the machine learning and dynamical systems literature to represent complex dynamical or sequential relationships between variables. More recently, as deep…

统计方法学 · 统计学 2018-02-08 Patrick L. McDermott , Christopher K. Wikle

A method of network reconstruction from the dynamical time series is introduced, relying on the concept of derivative-variable correlation. Using a tunable observable as a parameter, the reconstruction of any network with known interaction…

数据分析、统计与概率 · 物理学 2013-10-29 Zoran Levnajić , Arkady Pikovsky

In this work, we present a novel tool for reconstructing networks from corrupted images. The reconstructed network is the result of a minimization problem that has a misfit term with respect to the observed data, and a physics-based…

数值分析 · 数学 2024-05-24 Enrico Facca , Jan Martin Nordbotten , Erik Andreas Hanson

In this paper, we propose and investigate a new neural network architecture called Neural Random Access Machine. It can manipulate and dereference pointers to an external variable-size random-access memory. The model is trained from pure…

机器学习 · 计算机科学 2016-02-11 Karol Kurach , Marcin Andrychowicz , Ilya Sutskever

In many real-world complex systems, the time-evolution of the network's structure and the dynamic state of its nodes are closely entangled. Here, we study opinion formation and imitation on an adaptive complex network which is dependent on…

物理与社会 · 物理学 2016-04-11 Marc Wiedermann , Jonathan F. Donges , Jobst Heitzig , Wolfgang Lucht , Jürgen Kurths

Network models provide an efficient way to represent many real life problems mathematically. In the last few decades, the field of network optimization has witnessed an upsurge of interest among researchers and practitioners. The network…

人工智能 · 计算机科学 2021-03-16 Saibal Majumder

Correct inference of genetic regulations inside a cell is one of the greatest challenges in post genomic era for the biologist and researchers. Several intelligent techniques and models were already proposed to identify the regulatory…

人工智能 · 计算机科学 2017-08-03 Sudip Mandal , Goutam Saha , Rajat K. Pal

Real-world complex systems exhibit intricate interconnections and dependencies, especially social networks, technological infrastructures, and communication networks. These networks are prone to disconnection due to random failures or…

社会与信息网络 · 计算机科学 2025-05-23 Rajesh Kumar , Suchi Kumari , Anubhav Mishra

To provide a phenomenological theory for the various interesting transitions in restructuring networks we employ a statistical mechanical approach with detailed balance satisfied for the transitions between topological states. This enables…

统计力学 · 物理学 2007-05-23 Imre Derenyi , Illes Farkas , Gergely Palla , Tamas Vicsek

We propose a simple, training-free mechanism which explains the generalization behaviour of diffusion models. By comparing pre-trained diffusion models to their theoretically optimal empirical counterparts, we identify a shared local…

机器学习 · 计算机科学 2025-06-11 Matthew Niedoba , Berend Zwartsenberg , Kevin Murphy , Frank Wood

We present a brief introduction to a flexible, general network inference framework which models data as a network space, sampled to optimize network structure to a particular task. We introduce a formal problem statement related to…

社会与信息网络 · 计算机科学 2017-05-03 Ivan Brugere , Chris Kanich , Tanya Y. Berger-Wolf

We introduce a broad class of analytically solvable processes on networks. In the special case, they reduce to random walk and consensus process - two most basic processes on networks. Our class differs from previous models of interactions…

物理与社会 · 物理学 2012-03-12 Daniel Smilkov , Ljupco Kocarev
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