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Data reconstruction attacks on trained neural networks aim to recover the data on which the network has been trained and pose a significant threat to privacy, especially if the training dataset contains sensitive information. Here, we…

机器学习 · 计算机科学 2026-05-08 Edward Tansley , Roy Makhlouf , Estelle Massart , Coralia Cartis

Network reconstruction consists in retrieving the hidden interaction structure of a system from observations. Many reconstruction algorithms have been proposed, although less research has been devoted to describe their theoretical…

Network topology plays a key role in many phenomena, from the spreading of diseases to that of financial crises. Whenever the whole structure of a network is unknown, one must resort to reconstruction methods that identify the least biased…

数据分析、统计与概率 · 物理学 2015-06-09 Rossana Mastrandrea , Tiziano Squartini , Giorgio Fagiolo , Diego Garlaschelli

It is known that the stationary distribution of the random walk process is dependent on the structure of the network. This could provide us a solution of the network reconstruction. However, the stationary distribution of the random walk…

物理与社会 · 物理学 2016-03-17 Zhe He , Ming Li , Rui-Jie Xu , Bing-Hong Wang

Empirical data on real complex systems are becoming increasingly available. Parallel to this is the need for new methods of reconstructing (inferring) the topology of networks from time-resolved observations of their node-dynamics. The…

动力系统 · 数学 2019-09-16 Marc G. Leguia , Zoran Levnajic , Ljupco Todorovski , Bernard Zenko

Dynamics and function of neuronal networks are determined by their synaptic connectivity. Current experimental methods to analyze synaptic network structure on the cellular level, however, cover only small fractions of functional neuronal…

神经元与认知 · 定量生物学 2015-07-28 Yury V. Zaytsev , Abigail Morrison , Moritz Deger

The network structure (or topology) of a dynamical network is often unavailable or uncertain. Hence, we consider the problem of network reconstruction. Network reconstruction aims at inferring the topology of a dynamical network using…

最优化与控制 · 数学 2018-09-26 Henk J. van Waarde , Pietro Tesi , M. Kanat Camlibel

Reconstructing interactions from observational data is a critical need for investigating natural biological networks, wherein network dimensionality (i.e. number of interacting components) is usually high and interactions are time-varying.…

种群与进化 · 定量生物学 2021-02-09 Chun-Wei Chang , Takeshi Miki , Masayuki Ushio , Hsiao-Pei Lu , Fuh-Kwo Shiah , Chih-hao Hsieh

Network reconstruction is the task of inferring the unseen interactions between elements of a system, based only on their behavior or dynamics. This inverse problem is in general ill-posed, and admits many solutions for the same…

机器学习 · 统计学 2025-03-12 Tiago P. Peixoto

Analyzing relational data consisting of multiple samples or layers involves critical challenges: How many networks are required to capture the variety of structures in the data? And what are the structures of these representative networks?…

物理与社会 · 物理学 2023-06-26 Alec Kirkley , Alexis Rojas , Martin Rosvall , Jean-Gabriel Young

A challenging problem in complex networks is the network reconstruction problem from data. This work deals with a class of networks denoted as conserved networks, in which a flow associated with every edge and the flows are conserved at all…

机器学习 · 计算机科学 2020-04-14 Satya Jayadev P. , Shankar Narasimhan , Nirav Bhatt

We study the problem of graph structure identification, i.e., of recovering the graph of dependencies among time series. We model these time series data as components of the state of linear stochastic networked dynamical systems. We assume…

机器学习 · 计算机科学 2023-06-29 Sérgio Machado , Anirudh Sridhar , Paulo Gil , Jorge Henriques , José M. F. Moura , Augusto Santos

The process of destroying a complex network through node removal has been the subject of extensive interest and research. Node loss typically leaves the network disintegrated into many small and isolated clusters. Here we show that these…

物理与社会 · 物理学 2015-11-23 Lazaros K. Gallos , Nina H. Fefferman

Network analysis is currently used in a myriad of contexts: from identifying potential drug targets to predicting the spread of epidemics and designing vaccination strategies, and from finding friends to uncovering criminal activity.…

数据分析、统计与概率 · 物理学 2010-04-28 R. Guimera , M. Sales-Pardo

It is a critical issue to compute the shortest paths between nodes in networks. Exact algorithms for shortest paths are usually inapplicable for large scale networks due to the high computational complexity. In this paper, we propose a…

社会与信息网络 · 计算机科学 2015-06-29 Shi-nan Gong , Duan-bing Chen , Hui Gao , Guan-nan Wang , Liang-wei Wang

Many dynamical processes of complex systems can be understood as the dynamics of a group of nodes interacting on a given network structure. However, finding such interaction structure and node dynamics from time series of node behaviours is…

物理与社会 · 物理学 2022-06-28 Yan Zhang , Yu Guo , Zhang Zhang , Mengyuan Chen , Shuo Wang , Jiang Zhang

Many real world networks contain a statistically surprising number of certain subgraphs, called network motifs. In the prevalent approach to motif analysis, network motifs are detected by comparing subgraph frequencies in the original…

社会与信息网络 · 计算机科学 2014-11-25 Anatol E. Wegner

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

This paper studies the problem of encoding messages into sequences which can be uniquely recovered from some noisy observations about their substrings. The observed reads comprise consecutive substrings with some given minimum overlap. This…

信息论 · 计算机科学 2023-12-11 Hengjia Wei , Moshe Schwartz , Gennian Ge

Network reconstruction, i.e., obtaining network structure from data, is a central theme in systems biology, economics and engineering. In some previous work, we introduced dynamical structure functions as a tool for posing and solving the…

系统与控制 · 计算机科学 2012-09-19 Ye Yuan , Guy-Bart Stan , Sean Warnick , Jorge Goncalves