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This paper proposes a task-agnostic discovery layer for multivariate time series that constructs a relational hypothesis graph over entities without assuming linearity, stationarity, or a downstream objective. The method learns window-level…

Machine Learning · Computer Science 2026-01-28 Olusegun Owoeye

Deep features have been proven powerful in building accurate dense semantic correspondences in various previous works. However, the multi-scale and pyramidal hierarchy of convolutional neural networks has not been well studied to learn…

Computer Vision and Pattern Recognition · Computer Science 2021-08-30 Dongyang Zhao , Ziyang Song , Zhenghao Ji , Gangming Zhao , Weifeng Ge , Yizhou Yu

Based on the binary time series data of social infection dynamics, we propose a general framework to reconstruct 2-simplex complexes with two-body and three-body interactions by combining the maximum likelihood estimation in statistical…

Physics and Society · Physics 2023-07-25 Kaiwei Liu , Xing Lv , Fei Gao , Jiang Zhang

Collaboration networks are studied as an example of growing bipartite networks. These have been previously observed to have structure such as positive correlations between nearest-neighbour degrees. However, a detailed understanding of the…

Physics and Society · Physics 2009-11-11 Matti Peltomaki , Mikko Alava

The way the topological structure goes from a decoupled state into a coupled one in multiplex networks has been widely studied by means of analytical and numerical studies, involving models of artificial networks. In general, these…

Physics and Society · Physics 2018-08-15 Johann H. Martínez , Stefano Boccaletti , Vladimir V. Makarov , Javier M. Buldú

Multiplex networks describe a large variety of complex systems, whose elements (nodes) can be connected by different types of interactions forming different layers (networks) of the multiplex. Multiplex networks include social networks,…

Physics and Society · Physics 2015-10-29 Jacopo Iacovacci , Zhihao Wu , Ginestra Bianconi

In a general setting, we study a posteriori estimates used in finite element analysis to measure the error between a solution and its approximation. The latter is not necessarily generated by a finite element method. We show that the error…

Numerical Analysis · Mathematics 2025-07-09 Thomas Führer , Sergio Rojas

A typical complex system should be described by a supernetwork or a network of networks, in which the networks are coupled to some other networks. As the first step to understanding the complex systems on such more systematic level,…

Physics and Society · Physics 2015-05-20 Xiu-Lian Xu , Yan-Qin Qu , Shan Guan , Yu-Mei Jiang , Da-Ren He

Latent space models are frequently used for modeling single-layer networks and include many popular special cases, such as the stochastic block model and the random dot product graph. However, they are not well-developed for more complex…

Methodology · Statistics 2021-07-09 Peter W. MacDonald , Elizaveta Levina , Ji Zhu

Elements composing complex systems usually interact in several different ways and as such the interaction architecture is well modelled by a multiplex network. However often this architecture is hidden, as one usually only has experimental…

To improve the accuracy of network-based SIS models we introduce and study a multilayer representation of a time-dependent network. In particular, we assume that individuals have their long-term (permanent) contacts that are always present,…

Physics and Society · Physics 2018-12-13 Aram Vajdi , David Juher , Joan Saldana , Caterina Scoglio

Designing architectures for deep neural networks requires expert knowledge and substantial computation time. We propose a technique to accelerate architecture selection by learning an auxiliary HyperNet that generates the weights of a main…

Machine Learning · Computer Science 2017-08-18 Andrew Brock , Theodore Lim , J. M. Ritchie , Nick Weston

Optimal reconstruction of a source sequence from multiple noisy traces corrupted by random insertions, deletions, and substitutions typically requires joint processing of all traces, leading to computational complexity that grows…

Information Theory · Computer Science 2026-01-28 Aria Nouri

Predicting missing links in real networks is an important problem in network science to which considerable efforts have been devoted, giving as a result a vast plethora of link prediction methods in the literature. In this work, we take a…

Physics and Society · Physics 2019-02-04 Guillermo García-Pérez , Roya Aliakbarisani , Abdorasoul Ghasemi , M. Ángeles Serrano

We present an analysis of different techniques for selecting the connection be- tween layers of deep neural networks. Traditional deep neural networks use ran- dom connection tables between layers to keep the number of connections small and…

Computer Vision and Pattern Recognition · Computer Science 2013-06-04 Eugenio Culurciello , Jonghoon Jin , Aysegul Dundar , Jordan Bates

Networks underpin systems that range from finance to biology, yet their structure is often only partially observed. Current reconstruction methods typically fit the parameters of a model anew to each snapshot, thus offering no guidance to…

Physics and Society · Physics 2026-05-28 Mattia Marzi , Tiziano Squartini

Complex networks hosting binary-state dynamics arise in a variety of contexts. In spite of previous works, to fully reconstruct the network structure from observed binary data remains to be challenging. We articulate a statistical inference…

Physics and Society · Physics 2018-03-14 Chuang Ma , Han-Shuang Chen , Ying-Cheng Lai , Hai-Feng Zhang

Currently, most deep learning methods cannot solve the problem of scarcity of industrial product defect samples and significant differences in characteristics. This paper proposes an unsupervised defect detection algorithm based on a…

Computer Vision and Pattern Recognition · Computer Science 2022-12-27 Chao Hu , Jian Yao , Weijie Wu , Weibin Qiu , Liqiang Zhu

Link prediction is a fundamental task in statistical network analysis. Recent advances have been made on learning flexible nonparametric Bayesian latent feature models for link prediction. In this paper, we present a max-margin learning…

Machine Learning · Computer Science 2016-02-25 Jun Zhu , Jiaming Song , Bei Chen

Real-world network datasets are typically obtained in ways that fail to capture all edges. The patterns of missing data are often non-uniform as they reflect biases and other shortcomings of different data collection methods. Nevertheless,…

Dynamical Systems · Mathematics 2025-04-25 Xie He , Amir Ghasemian , Eun Lee , Alice Schwarze , Aaron Clauset , Peter J. Mucha