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In this paper, it is shown that an auto-encoder using optimal reconstruction significantly outperforms a conventional auto-encoder. Optimal reconstruction uses the conditional mean of the input given the features, under a maximum entropy…

Machine Learning · Computer Science 2021-04-16 Paul M Baggenstoss

We present a numerically efficient method to reconstruct a disordered network of thin biopolymers, such as collagen gels, from three-dimensional (3D) image stacks recorded with a confocal microscope. Our method is based on a template…

Quantitative Methods · Quantitative Biology 2011-11-17 Patrick Krauss , Claus Metzner , Janina Lange , Nadine Lang , Ben Fabry

Models of networks play a major role in explaining and reproducing empirically observed patterns. Suitable models can be used to randomize an observed network while preserving some of its features, or to generate synthetic graphs whose…

Community structure is common in many real networks, with nodes clustered in groups sharing the same connections patterns. While many community detection methods have been developed for networks with binary edges, few of them are applicable…

Methodology · Statistics 2023-03-13 Andressa Cerqueira , Elizaveta Levina

Two-sample hypothesis testing for network comparison presents many significant challenges, including: leveraging repeated network observations and known node registration, but without requiring them to operate; relaxing strong structural…

Methodology · Statistics 2024-02-05 Meijia Shao , Dong Xia , Yuan Zhang , Qiong Wu , Shuo Chen

Reconstructing weighted networks from partial information is necessary in many important circumstances, e.g. for a correct estimation of systemic risk. It has been shown that, in order to achieve an accurate reconstruction, it is crucial to…

Physics and Society · Physics 2017-03-07 Tiziano Squartini , Giulio Cimini , Andrea Gabrielli , Diego Garlaschelli

Reconstructing the equation of motion and thus the network topology of a system from time series is a very important problem. Although many powerful methods have been developed, it remains a great challenge to deal with systems in high…

Adaptation and Self-Organizing Systems · Physics 2023-08-16 Zishuo Yan , Lili Gui , Kun Xu , Yueheng Lan

Resilience and robustness are important properties in the reliability and attack-tolerance analysis of networks. In recent decades, various qualitative and heuristic-based quantitative approaches have made significant contributions in…

Optimization and Control · Mathematics 2022-12-15 Milad Dehghani Filabadi

Network binarization is a promising hardware-aware direction for creating efficient deep models. Despite its memory and computational advantages, reducing the accuracy gap between binary models and their real-valued counterparts remains an…

Computer Vision and Pattern Recognition · Computer Science 2021-04-01 Adrian Bulat , Brais Martinez , Georgios Tzimiropoulos

Network-structured data becomes ubiquitous in daily life and is growing at a rapid pace. It presents great challenges to feature engineering due to the high non-linearity and sparsity of the data. The local and global structure of the…

Machine Learning · Computer Science 2025-01-31 Xin Sun , Zenghui Song , Yongbo Yu , Junyu Dong , Claudia Plant , Christian Boehm

Performing multiple experiments is common when learning internal mechanisms of complex systems. These experiments can include perturbations to parameters or external disturbances. A challenging problem is to efficiently incorporate all…

Systems and Control · Computer Science 2020-08-25 Zuogong Yue , Johan Thunberg , Wei Pan , Lennart Ljung , Jorge Goncalves

In this paper, we proposed a novel two-stage optimization method for network community partition, which is based on inherent network structure information. The introduced optimization approach utilizes the new network centrality measure of…

Social and Information Networks · Computer Science 2019-07-16 Yiguang Bai , Sanyang Liu , Ke Yin , Jing Yuan

This paper is motivated by the reconstruction problem on the sparse stochastic block model. Mossel, et. al. proved that a reconstruction algorithm that recovers an optimal fraction of the communities in the symmetric, 2-community case. The…

Probability · Mathematics 2023-12-20 Byron Chin , Allan Sly

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.…

Data Analysis, Statistics and Probability · Physics 2010-04-28 R. Guimera , M. Sales-Pardo

Event reconstruction is a central step in many particle physics experiments, turning detector observables into parameter estimates; for example estimating the energy of an interaction given the sensor readout of a detector. A corresponding…

High Energy Physics - Experiment · Physics 2023-01-11 Philipp Eller , Aaron Fienberg , Jan Weldert , Garrett Wendel , Sebastian Böser , D. F. Cowen

This paper studies the problem of recursively estimating the weighted adjacency matrix of a network out of a temporal sequence of binary-valued observations. The observation sequence is generated from nonlinear networked dynamics in which…

Systems and Control · Electrical Eng. & Systems 2019-12-06 Yu Xing , Xingkang He , Haitao Fang , Karl Henrik Johansson

\ac{fl} proposed a distributed \ac{ml} framework where every distributed worker owns a complete copy of global model and their own data. The training is occurred locally, which assures no direct transmission of training data. However, the…

Cryptography and Security · Computer Science 2021-11-08 Jia Qian , Hiba Nassar , Lars Kai Hansen

This paper proposes model reduction approaches for consensus network systems based on a given clustering of the underlying graph. Namely, given a consensus network system of time-scaled agents evolving over a weighted undirected graph and a…

Systems and Control · Electrical Eng. & Systems 2022-03-29 Ralph Sabbagh , Dany Abou Jaoude

Many complex systems change their structure over time, in these cases dynamic networks can provide a richer representation of such phenomena. As a consequence, many inference methods have been generalized to the dynamic case with the aim to…

Social and Information Networks · Computer Science 2023-10-25 Hadiseh Safdari , Martina Contisciani , Caterina De Bacco

A useful approach to the mathematical analysis of large-scale biological networks is based upon their decompositions into monotone dynamical systems. This paper deals with two computational problems associated to finding decompositions…

Molecular Networks · Quantitative Biology 2007-05-23 Bhaskar DasGupta , German Andres Enciso , Eduardo Sontag , Yi Zhang