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Graphs from complex systems often share a partial underlying structure across domains while retaining individual features. Thus, identifying common structures can shed light on the underlying signal, for instance, when applied to scientific…

Methodology · Statistics 2022-04-05 Katherine Tsai , Oluwasanmi Koyejo , Mladen Kolar

Statistical properties of binary complex networks are well understood and recently many attempts have been made to extend this knowledge to weighted ones. There is, however, a subtle difference between networks where weights are continuos…

Physics and Society · Physics 2013-12-06 Oleguer Sagarra , Conrad J. Pérez-Vicente , Albert Dïaz-Guilera

Data analysis is a powerful tool in all experimental sciences. Statistical methods, such as sampling theory, computer technologies necessary for handling large amounts of data, skill in analysing information contained in different types of…

Physics Education · Physics 2012-06-20 Vera Montalbano

Probabilistic power flow (PPF) analysis is critical to power system operation and planning. PPF aims at obtaining probabilistic descriptions of the state of the system with stochastic power injections (e.g., renewable power generation and…

Systems and Control · Electrical Eng. & Systems 2023-08-23 Kejun Chen , Yu Zhang

Parameter sensitivity analysis is a powerful tool in the building and analysis of biochemical network models. For stochastic simulations, parameter sensitivity analysis can be computationally expensive, requiring multiple simulations for…

Computational Physics · Physics 2015-06-04 Patrick B. Warren , Rosalind J. Allen

Identifying a small molecule from its mass spectrum is the primary open problem in computational metabolomics. This is typically cast as information retrieval: an unknown spectrum is matched against spectra predicted computationally from a…

Machine Learning · Computer Science 2023-01-30 Michael Murphy , Stefanie Jegelka , Ernest Fraenkel , Tobias Kind , David Healey , Thomas Butler

Representation learning on graphs has been gaining attention due to its wide applicability in predicting missing links, and classifying and recommending nodes. Most embedding methods aim to preserve certain properties of the original graph…

Social and Information Networks · Computer Science 2019-09-13 Palash Goyal , Di Huang , Sujit Rokka Chhetri , Arquimedes Canedo , Jaya Shree , Evan Patterson

Deep learning models have revolutionized various fields, from image recognition to natural language processing, by achieving unprecedented levels of accuracy. However, their increasing energy consumption has raised concerns about their…

Machine Learning · Computer Science 2024-09-18 Shreyank N Gowda , Xinyue Hao , Gen Li , Shashank Narayana Gowda , Xiaobo Jin , Laura Sevilla-Lara

This paper investigates a change-point estimation problem in the context of high-dimensional Markov Random Field models. Change-points represent a key feature in many dynamically evolving network structures. The change-point estimate is…

Methodology · Statistics 2018-02-13 Sandipan Roy , Yves Atchade , George Michailidis

Multivariate Analysis is an increasingly common tool in experimental high energy physics; however, many of the common approaches were borrowed from other fields. We clarify what the goal of a multivariate algorithm should be for the search…

Data Analysis, Statistics and Probability · Physics 2014-11-18 Kyle S. Cranmer

Empirical process theory for i.i.d. observations has emerged as a ubiquitous tool for understanding the generalization properties of various statistical problems. However, in many applications where the data exhibit temporal dependencies…

Statistics Theory · Mathematics 2024-01-18 Nabarun Deb , Debarghya Mukherjee

Graph neural networks (GNNs) have limited expressive power, failing to represent many graph classes correctly. While more expressive graph representation learning (GRL) alternatives can distinguish some of these classes, they are…

Machine Learning · Computer Science 2021-12-08 Leonardo Cotta , Christopher Morris , Bruno Ribeiro

Exponential random graph models (ERGMs) are very flexible for modeling network formation but pose difficult estimation challenges due to their intractable normalizing constant. Existing methods, such as MCMC-MLE, rely on sequential…

Social and Information Networks · Computer Science 2025-02-05 Angelo Mele

This paper focuses on multirate time-domain simulations of power system models. It proposes a matrix pencil-based approach to evaluate the spurious numerical deformation introduced into power system dynamics by a given multirate integration…

Systems and Control · Electrical Eng. & Systems 2025-06-18 Liya Huang , Georgios Tzounas

Simulations with an explicit description of intermolecular forces using electronic structure methods are still not feasible for many systems of interest. As a result, empirical methods such as force fields (FF) have become an established…

Chemical Physics · Physics 2022-06-02 Moritz Thürlemann , Lennard Böselt , Sereina Riniker

Graph structure learning aims to learn connectivity in a graph from data. It is particularly important for many computer vision related tasks since no explicit graph structure is available for images for most cases. A natural way to…

Computer Vision and Pattern Recognition · Computer Science 2022-12-26 Yaohua Wang , FangYi Zhang , Ming Lin , Senzhang Wang , Xiuyu Sun , Rong Jin

For massive and heterogeneous modern datasets, it is of fundamental interest to provide guarantees on the accuracy of estimation when computational resources are limited. In the application of learning to rank, we provide a hierarchy of…

Machine Learning · Computer Science 2016-08-23 Ashish Khetan , Sewoong Oh

Modern statistical analysis often encounters high-dimensional problems but with a limited sample size. It poses great challenges to traditional statistical estimation methods. In this work, we adopt auxiliary learning to solve the…

Statistics Theory · Mathematics 2025-01-08 Hanchao Yan , Feifei Wang , Chuanxin Xia , Hansheng Wang

Statistical analysis of social networks provides valuable insights into complex network interactions across various scientific disciplines. However, accurate modeling of networks remains challenging due to the heavy computational burden and…

Social and Information Networks · Computer Science 2023-07-25 Helal El-Zaatari , Fei Yu , Michael R Kosorok

Graph randomization techniques play a crucial role in network analysis, allowing researchers to assess the statistical significance of observed network properties and distinguish meaningful patterns from random fluctuations. In this survey…

Physics and Society · Physics 2024-05-10 Bart De Clerck , Filip Van Utterbeeck , Luis E. C. Rocha
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