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In this paper, we focus on learning sparse graphs with a core-periphery structure. We propose a generative model for data associated with core-periphery structured networks to model the dependence of node attributes on core scores of the…

机器学习 · 计算机科学 2021-10-11 Sravanthi Gurugubelli , Sundeep Prabhakar Chepuri

We developed a novel statistical method to identify structural differences between networks characterized by structural equation models. We propose to reparameterize the model to separate the differential structures from common structures,…

统计方法学 · 统计学 2018-10-10 Min Ren , Dabao Zhang

Modular structure is pervasive in many complex networks of interactions observed in natural, social and technological sciences. Its study sheds light on the relation between the structure and function of complex systems. Generally speaking,…

数据分析、统计与概率 · 物理学 2010-05-10 Alex Arenas , Javier Borge-Holthoefer , Sergio Gomez , Gorka Zamora-Lopez

We present an integrated approach for structure and parameter estimation in latent tree graphical models. Our overall approach follows a "divide-and-conquer" strategy that learns models over small groups of variables and iteratively merges…

机器学习 · 计算机科学 2019-12-19 Furong Huang , Niranjan U. N. , Ioakeim Perros , Robert Chen , Jimeng Sun , Anima Anandkumar

The statistical tools of Complex Network Analysis are of great use to understand salient properties of complex systems, may these be natural or pertaining human engineered infrastructures. One of these that is receiving growing attention…

物理与社会 · 物理学 2015-03-19 Giuliano Andrea Pagani , Marco Aiello

Statistical relational learning techniques have been successfully applied in a wide range of relational domains. In most of these applications, the human designers capitalized on their background knowledge by following a trial-and-error…

人工智能 · 计算机科学 2011-08-30 Lilyana Mihalkova , Walaa Eldin Moustafa

In the course of the energy transition, the expansion of generation and consumption will change, and many of these technologies, such as PV systems, electric cars and heat pumps, will influence the power flow, especially in the distribution…

The recent abundance of data on electricity consumption at different scales opens new challenges and highlights the need for new techniques to leverage information present at finer scales in order to improve forecasts at wider scales. In…

应用统计 · 统计学 2022-11-23 Anestis Antoniadis , Solenne Gaucher , Yannig Goude

Accurate predictions of electricity demands are necessary for managing operations in a small aggregation load setting like a Microgrid. Due to low aggregation, the electricity demands can be highly stochastic and point estimates would lead…

机器学习 · 计算机科学 2025-11-10 Rohit Dube , Natarajan Gautam , Amarnath Banerjee , Harsha Nagarajan

We propose a method for learning Markov network structures for continuous data without invoking any assumptions about the distribution of the variables. The method makes use of previous work on a non-parametric estimator for mutual…

机器学习 · 计算机科学 2017-08-09 Janne Leppä-aho , Santeri Räisänen , Xiao Yang , Teemu Roos

In this paper we show how to extend the known algorithm of nodal analysis in such a way that, in the case of circuits without nullors and controlled sources (but allowing for both, independent current and voltage sources), the system of…

符号计算 · 计算机科学 2009-03-13 Eberhard H. -A. Gerbracht

We consider the problem of reconstructing the dynamic state matrix of transmission power grids from time-stamped PMU measurements in the regime of ambient fluctuations. Using a maximum likelihood based approach, we construct a family of…

系统与控制 · 计算机科学 2017-10-31 Andrey Y. Lokhov , Marc Vuffray , Dmitry Shemetov , Deepjyoti Deka , Michael Chertkov

We present a noise guided trajectory based system identification method for inferring the dynamical structure from observation generated by stochastic differential equations. Our method can handle various kinds of noise, including the case…

数值分析 · 数学 2024-03-06 Ziheng Guo , Igor Cialenco , Ming Zhong

Structure learning of Gaussian graphical models is an extensively studied problem in the classical multivariate setting where the sample size n is larger than the number of random variables p, as well as in the more challenging setting when…

统计方法学 · 统计学 2012-02-20 Inma Tur , Robert Castelo

The inference of causal relationships using observational data from partially observed multivariate systems with hidden variables is a fundamental question in many scientific domains. Methods extracting causal information from conditional…

机器学习 · 统计学 2020-10-13 Daniel Chicharro , Michel Besserve , Stefano Panzeri

Log-linear models are a family of probability distributions which capture relationships between variables. They have been proven useful in a wide variety of fields such as epidemiology, economics and sociology. The interest in using these…

机器学习 · 计算机科学 2022-12-29 Jan Strappa , Facundo Bromberg

The dynamics of systems of interacting agents is determined by the structure of their coupling network. The knowledge of the latter is, therefore, highly desirable, for instance, to develop efficient control schemes, to accurately predict…

适应与自组织系统 · 物理学 2021-10-13 Melvyn Tyloo , Robin Delabays , Philippe Jacquod

The advanced operation of future electricity distribution systems is likely to require significant observability of the different parameters of interest (e.g., demand, voltages, currents, etc.). Ensuring completeness of data is, therefore,…

系统与控制 · 计算机科学 2017-08-07 Cristian Genes , Iñaki Esnaola , Samir. M. Perlaza , Luis F. Ochoa , Daniel Coca

To perform any meaningful optimization task, distribution grid operators need to know the topology of their grids. Although power grid topology identification and verification has been recently studied, discovering instantaneous interplay…

信息论 · 计算机科学 2019-11-11 Qiuling Yang , Mario Coutino , Gang Wang , Georgios B. Giannakis , Geert Leus

Motivated by recent progress in data assimilation, we develop an algorithm to dynamically learn the parameters of a chaotic system from partial observations. Under reasonable assumptions, we rigorously establish the convergence of this…

经典分析与常微分方程 · 数学 2021-08-20 Elizabeth Carlson , Joshua Hudson , Adam Larios , Vincent R. Martinez , Eunice Ng , Jared P. Whitehead