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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…

Physics and Society · Physics 2022-06-28 Yan Zhang , Yu Guo , Zhang Zhang , Mengyuan Chen , Shuo Wang , Jiang Zhang

This paper presents a framework for binary autoregressive time series in which each observation is a Bernoulli variable whose success probability evolves with past outcomes and probabilities, in the spirit of GARCH-type dynamics,…

Econometrics · Economics 2026-04-17 Anna Bykhovskaya , Nour Meddahi

Link prediction is an important network science problem in many domains such as social networks, chem/bio-informatics, etc. Most of these networks are dynamic in nature with patterns evolving over time. In such cases, it is necessary to…

Social and Information Networks · Computer Science 2015-09-18 Jeyanthi Narasimhan , Lawrence Holder

Discovering causal relations among observed variables in a given data set is a main topic in studies of statistics and artificial intelligence. Recently, some techniques to discover an identifiable causal structure have been explored based…

Machine Learning · Computer Science 2012-02-20 Takanori Inazumi , Takashi Washio , Shohei Shimizu , Joe Suzuki , Akihiro Yamamoto , Yoshinobu Kawahara

To understand, predict, and control complex networked systems, a prerequisite is to reconstruct the network structure from observable data. Despite recent progress in network reconstruction, binary-state dynamics that are ubiquitous in…

Physics and Society · Physics 2017-03-08 Jingwen Li , Zhesi Shen , Wen-Xu Wang , Celso Grebogi , Ying-Cheng Lai

The Dirichlet Belief Network~(DirBN) has been recently proposed as a promising approach in learning interpretable deep latent representations for objects. In this work, we leverage its interpretable modelling architecture and propose a deep…

Machine Learning · Computer Science 2020-04-30 Yaqiong Li , Xuhui Fan , Ling Chen , Bin Li , Zheng Yu , Scott A. Sisson

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

We present a statistical framework for generating predicted dynamic networks based on the observed evolution of social relationships in a population. The framework includes a novel and flexible procedure to sample dynamic networks given a…

Social and Information Networks · Computer Science 2020-10-14 Ravi Goyal , Victor De Gruttola

Click prediction is one of the fundamental problems in sponsored search. Most of existing studies took advantage of machine learning approaches to predict ad click for each event of ad view independently. However, as observed in the…

Information Retrieval · Computer Science 2014-07-29 Yuyu Zhang , Hanjun Dai , Chang Xu , Jun Feng , Taifeng Wang , Jiang Bian , Bin Wang , Tie-Yan Liu

In todays age of data, discovering relationships between different variables is an interesting and a challenging problem. This problem becomes even more critical with regards to complex dynamical systems like weather forecasting and…

Data Analysis, Statistics and Probability · Physics 2021-02-01 Sachin Kasture

Topic models and all their variants analyse text by learning meaningful representations through word co-occurrences. As pointed out by Williamson et al. (2010), such models implicitly assume that the probability of a topic to be active and…

Computation and Language · Computer Science 2023-01-27 Kostadin Cvejoski , Ramsés J. Sánchez , César Ojeda

Causal discovery from observational data is challenging, especially with large datasets and complex relationships. Traditional methods often struggle with scalability and capturing global structural information. To overcome these…

Machine Learning · Computer Science 2025-07-29 Rezaur Rashid , Gabriel Terejanu

Latent linear dynamical systems with Bernoulli observations provide a powerful modeling framework for identifying the temporal dynamics underlying binary time series data, which arise in a variety of contexts such as binary decision-making…

Machine Learning · Statistics 2023-07-28 Iris R. Stone , Yotam Sagiv , Il Memming Park , Jonathan W. Pillow

Almost all real-world networks are subject to constant evolution, and plenty of evolving networks have been investigated to uncover the underlying mechanisms for a deeper understanding of the organization and development of them. Compared…

Social and Information Networks · Computer Science 2016-10-12 Tao Wu , Leiting Chen

Discovering causal relationships between different variables from time series data has been a long-standing challenge for many domains such as climate science, finance, and healthcare. Given the complexity of real-world relationships and…

Machine Learning · Computer Science 2022-10-27 Wenbo Gong , Joel Jennings , Cheng Zhang , Nick Pawlowski

Recent advances in Neural Variational Inference allowed for a renaissance in latent variable models in a variety of domains involving high-dimensional data. While traditional variational methods derive an analytical approximation for the…

Machine Learning · Computer Science 2019-08-20 Alexander I. Cowen-Rivers , Pasquale Minervini , Tim Rocktaschel , Matko Bosnjak , Sebastian Riedel , Jun Wang

Modeling inter-dependencies between time-series is the key to achieve high performance in anomaly detection for multivariate time-series data. The de-facto solution to model the dependencies is to feed the data into a recurrent neural…

Machine Learning · Computer Science 2021-08-17 Yuhang Wu , Mengting Gu , Lan Wang , Yusan Lin , Fei Wang , Hao Yang

Link prediction has aroused extensive attention since it can both discover hidden connections and predict future links in the networks. Many unsupervised link prediction algorithms have been proposed to find these links in a variety of…

Social and Information Networks · Computer Science 2021-05-10 Jingwei Wang , Yunlong Ma , Yun Yuan

Graphs are a powerful representation tool in machine learning applications, with link prediction being a key task in graph learning. Temporal link prediction in dynamic networks is of particular interest due to its potential for solving…

Machine Learning · Computer Science 2024-01-17 Sanaz Hasanzadeh Fard , Mohammad Ghassemi

Generative, temporal network models play an important role in analyzing the dependence structure and evolution patterns of complex networks. Due to the complicated nature of real network data, it is often naive to assume that the underlying…

Methodology · Statistics 2024-08-15 Daniel Cirkovic , Tiandong Wang , Xianyang Zhang
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