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In economic and financial applications, there is often the need for analysing multivariate time series, comprising of time series for a range of quantities. In some applications such complex systems can be associated with some underlying…

统计方法学 · 统计学 2023-09-27 Anastasia Mantziou , Mihai Cucuringu , Victor Meirinhos , Gesine Reinert

Many important problems can be modeled as a system of interconnected entities, where each entity is recording time-dependent observations or measurements. In order to spot trends, detect anomalies, and interpret the temporal dynamics of…

机器学习 · 计算机科学 2017-06-13 David Hallac , Youngsuk Park , Stephen Boyd , Jure Leskovec

Complex multilayer network datasets have become ubiquitous in various applications, including neuroscience, social sciences, economics, and genetics. Notable examples include brain connectivity networks collected across multiple patients or…

社会与信息网络 · 计算机科学 2026-03-06 Alexander Kagan , Peter W. MacDonald , Elizaveta Levina , Ji Zhu

The regression of multiple inter-connected sequence data is a problem in various disciplines. Formally, we name the regression problem of multiple inter-connected data entities as the "dynamic network regression" in this paper. Within the…

机器学习 · 计算机科学 2020-10-19 Yixin Chen , Lin Meng , Jiawei Zhang

The paper develops a general flexible framework for Network Autoregressive Processes (NAR), wherein the response of each node linearly depends on its past values, a prespecified linear combination of neighboring nodes and a set of…

统计方法学 · 统计学 2021-10-20 Hang Yin , Abolfazl Safikhani , George Michailidis

Multiple-subject network data are fast emerging in recent years, where a separate connectivity matrix is measured over a common set of nodes for each individual subject, along with subject covariates information. In this article, we propose…

统计方法学 · 统计学 2021-03-23 Jingfei Zhang , Will Wei Sun , Lexin Li

Many time series are generated by a set of entities that interact with one another over time. This paper introduces a broad, flexible framework to learn from multiple inter-dependent time series generated by such entities. Our framework…

神经与进化计算 · 计算机科学 2016-12-16 Ashish Bora , Sugato Basu , Joydeep Ghosh

Network autocorrelation models have been widely used for decades to model the joint distribution of the attributes of a network's actors. This class of models can estimate both the effect of individual characteristics as well as the network…

统计方法学 · 统计学 2020-05-20 Daniel K. Sewell

We develop the Latent Multi-group Membership Graph (LMMG) model, a model of networks with rich node feature structure. In the LMMG model, each node belongs to multiple groups and each latent group models the occurrence of links as well as…

社会与信息网络 · 计算机科学 2012-05-22 Myunghwan Kim , Jure Leskovec

Many existing statistical and machine learning tools for social network analysis focus on a single level of analysis. Methods designed for clustering optimize a global partition of the graph, whereas projection based approaches (e.g. the…

Graph neural networks (GNNs) can learn effective node representations that significantly improve link prediction accuracy. However, most GNN-based link prediction algorithms are incompetent to predict weak ties connecting different…

社会与信息网络 · 计算机科学 2024-10-22 Weiwei Gu , Linbi Lv , Gang Lu , Ruiqi Li

The problem of estimating high-dimensional network models arises naturally in the analysis of many physical, biological and socio-economic systems. Examples include stock price fluctuations in financial markets and gene regulatory networks…

统计方法学 · 统计学 2013-10-09 Sumanta Basu , Ali Shojaie , George Michailidis

Heterogeneous network data with rich nodal information become increasingly prevalent across multidisciplinary research, yet accurately modeling complex nodal heterogeneity and simultaneously selecting influential nodal attributes remains an…

统计方法学 · 统计学 2026-04-14 Zhaoyu Xing , Xiufan Yu

We address the challenge of inferring causal effects in social network data. This results in challenges due to interference -- where a unit's outcome is affected by neighbors' treatments -- and network-induced confounding factors. While…

机器学习 · 计算机科学 2026-02-20 Seyedeh Baharan Khatami , Harsh Parikh , Haowei Chen , Sudeepa Roy , Babak Salimi

\textit{Graph neural networks} (GNNs) are effective models for many dynamical systems consisting of entities and relations. Although most GNN applications assume a single type of entity and relation, many situations involve multiple types…

机器学习 · 计算机科学 2023-10-12 Ferran Alet , Erica Weng , Tomás Lozano Pérez , Leslie Pack Kaelbling

In this work, we integrate `social' interactions into the MARL setup through a user-defined relational network and examine the effects of agent-agent relations on the rise of emergent behaviors. Leveraging insights from sociology and…

人工智能 · 计算机科学 2022-07-15 Hossein Haeri , Reza Ahmadzadeh , Kshitij Jerath

We consider a setting where multiple entities inter-act with each other over time and the time-varying statuses of the entities are represented as multiple correlated time series. For example, speed sensors are deployed in different…

机器学习 · 计算机科学 2021-03-23 Razvan-Gabriel Cirstea , Chenjuan Guo , Bin Yang

We introduce a statistical regression model to investigate the impact of dyadic relations on complex networks generated from observed repeated interactions. It is based on generalised hypergeometric ensembles (gHypEG), a class of…

物理与社会 · 物理学 2020-07-21 Giona Casiraghi

We propose an autoregressive framework for modelling dynamic networks with dependent edges. It encompasses models that accommodate, for example, transitivity, degree heterogenenity, and other stylized features often observed in real network…

统计理论 · 数学 2026-03-25 Jinyuan Chang , Qin Fang , Eric D. Kolaczyk , Peter W. MacDonald , Qiwei Yao

Network modeling of high-dimensional time series data is a key learning task due to its widespread use in a number of application areas, including macroeconomics, finance and neuroscience. While the problem of sparse modeling based on…

统计方法学 · 统计学 2019-03-27 Sumanta Basu , Xianqi Li , George Michailidis