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Representation learning over graph structured data has been mostly studied in static graph settings while efforts for modeling dynamic graphs are still scant. In this paper, we develop a novel hierarchical variational model that introduces…

Machine Learning · Computer Science 2020-04-24 Ehsan Hajiramezanali , Arman Hasanzadeh , Nick Duffield , Krishna R Narayanan , Mingyuan Zhou , Xiaoning Qian

This paper introduces a spatiotemporal exponential generalised autoregressive conditional heteroscedasticity (spatiotemporal E-GARCH) model, extending traditional spatiotemporal GARCH models by incorporating asymmetric volatility…

Applications · Statistics 2025-11-10 Ariane Nidelle Meli Chrisko , Philipp Otto , Wolfgang Schmid

Granular instrumental variables (GIV) has experienced sharp growth in empirical macro-finance. The methodology's rise showcases granularity's potential for identification across many economic environments, like the estimation of spillovers…

Econometrics · Economics 2026-05-28 Eric Qian

Graph representation learning (GRL) has emerged as an effective technique for modeling graph-structured data. When modeling heterogeneity and dynamics in real-world complex networks, GRL methods designed for complex heterogeneous temporal…

Social and Information Networks · Computer Science 2026-05-19 Huan Liu , Pengfei Jiao , Mengzhou Gao , Chaochao Chen , Di Jin

Learning representations for graphs plays a critical role in a wide spectrum of downstream applications. In this paper, we summarize the limitations of the prior works in three folds: representation space, modeling dynamics and modeling…

Machine Learning · Computer Science 2021-04-07 Li Sun , Zhongbao Zhang , Jiawei Zhang , Feiyang Wang , Hao Peng , Sen Su , Philip S. Yu

This paper proposes two distinct contributions to econometric analysis of large information sets and structural instabilities. First, it treats a regression model with time-varying coefficients, stochastic volatility and exogenous…

Methodology · Statistics 2020-04-27 Dimitris Korobilis

The hybrid Monte Carlo (HMC) algorithm is applied for the Bayesian inference of the stochastic volatility (SV) model. We use the HMC algorithm for the Markov chain Monte Carlo updates of volatility variables of the SV model. First we…

Computational Finance · Quantitative Finance 2010-12-30 Tetsuya Takaishi

This paper introduces the Gaussian multi-Graphical Model, a model to construct sparse graph representations of matrix- and tensor-variate data. We generalize prior work in this area by simultaneously learning this representation across…

Machine Learning · Statistics 2024-02-28 Bailey Andrew , David Westhead , Luisa Cutillo

The heterogeneous autoregressive (HAR) model is revised by modeling the joint distribution of the four partial-volatility terms therein involved. Namely, today's, yesterday's, last week's and last month's volatility components. The joint…

Econometrics · Economics 2019-07-22 Martin Magris

The Gaussian process latent variable model (GP-LVM) is a popular approach to non-linear probabilistic dimensionality reduction. One design choice for the model is the number of latent variables. We present a spike and slab prior for the…

Machine Learning · Statistics 2015-05-12 Zhenwen Dai , James Hensman , Neil Lawrence

We propose a Neural Hidden Markov Model (HMM) with Adaptive Granularity Attention (AGA) for high-frequency order flow modeling. The model addresses the challenge of capturing multi-scale temporal dynamics in financial markets, where…

Statistical Finance · Quantitative Finance 2026-03-24 Tianzuo Hu

Motion prediction systems aim to capture the future behavior of traffic scenarios enabling autonomous vehicles to perform safe and efficient planning. The evolution of these scenarios is highly uncertain and depends on the interactions of…

Artificial Intelligence · Computer Science 2022-12-08 Sandra Carrasco Limeros , Sylwia Majchrowska , Joakim Johnander , Christoffer Petersson , David Fernández Llorca

Autonomous driving has witnessed incredible advances in the past several decades, while Multi-Agent Reinforcement Learning (MARL) promises to satisfy the essential need of autonomous vehicle control in a wireless connected vehicle networks.…

Multiagent Systems · Computer Science 2023-03-24 Baidi Xiao , Rongpeng Li , Fei Wang , Chenghui Peng , Jianjun Wu , Zhifeng Zhao , Honggang Zhang

Accurate multivariate time series forecasting hinges on inter-series correlations, which often evolve in complex ways across different temporal scales. Existing methods are limited in modeling these multi-scale dependencies and struggle to…

Machine Learning · Computer Science 2026-01-27 Shaoxun Wang , Xingjun Zhang , Qianyang Li , Jiawei Cao , Zhendong Tan

Multivariate time series forecasting is a challenging task because the data involves a mixture of long- and short-term patterns, with dynamic spatio-temporal dependencies among variables. Existing graph neural networks (GNN) typically model…

Machine Learning · Computer Science 2021-12-08 Zhuoling Li , Gaowei Zhang , Lingyu Xu , Jie Yu

We present a novel methodology for modeling and forecasting multivariate realized volatilities using customized graph neural networks to incorporate spillover effects across stocks. The proposed model offers the benefits of incorporating…

Statistical Finance · Quantitative Finance 2023-08-04 Chao Zhang , Xingyue Pu , Mihai Cucuringu , Xiaowen Dong

Despite the impressive success of deep neural networks in many application areas, neural network models have so far not been widely adopted in the context of volatility forecasting. In this work, we aim to bridge the conceptual gap between…

Econometrics · Economics 2022-05-17 Rafael Reisenhofer , Xandro Bayer , Nikolaus Hautsch

We discuss the Gaussian graphical model (GGM; an undirected network of partial correlation coefficients) and detail its utility as an exploratory data analysis tool. The GGM shows which variables predict one-another, allows for sparse…

Methodology · Statistics 2018-02-09 Sacha Epskamp , Lourens J. Waldorp , René Mõttus , Denny Borsboom

Accurately predicting stock market movements remains a formidable challenge due to the inherent volatility and complex interdependencies among stocks. Although multi-scale Graph Neural Networks (GNNs) hold potential for modeling these…

Machine Learning · Computer Science 2025-11-04 Xiaosha Xue , Peibo Duan , Zhipeng Liu , Qi Chu , Changsheng Zhang , Bin zhang

Discrete choice models (DCMs) are used to analyze individual decision-making in contexts such as transportation choices, political elections, and consumer preferences. DCMs play a central role in applied econometrics by enabling inference…

Machine Learning · Statistics 2025-12-19 Daniel F. Villarraga , Ricardo A. Daziano