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The vector autoregression (VAR) has been widely used in system identification, econometrics, natural science, and many other areas. However, when the state dimension becomes large the parameter dimension explodes. So rank reduced modelling…

Methodology · Statistics 2024-10-04 Xinhui Rong , Victor Solo

Identifying network Granger causality in large vector autoregressive (VAR) models enhances explanatory power by capturing complex dependencies among variables. This study proposes a methodology that explores latent community structures to…

Methodology · Statistics 2026-04-14 Younghoon Kim , Changryong Baek

Trajectory data generation is an important domain that characterizes the generative process of mobility data. Traditional methods heavily rely on predefined heuristics and distributions and are weak in learning unknown mechanisms. Inspired…

Computer Vision and Pattern Recognition · Computer Science 2020-09-22 Liming Zhang , Liang Zhao , Dieter Pfoser

Continuous-time series is essential for different modern application areas, e.g. healthcare, automobile, energy, finance, Internet of things (IoT) and other related areas. Different application needs to process as well as analyse a massive…

Machine Learning · Computer Science 2024-09-17 Mansura Habiba , Barak A. Pearlmutter , Mehrdad Maleki

Visual Autoregressive (VAR) has emerged as a promising approach in image generation, offering competitive potential and performance comparable to diffusion-based models. However, current AR-based visual generation models require substantial…

Computer Vision and Pattern Recognition · Computer Science 2024-11-27 Rui Xie , Tianchen Zhao , Zhihang Yuan , Rui Wan , Wenxi Gao , Zhenhua Zhu , Xuefei Ning , Yu Wang

This paper investigates an important problem of an appropriate variance-covariance matrix estimation in the Modern Portfolio Theory. We propose a novel framework for variancecovariance matrix estimation for purposes of the portfolio…

Portfolio Management · Quantitative Finance 2025-08-22 Maciej Wysocki , Paweł Sakowski

Time-series forecasting is one of the most active research topics in artificial intelligence. Applications in real-world time series should consider two factors for achieving reliable predictions: modeling dynamic dependencies among…

Machine Learning · Computer Science 2021-05-28 Gabriel Spadon , Shenda Hong , Bruno Brandoli , Stan Matwin , Jose F. Rodrigues-Jr , Jimeng Sun

The paper describes the deep learning approach for forecasting non-stationary time series with using time trend correction in a neural network model. Along with the layers for predicting sales values, the neural network model includes a…

Machine Learning · Computer Science 2022-05-25 Bohdan M. Pavlyshenko

Time series prediction with deep learning methods, especially long short-term memory neural networks (LSTMs), have scored significant achievements in recent years. Despite the fact that the LSTMs can help to capture long-term dependencies,…

Machine Learning · Computer Science 2018-11-12 Youru Li , Zhenfeng Zhu , Deqiang Kong , Hua Han , Yao Zhao

Real-world dark images commonly exhibit not only low visibility and contrast but also complex noise and blur, posing significant restoration challenges. Existing methods often rely on paired data or fail to model dynamic illumination and…

Computer Vision and Pattern Recognition · Computer Science 2025-11-25 Wei Dong , Han Zhou , Junwei Lin , Jun Chen

Volatility for financial assets returns can be used to gauge the risk for financial market. We propose a deep stochastic volatility model (DSVM) based on the framework of deep latent variable models. It uses flexible deep learning models to…

Machine Learning · Computer Science 2021-02-26 Xiuqin Xu , Ying Chen

We study the dynamic portfolio selection of an investor who uses deep learning methods to forecast stock market excess returns. In a two-asset allocation problem, deep neural networks -- both feedforward and long short-term memory (LSTM)…

General Finance · Quantitative Finance 2026-02-16 Mykola Babiak , Jozef Barunik

This paper aims to decompose a large dimensional vector autoregessive (VAR) model into two components, the first one being generated by a small-scale VAR and the second one being a white noise sequence. Hence, a reduced number of common…

Econometrics · Economics 2022-02-22 Gianluca Cubadda , Alain Hecq

When dealing with time series data, causal inference methods often employ structural vector autoregressive (SVAR) processes to model time-evolving random systems. In this work, we rephrase recursive SVAR processes with possible latent…

Statistics Theory · Mathematics 2024-08-19 Nicolas-Domenic Reiter , Andreas Gerhardus , Jonas Wahl , Jakob Runge

We propose a multiscale approach to time series autoregression, in which linear regressors for the process in question include features of its own path that live on multiple timescales. We take these multiscale features to be the recent…

Methodology · Statistics 2024-12-17 Rafal Baranowski , Yining Chen , Piotr Fryzlewicz

Forecasting with multivariate time series, which aims to predict future values given previous and current several univariate time series data, has been studied for decades, with one example being ARIMA. Because it is difficult to measure…

Artificial Intelligence · Computer Science 2020-10-19 Youngjin Park , Deokjun Eom , Byoungki Seo , Jaesik Choi

Many complex dynamical phenomena can be effectively modeled by a system that switches among a set of conditionally linear dynamical modes. We consider two such models: the switching linear dynamical system (SLDS) and the switching vector…

Methodology · Statistics 2015-05-18 Emily B. Fox , Erik B. Sudderth , Michael I. Jordan , Alan S. Willsky

Prediction of trajectories such as that of pedestrians is crucial to the performance of autonomous agents. While previous works have leveraged conditional generative models like GANs and VAEs for learning the likely future trajectories,…

Computer Vision and Pattern Recognition · Computer Science 2020-09-22 Apratim Bhattacharyya , Christoph-Nikolas Straehle , Mario Fritz , Bernt Schiele

In the context of supervised learning of a function by a neural network, we claim and empirically verify that the neural network yields better results when the distribution of the data set focuses on regions where the function to learn is…

Machine Learning · Statistics 2022-09-28 Paul Novello , Gaël Poëtte , David Lugato , Pietro Congedo

We develop an end-to-end deep learning-based anomaly detection model for temporal data in transportation networks. The proposed EVT-LSTM model is derived from the popular LSTM (Long Short-Term Memory) network and adopts an objective…

Machine Learning · Computer Science 2019-11-21 Neema Davis , Gaurav Raina , Krishna Jagannathan