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Vector autoregressive (VAR) models are widely used in multivariate time series analysis for describing the short-time dynamics of the data. The reduced-rank VAR models are of particular interest when dealing with high-dimensional and highly…

Statistics Theory · Mathematics 2023-05-02 Farida Enikeeva , Olga Klopp , Mathilde Rousselot

We propose Significance-Offset Convolutional Neural Network, a deep convolutional network architecture for regression of multivariate asynchronous time series. The model is inspired by standard autoregressive (AR) models and gating…

Machine Learning · Computer Science 2018-06-13 Mikołaj Bińkowski , Gautier Marti , Philippe Donnat

Models characterized by autoregressive structure and random coefficients are powerful tools for the analysis of high-frequency, high-dimensional and volatile time series. The available literature on such models is broad, but also sectorial,…

Methodology · Statistics 2020-09-18 Marta Regis , Paulo Serra , Edwin R. van den Heuvel

This paper focuses on recursive estimation of time varying autoregressive processes in a nonparametric setting. The stability of the model is revisited and uniform results are provided when the time-varying autoregressive parameters belong…

Statistics Theory · Mathematics 2007-06-13 Eric Moulines , Pierre Priouret , François Roueff

Time Series forecasting (univariate and multivariate) is a problem of high complexity due the different patterns that have to be detected in the input, ranging from high to low frequencies ones. In this paper we propose a new model for…

Machine Learning · Computer Science 2019-03-07 Matteo Maggiolo , Gerasimos Spanakis

Change points in real-world systems mark significant regime shifts in system dynamics, possibly triggered by exogenous or endogenous factors. These points define regimes for the time evolution of the system and are crucial for understanding…

Machine Learning · Statistics 2025-09-30 Ioanna-Yvonni Tsaknaki , Fabrizio Lillo , Piero Mazzarisi

Continuous-time long-term event prediction plays an important role in many application scenarios. Most existing works rely on autoregressive frameworks to predict event sequences, which suffer from error accumulation, thus compromising…

Machine Learning · Computer Science 2023-11-03 Wang-Tao Zhou , Zhao Kang , Ling Tian

This paper introduces StockGPT, an autoregressive ``number'' model trained and tested on 70 million daily U.S.\ stock returns over nearly 100 years. Treating each return series as a sequence of tokens, StockGPT automatically learns the…

Computational Finance · Quantitative Finance 2024-10-24 Dat Mai

The forecasting of multi-variate time processes through graph-based techniques has recently been addressed under the graph signal processing framework. However, problems in the representation and the processing arise when each time series…

Signal Processing · Electrical Eng. & Systems 2020-04-20 Alberto Natali , Elvin Isufi , Geert Leus

In this contribution we introduce weakly locally stationary time series through the local approximation of the non-stationary covariance structure by a stationary one. This allows us to define autoregression coefficients in a non-stationary…

Statistics Theory · Mathematics 2018-01-16 François Roueff , Andres Sanchez-Perez

In this paper, we propose a new test for the detection of a change in a non-linear (auto-)regressive time series as well as a corresponding estimator for the unknown time point of the change. To this end, we consider an at-most-one-change…

Statistics Theory · Mathematics 2025-04-15 Claudia Kirch , Stefanie Schwaar

Point process modeling is gaining increasing attention, as point process type data are emerging in numerous scientific applications. In this article, motivated by a neuronal spike trains study, we propose a novel point process regression…

Methodology · Statistics 2020-12-10 Xiwei Tang , Lexin Li

We introduce an autoregressive-type model of prices in financial market taking into account the self-modulation effect. We find that traders are mainly using strategies with weighted feedbacks of past prices. These feedbacks are responsible…

Statistical Mechanics · Physics 2009-11-10 Takayuki Mizuno , Tohur Nakano , Misako Takayasu , Hideki Takayasu

Autoregressive models are ubiquitous tools for the analysis of time series in many domains such as computational neuroscience and biomedical engineering. In these domains, data is, for example, collected from measurements of brain activity.…

Signal Processing · Electrical Eng. & Systems 2023-05-02 Jonas F. Haderlein , Andre D. H. Peterson , Anthony N. Burkitt , Iven M. Y. Mareels , David B. Grayden

Trend change prediction in complex systems with a large number of noisy time series is a problem with many applications for real-world phenomena, with stock markets as a notoriously difficult to predict example of such systems. We approach…

Computational Finance · Quantitative Finance 2018-11-30 Ben Moews , J. Michael Herrmann , Gbenga Ibikunle

In this article there is no intention to repeat basic concepts about risk management, but we will try to define why often is usefull the time series analysis during the assessment of risks, and how is possible to compute a significative…

Applications · Statistics 2016-01-13 Gianluca Rosso

Technical trading represents a class of investment strategies for Financial Markets based on the analysis of trends and recurrent patterns of price time series. According standard economical theories these strategies should not be used…

Statistical Finance · Quantitative Finance 2011-10-25 Federico Garzarelli , Matthieu Cristelli , Andrea Zaccaria , Luciano Pietronero

The rapid growth of the stock market has attracted many investors due to its potential for significant profits. However, predicting stock prices accurately is difficult because financial markets are complex and constantly changing. This is…

Machine Learning · Computer Science 2024-07-17 Abdelatif Hafid , Maad Ebrahim , Ali Alfatemi , Mohamed Rahouti , Diogo Oliveira

Although conventional machine learning algorithms have been widely adopted for stock-price predictions in recent years, the massive volume of specific labeled data required are not always available. In contrast, meta-learning technology…

Machine Learning · Computer Science 2022-02-18 Shin-Hung Chang , Cheng-Wen Hsu , Hsing-Ying Li , Wei-Sheng Zeng , Jan-Ming Ho

Real-world data often exhibits sequential dependence, across diverse domains such as human behavior, medicine, finance, and climate modeling. Probabilistic methods capture the inherent uncertainty associated with prediction in these…

Machine Learning · Statistics 2024-03-08 Alex Boyd