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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 studies high-dimensional curve time series with common stochastic trends. A dual functional factor model structure is adopted with a high-dimensional factor model for the observed curve time series and a low-dimensional factor…

Econometrics · Economics 2025-09-16 Degui Li , Yu-Ning Li , Peter C. B. Phillips

Time series clustering poses a significant challenge with diverse applications across domains. A prominent drawback of existing solutions lies in their limited interpretability, often confined to presenting users with centroids. In…

Machine Learning · Computer Science 2025-02-19 Paul Boniol , Donato Tiano , Angela Bonifati , Themis Palpanas

The accurate prediction of time-changing variances is an important task in the modeling of financial data. Standard econometric models are often limited as they assume rigid functional relationships for the variances. Moreover, function…

Methodology · Statistics 2014-02-14 Yue Wu , Jose Miguel Hernandez Lobato , Zoubin Ghahramani

Functional data analysis, which models data as realizations of random functions over a continuum, has emerged as a useful tool for time series data. Often, the goal is to infer the dynamic connections (or time-varying conditional…

Methodology · Statistics 2024-12-10 Chunshan Liu , Daniel R. Kowal , James Doss-Gollin , Marina Vannucci

Modeling and managing portfolio risk is perhaps the most important step to achieve growing and preserving investment performance. Within the modern portfolio construction framework that built on Markowitz's theory, the covariance matrix of…

Risk Management · Quantitative Finance 2021-10-28 Hengxu Lin , Dong Zhou , Weiqing Liu , Jiang Bian

Devising and analyzing learning models for spatiotemporal network data is of importance for tasks including forecasting, anomaly detection, and multi-agent coordination, among others. Graph Convolutional Neural Networks (GCNNs) are an…

Machine Learning · Computer Science 2022-07-01 Mohammad Sabbaqi , Elvin Isufi

Graph Neural Networks (GNNs) are becoming central in the study of time series, coupled with existing algorithms as Temporal Convolutional Networks and Recurrent Neural Networks. In this paper, we see time series themselves as directed…

Machine Learning · Computer Science 2023-10-05 Angelica Simonetti , Ferdinando Zanchetta

We extend and test empirically the multifractal model of asset returns based on a multiplicative cascade of volatilities from large to small time scales. The multifractal description of asset fluctuations is generalized into a multivariate…

Statistical Mechanics · Physics 2008-12-10 J. -F. Muzy , D. Sornette , J. Delour , A. Arneodo

A new standpoint on financial time series, without the use of any mathematical model and of probabilistic tools, yields not only a rigorous approach of trends and volatility, but also efficient calculations which were already successfully…

Computational Finance · Quantitative Finance 2011-05-11 Michel Fliess , Cédric Join , Frédéric Hatt

Financial transactions constitute connections between entities and through these connections a large scale heterogeneous weighted graph is formulated. In this labyrinth of interactions that are continuously updated, there exists a variety…

Machine Learning · Computer Science 2020-07-02 Antonia Gogoglou , Brian Nguyen , Alan Salimov , Jonathan Rider , C. Bayan Bruss

Temporal graph neural networks (TGNNs) have been widely used for modeling time-evolving graph-related tasks due to their ability to capture both graph topology dependency and non-linear temporal dynamic. The explanation of TGNNs is of vital…

Machine Learning · Computer Science 2022-09-05 Wenchong He , Minh N. Vu , Zhe Jiang , My T. Thai

We consider calculation of capital requirements when the underlying economic scenarios are determined by simulatable risk factors. In the respective nested simulation framework, the goal is to estimate portfolio tail risk, quantified via…

Risk Management · Quantitative Finance 2018-05-18 Michael Ludkovski , James Risk

Assessing world-wide financial integration constitutes a recurrent challenge in macroeconometrics, often addressed by visual inspections searching for data patterns. Econophysics literature enables us to build complementary, data-driven…

General Finance · Quantitative Finance 2020-01-08 Cécile Bastidon , Antoine Parent , Pablo Jensen , Patrice Abry , Pierre Borgnat

Graph deep learning methods have become popular tools to process collections of correlated time series. Unlike traditional multivariate forecasting methods, graph-based predictors leverage pairwise relationships by conditioning forecasts on…

Machine Learning · Computer Science 2025-06-09 Andrea Cini , Ivan Marisca , Daniele Zambon , Cesare Alippi

Clinical time series data are critical for patient monitoring and predictive modeling. These time series are typically multivariate and often comprise hundreds of heterogeneous features from different data sources. The grouping of features…

Machine Learning · Computer Science 2025-11-12 Fedor Sergeev , Manuel Burger , Polina Leshetkina , Vincent Fortuin , Gunnar Rätsch , Rita Kuznetsova

Time series forecasting is an extensively studied subject in statistics, economics, and computer science. Exploration of the correlation and causation among the variables in a multivariate time series shows promise in enhancing the…

Machine Learning · Computer Science 2021-04-22 Chao Shang , Jie Chen , Jinbo Bi

We present a comprehensive study of graphical log-linear models for contingency tables. High dimensional contingency tables arise in many areas such as computational biology, collection of survey and census data and others. Analysis of…

Methodology · Statistics 2016-03-15 Niharika Gauraha

In the online portfolio optimization framework, existing learning algorithms generate strategies that yield significantly poorer cumulative wealth compared to the best constant rebalancing portfolio in hindsight, despite being consistent in…

Portfolio Management · Quantitative Finance 2025-07-09 Duy Khanh Lam

Spatio-temporal prediction plays an important role in many application areas especially in traffic domain. However, due to complicated spatio-temporal dependency and high non-linear dynamics in road networks, traffic prediction task is…

Machine Learning · Computer Science 2019-03-05 Bing Yu , Mengzhang Li , Jiyong Zhang , Zhanxing Zhu