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This paper presents a simple method for a posteriori (historical) multi-variate multi-stage optimal trading under transaction costs and a diversification constraint. Starting from a given amount of money in some currency, we analyze the…

Portfolio Management · Quantitative Finance 2018-08-03 Mogens Graf Plessen , Alberto Bemporad

Financial time series often exhibit low signal-to-noise ratio, posing significant challenges for accurate data interpretation and prediction and ultimately decision making. Generative models have gained attention as powerful tools for…

Machine Learning · Computer Science 2024-09-05 Zhuohan Wang , Carmine Ventre

Motivated by recent advances in the spectral theory of auto-covariance matrices, we are led to revisit a reformulation of Markowitz' mean-variance portfolio optimization approach in the time domain. In its simplest incarnation it applies to…

Portfolio Management · Quantitative Finance 2016-06-22 Peter A. Bebbington , Reimer Kuehn

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

In this work we propose for the first time a transformer-based framework for unsupervised representation learning of multivariate time series. Pre-trained models can be potentially used for downstream tasks such as regression and…

Machine Learning · Computer Science 2020-12-10 George Zerveas , Srideepika Jayaraman , Dhaval Patel , Anuradha Bhamidipaty , Carsten Eickhoff

Modeling matrix-valued time series is an interesting and important research topic. In this paper, we extend the method of Chang et al. (2017) to matrix-valued time series. For any given $p\times q$ matrix-valued time series, we look for…

Methodology · Statistics 2020-02-11 Zhaoxing Gao

In musical performances with expressive tempo modulation, the tempo variation can be modelled as a sequence of tempo arcs. Previous authors have used this idea to estimate series of piecewise arc segments from data. In this paper we…

Sound · Computer Science 2013-02-04 Dan Stowell , Elaine Chew

We propose a Bayesian nonparametric approach to modelling and predicting a class of functional time series with application to energy markets, based on fully observed, noise-free functional data. Traders in such contexts conceive profitable…

Applications · Statistics 2016-11-23 Antonio Canale , Matteo Ruggiero

We introduce Spatio-Temporal Momentum strategies, a class of models that unify both time-series and cross-sectional momentum strategies by trading assets based on their cross-sectional momentum features over time. While both time-series and…

Portfolio Management · Quantitative Finance 2023-12-08 Wee Ling Tan , Stephen Roberts , Stefan Zohren

Time series are difficult to monitor, summarize and predict. Segmentation organizes time series into few intervals having uniform characteristics (flatness, linearity, modality, monotonicity and so on). For scalability, we require fast…

Databases · Computer Science 2007-05-23 Daniel Lemire

The aim in model order reduction is to approximate an input-output map described by a large-scale dynamical system with a low-dimensional and cheaper-to-evaluate reduced order model. While high fidelity can be achieved by a variety of…

Dynamical Systems · Mathematics 2023-01-04 Björn Liljegren-Sailer

Data normalization is one of the most important preprocessing steps when building a machine learning model, especially when the model of interest is a deep neural network. This is because deep neural network optimized with stochastic…

Statistical Finance · Quantitative Finance 2021-09-03 Dat Thanh Tran , Juho Kanniainen , Moncef Gabbouj , Alexandros Iosifidis

This paper introduces a novel technique to track structures in time varying graphs. The method uses a maximum a posteriori approach for adjusting a three-dimensional co-clustering of the source vertices, the destination vertices and the…

Machine Learning · Statistics 2016-08-30 Romain Guigourès , Marc Boullé , Fabrice Rossi

We propose a novel approach for change-point detection and parameter learning in multivariate non-stationary time series exhibiting oscillatory behaviour. We approximate the process through a piecewise function defined by a sum of…

Methodology · Statistics 2026-02-02 Nicolas Bianco , Lorenzo Cappello

An attempt to obtain market directional information from non-stationary solution of the dynamic equation: "future price tends to the value maximizing the number of shares traded per unit time" is presented. A remarkable feature of the…

Computational Finance · Quantitative Finance 2022-10-11 Vladislav Gennadievich Malyshkin , Mikhail Gennadievich Belov

Time series forecasting is widely used in a multitude of domains. In this paper, we present four models to predict the stock price using the SPX index as input time series data. The martingale and ordinary linear models require the…

Machine Learning · Statistics 2017-10-23 Aaron Elliot , Cheng Hua Hsu

This paper presents an unsupervised transformer-based framework for temporal activity segmentation which leverages not only frame-level cues but also segment-level cues. This is in contrast with previous methods which often rely on…

Computer Vision and Pattern Recognition · Computer Science 2025-12-03 Quoc-Huy Tran , Ahmed Mehmood , Muhammad Ahmed , Muhammad Naufil , Anas Zafar , Andrey Konin , M. Zeeshan Zia

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

We consider a simplified model for optimizing a single-asset portfolio in the presence of transaction costs given a signal with a certain autocorrelation and cross-correlation structure. In our setup, the portfolio manager is given two…

Optimization and Control · Mathematics 2024-12-18 Chutian Ma , Paul Smith

Time series analysis is the process of building a model using statistical techniques to represent characteristics of time series data. Processing and forecasting huge time series data is a challenging task. This paper presents Approximation…

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