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Signature tensors of paths are a versatile tool for data analysis and machine learning. Recently, they have been applied to persistent homology, by embedding barcodes into spaces of paths. Among the different path embeddings, the…

Algebraic Topology · Mathematics 2025-06-23 Vincenzo Galgano , Heather A. Harrington , Daniel Tolosa

We propose a pairs trading model that incorporates a time-varying volatility of the Constant Elasticity of Variance type. Our approach is based on stochastic control techniques; given a fixed time horizon and a portfolio of two…

Optimization and Control · Mathematics 2021-11-05 T. N. Li , A. Tourin

We provide an introduction to the topic of path signatures as means of feature extraction for machine learning from data streams. The article stresses the mathematical theory underlying the signature methodology, highlighting the conceptual…

Machine Learning · Computer Science 2025-06-03 Stephan Sturm

The study seeks to develop an effective strategy based on the novel framework of statistical arbitrage based on graph clustering algorithms. Amalgamation of quantitative and machine learning methods, including the Kelly criterion, and an…

Portfolio Management · Quantitative Finance 2024-06-18 Adam Korniejczuk , Robert Ślepaczuk

The interface between stochastic analysis and machine learning is a rapidly evolving field, with path signatures - iterated integrals that provide faithful, hierarchical representations of paths - offering a principled and universal feature…

Machine Learning · Statistics 2025-06-26 Csaba Tóth

A pair-trading strategy is an approach that utilizes the fluctuations between prices of a pair of stocks in a short-term time frame, while in the long-term the pair may exhibit a strong association and co-movement pattern. When the prices…

Portfolio Management · Quantitative Finance 2022-11-23 Jaydip Sen

The sequential data observed in earth science can be regarded as paths in multidimensional space. To read the path effectively, it is useful to convert it into a sequence of numbers called the signature, which can faithfully describe the…

Geophysics · Physics 2022-04-05 Nozomi Sugiura

In the context of stochastic portfolio theory we introduce a novel class of portfolios which we call linear path-functional portfolios. These are portfolios which are determined by certain transformations of linear functions of a…

Mathematical Finance · Quantitative Finance 2024-10-08 Christa Cuchiero , Janka Möller

We propose a new approach for trading VIX futures. We assume that the term structure of VIX futures follows a Markov model. Our trading strategy selects a position in VIX futures by maximizing the expected utility for a day-ahead horizon…

Computational Finance · Quantitative Finance 2021-11-24 M. Avellaneda , T. N. Li , A. Papanicolaou , G. Wang

This paper is concerned with a pairs trading rule. The idea is to monitor two historically correlated securities. When divergence is underway, i.e., one stock moves up while the other moves down, a pairs trade is entered which consists of a…

Pricing of Securities · Quantitative Finance 2013-02-26 Qingshuo Song , Qing Zhang

In this paper, we explore an optimal timing strategy for the trading of price spreads exhibiting mean-reverting characteristics. A sequential optimal stopping framework is formulated to analyze the optimal timings for both entering and…

Computational Finance · Quantitative Finance 2024-03-06 Boming Ning , Prakash Chakraborty , Kiseop Lee

We present convincing empirical results on the application of Randomized Signature Methods for non-linear, non-parametric drift estimation for a multi-variate financial market. Even though drift estimation is notoriously ill defined due to…

Portfolio Management · Quantitative Finance 2023-12-29 Erdinc Akyildirim , Matteo Gambara , Josef Teichmann , Syang Zhou

This paper studies the pricing problem in which the underlying asset follows a non-Markovian stochastic volatility model. Classical partial differential equation methods face significant challenges in this context, as the option prices…

Mathematical Finance · Quantitative Finance 2026-05-29 Jingtang Ma , Xianglin Wu , Wenyuan Li

Cryptocurrency markets exhibit pronounced momentum effects and regime-dependent volatility, presenting both opportunities and challenges for systematic trading strategies. We propose AdaptiveTrend, a multi-component algorithmic trading…

Computational Engineering, Finance, and Science · Computer Science 2026-02-13 Duc Bui , Thanh Nguyen

In this work, we study a dynamic portfolio optimization problem related to pairs trading, which is an investment strategy that matches a long position in one security with a short position in another security with similar characteristics.…

Portfolio Management · Quantitative Finance 2018-10-24 Sühan Altay , Katia Colaneri , Zehra Eksi

We introduce a new method of nowcasting using regression on path signatures. Path signatures capture the geometric properties of sequential data. Because signatures embed observations in continuous time, they naturally handle mixed…

Econometrics · Economics 2025-12-17 Samuel N. Cohen , Giulia Mantoan , Lars Nesheim , Áureo de Paula , Arthur Turrell , Lingyi Yang

This paper explores neural network-based approaches for algorithmic trading in cryptocurrency markets. Our approach combines multi-timeframe trend analysis with high-frequency direction prediction networks, achieving positive risk-adjusted…

Computational Finance · Quantitative Finance 2025-08-05 Wěi Zhāng

The robustness of image recognition algorithms remains a critical challenge, as current models often depend on large quantities of labeled data. In this paper, we propose a hybrid approach that combines the adaptability of neural networks…

Computer Vision and Pattern Recognition · Computer Science 2025-03-26 Sina Ditzel , Achref Jaziri , Iuliia Pliushch , Visvanathan Ramesh

Investors try to predict returns of financial assets to make successful investment. Many quantitative analysts have used machine learning-based methods to find unknown profitable market rules from large amounts of market data. However,…

Trading and Market Microstructure · Quantitative Finance 2020-12-21 Katsuya Ito , Kentaro Minami , Kentaro Imajo , Kei Nakagawa

Pairs trading is a market-neutral strategy that exploits historical correlation between stocks to achieve statistical arbitrage. Existing pairs-trading algorithms in the literature require rather restrictive assumptions on the underlying…

Statistical Finance · Quantitative Finance 2016-08-15 Atul Deshpande , B. Ross Barmish