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In this article we introduce a portfolio optimisation framework, in which the use of rough path signatures (Lyons, 1998) provides a novel method of incorporating path-dependencies in the joint signal-asset dynamics, naturally extending…

Portfolio Management · Quantitative Finance 2023-08-31 Owen Futter , Blanka Horvath , Magnus Wiese

Modern deep learning for asset allocation typically separates forecasting from optimization. We argue this creates a fundamental mismatch where minimizing prediction errors fails to yield robust portfolios. We propose the Signature Informed…

Machine Learning · Computer Science 2026-01-23 Yoontae Hwang , Stefan Zohren

Pairs trading, a strategy that capitalizes on price movements of asset pairs driven by similar factors, has gained significant popularity among traders. Common practice involves selecting highly cointegrated pairs to form a portfolio, which…

Applications · Statistics 2024-03-14 Khizar Qureshi , Tauhid Zaman

Deep hedging is a promising direction in quantitative finance, incorporating models and techniques from deep learning research. While giving excellent hedging strategies, models inherently requires careful treatment in designing…

Machine Learning · Computer Science 2023-10-23 Anh Tong , Thanh Nguyen-Tang , Dongeun Lee , Toan Tran , Jaesik Choi

Pairs-trading is a trading strategy that involves matching a long position with a short position in two stocks aiming at market-neutral profits. While a typical pairs-trading system monitors the prices of two statistically correlated stocks…

Emerging Technologies · Computer Science 2023-10-04 Kosuke Tatsumura , Ryo Hidaka , Jun Nakayama , Tomoya Kashimata , Masaya Yamasaki

We investigate the use of path signatures in a machine learning context for hedging exotic derivatives under non-Markovian stochastic volatility models. In a deep learning setting, we use signatures as features in feedforward neural…

Machine Learning · Statistics 2025-08-12 Eduardo Abi Jaber , Louis-Amand Gérard

We introduce a novel signature approach for pricing and hedging path-dependent options with instantaneous and permanent market impact under a mean-quadratic variation criterion. Leveraging the expressive power of signatures, we recast an…

Portfolio Management · Quantitative Finance 2025-12-01 Eduardo Abi Jaber , Donatien Hainaut , Edouard Motte

We introduce signature payoffs, a family of path-dependent derivatives that are given in terms of the signature of the price path of the underlying asset. We show that these derivatives are dense in the space of continuous payoffs, a result…

Computational Finance · Quantitative Finance 2018-09-26 Imanol Perez Arribas

Market events such as order placement and order cancellation are examples of the complex and substantial flow of data that surrounds a modern financial engineer. New mathematical techniques, developed to describe the interactions of complex…

Statistical Finance · Quantitative Finance 2014-07-16 Lajos Gergely Gyurkó , Terry Lyons , Mark Kontkowski , Jonathan Field

We demonstrate the application of an algorithmic trading strategy based upon the recently developed dynamic mode decomposition (DMD) on portfolios of financial data. The method is capable of characterizing complex dynamical systems, in this…

Computational Finance · Quantitative Finance 2015-08-20 Jordan Mann , J. Nathan Kutz

Signature methods have been widely and effectively used as a tool for feature extraction in statistical learning methods, notably in mathematical finance. They lack, however, interpretability: in the general case, it is unclear why…

Mathematical Finance · Quantitative Finance 2025-03-04 Hari P. Krishnan , Stephan Sturm

Pair trading is one of the most effective statistical arbitrage strategies which seeks a neutral profit by hedging a pair of selected assets. Existing methods generally decompose the task into two separate steps: pair selection and trading.…

Computational Finance · Quantitative Finance 2023-09-26 Weiguang Han , Boyi Zhang , Qianqian Xie , Min Peng , Yanzhao Lai , Jimin Huang

Freight transportation marketplace rates are typically challenging to forecast accurately. In this work, we have developed a novel statistical technique based on signature transforms and have built a predictive and adaptive model to…

Machine Learning · Computer Science 2024-12-10 Haotian Gu , Xin Guo , Timothy L. Jacobs , Philip Kaminsky , Xinyu Li

We provide an introduction to the signature method, focusing on its theoretical properties and machine learning applications. Our presentation is divided into two parts. In the first part, we present the definition and fundamental…

Machine Learning · Statistics 2025-12-29 Ilya Chevyrev , Andrey Kormilitzin

Path signatures have been proposed as a powerful representation of paths that efficiently captures the path's analytic and geometric characteristics, having useful algebraic properties including fast concatenation of paths through tensor…

Systems and Control · Electrical Eng. & Systems 2024-06-21 Motoya Ohnishi , Iretiayo Akinola , Jie Xu , Ajay Mandlekar , Fabio Ramos

Pair trading is a market-neutral quantitative trading strategy that exploits price anomalies between two correlated assets. By taking simultaneous long and short positions, it generates profits based on relative price movements, independent…

Computational Engineering, Finance, and Science · Computer Science 2024-12-18 Charles Barthelemy , Ruoyu Chen , Edward Lucyszyn

Online goal recognition in continuous domains poses two central challenges: efficiently encoding large trajectories and effectively comparing them. Recent work addresses these challenges by using custom state-space representations and…

Artificial Intelligence · Computer Science 2026-05-11 Douglas Tesch , Nathan Gavenski , Leonardo Amado , Odinaldo Rodrigues , Felipe Meneguzzi

Understanding protein dynamics are essential for deciphering protein functional mechanisms and developing molecular therapies. However, the complex high-dimensional dynamics and interatomic interactions of biological processes pose…

Quantitative Methods · Quantitative Biology 2025-05-15 Tiexin Qin , Mengxu Zhu , Chunyang Li , Terry Lyons , Hong Yan , Haoliang Li

Landmark-based human action recognition in videos is a challenging task in computer vision. One key step is to design a generic approach that generates discriminative features for the spatial structure and temporal dynamics. To this end, we…

Computer Vision and Pattern Recognition · Computer Science 2019-12-13 Weixin Yang , Terry Lyons , Hao Ni , Cordelia Schmid , Lianwen Jin

Sequential and temporal data arise in many fields of research, such as quantitative finance, medicine, or computer vision. A novel approach for sequential learning, called the signature method and rooted in rough path theory, is considered.…

Machine Learning · Statistics 2020-12-10 Adeline Fermanian
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