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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

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

Traditional approaches to financial asset allocation start with returns forecasting followed by an optimization stage that decides the optimal asset weights. Any errors made during the forecasting step reduce the accuracy of the asset…

Portfolio Management · Quantitative Finance 2022-06-08 Damian Kisiel , Denise Gorse

High-frequency quantitative trading strategies have long been of significant interest in futures market. While advanced statistical arbitrage and deep learning enhance high-frequency data processing, they diminish opportunities for…

General Economics · Economics 2025-10-17 Zihao Guo , Hanqing Jin , Jiaqi Kuang , Zhongmin Qian , Jinghan Wang

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

In recommender systems, most graph-based methods focus on positive user feedback, while overlooking the valuable negative feedback. Integrating both positive and negative feedback to form a signed graph can lead to a more comprehensive…

Information Retrieval · Computer Science 2024-05-07 Sirui Chen , Jiawei Chen , Sheng Zhou , Bohao Wang , Shen Han , Chanfei Su , Yuqing Yuan , Can Wang

Inferring topological and geometrical information from data can offer an alternative perspective on machine learning problems. Methods from topological data analysis, e.g., persistent homology, enable us to obtain such information,…

Computer Vision and Pattern Recognition · Computer Science 2018-02-19 Christoph Hofer , Roland Kwitt , Marc Niethammer , Andreas Uhl

Many finance, physics, and engineering phenomena are modeled by continuous-time dynamical systems driven by highly irregular (stochastic) inputs. A powerful tool to perform time series analysis in this context is rooted in rough path theory…

Machine Learning · Computer Science 2023-04-27 Enea Monzio Compagnoni , Anna Scampicchio , Luca Biggio , Antonio Orvieto , Thomas Hofmann , Josef Teichmann

Signatures, one of the key concepts of rough path theory, have recently gained prominence as a means to find appropriate feature sets in machine learning systems. In this paper, in order to compute signatures directly from discrete data…

Mathematical Finance · Quantitative Finance 2022-01-17 Takanori Adachi , Yusuke Naritomi

In this paper I propose a novel approach to Volume Weighted Average Price (VWAP) execution that addresses two key practical challenges: the need for asset-specific model training and the capture of complex temporal dependencies. Building…

Statistical Finance · Quantitative Finance 2025-03-05 Remi Genet

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

We introduce the Momentum Transformer, an attention-based deep-learning architecture, which outperforms benchmark time-series momentum and mean-reversion trading strategies. Unlike state-of-the-art Long Short-Term Memory (LSTM)…

Machine Learning · Computer Science 2022-11-24 Kieran Wood , Sven Giegerich , Stephen Roberts , Stefan Zohren

Transformers have transformed modern machine learning, driving breakthroughs in computer vision, natural language processing, and robotics. At the core of their success lies the attention mechanism, which enables the modeling of global…

Computer Vision and Pattern Recognition · Computer Science 2025-10-07 Hemanth Saratchandran , Simon Lucey

The emerging graph Transformers have achieved impressive performance for graph representation learning over graph neural networks (GNNs). In this work, we regard the self-attention mechanism, the core module of graph Transformers, as a…

Machine Learning · Computer Science 2023-10-18 Jinsong Chen , Gaichao Li , John E. Hopcroft , Kun He

While attention has been empirically shown to improve model performance, it lacks a rigorous mathematical justification. This short paper establishes a novel connection between attention mechanisms and multinomial regression. Specifically,…

Machine Learning · Computer Science 2025-10-28 Jonas A. Actor , Anthony Gruber , Eric C. Cyr

Over-parameterized deep models usually over-fit to a given training distribution, which makes them sensitive to small changes and out-of-distribution samples at inference time, leading to low generalization performance. To this end, several…

Computer Vision and Pattern Recognition · Computer Science 2019-12-12 Saeid Asgari Taghanaki , Kumar Abhishek , Ghassan Hamarneh

Asset allocation is an investment strategy that aims to balance risk and reward by constantly redistributing the portfolio's assets according to certain goals, risk tolerance, and investment horizon. Unfortunately, there is no simple…

Portfolio Management · Quantitative Finance 2022-08-16 Ricard Durall

The signature is an infinite graded sequence of statistics known to characterise a stream of data up to a negligible equivalence class. It is a transform which has previously been treated as a fixed feature transformation, on top of which a…

Machine Learning · Computer Science 2019-10-29 Patric Bonnier , Patrick Kidger , Imanol Perez Arribas , Cristopher Salvi , Terry Lyons

Predictive process monitoring aims to support the execution of a process during runtime with various predictions about the further evolution of a process instance. In the last years a plethora of deep learning architectures have been…

Machine Learning · Computer Science 2024-08-15 Martin Käppel , Lars Ackermann , Stefan Jablonski , Simon Härtl

This article introduces a novel hybrid regime identification-forecasting framework designed to enhance multi-asset portfolio construction by integrating asset-specific regime forecasts. Unlike traditional approaches that focus on broad…

Portfolio Management · Quantitative Finance 2024-08-19 Yizhan Shu , Chenyu Yu , John M. Mulvey
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