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In financial investing, universal portfolios are a means of constructing portfolios which guarantee a certain level of performance relative to a baseline, while making no statistical assumptions about the future market data. They fall under…

Computational Engineering, Finance, and Science · Computer Science 2021-05-28 Thomas Orton

We provide a simple and straightforward approach to a continuous-time version of Cover's universal portfolio strategies within the model-free context of F\"ollmer's pathwise It\^o calculus. We establish the existence of the universal…

Mathematical Finance · Quantitative Finance 2025-08-27 Xiyue Han , Alexander Schied

We present a universal algorithm for online trading in Stock Market which performs asymptotically at least as good as any stationary trading strategy that computes the investment at each step using a fixed function of the side information…

Machine Learning · Computer Science 2014-11-05 Vladimir V'yugin , Vladimir Trunov

We propose a universal end-to-end framework for portfolio optimization where asset distributions are directly obtained. The designed framework circumvents the traditional forecasting step and avoids the estimation of the covariance matrix,…

Portfolio Management · Quantitative Finance 2021-11-18 Chao Zhang , Zihao Zhang , Mihai Cucuringu , Stefan Zohren

In the context of investment analysis, we formulate an abstract online computing problem called a planning game and develop general tools for solving such a game. We then use the tools to investigate a practical buy-and-hold trading problem…

Computational Engineering, Finance, and Science · Computer Science 2007-05-23 Gen-Huey Chen , Ming-Yang Kao , Yuh-Dauh Lyuu , Hsing-Kuo Wong

A constant rebalanced portfolio is an asset allocation algorithm which keeps the same distribution of wealth among a set of assets along a period of time. Recently, there has been work on on-line portfolio selection algorithms which are…

Portfolio Management · Quantitative Finance 2013-02-01 Yoram Singer

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

This paper investigates the problem of ensembling multiple strategies for sequential portfolios to outperform individual strategies in terms of long-term wealth. Due to the uncertainty of strategies' performances in the future market, which…

Portfolio Management · Quantitative Finance 2025-02-07 Duy Khanh Lam

Individual investors are now massively using online brokers to trade stocks with convenient interfaces and low fees, albeit losing the advice and personalization traditionally provided by full-service brokers. We frame the problem faced by…

Artificial Intelligence · Computer Science 2021-03-16 Robin Swezey , Bruno Charron

We discuss algorithms for combining sequential prediction strategies, a task which can be viewed as a natural generalisation of the concept of universal coding. We describe a graphical language based on Hidden Markov Models for defining…

Information Theory · Computer Science 2013-11-27 Wouter M. Koolen , Steven de Rooij

Consider a family of portfolio strategies with the aim of achieving the asymptotic growth rate of the best one. The idea behind Cover's universal portfolio is to build a wealth-weighted average which can be viewed as a buy-and-hold…

Portfolio Management · Quantitative Finance 2016-12-13 Ting-Kam Leonard Wong

Algorithms often have tunable parameters that impact performance metrics such as runtime and solution quality. For many algorithms used in practice, no parameter settings admit meaningful worst-case bounds, so the parameters are made…

Machine Learning · Computer Science 2021-04-27 Maria-Florina Balcan , Dan DeBlasio , Travis Dick , Carl Kingsford , Tuomas Sandholm , Ellen Vitercik

This work initiates research into the problem of determining an optimal investment strategy for investors with different attitudes towards the trade-offs of risk and profit. The probability distribution of the return values of the stocks…

Computational Engineering, Finance, and Science · Computer Science 2007-05-23 Ming-Yang Kao , Andreas Nolte , Stephen R. Tate

We consider online learning of ensembles of portfolio selection algorithms and aim to regularize risk by encouraging diversification with respect to a predefined risk-driven grouping of stocks. Our procedure uses online convex optimization…

Machine Learning · Computer Science 2016-04-13 Guy Uziel , Ran El-Yaniv

We propose a new globalization strategy that can be used in unconstrained optimization algorithms to support rapid convergence from remote starting points. Our approach is based on using multiple points at each iteration to build a…

Optimization and Control · Mathematics 2017-05-16 Figen Öztoprak , Ş. İlker Birbil

Cover's celebrated theorem states that the long run yield of a properly chosen "universal" portfolio is as good as the long run yield of the best retrospectively chosen constant rebalanced portfolio. The "universality" pertains to the fact…

Mathematical Finance · Quantitative Finance 2016-11-30 Christa Cuchiero , Walter Schachermayer , Ting-Kam Leonard Wong

Recently, reinforcement learning has achieved remarkable results in various domains, including robotics, games, natural language processing, and finance. In the financial domain, this approach has been applied to tasks such as portfolio…

Computational Finance · Quantitative Finance 2025-08-07 Caio de Souza Barbosa Costa , Anna Helena Reali Costa

With the improvement of computer performance and the development of GPU-accelerated technology, trading with machine learning algorithms has attracted the attention of many researchers and practitioners. In this research, we propose a novel…

Portfolio Management · Quantitative Finance 2021-03-23 Huanming Zhang , Zhengyong Jiang , Jionglong Su

We introduce a unified framework for rapid, large-scale portfolio optimization that incorporates both shrinkage and regularization techniques. This framework addresses multiple objectives, including minimum variance, mean-variance, and the…

Portfolio Management · Quantitative Finance 2023-11-13 Weichuan Deng , Pawel Polak , Abolfazl Safikhani , Ronakdilip Shah

This paper aims to develop new mathematical and computational tools for modeling the distribution of portfolio returns across portfolios. We establish relevant mathematical formulas and propose efficient algorithms, drawing upon powerful…

Computational Engineering, Finance, and Science · Computer Science 2021-05-17 Ludovic Calès , Apostolos Chalkis , Ioannis Z. Emiris
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