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One of the reasons that higher order moment portfolio optimization methods are not fully used by practitioners in investment decisions is the complexity that these higher moments create by making the optimization problem nonconvex. Many few…

Computational Engineering, Finance, and Science · Computer Science 2022-01-07 Farshad Noravesh

We consider a mean-variance portfolio selection problem in a financial market with contagion risk. The risky assets follow a jump-diffusion model, in which jumps are driven by a multivariate Hawkes process with mutual-excitation effect. The…

Mathematical Finance · Quantitative Finance 2021-10-19 Yang Shen , Bin Zou

Continuous Domain Adaptation (CDA) effectively bridges significant domain shifts by progressively adapting from the source domain through intermediate domains to the target domain. However, selecting intermediate domains without explicit…

Machine Learning · Computer Science 2025-10-14 Hanbing Liu , Huaze Tang , Yanru Wu , Yang Li , Xiao-Ping Zhang

The concept of Diversification Return (DR) was introduced by Booth and Fama in 1990s and it has been well studied in the finance literature mainly focusing on the various sources it may be generated. However, unlike the classical…

Optimization and Control · Mathematics 2023-03-06 Chao Ding , Houduo Qi

The Difference of Convex functions Algorithm (DCA) is widely used for minimizing the difference of two convex functions. A recently proposed accelerated version, termed BDCA for Boosted DC Algorithm, incorporates a line search step to…

Optimization and Control · Mathematics 2020-02-13 Francisco J. Aragón Artacho , Rubén Campoy , Phan T. Vuong

We study continuous-time portfolio selection under monotone mean-variance (MMV) preferences in a jump-diffusion model, presenting an explicit solution different from that under classical mean-variance (MV) preferences in dynamic settings…

Mathematical Finance · Quantitative Finance 2024-05-14 Yuchen Li , Zongxia Liang , Shunzhi Pang

More than seventy years ago Harry Markowitz formulated portfolio construction as an optimization problem that trades off expected return and risk, defined as the standard deviation of the portfolio returns. Since then the method has been…

Portfolio Management · Quantitative Finance 2024-01-11 Stephen Boyd , Kasper Johansson , Ronald Kahn , Philipp Schiele , Thomas Schmelzer

We study continuous-time mean--variance portfolio selection in markets where stock prices are diffusion processes driven by observable factors that are also diffusion processes, yet the coefficients of these processes are unknown. Based on…

Portfolio Management · Quantitative Finance 2026-03-31 Yilie Huang , Yanwei Jia , Xun Yu Zhou

In this paper, we consider a new problem of portfolio optimization using stochastic information. In a setting where there is some uncertainty, we ask how to best select $k$ potential solutions, with the goal of optimizing the value of the…

Data Structures and Algorithms · Computer Science 2024-12-03 Marina Drygala , Silvio Lattanzi , Andreas Maggiori , Miltiadis Stouras , Ola Svensson , Sergei Vassilvitskii

This paper considers convex optimization problems where nodes of a network have access to summands of a global objective. Each of these local objectives is further assumed to be an average of a finite set of functions. The motivation for…

Optimization and Control · Mathematics 2015-06-16 Aryan Mokhtari , Alejandro Ribeiro

We consider the classic Kelly gambling problem with general distribution of outcomes, and an additional risk constraint that limits the probability of a drawdown of wealth to a given undesirable level. We develop a bound on the drawdown…

Portfolio Management · Quantitative Finance 2016-03-22 Enzo Busseti , Ernest K. Ryu , Stephen Boyd

Portfolio Management is the process of overseeing a group of investments, referred to as a portfolio, with the objective of achieving predetermined investment goals. Portfolio optimization is a key component that involves allocating the…

Portfolio Management · Quantitative Finance 2026-02-20 Srijan Sood , Kassiani Papasotiriou , Marius Vaiciulis , Tucker Balch

We study continuous-time CRRA portfolio choice in diffusion markets with estimated and hence uncertain coefficients. Nature draws a latent parameter $\theta \sim q$ at time $0$ and keeps it fixed; the investor never observes $\theta$ and…

Computational Finance · Quantitative Finance 2026-02-27 Jeonggyu Huh , Hyeng Keun Koo

Principal component analysis (PCA) has well-documented merits for data extraction and dimensionality reduction. PCA deals with a single dataset at a time, and it is challenged when it comes to analyzing multiple datasets. Yet in certain…

Machine Learning · Computer Science 2017-10-27 Gang Wang , Jia Chen , Georgios B. Giannakis

In this study, we address the challenge of portfolio optimization, a critical aspect of managing investment risks and maximizing returns. The mean-CVaR portfolio is considered a promising method due to today's unstable financial market…

Portfolio Management · Quantitative Finance 2023-09-22 Kei Nakagawa , Masaya Abe , Seiichi Kuroki

This paper studies dynamic mean-variance (MV) asset allocation problems in general incomplete markets. Besides of the conventional MV objective on portfolio's terminal wealth, our framework can accommodate running MV objectives with general…

Mathematical Finance · Quantitative Finance 2024-12-25 Qian Lei , Chi Seng Pun , Jingxiang Tang

Market conditions change continuously. However, in portfolio's investment strategies, it is hard to account for this intrinsic non-stationarity. In this paper, we propose to address this issue by using the Inverse Covariance Clustering…

Statistical Finance · Quantitative Finance 2022-01-17 Yuanrong Wang , Tomaso Aste

Large optimization problems with hard constraints arise in many settings, yet classical solvers are often prohibitively slow, motivating the use of deep networks as cheap "approximate solvers." Unfortunately, naive deep learning approaches…

Machine Learning · Computer Science 2021-04-27 Priya L. Donti , David Rolnick , J. Zico Kolter

Deep learning and especially the use of Deep Neural Networks (DNNs) provides impressive results in various regression and classification tasks. However, to achieve these results, there is a high demand for computing and storing resources.…

Machine Learning · Computer Science 2021-07-21 Erion-Vasilis Pikoulis , Christos Mavrokefalidis , Aris S. Lalos

We investigate a difference-of-convex (DC) formulation where the second term is allowed to be weakly convex. We examine the precise behavior of a single iteration of the difference-of-convex algorithm (DCA), providing a tight…

Optimization and Control · Mathematics 2026-01-23 Teodor Rotaru , Panagiotis Patrinos , François Glineur