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We introduce a financial portfolio optimization framework that allows us to automatically select the relevant assets and estimate their weights by relying on a sorted $\ell_1$-Norm penalization, henceforth SLOPE. Our approach is able to…

Portfolio Management · Quantitative Finance 2021-07-30 Philipp J. Kremer , Sangkyun Lee , Malgorzata Bogdan , Sandra Paterlini

In this article we deal with the problem of portfolio allocation by enhancing network theory tools. We use the dependence structure of the correlations network in constructing some well-known risk-based models in which the estimation of…

Portfolio Management · Quantitative Finance 2022-04-14 Gian Paolo Clemente , Rosanna Grassi , Asmerilda Hitaj

Portfolio optimization is a critical area in finance, aiming to maximize returns while minimizing risk. Metaheuristic algorithms were shown to solve complex optimization problems efficiently, with Genetic Algorithms and Particle Swarm…

Portfolio Management · Quantitative Finance 2025-03-21 Hang Kin Poon

We consider an investor, whose portfolio consists of a single risky asset and a risk free asset, who wants to maximize his expected utility of the portfolio subject to managing the Value at Risk (VaR) assuming a heavy tailed distribution of…

Portfolio Management · Quantitative Finance 2020-12-02 Subhojit Biswas , Mrinal K. Ghosh , Diganta Mukherjee

In this paper, we study the continuous-time multi-asset mean-variance (MV) portfolio selection using a reinforcement learning (RL) algorithm, specifically the soft actor-critic (SAC) algorithm, in the time-varying financial market. A family…

Mathematical Finance · Quantitative Finance 2025-05-13 Yu Li , Yuhan Wu , Shuhua Zhang

Crash data is often greatly imbalanced, with the majority of crashes being non-fatal crashes, and only a small number being fatal crashes due to their rarity. Such data imbalance issue poses a challenge for crash severity modeling since it…

Machine Learning · Computer Science 2024-04-04 Junlan Chen , Ziyuan Pu , Nan Zheng , Xiao Wen , Hongliang Ding , Xiucheng Guo

In this paper, we consider a composite optimization problem with linear coupling constraints in a multi-agent network. In this problem, all the agents jointly optimize a global composite cost function which is the linear sum of individual…

Optimization and Control · Mathematics 2021-06-28 Jianzheng Wang , Guoqiang Hu

This work proposes a unified framework for portfolio allocation, covering both asset selection and optimization, based on a multiple-hypothesis predict-then-optimize approach. The portfolio is modeled as a structured ensemble, where each…

Portfolio Management · Quantitative Finance 2025-11-19 Alejandro Rodriguez Dominguez , Muhammad Shahzad , Xia Hong

Generative models for financial time series often create data that look realistic and even reproduce stylized facts such as fat tails or volatility clustering. However, these apparent successes break down under trading backtests: models…

Statistical Finance · Quantitative Finance 2026-01-21 Fan Zhang , Jiabin Luo , Zheng Zhang , Shuanghong Huang , Zhipeng Liu , Yu Chen

A highly relevant problem of modern finance is the design of Value-at-Risk (VaR) optimal portfolios. Due to contemporary financial regulations, banks and other financial institutions are tied to use the risk measure to control their credit,…

Optimization and Control · Mathematics 2025-10-28 Marah-Lisanne Thormann , Phan Tu Vuong , Alain B. Zemkoho

This paper studies the continuous time mean-variance portfolio selection problem with one kind of non-linear wealth dynamics. To deal the expectation constraint, an auxiliary stochastic control problem is firstly solved by two new…

Mathematical Finance · Quantitative Finance 2022-11-03 Shaolin Ji , Hanqing Jin , Xiaomin Shi

In this paper, we discuss the ambiguous chance constrained based portfolio optimization problems, in which the perturbations associated with the input parameters are stochastic in nature, but their distributions are not known precisely. We…

Optimization and Control · Mathematics 2023-11-09 Pulak Swain , Akshay Kumar Ojha

The only input to attain the portfolio weights of global minimum variance portfolio (GMVP) is the covariance matrix of returns of assets being considered for investment. Since the population covariance matrix is not known, investors use…

Portfolio Management · Quantitative Finance 2020-04-20 Jinwoo Park

Portfolio optimization involves determining the optimal allocation of portfolio assets in order to maximize a given investment objective. Traditionally, some form of mean-variance optimization is used with the aim of maximizing returns…

Artificial Intelligence · Computer Science 2024-03-26 Fernando Acero , Parisa Zehtabi , Nicolas Marchesotti , Michael Cashmore , Daniele Magazzeni , Manuela Veloso

This paper investigates an optimal investment problem under the tail Value at Risk (tail VaR, also known as expected shortfall, conditional VaR, average VaR) and portfolio insurance constraints confronted by a defined-contribution pension…

Portfolio Management · Quantitative Finance 2023-09-06 Hui Mi , Zuo Quan Xu , Dongfang Yang

Graphical models are a powerful tool to estimate a high-dimensional inverse covariance (precision) matrix, which has been applied for a portfolio allocation problem. The assumption made by these models is a sparsity of the precision matrix.…

Econometrics · Economics 2023-04-04 Tae-Hwy Lee , Ekaterina Seregina

Data is commonly stored in tabular format. Several fields of research are prone to small imbalanced tabular data. Supervised Machine Learning on such data is often difficult due to class imbalance. Synthetic data generation, i.e.,…

Machine Learning · Computer Science 2022-07-14 Kristian Schultz , Saptarshi Bej , Waldemar Hahn , Markus Wolfien , Prashant Srivastava , Olaf Wolkenhauer

This paper describes a novel algorithmic framework to minimize a finite-sum of functions available over a network of nodes. The proposed framework, that we call~\GTVR, is stochastic and decentralized, and thus is particularly suitable for…

Optimization and Control · Mathematics 2020-12-02 Ran Xin , Usman A. Khan , Soummya Kar

We adopt deep learning models to directly optimise the portfolio Sharpe ratio. The framework we present circumvents the requirements for forecasting expected returns and allows us to directly optimise portfolio weights by updating model…

Portfolio Management · Quantitative Finance 2021-01-26 Zihao Zhang , Stefan Zohren , Stephen Roberts

In recent years, financial institutions and firms have increasingly adopted synthetic data to address data scarcity and to generate counterfactual market scenarios. However, reproducing all the statistical properties of financial time…

Machine Learning · Computer Science 2026-05-27 Giuseppe Masi , Andrea Coletta , Novella Bartolini