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Since Markowitz's mean-variance framework, optimizing a portfolio that maximizes the profit and minimizes the risk has been ubiquitous in the financial industry. Initially, profit and risk were measured by the first two moments of the…

Signal Processing · Electrical Eng. & Systems 2023-09-12 Xiwen Wang , Rui Zhou , Jiaxi Ying , Daniel P. Palomar

We establish a high-dimensional statistical learning framework for individualized asset allocation. Our proposed methodology addresses continuous-action decision-making with a large number of characteristics. We develop a discretization…

Machine Learning · Statistics 2022-11-09 Yi Ding , Yingying Li , Rui Song

In this research paper, we investigate into a paper named "A Deep Reinforcement Learning Framework for the Financial Portfolio Management Problem" [arXiv:1706.10059]. It is a portfolio management problem which is solved by deep learning…

Portfolio Management · Quantitative Finance 2024-09-16 Jinyang Li

Large Language Models (LLMs) have become increasingly popular due to their ability to process and generate natural language. However, as they are trained on massive datasets of text, LLMs can inherit harmful biases and produce outputs that…

Computation and Language · Computer Science 2025-01-23 Qi Gou , Cam-Tu Nguyen

We study zeroth-order optimization where solutions must minimize a cost $d(s)$ while maintaining high probability under a complex generative prior $L(s)$ (e.g., a parameterized model). This reduces to sampling from a target distribution…

Machine Learning · Computer Science 2026-05-06 Pranjal Awasthi , Sreenivas Gollapudi , Ravi Kumar , Kamesh Munagala

Learning a predictive model of the mean return, or value function, plays a critical role in many reinforcement learning algorithms. Distributional reinforcement learning (DRL) has been shown to improve performance by modeling the value…

Machine Learning · Computer Science 2025-07-08 Ju-Seung Byun , Andrew Perrault

Benefiting from high capacity for capturing complex temporal patterns, deep learning (DL) has significantly advanced time series forecasting (TSF). However, deep models tend to suffer from severe overfitting due to the inherent…

Machine Learning · Computer Science 2025-10-30 Yisong Fu , Zezhi Shao , Chengqing Yu , Yujie Li , Zhulin An , Qi Wang , Yongjun Xu , Fei Wang

Finding an optimal balance between risk and returns in investment portfolios is a central challenge in quantitative finance, often addressed through Markowitz portfolio theory (MPT). While traditional portfolio optimization is carried out…

Portfolio Management · Quantitative Finance 2024-04-18 Francesco Catalano , Laura Nasello , Daniel Guterding

The paper solves the problem of optimal portfolio choice when the parameters of the asset returns distribution, like the mean vector and the covariance matrix are unknown and have to be estimated by using historical data of the asset…

Statistical Finance · Quantitative Finance 2023-04-19 David Bauder , Taras Bodnar , Nestor Parolya , Wolfgang Schmid

In this paper, we tackle the dynamic mean-variance portfolio selection problem in a {\it model-free} manner, based on (generative) diffusion models. We propose using data sampled from the real model $\mathbb P$ (which is unknown) with…

Portfolio Management · Quantitative Finance 2025-09-03 Ahmad Aghapour , Erhan Bayraktar , Fengyi Yuan

In recent years, researchers pay growing attention to the few-shot learning (FSL) task to address the data-scarce problem. A standard FSL framework is composed of two components: i) Pre-train. Employ the base data to generate a CNN-based…

Computer Vision and Pattern Recognition · Computer Science 2021-12-06 Shuai Shao , Lei Xing , Rui Xu , Weifeng Liu , Yan-Jiang Wang , Bao-Di Liu

Derivative-free optimization (DFO) is the mathematical study of the optimization algorithms that do not use derivatives. One branch of DFO focuses on model-based DFO methods, where an approximation of the objective function is used to guide…

Numerical Analysis · Mathematics 2016-12-16 Warren Hare

This study examines portfolio selection using predictive models for portfolio returns. Portfolio selection is a fundamental task in finance, and a variety of methods have been developed to achieve this goal. For instance, the mean-variance…

Portfolio Management · Quantitative Finance 2025-02-14 Masahiro Kato

This paper introduces a new functional optimization approach to portfolio optimization problems by treating the unknown weight vector as a function of past values instead of treating them as fixed unknown coefficients in the majority of…

Portfolio Management · Quantitative Finance 2020-12-10 Ka Wai Tsang , Zhaoyi He

The monotone mean-variance (MMV) preference proposed by Maccheroni, et al. (Math. Finance 19(3): 487-521, 2009) fails to differentiate strictly dominant payoffs, which may cause inconsistency in portfolio decision-making. This paper…

Mathematical Finance · Quantitative Finance 2026-04-03 Yike Wang , Yusha Chen , Jingzhen Liu , Zhenyu Cui

We consider active learning (AL) in an uncertain environment in which trade-off between multiple risk measures need to be considered. As an AL problem in such an uncertain environment, we study Mean-Variance Analysis in Bayesian…

Machine Learning · Statistics 2020-09-18 Shogo Iwazaki , Yu Inatsu , Ichiro Takeuchi

Machine learning classifiers' capability is largely dependent on the scale of available training data and limited by the model overfitting in data-scarce learning tasks. To address this problem, this work proposes a novel framework of Meta…

Machine Learning · Computer Science 2022-03-29 Pan Li , Yanwei Fu , Shaogang Gong

Markowitz's criterion aims to balance expected return and risk when optimizing the portfolio. The expected return level is usually fixed according to the risk appetite of an investor, then the risk is minimized at this fixed return level.…

Portfolio Management · Quantitative Finance 2024-11-08 Yizun Lin , Yongxin He , Zhao-Rong Lai

Preference learning algorithms (e.g., RLHF and DPO) are frequently used to steer LLMs to produce generations that are more preferred by humans, but our understanding of their inner workings is still limited. In this work, we study the…

Machine Learning · Computer Science 2024-11-01 Angelica Chen , Sadhika Malladi , Lily H. Zhang , Xinyi Chen , Qiuyi Zhang , Rajesh Ranganath , Kyunghyun Cho

This paper considers the mean variance portfolio management problem. We examine portfolios which contain both primary and derivative securities. The challenge in this context is due to portfolio's nonlinearities. The delta-gamma…

Portfolio Management · Quantitative Finance 2011-11-08 Yang Li , Traian A Pirvu
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