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In this paper, we consider the optimization problem of minimizing a continuously differentiable function subject to both convex constraints and sparsity constraints. By exploiting a mixed-integer reformulation from the literature, we define…

最优化与控制 · 数学 2021-04-28 M. Lapucci , T. Levato , F. Rinaldi , M. Sciandrone

Optimizing portfolio performance is a fundamental challenge in financial modeling, requiring the integration of advanced clustering techniques and data-driven optimization strategies. This paper introduces a comparative backtesting approach…

机器学习 · 计算机科学 2025-01-23 Keon Vin Park

In variable selection, most existing screening methods focus on marginal effects and ignore dependence between covariates. To improve the performance of selection, we incorporate pairwise effects in covariates for screening and…

统计方法学 · 统计学 2019-02-12 Siliang Gong , Kai Zhang , Yufeng Liu

We present a unified framework for estimation and analysis of generalized additive models in high dimensions. The framework defines a large class of penalized regression estimators, encompassing many existing methods. An efficient…

统计方法学 · 统计学 2019-03-13 Asad Haris , Noah Simon , Ali Shojaie

We study the feasibility and noise sensitivity of portfolio optimization under some downside risk measures (Value-at-Risk, Expected Shortfall, and semivariance) when they are estimated by fitting a parametric distribution on a finite sample…

风险管理 · 定量金融 2008-12-10 Istvan Varga-Haszonits , Imre Kondor

The classical Canonical Correlation Analysis (CCA) identifies the correlations between two sets of multivariate variables based on their covariance, which has been widely applied in diverse fields such as computer vision, natural language…

最优化与控制 · 数学 2024-01-02 Yongchun Li , Santanu S. Dey , Weijun Xie

This paper studies some unconventional utility maximization problems when the ratio type relative portfolio performance is periodically evaluated over an infinite horizon. Meanwhile, the agent is prohibited from short-selling stocks. Our…

投资组合管理 · 定量金融 2023-12-20 Wenyuan Wang , Kaixin Yan , Xiang Yu

In this paper we develop a concrete and fully implementable approach to the optimization of functionally generated portfolios in stochastic portfolio theory. The main idea is to optimize over a family of rank-based portfolios parameterized…

投资组合管理 · 定量金融 2021-10-12 Steven Campbell , Ting-Kam Leonard Wong

For many algorithms, parameter tuning remains a challenging and critical task, which becomes tedious and infeasible in a multi-parameter setting. Multi-penalty regularization, successfully used for solving undetermined sparse regression of…

机器学习 · 统计学 2017-10-12 Markus Grasmair , Timo Klock , Valeriya Naumova

Every "x"-adjustment in the so-called xVA financial risk management framework relies on the computation of exposures. Considering thousands of Monte Carlo paths and tens of simulation steps, a financial portfolio needs to be evaluated…

计算金融 · 定量金融 2022-05-24 Lech A. Grzelak

Sparse principal component analysis (PCA) is a popular dimensionality reduction technique for obtaining principal components which are linear combinations of a small subset of the original features. Existing approaches cannot supply…

最优化与控制 · 数学 2022-02-22 Dimitris Bertsimas , Ryan Cory-Wright , Jean Pauphilet

In this paper, both dynamic mean-variance portfolio selection problems and dynamic variance hedging problems are discussed under non-Markovian framework. Explicit closed-loop equilibrium strategies of these problems are respectively…

最优化与控制 · 数学 2018-02-06 Tianxiao Wang

Many popular statistical models, such as factor and random effects models, give arise a certain type of covariance structures that is a summation of low rank and sparse matrices. This paper introduces a penalized approximation framework to…

统计方法学 · 统计学 2015-03-19 Xi Luo

This work discusses the benefits of constrained portfolio turnover strategies for small to medium-sized portfolios. We propose a dynamic multi-period model that aims to minimize transaction costs and maximize terminal wealth levels whilst…

计算金融 · 定量金融 2024-01-26 Nakul Upadhya , Alexandre Granzer-Guay

We find economically and statistically significant gains when using machine learning for portfolio allocation between the market index and risk-free asset. Optimal portfolio rules for time-varying expected returns and volatility are…

投资组合管理 · 定量金融 2021-11-05 Michael Pinelis , David Ruppert

In this paper we propose a novel application of Gaussian processes (GPs) to financial asset allocation. Our approach is deeply rooted in Stochastic Portfolio Theory (SPT), a stochastic analysis framework introduced by Robert Fernholz that…

投资组合管理 · 定量金融 2016-07-06 Yves-Laurent Kom Samo , Alexander Vervuurt

We examine machine learning and factor-based portfolio optimization. We find that factors based on autoencoder neural networks exhibit a weaker relationship with commonly used characteristic-sorted portfolios than popular dimensionality…

投资组合管理 · 定量金融 2021-07-30 Thomas Conlon , John Cotter , Iason Kynigakis

We study a continuous-time portfolio optimization problem under an explicit constraint on the Deviation Conditional Value-at-Risk (DCVaR), defined as the difference between the CVaR and the expected terminal wealth. While the mean-CVaR…

最优化与控制 · 数学 2025-10-01 Jérôme Lelong , Véronique Maume-Deschamps , William Thevenot

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…

最优化与控制 · 数学 2023-11-09 Pulak Swain , Akshay Kumar Ojha

Financial portfolio optimization is a widely studied problem in mathematics, statistics, financial and computational literature. It adheres to determining an optimal combination of weights associated with financial assets held in a…

投资组合管理 · 定量金融 2013-01-21 Ankit Dangi