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We introduce a novel approach to portfolio optimization that leverages hierarchical graph structures and the Schur complement method to systematically reduce computational complexity while preserving full covariance information. Inspired by…

投资组合管理 · 定量金融 2025-03-18 Gamal Mograby

Hierarchical Risk Parity (De Pardo) and the Schur-complement generalization of Cotton are among the most widely adopted regularised portfolio construction methods, yet both are signal-blind: they solve only the minimum-variance problem and…

投资组合管理 · 定量金融 2026-04-28 Bernd Johannes Wuebben

This study applies the Hierarchical Risk Parity (HRP) portfolio allocation methodology to the NUAM market, a regional holding that integrates the markets of Chile, Colombia and Peru. As one of the first empirical analyses of HRP in this…

投资组合管理 · 定量金融 2025-09-05 Gonzalo Ramirez-Carrillo , David Ortiz-Mora , Alex Aguilar-Larrotta

Markowitz' celebrated optimal portfolio theory generally fails to deliver out-of-sample diversification. In this note, we propose a new portfolio construction strategy based on symmetry arguments only, leading to "Eigenrisk Parity"…

Although portfolio management didn't change much during the 40 years after the seminal works of Markowitz and Sharpe, the development of risk budgeting techniques marked an important milestone in the deepening of the relationship between…

投资组合管理 · 定量金融 2014-03-11 Thierry Roncalli

Portfolio optimization is a task that investors use to determine the best allocations for their investments, and fund managers implement computational models to help guide their decisions. While one of the most common portfolio optimization…

投资组合管理 · 定量金融 2023-08-23 Kapil Panda

In this paper, we investigate the features and the performance of the Risk Parity (RP) portfolios using the Mean Absolute Deviation (MAD) as a risk measure. The RP model is a recent strategy for asset allocation that aims at equally sharing…

投资组合管理 · 定量金融 2024-01-19 Çağın Ararat , Francesco Cesarone , Mustafa Çelebi Pınar , Jacopo Maria Ricci

While researchers in the asset management industry have mostly focused on techniques based on financial and risk planning techniques like Markowitz efficient frontier, minimum variance, maximum diversification or equal risk parity, in…

机器学习 · 计算机科学 2020-10-20 Eric Benhamou , David Saltiel , Sandrine Ungari , Abhishek Mukhopadhyay

Portfolio optimization emerged with the seminal paper of Markowitz (1952). The original mean-variance framework is appealing because it is very efficient from a computational point of view. However, it also has one well-established failing…

投资组合管理 · 定量金融 2019-09-24 Sarah Perrin , Thierry Roncalli

We introduce diversified risk parity embedded with various reward-risk measures and more generic allocation rules for portfolio construction. We empirically test the proposed reward-risk parity strategies and compare their performance with…

投资组合管理 · 定量金融 2022-09-30 Jaehyung Choi , Hyangju Kim , Young Shin Kim

Bike sharing provides an environment-friendly way for traveling and is booming all over the world. Yet, due to the high similarity of user travel patterns, the bike imbalance problem constantly occurs, especially for dockless bike sharing…

人工智能 · 计算机科学 2018-12-04 Ling Pan , Qingpeng Cai , Zhixuan Fang , Pingzhong Tang , Longbo Huang

Modern portfolio theory has provided for decades the main framework for optimizing portfolios. Because of its sensitivity to small changes in input parameters, especially expected returns, the mean-variance framework proposed by Markowitz…

投资组合管理 · 定量金融 2023-09-06 Adil Rengim Cetingoz , Jean-David Fermanian , Olivier Guéant

Portfolio optimization has been an area of research that has attracted a lot of attention from researchers and financial analysts. Designing an optimum portfolio is a complex task since it not only involves accurate forecasting of future…

投资组合管理 · 定量金融 2022-10-04 Jaydip Sen , Abhishek Dutta

Portfolio management via reinforcement learning is at the forefront of fintech research, which explores how to optimally reallocate a fund into different financial assets over the long term by trial-and-error. Existing methods are…

人工智能 · 计算机科学 2021-02-09 Rundong Wang , Hongxin Wei , Bo An , Zhouyan Feng , Jun Yao

This work proposes a novel portfolio management technique, the Meta Portfolio Method (MPM), inspired by the successes of meta approaches in the field of bioinformatics and elsewhere. The MPM uses XGBoost to learn how to switch between two…

投资组合管理 · 定量金融 2022-06-02 Damian Kisiel , Denise Gorse

Motivated by the unceasing interest in hidden Markov models (HMMs), this paper re-examines hidden path inference in these models, using primarily a risk-based framework. While the most common maximum a posteriori (MAP), or Viterbi, path…

机器学习 · 统计学 2013-04-17 Jüri Lember , Alexey A. Koloydenko

Portfolio optimization has long been dominated by covariance-based strategies, such as the Markowitz Mean-Variance framework. However, these approaches often fail to ensure a balanced risk structure across assets, leading to concentration…

投资组合管理 · 定量金融 2025-08-07 Biswarup Chakraborty

The Analytic Hierarchy Process (AHP) is widely used for decision making involving multiple criteria. Elsner and van den Driessche introduced a max-algebraic approach to the single criterion AHP. We extend this to the multi-criteria AHP, by…

环与代数 · 数学 2019-03-26 Buket Benek Gursoy , Oliver Mason , Sergei Sergeev

We propose a two-level, learning-based portfolio method (RL-BHRP) that spreads risk across sectors and stocks, and adjusts exposures as market conditions change. Using U.S. Equities from 2012 to mid-2025, we design the model using 2012 to…

投资组合管理 · 定量金融 2025-08-19 Shaofeng Kang , Zeying Tian

Machine learning algorithms with empirical risk minimization usually suffer from poor generalization performance due to the greedy exploitation of correlations among the training data, which are not stable under distributional shifts.…

机器学习 · 计算机科学 2021-06-18 Jiashuo Liu , Zheyuan Hu , Peng Cui , Bo Li , Zheyan Shen
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