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A novel numerical method for solving inverse scattering problem with fixed-energy data is proposed. The method contains a new important concept: the stability index of the inversion problem. This is a number, computed from the data, which…

数学物理 · 物理学 2007-05-23 S. Gutman , A. G. Ramm , W. Scheid

We discuss a class of risk-sensitive portfolio optimization problems. We consider the portfolio optimization model investigated by Nagai in 2003. The model by its nature can include fixed income securities as well in the portfolio. Under…

投资组合管理 · 定量金融 2008-12-02 Mayank Goel , K. Suresh Kumar

The design of the performance index, also referred to as cost or reward shaping, is central to both optimal control and reinforcement learning, as it directly determines the behaviors, trade-offs, and objectives that the resulting control…

系统与控制 · 电气工程与系统科学 2025-10-14 Ayush Rai , Shaoshuai Mou , Brian D. O. Anderson

In this paper we apply second-order stochastic dominance (SSD) to the problem of enhanced indexation with asset subset (sector) constraints. The problem we consider is how to construct a portfolio that is designed to outperform a given…

计算金融 · 定量金融 2024-11-12 Cristiano Arbex Valle , John E Beasley , Nigel Meade

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

Optimal execution of a portfolio have been a challenging problem for institutional investors. Traders face the trade-off between average trading price and uncertainty, and traditional methods suffer from the curse of dimensionality. Here,…

投资组合管理 · 定量金融 2023-06-16 Xiaoyue Li , John M. Mulvey

In this paper we propose a problem-driven scenario generation approach to the single-period portfolio selection problem which use tail risk measures such as conditional value-at-risk. Tail risk measures are useful for quantifying potential…

风险管理 · 定量金融 2019-11-14 Jamie Fairbrother , Amanda Turner , Stein Wallace

Visual tracking is typically solved as a discriminative learning problem that usually requires high-quality samples for online model adaptation. It is a critical and challenging problem to evaluate the training samples collected from…

计算机视觉与模式识别 · 计算机科学 2020-04-02 Weichao Li , Xi Li , Omar Elfarouk Bourahla , Fuxian Huang , Fei Wu , Wei Liu , Zhiheng Wang , Hongmin Liu

We use a replica approach to deal with portfolio optimization problems. A given risk measure is minimized using empirical estimates of asset values correlations. We study the phase transition which happens when the time series is too short…

物理与社会 · 物理学 2009-11-13 Stefano Ciliberti , Marc Mezard

This paper investigates the privacy-preserving distributed optimization problem, aiming to protect agents' private information from potential attackers during the optimization process. Gradient tracking, an advanced technique for improving…

机器学习 · 计算机科学 2025-09-24 Furan Xie , Bing Liu , Li Chai

It is important for a portfolio manager to estimate and analyze recent portfolio volatility to keep the portfolio's risk within limit. Though the number of financial instruments in the portfolio can be very large, sometimes more than…

统计金融 · 定量金融 2018-09-18 Sourish Das , Aritra Halder , Dipak K. Dey

Integer variables allow the treatment of some portfolio optimization problems in a more realistic way and introduce the possibility of adding some natural features to the model. We propose an algebraic approach to maximize the expected…

最优化与控制 · 数学 2010-04-07 F. Castro , J. Gago , I. Hartillo , J. Puerto , J. M. Ucha

Multi-objective portfolio optimisation is a critical problem researched across various fields of study as it achieves the objective of maximising the expected return while minimising the risk of a given portfolio at the same time. However,…

机器学习 · 计算机科学 2023-04-14 Sonia Bullah , Terence L. van Zyl

We consider a strategic network monitoring problem involving the operator of a networked system and an attacker. The operator aims to randomize the placement of multiple protected sensors to monitor and protect components that are…

最优化与控制 · 数学 2023-04-11 Jezdimir Milosevic , Mathieu Dahan , Saurabh Amin , Henrik Sandberg

Stock selection attempts to rank a list of stocks for optimizing investment decision making, aiming at minimizing investment risks while maximizing profit returns. Recently, researchers have developed various (recurrent) neural…

统计金融 · 定量金融 2022-10-31 Qiang Gao , Xinzhu Zhou , Kunpeng Zhang , Li Huang , Siyuan Liu , Fan Zhou

In this paper, we consider the problem of optimization of a portfolio consisting of securities. An investor with an initial capital, is interested in constructing a portfolio of securities. If the prices of securities change, the investor…

投资组合管理 · 定量金融 2017-12-05 Oleg Malafeyev , Achal Awasthi

Sparse signal recovery from a small number of random measurements is a well known NP-hard to solve combinatorial optimization problem, with important applications in signal and image processing. The standard approach to the sparse signal…

数据分析、统计与概率 · 物理学 2013-04-09 M. Andrecut

In this paper, as a first step in examining the properties of a feasible portfolio subset that is characterized by budget and risk constraints, we assess the maximum and minimum of the investment concentration using replica analysis. To do…

投资组合管理 · 定量金融 2016-08-17 Takashi Shinzato

Portfolio optimisation is essential in quantitative investing, but its implementation faces several practical difficulties. One particular challenge is converting optimal portfolio weights into real-life trades in the presence of realistic…

投资组合管理 · 定量金融 2024-10-01 Cristiano Arbex Valle

In the frictionless discrete time financial market of Bouchard et al.(2015) we consider a trader who, due to regulatory requirements or internal risk management reasons, is required to hedge a claim $\xi$ in a risk-conservative way relative…

数理金融 · 定量金融 2019-02-19 Laurence Carassus , Jan Obloj , Johannes Wiesel