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In this work, we consider multiobjective optimization problems with both bound constraints on the variables and general nonlinear constraints, where objective and constraint function values can only be obtained by querying a black box.…

Optimization and Control · Mathematics 2022-04-15 Giampaolo Liuzzi , Stefano Lucidi

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…

Portfolio Management · Quantitative Finance 2017-12-05 Oleg Malafeyev , Achal Awasthi

The Portfolio Optimization task has long been studied in the Financial Services literature as a procedure to identify the basket of assets that satisfy desired conditions on the expected return and the associated risk. A well-known approach…

Bayesian optimization with Gaussian processes has become an increasingly popular tool in the machine learning community. It is efficient and can be used when very little is known about the objective function, making it popular in expensive…

Machine Learning · Computer Science 2011-03-08 Eric Brochu , Matthew W. Hoffman , Nando de Freitas

Understanding the dependencies among financial assets is critical for portfolio optimization. Traditional approaches based on correlation networks often fail to capture the nonlinear and directional relationships that exist in financial…

Portfolio Management · Quantitative Finance 2025-01-15 Riccardo De Blasis , Luca Galati , Filippo Petroni

Recommender systems play an essential role in online services by providing personalized item lists to support users' decision-making processes. While collaborative filtering methods can achieve high accuracy, it is crucial to consider not…

Optimization and Control · Mathematics 2026-03-24 Tomoya Yanagi , Shunnosuke Ikeda , Ken Kobayashi , Yuichi Takano

Optimal portfolio selection problems are determined by the (unknown) parameters of the data generating process. If an investor wants to realise the position suggested by the optimal portfolios, he/she needs to estimate the unknown…

Portfolio Management · Quantitative Finance 2023-04-19 Taras Bodnar , Holger Dette , Nestor Parolya , Erik Thorsén

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,…

Machine Learning · Computer Science 2023-04-14 Sonia Bullah , Terence L. van Zyl

In this paper, we consider a new problem of portfolio optimization using stochastic information. In a setting where there is some uncertainty, we ask how to best select $k$ potential solutions, with the goal of optimizing the value of the…

Data Structures and Algorithms · Computer Science 2024-12-03 Marina Drygala , Silvio Lattanzi , Andreas Maggiori , Miltiadis Stouras , Ola Svensson , Sergei Vassilvitskii

Considering mean-variance portfolio problems with uncertain model parameters, we contrast the classical absolute robust optimization approach with the relative robust approach based on a maximum regret function. Although the latter problems…

Portfolio Management · Quantitative Finance 2013-05-14 Raphael Hauser , Vijay Krishnamurthy , Reha Tütüncü

This paper studies a portfolio allocation problem, where the goal is to prescribe the wealth distribution at the final time. We study this problem with the tools of optimal mass transport. We provide a dual formulation which we solve by a…

Optimization and Control · Mathematics 2022-04-19 Ivan Guo , Nicolas Langrené , Grégoire Loeper , Wei Ning

Optimization problems have been the subject of statistical physics approximations. A specially relevant and general scenario is provided by optimization methods considering tradeoffs between cost and efficiency, where optimal solutions…

Statistical Mechanics · Physics 2015-09-16 Luís F. Seoane , Ricard V. Solé

We present a general framework for portfolio risk management in discrete time, based on a replicating martingale. This martingale is learned from a finite sample in a supervised setting. The model learns the features necessary for an…

Risk Management · Quantitative Finance 2022-05-09 Lucio Fernandez-Arjona , Damir Filipović

We study financial networks where banks are connected through bilateral liabilities and may default when resources are insufficient to meet obligations. We consider both the standard proportional clearing model and a priority-proportional…

Computer Science and Game Theory · Computer Science 2026-03-31 Gergely Csáji , Rareş-Ioan Mateiu , Alexandru Popa , Ildikó Schlotter

Portfolio management problems are often divided into two types: active and passive, where the objective is to outperform and track a preselected benchmark, respectively. Here, we formulate and solve a dynamic asset allocation problem that…

Portfolio Management · Quantitative Finance 2018-07-31 Ali Al-Aradi , Sebastian Jaimungal

Stochastic algorithms are among the best for solving computationally hard search and reasoning problems. The runtime of such procedures is characterized by a random variable. Different algorithms give rise to different probability…

Artificial Intelligence · Computer Science 2013-02-08 Carla P. Gomes , Bart Selman

In this paper, we revisit the portfolio optimization problems of the minimization/maximization of investment risk under constraints of budget and investment concentration (primal problem) and the maximization/minimization of investment…

Portfolio Management · Quantitative Finance 2018-01-17 Daichi Tada , Hisashi Yamamoto , Takashi Shinzato

This paper investigates performance attribution measures as a basis for constraining portfolio optimization. We employ optimizations that minimize expected tail loss and investigate both asset allocation (AA) and the selection effect (SE)…

Risk Management · Quantitative Finance 2021-03-09 Yuan Hu , W. Brent Lindquist

We analyze characteristics' joint predictive information through the lens of out-of-sample power utility functions. Linking weights to characteristics to form optimal portfolios suffers from estimation error which we mitigate by maximizing…

General Finance · Quantitative Finance 2024-02-05 Christopher G. Lamoureux , Huacheng Zhang

We present a multi-objective Bayesian optimisation algorithm that allows the user to express preference-order constraints on the objectives of the type "objective A is more important than objective B". These preferences are defined based on…

Machine Learning · Computer Science 2019-11-14 Majid Abdolshah , Alistair Shilton , Santu Rana , Sunil Gupta , Svetha Venkatesh
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