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Solving combinatorial optimization problems involve satisfying a set of hard constraints while optimizing some objectives. In this context, exact or approximate methods can be used. While exact methods guarantee the optimal solution, they…

人工智能 · 计算机科学 2024-09-13 Aymen Ben Said , Malek Mouhoub

The constraint satisfaction problem (CSP) involves deciding, given a set of variables and a set of constraints on the variables, whether or not there is an assignment to the variables satisfying all of the constraints. One formulation of…

计算复杂性 · 计算机科学 2017-01-09 Hubie Chen , Benoit Larose

Quadratically constrained quadratic programs (QCQPs) are ubiquitous in optimization: Such problems arise in applications from operations research, power systems, signal processing, chemical engineering, and portfolio theory, among others.…

最优化与控制 · 数学 2026-03-31 Muge Dedeoglu , Buket Ozen , Burak Kocuk

Solving large-scale robust portfolio optimization problems is challenging due to the high computational demands associated with an increasing number of assets, the amount of data considered, and market uncertainty. To address this issue, we…

计算金融 · 定量金融 2024-08-16 Chung-Han Hsieh , Jie-Ling Lu

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…

数据结构与算法 · 计算机科学 2024-12-03 Marina Drygala , Silvio Lattanzi , Andreas Maggiori , Miltiadis Stouras , Ola Svensson , Sergei Vassilvitskii

Portfolio Selection is an important real-world financial task and has attracted extensive attention in artificial intelligence communities. This task, however, has two main difficulties: (i) the non-stationary price series and complex asset…

机器学习 · 计算机科学 2020-03-09 Yifan Zhang , Peilin Zhao , Qingyao Wu , Bin Li , Junzhou Huang , Mingkui Tan

The promise constraint satisfaction problem (PCSP) is a recently introduced vast generalisation of the constraint satisfaction problem (CSP) that captures approximability of satisfiable instances. A PCSP instance comes with two forms of…

计算复杂性 · 计算机科学 2023-01-31 Alex Brandts , Stanislav Živný

Feature selection is an important preprocessing step in machine learning and data mining. In real-world applications, costs, including money, time and other resources, are required to acquire the features. In some cases, there is a test…

人工智能 · 计算机科学 2013-05-22 Fan Min , Qinghua Hu , William Zhu

In this paper, we propose an extension of our Mining for SAT framework to Constraint satisfaction Problem (CSP). We consider n-ary extensional constraints (table constraints). Our approach aims to reduce the size of the CSP by exploiting…

人工智能 · 计算机科学 2013-05-16 Said Jabbour , Lakhdar Sais , Yakoub Salhi

We relook at the classic equity fund selection and portfolio construction problems from a new perspective and propose an easy-to-implement framework to tackle the problem in practical investment. Rather than the conventional way by…

投资组合管理 · 定量金融 2020-04-24 Yi Cao

We propose, analyze, and test a proximal-gradient method for solving regularized optimization problems with general constraints. The method employs a decomposition strategy to compute trial steps and uses a merit function to determine step…

最优化与控制 · 数学 2026-01-16 Frank E. Curtis , Xiaoyi Qu , Daniel P. Robinson

In the last two decades the study of random instances of constraint satisfaction problems (CSPs) has flourished across several disciplines, including computer science, mathematics and physics. The diversity of the developed methods, on the…

组合数学 · 数学 2025-07-02 Konstantinos Panagiotou , Matija Pasch

We introduce a financial portfolio optimization framework that allows us to automatically select the relevant assets and estimate their weights by relying on a sorted $\ell_1$-Norm penalization, henceforth SLOPE. Our approach is able to…

投资组合管理 · 定量金融 2021-07-30 Philipp J. Kremer , Sangkyun Lee , Malgorzata Bogdan , Sandra Paterlini

In many learning tasks, certain requirements on the processing of individual data samples should arguably be formalized as strict constraints in the underlying optimization problem, rather than by means of arbitrary penalties. We show that,…

In academic literature portfolio risk management and hedging are often versed in the language of stochastic control and Hamilton--Jacobi--Bellman~(HJB) equations in continuous time. In practice the continuous-time framework of stochastic…

投资组合管理 · 定量金融 2023-09-28 Paul Alexander Bilokon

Sparse Subspace Clustering (SSC) has been used extensively for subspace identification tasks due to its theoretical guarantees and relative ease of implementation. However SSC has quadratic computation and memory requirements with respect…

计算机视觉与模式识别 · 计算机科学 2017-04-14 Stephen Tierney , Yi Guo , Junbin Gao

Maximum surjective constraint satisfaction problems (Max-Sur-CSPs) are computational problems where we are given a set of variables denoting values from a finite domain B and a set of constraints on the variables. A solution to such a…

计算复杂性 · 计算机科学 2011-10-14 Walter Bach , Hang Zhou

This paper studies a distributionally robust portfolio optimization model with a cardinality constraint for limiting the number of invested assets. We formulate this model as a mixed-integer semidefinite optimization (MISDO) problem by…

最优化与控制 · 数学 2022-12-22 Ken Kobayashi , Yuichi Takano , Kazuhide Nakata

Many real-world problems, such as those with fairness constraints, involve complex expectation constraints and large datasets, necessitating the design of efficient stochastic methods to solve them. Most existing research focuses on cases…

最优化与控制 · 数学 2025-09-11 Wei Liu , Yangyang Xu

We build on a recently proposed method for stepwise explaining solutions of Constraint Satisfaction Problems (CSP) in a human-understandable way. An explanation here is a sequence of simple inference steps where simplicity is quantified…

人工智能 · 计算机科学 2023-11-29 Emilio Gamba , Bart Bogaerts , Tias Guns