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Clustering techniques are very attractive for extracting and identifying patterns in datasets. However, their application to very large spatial datasets presents numerous challenges such as high-dimensionality data, heterogeneity, and high…

Databases · Computer Science 2018-02-27 Malika Bendechache , Nhien-An Le-Khac , M-Tahar Kechadi

Clustering financial assets based on return correlations is a fundamental task in portfolio optimization and statistical arbitrage. However, classical clustering methods often fall short when dealing with signed correlation structures,…

Quantum Physics · Physics 2026-02-25 Shivam Sharma , Supreeth Mysore Venkatesh , Pushkin Kachroo

In this work, the possibility of clustering correlated random variables was examined, both because of their mutual similarity and because of their similarity to the principal components. The k-means algorithm and spectral algorithms were…

Machine Learning · Computer Science 2019-09-10 Zenon Gniazdowski , Dawid Kaliszewski

Index tracking is a popular form of asset management. Typically, a quadratic function is used to define the tracking error of a portfolio and the look back approach is applied to solve the index tracking problem. We argue that a forward…

Portfolio Management · Quantitative Finance 2021-07-27 Spiridon Penev , Pavel Shevchenko , Wei Wu

Risk budgeting is a portfolio strategy where each asset contributes a prespecified amount to the aggregate risk of the portfolio. In this work, we propose an efficient numerical framework that uses only simulations of returns for estimating…

Portfolio Management · Quantitative Finance 2023-02-03 Bernardo Freitas Paulo da Costa , Silvana M. Pesenti , Rodrigo S. Targino

This study examines portfolio selection using predictive models for portfolio returns. Portfolio selection is a fundamental task in finance, and a variety of methods have been developed to achieve this goal. For instance, the mean-variance…

Portfolio Management · Quantitative Finance 2025-02-14 Masahiro Kato

Fast and high quality document clustering is an important task in organizing information, search engine results obtaining from user query, enhancing web crawling and information retrieval. With the large amount of data available and with a…

Information Retrieval · Computer Science 2010-03-11 Alok Ranjan , Harish Verma , Eatesh Kandpal , Joydip Dhar

Sample re-weighting strategies provide a promising mechanism to deal with imperfect training data in machine learning, such as noisily labeled or class-imbalanced data. One such strategy involves formulating a bi-level optimization problem…

Machine Learning · Computer Science 2023-02-10 Yinjun Wu , Adam Stein , Jacob Gardner , Mayur Naik

In portfolio optimization problems, the minimum expected investment risk is not always smaller than the expected minimal investment risk. That is, using a well-known approach from operations research, it is possible to derive a strategy…

Portfolio Management · Quantitative Finance 2016-12-15 Takashi Shinzato

Many cryptocurrency brokers nowadays offer a variety of derivative assets that allow traders to perform hedging or speculation. This paper proposes an effective algorithm based on neural networks to take advantage of these investment…

Machine Learning · Computer Science 2023-10-03 Quoc Minh Nguyen , Dat Thanh Tran , Juho Kanniainen , Alexandros Iosifidis , Moncef Gabbouj

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

Robust optimization is a tractable and expressive technique for decision-making under uncertainty, but it can lead to overly conservative decisions when pessimistic assumptions are made on the uncertain parameters. Wasserstein…

Optimization and Control · Mathematics 2026-04-07 Irina Wang , Cole Becker , Bart Van Parys , Bartolomeo Stellato

We develop and implement methods for determining whether relaxing sparsity constraints on portfolios improves the investment opportunity set for risk-averse investors. We formulate a new estimation procedure for sparse second-order…

Econometrics · Economics 2024-09-02 Stelios Arvanitis , Olivier Scaillet , Nikolas Topaloglou

In this work we focus on efficient heuristics for solving a class of stochastic planning problems that arise in a variety of business, investment, and industrial applications. The problem is best described in terms of future buy and sell…

Artificial Intelligence · Computer Science 2013-01-14 Milos Hauskrecht , Eli Upfal

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…

Portfolio Management · Quantitative Finance 2024-10-01 Cristiano Arbex Valle

This article studies and solves the problem of optimal portfolio allocation with CV@R penalty when dealing with imperfectly simulated financial assets. We use a Stochastic biased Mirror Descent to find optimal resource allocation for a…

Optimization and Control · Mathematics 2024-02-20 Manon Costa , Sébastien Gadat , Lorick Huang

Clustering is a NP-hard problem. Thus, no optimal algorithm exists, heuristics are applied to cluster the data. Heuristics can be very resource-intensive, if not applied properly. For substantially large data sets computational efficiencies…

Databases · Computer Science 2020-03-11 Mujahid Sultan

$K$-means clustering is one of the most widely-used partitioning algorithm in cluster analysis due to its simplicity and computational efficiency. However, $K$-means does not provide an appropriate clustering result when applying to data…

Methodology · Statistics 2021-03-18 Bingling Wang , Yinxing Li , Wolfgang Karl Härdle

We give a complete algorithm and source code for constructing what we refer to as heterotic risk models (for equities), which combine: i) granularity of an industry classification; ii) diagonality of the principal component factor…

Portfolio Management · Quantitative Finance 2016-01-26 Zura Kakushadze

Manifold clustering, with its exceptional ability to capture complex data structures, holds a pivotal position in cluster analysis. However, existing methods often focus only on finding the optimal combination between K-means and manifold…

Machine Learning · Computer Science 2025-04-30 Fangfang Li , Quanxue Gao