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We consider the problem of optimizing a portfolio of financial assets, where the number of assets can be much larger than the number of observations. The optimal portfolio weights require estimating the inverse covariance matrix of excess…

Portfolio Management · Quantitative Finance 2021-09-29 Anik Burman , Sayantan Banerjee

Derivative hedging and pricing are important and continuously studied topics in financial markets. Recently, deep hedging has been proposed as a promising approach that uses deep learning to approximate the optimal hedging strategy and can…

Computational Finance · Quantitative Finance 2024-04-16 Masanori Hirano

The family of admissible positions in a transaction costs model is a random closed set, which is convex in case of proportional transaction costs. However, the convexity fails, e.g. in case of fixed transaction costs or when only a finite…

Risk Management · Quantitative Finance 2021-01-15 Andreas Haier , Ilya Molchanov

Managing insurance and financial risk when data is limited is a key task in the insurance industry. In this paper, we focus on cases where the risk distribution is modeled as a mixture with some components estimable to high precision or…

Optimization and Control · Mathematics 2026-03-03 N. D. Shyamalkumar , Tianrun Wang

We study hedging and pricing of unattainable contingent claims in a non-Markovian regime-switching financial model. Our financial market consists of a bank account and a risky asset whose dynamics are driven by a Brownian motion and a…

Pricing of Securities · Quantitative Finance 2013-03-19 Łukasz Delong , Antoon Pelsser

Accurate forecasting of downside risks to economic growth is critically important for policymakers and financial institutions, particularly in the wake of recent economic crises. This paper extends the Growth-at-Risk (GaR) approach by…

Econometrics · Economics 2025-11-10 Cansu Isler

From an optimizer's perspective, achieving the global optimum for a general nonconvex problem is often provably NP-hard using the classical worst-case analysis. In the case of Cox's proportional hazards model, by taking its statistical…

Statistics Theory · Mathematics 2021-07-07 Jianqing Fan , Wenyan Gong , Qiang Sun

This paper introduces and examines numerical approximation schemes for computing risk budgeting portfolios associated to positive homogeneous and sub-additive risk measures. We employ Mirror Descent algorithms to determine the optimal risk…

Portfolio Management · Quantitative Finance 2024-11-20 Martin Arnaiz Iglesias , Adil Rengim Cetingoz , Noufel Frikha

The hazard ratio, typically estimated using Cox's famous proportional hazards model, is the most common effect measure used to describe the association or effect of a covariate on a time-to-event outcome. In recent years the hazard ratio…

Methodology · Statistics 2026-01-15 Jonathan W. Bartlett , Dominic Magirr , Tim P. Morris

In the present paper, using a replica analysis, we examine the portfolio optimization problem handled in previous work and discuss the minimization of investment risk under constraints of budget and expected return for the case that the…

Portfolio Management · Quantitative Finance 2017-03-09 Takashi Shinzato

We study the problem of finding the worst-case joint distribution of a set of risk factors given prescribed multivariate marginals and a nonlinear loss function. We show that when the risk measure is CVaR, and the distributions are…

Risk Management · Quantitative Finance 2016-10-31 Amir Memartoluie , David Saunders , Tony Wirjanto

Gradient-based algorithms are effective for many machine learning tasks, but despite ample recent effort and some progress, it often remains unclear why they work in practice in optimising high-dimensional non-convex functions and why they…

Machine Learning · Computer Science 2020-04-02 Stefano Sarao Mannelli , Giulio Biroli , Chiara Cammarota , Florent Krzakala , Lenka Zdeborová

For long term investments, model portfolios are defined at the level of indexes, a setup known as Strategic Asset Allocation (SAA). The possible outcomes at a scale of a few decades can be obtained by Monte Carlo simulations, resulting in a…

Risk Management · Quantitative Finance 2025-11-25 Gilles Zumbach

Deep hedging uses recurrent neural networks to hedge financial products that cannot be fully hedged in incomplete markets. Previous work in this area focuses on minimizing some measure of quadratic hedging error by calculating pathwise…

Mathematical Finance · Quantitative Finance 2025-10-21 Alok Das , Kiseop Lee

This paper introduces a novel methodology for index return forecasting, blending highly correlated stock prices, advanced deep learning techniques, and intricate factor integration. Departing from conventional cap-weighted approaches, our…

General Finance · Quantitative Finance 2024-05-06 Tian Tian , Ricky Cooper , Jiahao Deng , Qingquan Zhang

We study a static portfolio optimization problem with two risk measures: a principle risk measure in the objective function and a secondary risk measure whose value is controlled in the constraints. This problem is of interest when it is…

Portfolio Management · Quantitative Finance 2020-12-14 Çağın Ararat

Hedge funds have long been viewed as a veritable "black box" of investing since outsiders may never view the exact composition of portfolio holdings. Therefore, the ability to estimate an informative set of asset weights is highly desirable…

Applications · Statistics 2013-06-06 Laszlo F. Korsos

Performing a comprehensive side-channel analysis evaluation of small embedded devices is a process known for its variability and complexity. In real-world experimental setups, the results are largely influenced by a huge amount of…

Cryptography and Security · Computer Science 2020-06-24 Unai Rioja , Servio Paguada , Lejla Batina , Igor Armendariz

The purpose of these notes is to provide a systematic quantitative framework - in what is intended to be a "pedagogical" fashion - for discussing mean-reversion and optimization. We start with pair trading and add complexity by following…

Portfolio Management · Quantitative Finance 2016-02-15 Zura Kakushadze

Performance of investment managers are evaluated in comparison with benchmarks, such as financial indices. Due to the operational constraint that most professional databases do not track the change of constitution of benchmark portfolios,…

Portfolio Management · Quantitative Finance 2014-08-26 Gilles Daniel , Didier Sornette , Peter Wohrmann