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We propose a scalable robust learning algorithm combining kernel smoothing and robust optimization. Our method is motivated by the convex analysis perspective of distributionally robust optimization based on probability metrics, such as the…

Machine Learning · Computer Science 2022-02-22 Jia-Jie Zhu , Christina Kouridi , Yassine Nemmour , Bernhard Schölkopf

This article is focused on using a new measurement of risk-- Weighted Value at Risk to develop a new method of constructing initiate from the TVAR solving problem, based on MATLAB software, using the historical simulation method (avoiding…

Risk Management · Quantitative Finance 2012-11-27 Tianyu Hao

We introduce a simple but effective method for managing risk in model-based reinforcement learning with trajectory sampling that involves probabilistic safety constraints and balancing of optimism in the face of epistemic uncertainty and…

Machine Learning · Computer Science 2023-09-12 Marin Vlastelica , Sebastian Blaes , Cristina Pineri , Georg Martius

We consider a distributionally robust formulation of stochastic optimization problems arising in statistical learning, where robustness is with respect to uncertainty in the underlying data distribution. Our formulation builds on…

Optimization and Control · Mathematics 2021-06-09 Mert Gürbüzbalaban , Andrzej Ruszczyński , Landi Zhu

Meta-analysis is a statistical method used in evidence synthesis for combining, analyzing and summarizing studies that have the same target endpoint and aims to derive a pooled quantitative estimate using fixed and random effects models or…

Methodology · Statistics 2022-04-25 Ivette Raices Cruz , Matthias C. M. Troffaes , Johan Lindström , Ullrika Sahlin

Determining risk contributions of unit exposures to portfolio-wide economic capital is an important task in financial risk management. Computing risk contributions involves difficulties caused by rare-event simulations. In this study, we…

Risk Management · Quantitative Finance 2019-01-18 Takaaki Koike , Mihoko Minami

This paper presents how the most recent improvements made on covariance matrix estimation and model order selection can be applied to the portfolio optimisation problem. The particular case of the Maximum Variety Portfolio is treated but…

Applications · Statistics 2018-04-03 Emmanuelle Jay , Eugénie Terreaux , Jean-Philippe Ovarlez , Frédéric Pascal

The ability to make optimal decisions under uncertainty remains important across a variety of disciplines from portfolio management to power engineering. This generally implies applying some safety margins on uncertain parameters that may…

Systems and Control · Electrical Eng. & Systems 2020-03-05 Matt Roveto , Robert Mieth , Yury Dvorkin

A weighted likelihood technique for robust estimation of a multivariate Wrapped Normal distribution for data points scattered on a p-dimensional torus is proposed. The occurrence of outliers in the sample at hand can badly compromise…

Methodology · Statistics 2021-07-01 Giovanni Saraceno , Claudio Agostinelli , Luca Greco

A robust estimator for a wide family of mixtures of linear regression is presented. Robustness is based on the joint adoption of the Cluster Weighted Model and of an estimator based on trimming and restrictions. The selected model provides…

Methodology · Statistics 2015-02-05 L. A. Garcia-Escudero , A. Gordaliza , F. Greselin , S. Ingrassia , A. Mayo-Iscar

In this paper, we investigate the features and the performance of the Risk Parity (RP) portfolios using the Mean Absolute Deviation (MAD) as a risk measure. The RP model is a recent strategy for asset allocation that aims at equally sharing…

Portfolio Management · Quantitative Finance 2024-01-19 Çağın Ararat , Francesco Cesarone , Mustafa Çelebi Pınar , Jacopo Maria Ricci

We propose a distributional framework for benchmarking socio-technical risks of foundation models with quantified statistical significance. Our approach hinges on a new statistical relative testing based on first and second order stochastic…

Insurance products frequently cover significant claims arising from a variety of sources. To model losses from these products accurately, actuarial models must account for high-severity claims. A widely used strategy is to apply a mixture…

Methodology · Statistics 2025-04-30 Sébastien Jessup , Mélina Mailhot , Mathieu Pigeon

We consider a binary unsupervised classification problem where each observation is associated with an unobserved label that we want to retrieve. More precisely, we assume that there are two groups of observation: normal and abnormal. The…

Machine Learning · Statistics 2011-05-05 Stevenn Volant , Marie-Laure Martin Magniette , Stéphane Robin

We develop the idea of using Monte Carlo sampling of random portfolios to solve portfolio investment problems. In this first paper we explore the need for more general optimization tools, and consider the means by which constrained random…

Portfolio Management · Quantitative Finance 2010-08-24 William T. Shaw

In high-stakes machine learning applications, it is crucial to not only perform well on average, but also when restricted to difficult examples. To address this, we consider the problem of training models in a risk-averse manner. We propose…

Machine Learning · Computer Science 2020-11-09 Sebastian Curi , Kfir. Y. Levy , Stefanie Jegelka , Andreas Krause

Many of the successes of machine learning are based on minimizing an averaged loss function. However, it is well-known that this paradigm suffers from robustness issues that hinder its applicability in safety-critical domains. These issues…

Machine Learning · Computer Science 2022-06-09 Alexander Robey , Luiz F. O. Chamon , George J. Pappas , Hamed Hassani

To comply with increasingly stringent international standards in risk management and regulation, several approaches have been developed in the literature for forecasting tail-risk measures such as Value-at-Risk (VaR) and Expected Shortfall…

Risk Management · Quantitative Finance 2026-03-02 Alessandra Amendola , Vincenzo Candila , Antonio Naimoli , Giuseppe Storti

This paper studies a robust continuous-time Markowitz portfolio selection pro\-blem where the model uncertainty carries on the covariance matrix of multiple risky assets. This problem is formulated into a min-max mean-variance problem over…

Portfolio Management · Quantitative Finance 2017-03-14 Amine Ismail , Huyên Pham

We consider the optimization of active extension portfolios. For this purpose, the optimization problem is rewritten as a stochastic programming model and solved using a clever multi-start local search heuristic, which turns out to provide…

Portfolio Management · Quantitative Finance 2014-07-01 Ronald Hochreiter , Christoph Waldhauser