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As machine learning models become increasingly prevalent in critical decision-making models and systems in fields like finance, healthcare, etc., ensuring their robustness against adversarial attacks and changes in the input data is…

Machine Learning · Statistics 2024-08-05 Arun Prakash R , Anwesha Bhattacharyya , Joel Vaughan , Vijayan N. Nair

This paper presents a novel machine learning approach to GDP prediction that incorporates volatility as a model weight. The proposed method is specifically designed to identify and select the most relevant macroeconomic variables for…

General Economics · Economics 2023-07-12 Ali Lashgari

Long prediction horizons in Model Predictive Control (MPC) often prove to be efficient, however, this comes with increased computational cost. Recently, a Robust Model Predictive Control (RMPC) method has been proposed which exploits models…

Systems and Control · Electrical Eng. & Systems 2021-05-17 Tim Brüdigam , Johannes Teutsch , Dirk Wollherr , Marion Leibold

The minimax robust hypothesis testing problem for the case where the nominal probability distributions are subject to both modeling errors and outliers is studied in twofold. First, a robust hypothesis testing scheme based on a relative…

Information Theory · Computer Science 2015-02-04 Gökhan Gül , Abdelhak M. Zoubir

We propose a neural network-based approach to calibrating stochastic volatility models, which combines the pioneering grid approach by Horvath et al. (2021) with the pointwise two-stage calibration of Bayer et al. (2018) and Liu et al.…

Pricing of Securities · Quantitative Finance 2024-01-15 Fabio Baschetti , Giacomo Bormetti , Pietro Rossi

Dynamical systems can confront one of two extreme types of disturbances: persistent zero-mean independent noise, and sparse nonzero-mean adversarial attacks, depending on the specific scenario being modeled. While mean-based estimators like…

Optimization and Control · Mathematics 2026-03-31 Jihun Kim , Javad Lavaei

We assess the advantage of combining univariate and multivariate portfolio risk forecasts with the aid of forecast reconciliation techniques. In our analyzes, we assume knowledge of portfolio weights, a standard for portfolio risk…

Applications · Statistics 2026-04-22 Massimiliano Caporin , Daniele Girolimetto , Emanuele Lopetuso

This paper deals with the problem of formulating an adaptive Model Predictive Control strategy for constrained uncertain systems. We consider a linear system, in presence of bounded time varying additive uncertainty. The uncertainty is…

Systems and Control · Electrical Eng. & Systems 2021-04-13 Monimoy Bujarbaruah , Xiaojing Zhang , Marko Tanaskovic , Francesco Borrelli

We develop a method to generate prediction sets with a guaranteed coverage rate that is robust to corruptions in the training data, such as missing or noisy variables. Our approach builds on conformal prediction, a powerful framework to…

Machine Learning · Computer Science 2025-01-10 Shai Feldman , Yaniv Romano

We study distributional robustness in the context of Extreme Value Theory (EVT). We provide a data-driven method for estimating extreme quantiles in a manner that is robust against incorrect model assumptions underlying the application of…

Statistics Theory · Mathematics 2020-06-09 Jose Blanchet , Fei He , Karthyek R. A. Murthy

In recent years, there has been a substantive interest in rough volatility models. In this class of models, the local behavior of stochastic volatility is much more irregular than semimartingales and resembles that of a fractional Brownian…

Statistics Theory · Mathematics 2024-06-17 Carsten Chong , Marc Hoffmann , Yanghui Liu , Mathieu Rosenbaum , Grégoire Szymanski

Regression methods are fundamental for scientific and technological applications. However, fitted models can be highly unreliable outside of their training domain, and hence the quantification of their uncertainty is crucial in many of…

Machine Learning · Statistics 2024-03-05 Filippo Bigi , Sanggyu Chong , Michele Ceriotti , Federico Grasselli

Robust and distributionally robust optimization are modeling paradigms for decision-making under uncertainty where the uncertain parameters are only known to reside in an uncertainty set or are governed by any probability distribution from…

Optimization and Control · Mathematics 2023-07-21 Jianzhe Zhen , Daniel Kuhn , Wolfram Wiesemann

In previous works Avellaneda et al. pioneered the pricing and hedging of index options - products highly sensitive to implied volatility and correlation assumptions - with large deviations methods, assuming local volatility dynamics for all…

Pricing of Securities · Quantitative Finance 2022-12-16 Peter K. Friz , Thomas Wagenhofer

We present a novel methodology for modeling and forecasting multivariate realized volatilities using customized graph neural networks to incorporate spillover effects across stocks. The proposed model offers the benefits of incorporating…

Statistical Finance · Quantitative Finance 2023-08-04 Chao Zhang , Xingyue Pu , Mihai Cucuringu , Xiaowen Dong

We introduce a modular framework that extends the signature method to handle American option pricing under evolving volatility roughness. Building on the signature-pricing framework of Bayer et al. (2025), we add three practical…

Mathematical Finance · Quantitative Finance 2025-08-13 Roshan Shah

Gaussian process regression in its most simplified form assumes normal homoscedastic noise and utilizes analytically tractable mean and covariance functions of predictive posterior distribution using Gaussian conditioning. Its…

Applications · Statistics 2023-01-20 Pooja Algikar , Lamine Mili

High-dimensional data subject to heavy-tailed phenomena and heterogeneity are commonly encountered in various scientific fields and bring new challenges to the classical statistical methods. In this paper, we combine the asymmetric square…

Statistics Theory · Mathematics 2019-10-02 Jun Zhao , Guan'ao Yan , Yi Zhang

This paper introduces a methodology for constructing a market index composed of a liquid risky asset and a liquid risk-free asset that achieves a fixed target volatility. Existing volatility-targeting strategies typically scale portfolio…

This work proposes a unified framework for portfolio allocation, covering both asset selection and optimization, based on a multiple-hypothesis predict-then-optimize approach. The portfolio is modeled as a structured ensemble, where each…

Portfolio Management · Quantitative Finance 2025-11-19 Alejandro Rodriguez Dominguez , Muhammad Shahzad , Xia Hong