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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

This work considers the problem of designing an attack strategy on remote state estimation under the condition of strict stealthiness and $\epsilon$-stealthiness of the attack. An attacker is assumed to be able to launch a linear attack to…

Systems and Control · Electrical Eng. & Systems 2020-06-09 Hanxiao Liu , Yuqing Ni , Lihua Xie , Karl Henrik Johansson

In this paper, we consider a risk-based optimal investment problem of an insurer in a regime-switching jump diffusion model with noisy memory. Using the model uncertainty modeling, we formulate the investment problem as a zero-sum,…

Portfolio Management · Quantitative Finance 2019-03-25 Rodwell Kufakunesu , Calisto Guambe , Lesedi Mabitsela

This paper considers a method of coding the sensor outputs in order to detect stealthy false data injection attacks. An intelligent attacker can design a sequence of data injection to sensors and actuators that pass the state estimator and…

Cryptography and Security · Computer Science 2016-11-17 Fei Miao , Quanyan Zhu , Miroslav Pajic , George J. Pappas

In this paper are presented methods of impact analysis on informatics system security accidents, qualitative and quantitative methods, starting with risk and informational system security definitions. It is presented the relationship…

General Finance · Quantitative Finance 2013-03-08 Floarea Baicu , Maria Alexandra Baches

Data acquisition efficiency is a central challenge in deploying reinforcement learning in business and healthcare operations, where interactions are costly, slow, and often involve humans in the loop. This paper develops a unified large…

Machine Learning · Computer Science 2026-05-28 Mingjie Hu , Jian-Qiang Hu , Enlu Zhou

This paper deals with the problem of accurately determining guaranteed suboptimal values of an unknown cost function on the basis of noisy measurements. We consider a set-valued variant to regression where, instead of finding a best…

Optimization and Control · Mathematics 2024-07-29 Jaap Eising , Jorge Cortes

This paper is devoted to study the effects arising from imposing a value-at-risk (VaR) constraint in mean-variance portfolio selection problem for an investor who receives a stochastic cash flow which he/she must then invest in a…

Portfolio Management · Quantitative Finance 2010-11-24 Jun Ye , Tiantian Li

Consensus in multi-agent dynamical systems is prone to be sabotaged by the adversary, which has attracted much attention due to its key role in broad applications. In this paper, we study a new false data injection (FDI) attack design…

Dynamical Systems · Mathematics 2022-03-09 Xiaoyu Luo , Chengcheng Zhao , Chongrong Fang , Jianping He

In recent years, it has become apparent that an isolated microprudential approach to capital adequacy requirements of individual institutions is insufficient. It can increase the homogeneity of the financial system and ultimately the cost…

Risk Management · Quantitative Finance 2023-11-27 Jana Hlavinova , Birgit Rudloff , Alexander Smirnow

In this paper we develop a novel methodology for estimation of risk capital allocation. The methodology is rooted in the theory of risk measures. We work within a general, but tractable class of law-invariant coherent risk measures, with a…

Risk Management · Quantitative Finance 2019-11-25 Tomasz R. Bielecki , Igor Cialenco , Marcin Pitera , Thorsten Schmidt

This note addresses the problem of evaluating the impact of an attack on discrete-time nonlinear stochastic control systems. The problem is formulated as an optimal control problem with a joint chance constraint that forces the adversary to…

Optimization and Control · Mathematics 2023-01-31 Hampei Sasahara , Takashi Tanaka , Henrik Sandberg

In this paper, we study convex risk measures with weak optimal transport penalties. In a first step, we show that these risk measures allow for an explicit representation via a nonlinear transform of the loss function. In a second step, we…

Mathematical Finance · Quantitative Finance 2023-12-12 Michael Kupper , Max Nendel , Alessandro Sgarabottolo

This paper investigates the critical-time criteria as a security metric for controlled systems subject to sharp input anomalies (attack, fault), characterized by having high impact in a reduced amount of time (e.g. denial-of-service, attack…

Systems and Control · Electrical Eng. & Systems 2023-07-26 Arthur Perodou , Christophe Combastel , Ali Zolghadri

There has been a significant increase in the development of data-driven safety analytics approaches in recent years. In light of these advances it has become imperative to evaluate such approaches in a principled way to determine their…

Applications · Statistics 2022-05-02 Antonio R. Paiva , Ashutosh Tewari

Having a perfect model to compute the optimal policy is often infeasible in reinforcement learning. It is important in high-stakes domains to quantify and manage risk induced by model uncertainties. Entropic risk measure is an exponential…

Machine Learning · Computer Science 2020-06-23 Reazul Hasan Russel , Bahram Behzadian , Marek Petrik

With current advancement in hybermedia knowledges, the privacy of digital information has developed a critical problem. To overawed the susceptibilities of present security protocols, scholars tend to focus mainly on efforts on alternation…

Cryptography and Security · Computer Science 2025-07-01 Zaydon L. Ali , Wassan Saad Abduljabbar Hayale , Israa Ibraheem Al_Barazanchi , Ravi Sekhar , Pritesh Shah , Sushma Parihar

In this paper, we study the impact of stealthy attacks on the Cyber-Physical System (CPS) modeled as a stochastic linear system. An attack is characterised by a malicious injection into the system through input, output or both, and it is…

Systems and Control · Electrical Eng. & Systems 2020-02-06 Tianju Sui , Yilin Mo , Damián Marelli , Ximing Sun , Minyue Fu

Many safety-critical real-world problems, such as autonomous driving and collaborative robots, are of a distributed multi-agent nature. To optimize the performance of these systems while ensuring safety, we can cast them as distributed…

Systems and Control · Electrical Eng. & Systems 2025-08-20 Abdullah Tokmak , Thomas B. Schön , Dominik Baumann

We consider the problem of estimating the state of a noisy linear dynamical system when an unknown subset of sensors is arbitrarily corrupted by an adversary. We propose a secure state estimation algorithm, and derive (optimal) bounds on…

Optimization and Control · Mathematics 2016-11-17 Shaunak Mishra , Yasser Shoukry , Nikhil Karamchandani , Suhas Diggavi , Paulo Tabuada