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In risk theory, financial asset returns often follow heavy-tailed distributions. Investors and risk managers used to compare risk measures as the value at risk or tail value at risk in order over the whole confidence levels to avoid the…

Statistics Theory · Mathematics 2024-12-12 Alfonso J. Bello , Julio Mulero , Miguel A. Sordo , Alfonso Suárez-Llorens

This paper examines whether widely used online learning algorithms in pricing can independently reach competitive outcomes or instead foster tacit collusion. This issue has drawn considerable attention from competition regulators as…

Computer Science and Game Theory · Computer Science 2025-11-25 Martin Bichler , Julius Durmann , Matthias Oberlechner

In online learning from non-stationary data streams, it is necessary to learn robustly to outliers and to adapt quickly to changes in the underlying data generating mechanism. In this paper, we refer to the former attribute of online…

Machine Learning · Statistics 2021-09-29 Shintaro Fukushima , Atsushi Nitanda , Kenji Yamanishi

This paper studies distributed online convex optimization with time-varying coupled constraints, motivated by distributed online control in network systems. Most prior work assumes a separability condition: the global objective and coupled…

Optimization and Control · Mathematics 2026-02-18 Zhaoye Pan , Haozhe Lei , Fan Zuo , Zilin Bian , Tao Li

For online resource allocation problems, we propose a new demand arrival model where the sequence of arrivals contains both an adversarial component and a stochastic one. Our model requires no demand forecasting; however, due to the…

Data Structures and Algorithms · Computer Science 2018-10-02 Dawsen Hwang , Patrick Jaillet , Vahideh Manshadi

Heavy-tailed impact distributions, intrinsic uncertainty, and the high costs of proposal-based peer review increasingly challenge research funding decisions. Using large-scale bibliometric data, we show that past scientific performance…

Applications · Statistics 2026-04-28 Carlos Oscar S. Sorzano , B. Pueche-Granados

Cost-Sensitive Online Classification has drawn extensive attention in recent years, where the main approach is to directly online optimize two well-known cost-sensitive metrics: (i) weighted sum of sensitivity and specificity; (ii) weighted…

Machine Learning · Computer Science 2019-11-19 Peilin Zhao , Yifan Zhang , Min Wu , Steven C. H. Hoi , Mingkui Tan , Junzhou Huang

We study the relationship between the competitive ratio and the tail distribution of randomized online minimization problems. To this end, we define a broad class of online problems that includes some of the well-studied problems like…

Data Structures and Algorithms · Computer Science 2013-02-15 Dennis Komm , Rastislav Královič , Richard Královič , Tobias Mömke

This paper studies the online stochastic resource allocation problem (RAP) with chance constraints. The online RAP is a 0-1 integer linear programming problem where the resource consumption coefficients are revealed column by column along…

Optimization and Control · Mathematics 2023-03-07 Yuwei Chen , Zengde Deng , Yinzhi Zhou , Zaiyi Chen , Yujie Chen , Haoyuan Hu

Expected risk minimization (ERM) is at the core of many machine learning systems. This means that the risk inherent in a loss distribution is summarized using a single number - its average. In this paper, we propose a general approach to…

Machine Learning · Computer Science 2023-01-24 Christian Fröhlich , Robert C. Williamson

Motivated by the prominence of Conditional Value-at-Risk (CVaR) as a measure for tail risk in settings affected by uncertainty, we develop a new formula for approximating CVaR based optimization objectives and their gradients from limited…

Methodology · Statistics 2020-08-25 Anand Deo , Karthyek Murthy

The classical ski-rental problem admits a textbook 2-competitive deterministic algorithm, and a simple randomized algorithm that is $\frac{e}{e-1}$-competitive in expectation. The randomized algorithm, while optimal in expectation, has a…

Data Structures and Algorithms · Computer Science 2023-08-10 Michael Dinitz , Sungjin Im , Thomas Lavastida , Benjamin Moseley , Sergei Vassilvitskii

In many online sequential decision-making scenarios, a learner's choices affect not just their current costs but also the future ones. In this work, we look at one particular case of such a situation where the costs depend on the time…

Machine Learning · Computer Science 2023-12-12 Vijeth Hebbar , Cedric Langbort

We consider the problem of risk diversification of $\alpha$-stable heavy tailed risks. We study the behaviour of the aggregated Value-at-Risk, with particular reference to the impact of different tail dependence structures on the limits to…

Risk Management · Quantitative Finance 2017-04-25 Umberto Cherubini , Paolo Neri

Safe navigation for mobile robots demands policies that remain reliable under the high-consequence perception uncertainty of cluttered environments. Yet most existing safe reinforcement learning (RL) methods assess safety through average…

Robotics · Computer Science 2026-05-15 Qisong He , Xinmiao Huang , Jinwei Hu , Zhuoyun Li , Yi Dong , Changshun Wu , Xiaowei Huang

We consider the problem of online allocation subject to a long-term fairness penalty. Contrary to existing works, however, we do not assume that the decision-maker observes the protected attributes -- which is often unrealistic in practice.…

Machine Learning · Computer Science 2023-12-05 Mathieu Molina , Nicolas Gast , Patrick Loiseau , Vianney Perchet

In this paper we propose a problem-driven scenario generation approach to the single-period portfolio selection problem which use tail risk measures such as conditional value-at-risk. Tail risk measures are useful for quantifying potential…

Risk Management · Quantitative Finance 2019-11-14 Jamie Fairbrother , Amanda Turner , Stein Wallace

Resource allocation in distributed and networked systems such as the Cloud is becoming increasingly flexible, allowing these systems to dynamically adjust toward the workloads they serve, in a demand-aware manner. Online balanced…

Data Structures and Algorithms · Computer Science 2024-10-24 Harald Räcke , Stefan Schmid , Ruslan Zabrodin

Recent financial disasters emphasised the need to investigate the consequence associated with the tail co-movements among institutions; episodes of contagion are frequently observed and increase the probability of large losses affecting…

Methodology · Statistics 2013-11-05 Mauro Bernardi , Ghislaine Gayraud , Lea Petrella

Insurance data can be asymmetric with heavy tails, causing inadequate adjustments of the usually applied models. To deal with this issue, hierarchical models for collective risk with heavy-tails of the claims distributions that take also…

Applications · Statistics 2021-01-26 Pamela M. Chiroque-Solano , Fernando A. S. Moura