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We consider the task of heavy-tailed statistical estimation given streaming $p$-dimensional samples. This could also be viewed as stochastic optimization under heavy-tailed distributions, with an additional $O(p)$ space complexity…

Machine Learning · Computer Science 2022-02-28 Che-Ping Tsai , Adarsh Prasad , Sivaraman Balakrishnan , Pradeep Ravikumar

Allocation of scarce resources is a recurring challenge for the public sector: something that emerges in areas as diverse as healthcare, disaster recovery, and social welfare. The complexity of these policy domains and the need for meeting…

Computers and Society · Computer Science 2023-10-11 Saba Esnaashari , Jonathan Bright , John Francis , Youmna Hashem , Vincent Straub , Deborah Morgan

Heavy-tailed metrics are common and often critical to product evaluation in the online world. While we may have samples large enough for Central Limit Theorem to kick in, experimentation is challenging due to the wide confidence interval of…

Applications · Statistics 2019-05-23 Jason , Wang , Pauline Burke

A general theory of stochastic decision forests is developed to bridge two concepts of information flow: decision trees and refined partitions on the one side, filtrations from probability theory on the other. Instead of the traditional…

Theoretical Economics · Economics 2024-11-12 E. Emanuel Rapsch

We study fair allocation of constrained resources, where a market designer optimizes overall welfare while maintaining group fairness. In many large-scale settings, utilities are not known in advance, but are instead observed after…

Computer Science and Game Theory · Computer Science 2024-11-06 Elita Lobo , Justin Payan , Cyrus Cousins , Yair Zick

We develop an econometric framework integrating heavy-tailed Student's $t$ distributions with behavioral probability weighting while preserving infinite divisibility. Using 432{,}752 observations across 86 assets (2004--2024), we…

Mathematical Finance · Quantitative Finance 2025-11-21 Akash Deep , Svetlozar T. Rachev , Frank J. Fabozzi

Despite the successes of probabilistic models based on passing noise through neural networks, recent work has identified that such methods often fail to capture tail behavior accurately, unless the tails of the base distribution are…

Machine Learning · Statistics 2023-06-16 Feynman Liang , Liam Hodgkinson , Michael W. Mahoney

In the fields of finance, engineering and sciences data mining/ machine learning has held an eminent position in predictive analysis. Complex algorithms and adaptive decision models have contributed towards streamlining research as well as…

Information Theory · Computer Science 2012-07-03 Indraneel Dabhade

Using results from neurobiology on perceptual decision making and value-based decision making, the problem of decision making between lotteries is reformulated in an abstract space where uncertain prospects are mapped to corresponding…

Neurons and Cognition · Quantitative Biology 2020-01-03 Adnan Rebei

Datasets can be biased due to societal inequities, human biases, under-representation of minorities, etc. Our goal is to certify that models produced by a learning algorithm are pointwise-robust to potential dataset biases. This is a…

Machine Learning · Computer Science 2021-10-12 Anna P. Meyer , Aws Albarghouthi , Loris D'Antoni

We focus on parameterized policy search for reinforcement learning over continuous action spaces. Typically, one assumes the score function associated with a policy is bounded, which fails to hold even for Gaussian policies. To properly…

Machine Learning · Computer Science 2022-02-01 Amrit Singh Bedi , Souradip Chakraborty , Anjaly Parayil , Brian Sadler , Pratap Tokekar , Alec Koppel

Predictive algorithms inform consequential decisions in settings with selective labels: outcomes are observed only for units selected by past decision makers. This creates an identification problem under unobserved confounding -- when…

Econometrics · Economics 2025-11-07 Ashesh Rambachan , Amanda Coston , Edward Kennedy

Implicit feedback (e.g., clicks, dwell times, etc.) is an abundant source of data in human-interactive systems. While implicit feedback has many advantages (e.g., it is inexpensive to collect, user centric, and timely), its inherent biases…

Information Retrieval · Computer Science 2016-08-17 Thorsten Joachims , Adith Swaminathan , Tobias Schnabel

This paper overviews the economics of scientific grants, focusing on the interplay between the inherent uncertainty in research, researchers' incentives, and grant design. Grants differ from traditional market systems and other science and…

General Economics · Economics 2024-10-17 Christoph Carnehl , Marco Ottaviani , Justus Preusser

Many decision-making processes involve evaluating and then selecting items; examples include scientific peer review, job hiring, school admissions, and investment decisions. The eventual selection is performed by applying rules or…

Computer Science and Game Theory · Computer Science 2025-10-23 Alexander Goldberg , Giulia Fanti , Nihar B. Shah

Evolutionary algorithms have been widely used for a range of stochastic optimization problems in order to address complex real-world optimization problems. We consider the knapsack problem where the profits involve uncertainties. Such a…

Neural and Evolutionary Computing · Computer Science 2022-04-13 Aneta Neumann , Yue Xie , Frank Neumann

We study a multi-objective model on the allocation of reusable resources under model uncertainty. Heterogeneous customers arrive sequentially according to a latent stochastic process, request for certain amounts of resources, and occupy…

Optimization and Control · Mathematics 2023-08-02 Xilin Zhang , Wang Chi Cheung

While ancient scientists often had patrons to fund their work, peer review of proposals for the allocation of resources is a foundation of modern science. A very common method is that proposals are evaluated by a small panel of experts (due…

Instrumentation and Methods for Astrophysics · Physics 2020-04-10 Wolfgang E. Kerzendorf , Ferdinando Patat , Dominic Bordelon , Glenn van de Ven , Tyler A. Pritchard

We propose a stochastic process driven by memory effect with novel distributions including both exponential and leptokurtic heavy-tailed distributions. A class of distribution is analytically derived from the continuum limit of the discrete…

Statistical Finance · Quantitative Finance 2013-05-14 Jongwook Kim , Gabjin Oh

Motivated by programmatic advertising optimization, we consider the task of sequentially allocating budget across a set of resources. At every time step, a feasible allocation is chosen and only a corresponding random return is observed.…

Artificial Intelligence · Computer Science 2024-10-02 Juliette Achddou , Olivier Cappe , Aurélien Garivier