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This paper studies the online stochastic resource allocation problem (RAP) with chance constraints and conditional expectation constraints. The online RAP is an integer linear programming problem where resource consumption coefficients are…

Optimization and Control · Mathematics 2022-04-01 Yuwei Chen , Zengde Deng , Zaiyi Chen , Yinzhi Zhou , Yujie Chen , Haoyuan Hu

Online optimization has gained increasing interest due to its capability of tracking real-world streaming data. Although online optimization methods have been widely studied in the setting of frequentist statistics, few works have…

Machine Learning · Computer Science 2023-03-01 Yifan Yang , Chang Liu , Zheng Zhang

Convex regression (CR) is the problem of fitting a convex function to a finite number of noisy observations of an underlying convex function. CR is important in many domains and one of its workhorses is the non-parametric least square…

Information Theory · Computer Science 2020-03-03 Andrea Simonetto

Loss functions like Categorical Cross Entropy (CCE), Binary Cross Entropy (BCE), and Bayesian Personalized Ranking (BPR) are commonly used in training Recommender Systems (RSs) to differentiate positive items - those interacted with by…

Information Retrieval · Computer Science 2025-04-22 Giulia Di Teodoro , Federico Siciliano , Nicola Tonellotto , Fabrizio Silvestri

Motivated by sequential budgeted allocation problems, we investigate online matching problems where connections between vertices are not i.i.d., but they have fixed degree distributions -- the so-called configuration model. We estimate the…

Data Structures and Algorithms · Computer Science 2021-07-05 Nathan Noiry , Flore Sentenac , Vianney Perchet

Background and Objective: Processing electrophysiological signals often requires blind source separation (BSS) due to the nature of mixing source signals. However, its complex computational demands make real-time BSS challenging. The…

Human-Computer Interaction · Computer Science 2024-11-28 Yao Li , Haowen Zhao , Yunfei Liu , Xu Zhang

Constrained optimization provides a common framework for dealing with conflicting objectives in reinforcement learning (RL). In most of these settings, the objectives (and constraints) are expressed though the expected accumulated reward.…

Machine Learning · Computer Science 2025-12-03 Jane H. Lee , Baturay Saglam , Spyridon Pougkakiotis , Amin Karbasi , Dionysis Kalogerias

We consider prophet inequalities under downward-closed constraints. In this problem, a decision-maker makes immediate and irrevocable choices on arriving elements, subject to constraints. Traditionally, performance is compared to the…

Computer Science and Game Theory · Computer Science 2023-10-10 Tomer Ezra , Stefano Leonardi , Rebecca Reiffenhäuser , Matteo Russo , Alexandros Tsigonias-Dimitriadis

We investigate robustness to strong data corruption in offline sparse reinforcement learning (RL). In our setting, an adversary may arbitrarily perturb a fraction of the collected trajectories from a high-dimensional but sparse Markov…

Machine Learning · Statistics 2026-05-13 Nam Phuong Tran , Andi Nika , Goran Radanovic , Long Tran-Thanh , Debmalya Mandal

A key problem in constrained random verification (CRV) concerns generation of input stimuli that result in good coverage of the system's runs in targeted corners of its behavior space. Existing CRV solutions however provide no formal…

Logic in Computer Science · Computer Science 2020-08-18 Supratik Chakraborty , Aditya A. Shrotri , Moshe Y. Vardi

We consider the classical online bipartite matching problem in the probe-commit model. In this problem, when an online vertex arrives, its edges must be probed to determine if they exist, based on known edge probabilities. A probing…

Data Structures and Algorithms · Computer Science 2024-12-16 Allan Borodin , Calum MacRury

We introduce algorithms for online, full-information prediction that are competitive with contextual tree experts of unknown complexity, in both probabilistic and adversarial settings. We show that by incorporating a probabilistic framework…

Machine Learning · Computer Science 2018-05-23 Vidya Muthukumar , Mitas Ray , Anant Sahai , Peter L. Bartlett

We study the problem of online convex optimization (OCO) under unknown linear constraints that are either static, or stochastically time-varying. For this problem, we introduce an algorithm that we term Optimistically Safe OCO (OSOCO) and…

Machine Learning · Computer Science 2025-07-16 Spencer Hutchinson , Tianyi Chen , Mahnoosh Alizadeh

Optimal prediction (OP) methods compensate for a lack of resolution in the numerical solution of complex problems through the use of an invariant measure as a prior measure in the Bayesian sense. In first-order OP, unresolved information is…

Numerical Analysis · Mathematics 2025-10-20 John Bell , Alexandre J. Chorin , William Crutchfield

The digitization of scanned forms and documents is changing the data sources that enterprises manage. To integrate these new data sources with enterprise data, the current state-of-the-art approach is to convert the images to ASCII text…

Databases · Computer Science 2012-01-09 Arun Kumar , Christopher Ré

We revisit the classical problem of Bayesian ensembles and address the challenge of learning optimal combinations of Bayesian models in an online, continual learning setting. To this end, we reinterpret existing approaches such as Bayesian…

Machine Learning · Computer Science 2026-01-26 Daniel Waxman , Fernando Llorente , Petar M. Djurić

We study the power of multiple choices in online stochastic matching. Despite a long line of research, existing algorithms still only consider two choices of offline neighbors for each online vertex because of the technical challenge in…

Data Structures and Algorithms · Computer Science 2022-03-08 Zhiyi Huang , Xinkai Shu , Shuyi Yan

Randomized rounding is a technique that was originally used to approximate hard offline discrete optimization problems from a mathematical programming relaxation. Since then it has also been used to approximately solve sequential stochastic…

Data Structures and Algorithms · Computer Science 2024-11-21 Will Ma

Recently, an alternative measure of uncertainty called cumulative residual extropy (CREX) was proposed by Jahanshahi et al. (2019). In this paper, we consider uncertainty measures of minimum ranked set sampling procedure with unequal…

Statistics Theory · Mathematics 2020-08-21 Mohammad Reza Kazemia , Saeid Tahmasebib , Camilla Calì , Maria Longobardi

We initiate the study of stochastic optimization with oblivious noise, broadly generalizing the standard heavy-tailed noise setup. In our setting, in addition to random observation noise, the stochastic gradient may be subject to…

Data Structures and Algorithms · Computer Science 2024-08-06 Ilias Diakonikolas , Sushrut Karmalkar , Jongho Park , Christos Tzamos
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