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Gaussian Process (GP) models provide a flexible framework for prediction and uncertainty quantification. For most covariance functions, however, exact GP prediction with $n$ points scales as $\mathcal{O}(n^3)$, making it prohibitively…

Computation · Statistics 2026-05-29 Samanyu Arora , Christopher J. Geoga

This paper studies the evaluation of policies that recommend an ordered set of items (e.g., a ranking) based on some context---a common scenario in web search, ads, and recommendation. We build on techniques from combinatorial bandits to…

Machine Learning · Computer Science 2017-11-08 Adith Swaminathan , Akshay Krishnamurthy , Alekh Agarwal , Miroslav Dudík , John Langford , Damien Jose , Imed Zitouni

A new class of general exponential ranking models is introduced which we label angle-based models for ranking data. A consensus score vector is assumed, which assigns scores to a set of items, where the scores reflect a consensus view of…

Methodology · Statistics 2017-12-27 Hang Xu , Mayer Alvo , Philip L. H. Yu

Rank estimation is a classical model order selection problem that arises in a variety of important statistical signal and array processing systems, yet is addressed relatively infrequently in the extant literature. Here we present sample…

Methodology · Statistics 2011-08-25 Patrick O. Perry , Patrick J. Wolfe

Pandora's Box is a fundamental stochastic optimization problem, where the decision-maker must find a good alternative while minimizing the search cost of exploring the value of each alternative. In the original formulation, it is assumed…

This paper presents a new variable selection approach integrated with Gaussian process (GP) regression. We consider a sparse projection of input variables and a general stationary covariance model that depends on the Euclidean distance…

Machine Learning · Computer Science 2020-08-26 Chiwoo Park , David J. Borth , Nicholas S. Wilson , Chad N. Hunter

Conditional Density Estimation (CDE) models deal with estimating conditional distributions. The conditions imposed on the distribution are the inputs of the model. CDE is a challenging task as there is a fundamental trade-off between model…

Machine Learning · Statistics 2018-10-31 Vincent Dutordoir , Hugh Salimbeni , Marc Deisenroth , James Hensman

We introduce a scalable Bayesian preference learning method for identifying convincing arguments in the absence of gold-standard rat- ings or rankings. In contrast to previous work, we avoid the need for separate methods to perform quality…

Computation and Language · Computer Science 2018-06-08 Edwin Simpson , Iryna Gurevych

Current causal discovery approaches require restrictive model assumptions in the absence of interventional data to ensure structure identifiability. These assumptions often do not hold in real-world applications leading to a loss of…

Machine Learning · Statistics 2025-06-25 Anish Dhir , Ruby Sedgwick , Avinash Kori , Ben Glocker , Mark van der Wilk

Answer sentence selection (AS2) in open-domain question answering finds answer for a question by ranking candidate sentences extracted from web documents. Recent work exploits answer context, i.e., sentences around a candidate, by…

Computation and Language · Computer Science 2023-06-06 Minh Van Nguyen , Kishan KC , Toan Nguyen , Thien Huu Nguyen , Ankit Chadha , Thuy Vu

In many bandit problems, the maximal reward achievable by a policy is often unknown in advance. We consider the problem of estimating the optimal policy value in the sublinear data regime before the optimal policy is even learnable. We…

Machine Learning · Computer Science 2023-02-21 Jonathan N. Lee , Weihao Kong , Aldo Pacchiano , Vidya Muthukumar , Emma Brunskill

Simulation-based ranking and selection (R&S) is a popular technique for optimizing discrete-event systems (DESs). It evaluates the mean performance of system designs by simulation outputs and aims to identify the best system design from a…

Optimization and Control · Mathematics 2025-04-14 Zirui Cao , Haowei Wang , Ek Peng Chew , Haobin Li , Kok Choon Tan

We study the problem of contextual combinatorial semi-bandits, where input contexts are mapped into subsets of size $m$ of a collection of $K$ possible actions. In each round, the learner observes the realized reward of the predicted…

Machine Learning · Computer Science 2026-02-24 Liad Erez , Tomer Koren

In this work, we adapt the rank aggregation framework for the discovery of optimal course sequences at the university level. Each student provides a partial ranking of the courses taken throughout his or her undergraduate career. We compute…

Machine Learning · Computer Science 2016-03-10 Mihai Cucuringu , Charlie Marshak , Dillon Montag , Puck Rombach

In this paper we develop a unified approach for solving a wide class of sequential selection problems. This class includes, but is not limited to, selection problems with no-information, rank-dependent rewards, and considers both fixed as…

Probability · Mathematics 2020-01-27 Alexander Goldenshluger , Yaakov Malinovsky , Assaf Zeevi

Context-aware recommender systems (CARS) have gained increasing attention due to their ability to utilize contextual information. Compared to traditional recommender systems, CARS are, in general, able to generate more accurate…

Machine Learning · Computer Science 2019-12-23 Wei Huang , Richard Yi Da Xu

Thompson sampling (TS) is a simple, effective stochastic policy in Bayesian decision making. It samples the posterior belief about the reward profile and optimizes the sample to obtain a candidate decision. In continuous optimization, the…

Machine Learning · Computer Science 2024-10-11 Taiwo A. Adebiyi , Bach Do , Ruda Zhang

Ranking and selection (R&S) aims to identify the alternative with the best mean performance among $k$ simulated alternatives. The practical value of R&S depends on accurate simulation input modeling, which often suffers from the curse of…

Machine Learning · Statistics 2025-09-09 Zaile Li , Yuchen Wan , L. Jeff Hong

We study ``selective'' or ``conditional'' classification problems under an agnostic setting. Classification tasks commonly focus on modeling the relationship between features and categories that captures the vast majority of data. In…

Machine Learning · Computer Science 2025-02-04 Jizhou Huang , Brendan Juba

For autonomous agents to successfully operate in the real world, anticipation of future events and states of their environment is a key competence. This problem has been formalized as a sequence extrapolation problem, where a number of…

Machine Learning · Computer Science 2018-10-16 Apratim Bhattacharyya , Bernt Schiele , Mario Fritz
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