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We explore the fundamental problem of sorting through the lens of learning-augmented algorithms, where algorithms can leverage possibly erroneous predictions to improve their efficiency. We consider two different settings: In the first…

Data Structures and Algorithms · Computer Science 2023-11-03 Xingjian Bai , Christian Coester

A common problem in machine learning is to rank a set of n items based on pairwise comparisons. Here ranking refers to partitioning the items into sets of pre-specified sizes according to their scores, which includes identification of the…

Machine Learning · Computer Science 2018-01-08 Reinhard Heckel , Max Simchowitz , Kannan Ramchandran , Martin J. Wainwright

Many state-of-the-art computer vision algorithms use large scale convolutional neural networks (CNNs) as basic building blocks. These CNNs are known for their huge number of parameters, high redundancy in weights, and tremendous computing…

Computer Vision and Pattern Recognition · Computer Science 2018-01-24 Qiangui Huang , Kevin Zhou , Suya You , Ulrich Neumann

The problem of ranking is a multi-billion dollar problem. In this paper we present an overview of several production quality ranking systems. We show that due to conflicting goals of employing the most effective machine learning models and…

Information Retrieval · Computer Science 2019-07-30 Murium Iqbal , Nishan Subedi , Kamelia Aryafar

Selection under category or diversity constraints is a ubiquitous and widely-applicable problem that is encountered in immigration, school choice, hiring, and healthcare rationing. These diversity constraints are typically represented by…

Computer Science and Game Theory · Computer Science 2023-02-21 Haris Aziz , Sean Morota Chu , Zhaohong Sun

Data pruning, selecting small but impactful subsets, offers a promising way to efficiently scale NLP model training. However, existing methods often involve many different design choices, which have not been systematically studied. This…

Computation and Language · Computer Science 2025-07-08 Yupei Du , Yingjin Song , Hugh Mee Wong , Daniil Ignatev , Albert Gatt , Dong Nguyen

The task of learning to pick a single preferred example out a finite set of examples, an "optimal choice problem", is a supervised machine learning problem with complex, structured input. Problems of optimal choice emerge often in various…

Artificial Intelligence · Computer Science 2017-07-07 Marina Sapir

In the online simple knapsack problem items are presented in an iterative fashion and an algorithm has to decide for each item whether to reject or permanently include it into the knapsack without any knowledge about the rest of the…

Data Structures and Algorithms · Computer Science 2022-02-07 Hans-Joachim Boeckenhauer , Elisabet Burjons , Fabian Frei , Juraj Hromkovic , Henri Lotze , Peter Rossmanith

Classic algorithms and machine learning systems like neural networks are both abundant in everyday life. While classic computer science algorithms are suitable for precise execution of exactly defined tasks such as finding the shortest path…

Machine Learning · Computer Science 2022-09-02 Felix Petersen

We prove new lower bounds for suitable competitive ratio measures of two relaxed online packing problems: online removable multiple knapsack, and a recently introduced online minimum peak appointment scheduling problem. The high level…

Data Structures and Algorithms · Computer Science 2022-01-19 János Balogh , György Dósa , Leah Epstein , Łukasz Jeż

In this paper we model the problem of learning preferences of a population as an active learning problem. We propose an algorithm can adaptively choose pairs of items to show to users coming from a heterogeneous population, and use the…

Machine Learning · Statistics 2016-06-23 Aniruddha Bhargava , Ravi Ganti , Robert Nowak

The talent scheduling problem is a simplified version of the real-world film shooting problem, which aims to determine a shooting sequence so as to minimize the total cost of the actors involved. In this article, we first formulate the…

Artificial Intelligence · Computer Science 2014-01-24 Zizhen Zhang , Hu Qin , Xiaocong Liang , Andrew Lim

The task of item recommendation is to select the best items for a user from a large catalogue of items. Item recommenders are commonly trained from implicit feedback which consists of past actions that are positive only. Core challenges of…

Information Retrieval · Computer Science 2021-01-22 Steffen Rendle

Consider an actor making selection decisions using a series of classifiers, which we term a sequential screening process. The early stages filter out some applicants, and in the final stage an expensive but accurate test is applied to the…

Machine Learning · Computer Science 2022-03-16 Avrim Blum , Kevin Stangl , Ali Vakilian

We consider a stochastic online problem where $n$ applicants arrive over time, one per time step. Upon arrival of each applicant their cost per time step is revealed, and we have to fix the duration of employment, starting immediately. This…

Data Structures and Algorithms · Computer Science 2017-05-31 Yann Disser , John Fearnley , Martin Gairing , Oliver Göbel , Max Klimm , Daniel Schmand , Alexander Skopalik , Andreas Tönnis

We consider a variant of the secretary problem in which the candidates state their expected salary at the interview, which we assume is in accordance with their qualifications. The goal is for the employer to hire the best or the worst…

Probability · Mathematics 2016-03-22 L. Bayon , J. Grau , A. M. Oller-Marcen , M. Ruiz , P. M. Suarez

In an online contract selection problem there is a seller which offers a set of contracts to sequentially arriving buyers whose types are drawn from an unknown distribution. If there exists a profitable contract for the buyer in the offered…

Machine Learning · Computer Science 2013-05-16 Cem Tekin , Mingyan Liu

The decision-maker (DM) sequentially evaluates up to N of different, rankable options. DM must select exactly the best one at the moment of its appearance. In the process of searching, DM finds out with each applicant whether she is the…

Optimization and Control · Mathematics 2022-05-23 Krzysztof J. Szajowski

Learning to rank -- producing a ranked list of items specific to a query and with respect to a set of supervisory items -- is a problem of general interest. The setting we consider is one in which no analytic description of what constitutes…

In many engineered systems, optimization is used for decision making at time-scales ranging from real-time operation to long-term planning. This process often involves solving similar optimization problems over and over again with slightly…

Optimization and Control · Mathematics 2019-01-18 Sidhant Misra , Line Roald , Yeesian Ng