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Dependencies have played a significant role in database design for many years. They have also been shown to be useful in query optimization. In this paper, we discuss dependencies between lexicographically ordered sets of tuples. We…

Databases · Computer Science 2012-08-02 Jaroslaw Szlichta , Parke Godfrey , Jarek Gryz

According to the probability ranking principle, the document set with the highest values of probability of relevance optimizes information retrieval effectiveness given the probabilities are estimated as accurately as possible. The key…

Information Retrieval · Computer Science 2011-08-30 Massimo Melucci

In this paper we study the effect on crowd worker efficiency and effectiveness of the dominance of one class in the data they process. We aim at understanding if there is any positive or negative bias in workers seeing many negative…

Information Retrieval · Computer Science 2016-09-09 Rehab K. Qarout , Alessandro Checco , Gianluca Demartini

In many situations people make sequences of similar, but unrelated decisions. Such decision sequences are prevalent in many important contexts including judicial judgments, loan approvals, college admissions, and athletic competitions. A…

General Economics · Economics 2024-08-13 Katja Bergonzoli , Laurent Bieri , Dominic Rohner , Christian Zehnder

Many theorems of mathematics have the form that for a certain problem, e.g. a differential equation or polynomial (in)equality, there exists a solution. The sequential version then states that for a sequence of problems, there is a sequence…

Logic · Mathematics 2024-03-21 Dag Normann , Sam Sanders

The ability to generate multiple plans is central to using planning in real-life applications. Top-quality planners generate sets of such top-cost plans, allowing flexibility in determining equivalent ones. In terms of the order between…

Artificial Intelligence · Computer Science 2024-04-03 Michael Katz , Junkyu Lee , Jungkoo Kang , Shirin Sohrabi

This paper examines common assumptions regarding the decision-making internal environment for intelligent agents and investigates issues related to processing of memory and belief states to help obtain better understanding of the responses.…

Artificial Intelligence · Computer Science 2018-04-10 Subhash Kak

We analyze the quantum query complexity of sorting under partial information. In this problem, we are given a partially ordered set $P$ and are asked to identify a linear extension of $P$ using pairwise comparisons. For the standard sorting…

Computational Complexity · Computer Science 2019-02-19 Jean Cardinal , Gwenaël Joret , Jérémie Roland

The widespread use of machine learning has raised the question of quantum supremacy for supervised learning as compared to quantum computational advantage. In fact, a recent work shows that computational and learning advantage are, in…

Quantum Physics · Physics 2023-07-04 Jordi Pérez-Guijarro , Alba Pagès-Zamora , Javier R. Fonollosa

There are two major approaches to building good machine learning algorithms: feeding lots of data into large models, or picking a model class with an ''inductive bias'' that suits the structure of the data. When taking the second approach…

Quantum Physics · Physics 2023-12-08 Kaitlin Gili , Guillermo Alonso , Maria Schuld

We introduce ordinal collapsing principles that are inspired by proof theory but have a set theoretic flavor. These principles are shown to be equivalent to iterated $\Pi^1_1$-comprehension and the existence of admissible sets, over weak…

Logic · Mathematics 2021-12-16 Anton Freund , Michael Rathjen

Very large commonsense knowledge bases (KBs) often have thousands to millions of axioms, of which relatively few are relevant for answering any given query. A large number of irrelevant axioms can easily overwhelm resolution-based theorem…

Artificial Intelligence · Computer Science 2016-03-15 Abhishek Sharma , Michael Witbrock , Keith Goolsbey

Prior work on generating explanations in a planning and decision-making context has focused on providing the rationale behind an AI agent's decision making. While these methods provide the right explanations from the explainer's…

Artificial Intelligence · Computer Science 2020-10-20 Mehrdad Zakershahrak , Shashank Rao Marpally , Akshay Sharma , Ze Gong , Yu Zhang

In most social choice settings, the participating agents express their preferences over the different alternatives in the form of linear orderings. While this clearly simplifies preference elicitation, it inevitably leads to poor…

Computer Science and Game Theory · Computer Science 2022-10-05 Georgios Amanatidis , Georgios Birmpas , Aris Filos-Ratsikas , Alexandros A. Voudouris

Algorithmic fairness in decision-making has been studied extensively in static settings where one-shot decisions are made on tasks such as classification. However, in practice most decision-making processes are of a sequential nature, where…

Artificial Intelligence · Computer Science 2020-01-15 Xueru Zhang , Mingyan Liu

We study quantum algorithms that learn properties of a matrix using queries that return its action on an input vector. We show that for various problems, including computing the trace, determinant, or rank of a matrix or solving a linear…

Quantum Physics · Physics 2021-10-19 Andrew M. Childs , Shih-Han Hung , Tongyang Li

There are many applications in which it is desirable to order rather than classify instances. Here we consider the problem of learning how to order instances given feedback in the form of preference judgments, i.e., statements to the effect…

Machine Learning · Computer Science 2011-05-30 W. W. Cohen , R. E. Schapire , Y. Singer

Computational models typically assume that operations are applied in a fixed sequential order. In recent years several works have looked at relaxing this assumption, considering computations without any fixed causal structure and showing…

Quantum Physics · Physics 2025-08-21 Alastair A. Abbott , Mehdi Mhalla , Pierre Pocreau

Seeking the largest solution to an expression of the form A x <= B is a common task in several domains of engineering and computer science. This largest solution is commonly called quotient. Across domains, the meanings of the binary…

Discrete Mathematics · Computer Science 2020-09-24 Íñigo X. Íncer Romeo , Leonardo Mangeruca , Tiziano Villa , Alberto Sangiovanni-Vincentelli

The fundamental question considered in algorithms on strings is that of indexing, that is, preprocessing a given string for specific queries. By now we have a number of efficient solutions for this problem when the queries ask for an exact…

Data Structures and Algorithms · Computer Science 2023-04-04 Paweł Gawrychowski , Garance Gourdel , Tatiana Starikovskaya , Teresa Anna Steiner