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We present a survey of existing approaches to relational division in rank-aware databases, discuss issues of the present approaches, and outline generalizations of several types of classic division-like operations. We work in a model which…

Databases · Computer Science 2016-08-11 Ondrej Vaverka , Vilem Vychodil

We study influence of ordinal transformations on results of queries in rank-aware databases which derive their operations with ranked relations from totally ordered structures of scores with infima acting as aggregation functions. We…

Databases · Computer Science 2017-01-11 Vilem Vychodil

The relational data model requires a theory of relations in which tuples are not only many-sorted, but can also have indexes that are not necessarily numerical. In this paper we develop such a theory and define operations on relations that…

Databases · Computer Science 2012-02-08 Philip Kelly , M. H. van Emden

Different attribution scores have been proposed to quantify the relevance of database tuples for query answering in databases; e.g. Causal Responsibility, the Shapley Value, the Banzhaf Power-Index, and the Causal Effect. They have been…

Databases · Computer Science 2026-04-07 Felipe Azua , Leopoldo Bertossi

The logic of nulls in databases has been subject of investigation since their introduction in Codd's Relational Model, which is the foundation of the SQL standard. We show a logical characterisation of a first-order fragment of SQL with…

Databases · Computer Science 2022-02-23 Enrico Franconi , Sergio Tessaris

While the general task of textual sentiment classification has been widely studied, much less research looks specifically at sentiment between a specified source and target. To tackle this problem, we experimented with a state-of-the-art…

Computation and Language · Computer Science 2019-08-20 Ruiqi Zhong , Steven Shao , Kathleen McKeown

In this tutorial, we will survey known results on the complexity of conjunctive query evaluation in different settings, ranging from Boolean queries over counting to more complex models like enumeration and direct access. A particular focus…

Databases · Computer Science 2025-06-24 Stefan Mengel

Time is one of the most difficult aspects to handle in real world applications such as database systems. Relational database management systems proposed by Codd offer very little built-in query language support for temporal data management.…

Databases · Computer Science 2010-02-08 Nadeem Mahmood , Aqil Burney , Kamran Ahsan

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

Classification of ordinal data is one of the most important tasks of relation learning. In this thesis a novel framework for ordered classes is proposed. The technique reduces the problem of classifying ordered classes to the standard…

Artificial Intelligence · Computer Science 2007-05-23 Jaime S. Cardoso

Many machine learning tasks such as clustering, classification, and dataset search benefit from embedding data points in a space where distances reflect notions of relative similarity as perceived by humans. A common way to construct such…

Machine Learning · Statistics 2019-11-25 Gregory Canal , Stefano Fenu , Christopher Rozell

In-context learning has become a popular paradigm in natural language processing. However, its performance can be significantly influenced by the order of in-context demonstration examples. In this paper, we found that causal language…

Computation and Language · Computer Science 2024-06-07 Yanzheng Xiang , Hanqi Yan , Lin Gui , Yulan He

We study how large language models recall relational knowledge during text generation, with a focus on identifying latent representations suitable for relation classification via linear probes. Prior work shows how attention heads and MLPs…

Computation and Language · Computer Science 2026-04-24 Nicholas Popovič , Michael Färber

Rank-order relational data, in which each actor ranks the others according to some criterion, often arise from sociometric measurements of judgment (e.g., self-reported interpersonal interaction) or preference (e.g., relative liking). We…

Methodology · Statistics 2018-04-11 Pavel N. Krivitsky , Carter T. Butts

We study consistent query answering in relational databases. We consider an expressive class of schema constraints that generalizes both tuple-generating dependencies and equality-generating dependencies. We establish the complexity of…

Databases · Computer Science 2022-07-20 Lorenzo Marconi , Riccardo Rosati

Ordinal data analysis is an interesting direction in machine learning. It mainly deals with data for which only the relationships `$<$', `$=$', `$>$' between pairs of points are known. We do an attempt of formalizing structures behind…

General Topology · Mathematics 2024-12-24 Karsten Keller , Evgeniy Petrov

We develop a class of algebraic interpretations for many-sorted and higher-order term rewriting systems that takes type information into account. Specifically, base-type terms are mapped to \emph{tuples} of natural numbers and higher-order…

Symbolic Computation · Computer Science 2021-05-05 Deivid Vale , Cynthia Kop

Language model users often issue queries that lack specification, where the context under which a query was issued -- such as the user's identity, the query's intent, and the criteria for a response to be useful -- is not explicit. For…

Computation and Language · Computer Science 2025-05-27 Chaitanya Malaviya , Joseph Chee Chang , Dan Roth , Mohit Iyyer , Mark Yatskar , Kyle Lo

Causal understanding is essential for many kinds of decision-making, but causal inference from observational data has typically only been applied to structured, low-dimensional datasets. While text classifiers produce low-dimensional…

Computation and Language · Computer Science 2018-10-03 Zach Wood-Doughty , Ilya Shpitser , Mark Dredze

Relational reasoning is the ability to infer relations that jointly bind multiple entities, attributes, or variables. This ability is central to scientific reasoning, but existing evaluations of relational reasoning in large language models…

Artificial Intelligence · Computer Science 2026-04-15 Lukas Fesser , Yasha Ektefaie , Ada Fang , Sham M. Kakade , Marinka Zitnik
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