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Differential dependencies (DDs) capture the relationships between data columns of relations. They are more general than functional dependencies (FDs) and and the difference is that DDs are defined on the distances between values of two…

Databases · Computer Science 2013-09-17 Jixue Liu , Selasi Kwashie , Jiuyong Li , Feiyue Ye , Millist Vincent

Approximate functional dependencies (AFDs) relax exact functional dependencies by tolerating a bounded degree of violation, making them suited for data quality auditing. Threshold-based discovery returns all dependencies above a…

Databases · Computer Science 2026-05-26 Xiaolong Wan , Xixian Han

Primary key (PK) and foreign key (FK) constraints are widely used for query optimization. Knowledge about additional data dependencies, such as order dependencies, enables further substantial performance improvements. However, such…

Databases · Computer Science 2026-04-23 Daniel Lindner , Daniel Ritter , Felix Naumann

In this paper, we study the problem of discovering join FDs, i.e., functional dependencies (FDs) that hold on multiple joined tables. We leverage logical inference, selective mining, and sampling and show that we can discover most of the…

Databases · Computer Science 2020-12-14 Ugo Comignani , Laure Berti-Équille , Noël Novelli

Missing and incorrect values often cause serious consequences. To deal with these data quality problems, a class of common employed tools are dependency rules, such as Functional Dependencies (FDs), Conditional Functional Dependencies…

Databases · Computer Science 2017-10-10 Jizhou Sun , Jianzhong Li , Hong Gao

The automatic discovery of functional dependencies(FDs) has been widely studied as one of the hardest problems in data profiling. Existing approaches have focused on making the FD computation efficient while inspecting single relations at a…

Databases · Computer Science 2021-12-17 Ugo Comignani , Laure Berti-Équille , Noël Novelli , Angela Bonifati

Functional dependencies (FDs) are fundamental integrity constraints in relational databases, but discovering them under incremental updates remains challenging. While static algorithms are inefficient due to full re-execution, incremental…

Databases · Computer Science 2026-01-23 Yajuan Xu , Xixian Han , Xiaolong Wan

Multi-column dependencies in relational databases come associated with two different computational tasks. The detection problem is to decide whether a dependency of a certain type and size holds in a given database, the discovery problem…

Data Structures and Algorithms · Computer Science 2021-03-25 Thomas Bläsius , Tobias Friedrich , Martin Schirneck

We enhance constrained-based data quality with approximate band conditional order dependencies (abcODs). Band ODs model the semantics of attributes that are monotonically related with small variations without there being an intrinsic…

Databases · Computer Science 2020-03-02 Pei Li , Michael Bohlen , Jaroslaw Szlichta , Divesh Srivastava

The concept of matching dependencies (mds) is recently pro- posed for specifying matching rules for object identification. Similar to the functional dependencies (with conditions), mds can also be applied to various data quality…

Databases · Computer Science 2009-06-13 Shaoxu Song , Lei Chen

The problem of detecting and removing redundant constraints is fundamental in optimization. We focus on the case of linear programs (LPs) in dictionary form, given by $n$ equality constraints in $n+d$ variables, where the variables are…

Computational Geometry · Computer Science 2014-12-04 Komei Fukuda , Bernd Gärtner , May Szedlák

The reliable fraction of information is an attractive score for quantifying (functional) dependencies in high-dimensional data. In this paper, we systematically explore the algorithmic implications of using this measure for optimization. We…

Artificial Intelligence · Computer Science 2018-09-17 Panagiotis Mandros , Mario Boley , Jilles Vreeken

We investigate the complexity of computing an optimal repair of an inconsistent database, in the case where integrity constraints are Functional Dependencies (FDs). We focus on two types of repairs: an optimal subset repair (optimal…

Databases · Computer Science 2017-12-22 Ester Livshits , Benny Kimelfeld , Sudeepa Roy

The redundant features existing in high dimensional datasets always affect the performance of learning and mining algorithms. How to detect and remove them is an important research topic in machine learning and data mining research. In this…

Machine Learning · Computer Science 2017-07-04 Shuchu Han , Hao Huang , Hong Qin

We analyze the problem of discovering dependencies from distributed big data. Existing (non-distributed) algorithms focus on minimizing computation by pruning the search space of possible dependencies. However, distributed algorithms must…

Databases · Computer Science 2019-03-14 Hemant Saxena , Lukasz Golab , Ihab F. Ilyas

Integrity constraints (ICs) provide a valuable tool for expressing and enforcing application semantics. However, formulating constraints manually requires domain expertise, is prone to human errors, and may be excessively time consuming,…

Databases · Computer Science 2016-08-24 Jaroslaw Szlichta , Parke Godfrey , Lukasz Golab , Mehdi Kargar , Divesh Srivastava

Reasoning tasks are crucial in many domains, especially in science and engineering. Although large language models (LLMs) have made progress in reasoning tasks using techniques such as chain-of-thought and least-to-most prompting, these…

Artificial Intelligence · Computer Science 2025-05-06 Sergio Hernández-Gutiérrez , Minttu Alakuijala , Alexander V. Nikitin , Pekka Marttinen

Functional dependencies (FDs) specify the intended data semantics while violations of FDs indicate deviation from these semantics. In this paper, we study a data cleaning problem in which the FDs may not be completely correct, e.g., due to…

Databases · Computer Science 2012-07-25 George Beskales , Ihab F. Ilyas , Lukasz Golab , Artur Galiullin

A number of extensions to the classical notion of functional dependencies have been proposed to express and enforce application semantics. One of these extensions is that of order dependencies (ODs), which express rules involving order. The…

Databases · Computer Science 2019-05-07 Parke Godfrey , Lukasz Golab , Mehdi Kargar , Divesh Srivastava , Jaroslaw Szlichta

Search efficiency and serving efficiency are two major axes in building feature interactions and expediting the model development process in recommender systems. On large-scale benchmarks, searching for the optimal feature interaction…

Information Retrieval · Computer Science 2025-03-26 Tunhou Zhang , Wei Wen , Igor Fedorov , Xi Liu , Buyun Zhang , Fangqiu Han , Wen-Yen Chen , Yiping Han , Feng Yan , Hai Li , Yiran Chen
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