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Category theory unifies mathematical concepts, aiding comparisons across structures by incorporating objects and morphisms, which capture their interactions. It has influenced areas of computer science such as automata theory, functional…

Category Theory · Mathematics 2024-02-09 Nima Rasekh , Niels van der Weide , Benedikt Ahrens , Paige Randall North

Inclusion dependencies form one of the most widely used dependency classes. We extend existing results on the axiomatization and computational complexity of their implication problem to two extended variants. We present an alternative…

Logic in Computer Science · Computer Science 2025-05-27 Matilda Häggblom

Attribution methods shed light on the explainability of data-driven approaches such as deep learning models by uncovering the most influential features in a to-be-explained decision. While determining feature attributions via gradients…

Machine Learning · Computer Science 2024-05-15 Yi Cai , Gerhard Wunder

Trustworthiness especially for service oriented system is very important topic now a day in IT field of the whole world. Certain Trust Model depends on some certain values given by experts and developers. Here, main parameters for…

Cryptography and Security · Computer Science 2013-03-05 Kawser Wazed Nafi , Tonny Shekha kar , Amjad Hossain , M. M. A Hashem

Knowledge of the association information between the attributes in a data set provides insight into the underlying structure of the data and explains the relationships (independence, synergy, redundancy) between the attributes and class (if…

Databases · Computer Science 2012-08-21 Pritam Chanda , Aidong Zhang , Murali Ramanathan

Fine-grained categories that largely share the same set of parts cannot be discriminated based on part information alone, as they mostly differ in the way the local parts relate to the overall global structure of the object. We propose…

Computer Vision and Pattern Recognition · Computer Science 2022-10-06 Abhra Chaudhuri , Massimiliano Mancini , Zeynep Akata , Anjan Dutta

Recent research in feature learning has been extended to sequence data, where each instance consists of a sequence of heterogeneous items with a variable length. However, in many real-world applications, the data exists in the form of…

Machine Learning · Computer Science 2022-01-25 Zhongfang Zhuang

This work addresses testing the independence of two continuous and finite-dimensional random variables from the design of a data-driven partition. The empirical log-likelihood statistic is adopted to approximate the sufficient statistics of…

Machine Learning · Statistics 2022-01-19 Mauricio E. Gonzalez , Jorge F. Silva , Miguel Videla , Marcos E. Orchard

We introduce the concepts of dependence and independence in a very general framework. We use a concept of rank to study dependence and independence. By means of the rank we identify (total) dependence with inability to create more…

Logic in Computer Science · Computer Science 2021-09-27 Pietro Galliani , Jouko Väänänen

Partial correlations quantify linear association between two variables adjusting for the influence of the remaining variables. They form the backbone for graphical models and are readily obtained from the inverse of the covariance matrix.…

Methodology · Statistics 2019-04-23 Ionas Erb

Much recent work in NLP has documented dataset artifacts, bias, and spurious correlations between input features and output labels. However, how to tell which features have "spurious" instead of legitimate correlations is typically left…

Computation and Language · Computer Science 2021-12-30 Matt Gardner , William Merrill , Jesse Dodge , Matthew E. Peters , Alexis Ross , Sameer Singh , Noah A. Smith

Reciprocity characterizes the information exchange between users in a network, and some empirical studies have revealed that social networks have a high proportion of reciprocal edges. Classical directed preferential attachment (PA) models,…

Physics and Society · Physics 2021-08-10 Tiandong Wang , Sidney I. Resnick

In recent years, the logic of questions and dependencies has been investigated in the closely related frameworks of inquisitive logic and dependence logic. These investigations have assumed classical logic as the background logic of…

Logic · Mathematics 2020-11-11 Ivano Ciardelli , Rosalie Iemhoff , Fan Yang

Our goal is to show that the standard model-theoretic concept of types can be applied in the study of order-invariant properties, i.e., properties definable in a logic in the presence of an auxiliary order relation, but not actually…

Logic in Computer Science · Computer Science 2017-01-11 Pablo Barcelo , Leonid Libkin

One of the main challenges in the area of Neuro-Symbolic AI is to perform logical reasoning in the presence of both neural and symbolic data. This requires combining heterogeneous data sources such as knowledge graphs, neural model…

Artificial Intelligence · Computer Science 2024-03-06 Matthias Lanzinger , Stefano Sferrazza , Przemysław A. Wałęga , Georg Gottlob

Feature selection is a crucial preprocessing step in data analytics and machine learning. Classical feature selection algorithms select features based on the correlations between predictive features and the class variable and do not attempt…

Machine Learning · Computer Science 2019-11-19 Kui Yu , Xianjie Guo , Lin Liu , Jiuyong Li , Hao Wang , Zhaolong Ling , Xindong Wu

Recently, Wang et al. discussed the properties of fuzzy information systems under homomorphisms in the paper [C. Wang, D. Chen, L. Zhu, Homomorphisms between fuzzy information systems, Applied Mathematics Letters 22 (2009) 1045-1050], where…

Artificial Intelligence · Computer Science 2011-11-08 Ping Zhu , Qiaoyan Wen

In this paper, we propose methods of handling attributive values of object classes in object oriented database with fuzzy information and uncertainty based on quantitatively semantics based hedge algebraic. In this approach we consider to…

Databases · Computer Science 2016-11-16 Doan Van Thang , Doan Van Ban

This paper addresses fundamental issues on the nature of the concepts and structures of fuzzy logic, focusing, in particular, on the conceptual and functional differences that exist between probabilistic and possibilistic approaches. A…

Artificial Intelligence · Computer Science 2013-04-05 Enrique H. Ruspini

We introduce a novel variant of logical relations that maps types not merely to partial equivalence relations on values, as is commonly done, but rather to a proof-relevant generalisation thereof, namely setoids. The objects of a setoid…

Programming Languages · Computer Science 2012-12-27 Nick Benton , Martin Hofmann , Vivek Nigam