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This paper examines how an event from one random variable provides pointwise mutual information about an event from another variable via probability mass exclusions. We start by introducing probability mass diagrams, which provide a visual…

Information Theory · Computer Science 2018-11-14 Conor Finn , Joseph T Lizier

We present some new results on the dynamic regressor extension and mixing parameter estimators for linear regression models recently proposed in the literature. This technique has proven instrumental in the solution of several open problems…

Systems and Control · Electrical Eng. & Systems 2019-08-15 Romeo Ortega , Stanislav Aranovskiy , Anton A. Pyrkin , Alessandro Astolfi , Alexey A. Bobtsov

Knowledge graphs are used to represent relational information in terms of triples. To enable learning about domains, embedding models, such as tensor factorization models, can be used to make predictions of new triples. Often there is…

Machine Learning · Computer Science 2018-12-11 Bahare Fatemi , Siamak Ravanbakhsh , David Poole

We propose to learn latent graphical models when data have mixed variables and missing values. This model could be used for further data analysis, including regression, classification, ranking etc. It also could be used for imputing missing…

Methodology · Statistics 2015-11-17 Xiao Li , Jinzhu Jia , Yuan Yao

Publishing private data on external servers incurs the problem of how to avoid unwanted disclosure of confidential data. We study a problem of confidentiality in extended disjunctive logic programs and show how it can be solved by extended…

Artificial Intelligence · Computer Science 2011-08-31 Katsumi Inoue , Chiaki Sakama , Lena Wiese

Thanks to information extraction and semantic Web efforts, search on unstructured text is increasingly refined using semantic annotations and structured knowledge bases. However, most users cannot become familiar with the schema of…

Information Retrieval · Computer Science 2012-12-27 Uma Sawant , Soumen Chakrabarti

Multiple data types naturally co-occur when describing real-world phenomena and learning from them is a long-standing goal in machine learning research. However, existing self-supervised generative models approximating an ELBO are not able…

Machine Learning · Computer Science 2021-06-28 Thomas M. Sutter , Imant Daunhawer , Julia E. Vogt

A data augmentation module is utilized in contrastive learning to transform the given data example into two views, which is considered essential and irreplaceable. However, the predetermined composition of multiple data augmentations brings…

Computer Vision and Pattern Recognition · Computer Science 2022-08-23 Junbo Zhang , Kaisheng Ma

Nonmonotone missing data arise routinely in empirical studies of social and health sciences, and when ignored, can induce selection bias and loss of efficiency. In practice, it is common to account for nonresponse under a missing-at-random…

Methodology · Statistics 2017-07-20 Eric J. Tchetgen Tchetgen , Linbo Wang , BaoLuo Sun

A fundamental aspect of relational data, such as from a social network, is the possibility of dependence among the relations. In particular, the relations between members of one pair of nodes may have an effect on the relations between…

Methodology · Statistics 2015-11-06 Peter D. Hoff

Differentiable conjugacies link dynamical systems that share properties such as the stability multipliers of corresponding orbits. It provides a stronger classification than topological conjugacy, which only requires qualitative similarity.…

Dynamical Systems · Mathematics 2023-03-02 P. A. Glendinning , D. J. W. Simpson

Working with multiple variables they usually contain difficult to control complex dependencies. This article proposes extraction of their individual information, e.g. $\overline{X|Y}$ as random variable containing information from $X$, but…

Machine Learning · Statistics 2023-11-23 Jarek Duda

The integration of data and knowledge from several sources is known as data fusion. When data is only available in a distributed fashion or when different sensors are used to infer a quantity of interest, data fusion becomes essential. In…

Machine Learning · Computer Science 2023-12-11 Peng Wu , Tales Imbiriba , Victor Elvira , Pau Closas

In recent years, a number of results have been developed which connect information measures and estimation measures under various models, including, predominently, Gaussian and Poisson models. More recent results due to Taborda and…

Information Theory · Computer Science 2012-08-01 Dongning Guo

Biochemistry, ecology, and neuroscience are examples of prominent fields aiming at describing interacting systems that exhibit non-trivial couplings to complex, ever-changing environments. We have recently shown that linear interactions and…

Statistical Mechanics · Physics 2022-08-10 Giorgio Nicoletti , Daniel Maria Busiello

Multiple sets of measurements on the same objects obtained from different platforms may reflect partially complementary information of the studied system. The integrative analysis of such data sets not only provides us with the opportunity…

Methodology · Statistics 2020-10-15 Yipeng Song , Johan A. Westerhuis , Age K. Smilde

Finite mixture models have become a popular tool for clustering. Amongst other uses, they have been applied for clustering longitudinal data and clustering high-dimensional data. In the latter case, a latent Gaussian mixture model is…

Methodology · Statistics 2018-04-17 Vanessa S. E. Bierling , Paul D. McNicholas

This paper discusses a method for implementing a probabilistic inference system based on an extended relational data model. This model provides a unified approach for a variety of applications such as dynamic programming, solving sparse…

Artificial Intelligence · Computer Science 2013-02-21 Michael S. K. M. Wong , C. J. Butz , Yang Xiang

In the last three decades, several measures of complexity have been proposed. Up to this point, most of such measures have only been developed for finite spaces. In these scenarios the baseline distribution is uniform. This makes sense…

Information Theory · Computer Science 2021-11-15 Daniel Andrés Díaz-Pachón , Robert J. Marks

This paper addresses the problem of merging uncertain information in the framework of possibilistic logic. It presents several syntactic combination rules to merge possibilistic knowledge bases, provided by different sources, into a new…

Artificial Intelligence · Computer Science 2013-02-01 Salem Benferhat , Claudio Sossai