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This paper presents a general and efficient framework for probabilistic inference and learning from arbitrary uncertain information. It exploits the calculation properties of finite mixture models, conjugate families and factorization. Both…

Artificial Intelligence · Computer Science 2011-05-19 M. C. Garrido , P. E. Lopez-de-Teruel , A. Ruiz

The aim of this paper is to firmly establish subjective fiducial inference as a rival to the more conventional schools of statistical inference, and to show that Fisher's intuition concerning the importance of the fiducial argument was…

Statistics Theory · Mathematics 2021-04-08 Russell J. Bowater

This is a preliminary version of visual interpretation integrating multiple sensors in SUCCESSOR, an intelligent, model-based vision system. We pursue a thorough integration of hierarchical Bayesian inference with comprehensive physical…

Artificial Intelligence · Computer Science 2013-04-11 Thomas O. Binford , Tod S. Levitt , Wallace B. Mann

Preferential equality is an equivalence relation on fuzzy subsets of finite sets and is a generalization of classical equality of subsets. In this paper we introduce a tightened version of the preferential equality on fuzzy subsets and…

General Mathematics · Mathematics 2024-06-26 Venkat Murali , Sithembele Nkonkobe

It is suggested that an AI inference system should reflect an inference policy that is tailored to the domain of problems to which it is applied -- and furthermore that an inference policy need not conform to any general theory of rational…

Artificial Intelligence · Computer Science 2013-04-08 Paul E. Lehner

Interpretable explanations for recommender systems and other machine learning models are crucial to gain user trust. Prior works that have focused on paths connecting users and items in a heterogeneous network have several limitations, such…

Machine Learning · Computer Science 2019-12-25 Azin Ghazimatin , Oana Balalau , Rishiraj Saha Roy , Gerhard Weikum

Selectional preference learning methods have usually focused on word-to-class relations, e.g., a verb selects as its subject a given nominal class. This papers extends previous statistical models to class-to-class preferences, and presents…

Computation and Language · Computer Science 2007-05-23 E. Agirre , D. Martinez

This paper presents and discusses several methods for reasoning from inconsistent knowledge bases. A so-called argumentative-consequence relation taking into account the existence of consistent arguments in favor of a conclusion and the…

Artificial Intelligence · Computer Science 2013-03-08 Salem Benferhat , Didier Dubois , Henri Prade

We propose a compression-based version of the empirical entropy of a finite string over a finite alphabet. Whereas previously one considers the naked entropy of (possibly higher order) Markov processes, we consider the sum of the…

Information Theory · Computer Science 2011-04-05 Paul M. B. Vitányi

This article handles in a short manner a few Laplace transform pairs and some extensions to the basic equations are developed. They can be applied to a wide variety of functions in order to find the Laplace transform or its inverse when…

General Mathematics · Mathematics 2014-02-13 Henrik Stenlund

We categorify one half of the small quantum sl(2) at a prime root of unity. An extension of this construction to an arbitrary simply-laced case is proposed.

Quantum Algebra · Mathematics 2016-01-11 Mikhail Khovanov , You Qi

In this paper we discuss the notion of "bridging" in Discourse Representation Theory as a tool to account for discourse referents that have only been established implicitly, through the lexical semantics of other referents. In doing so, we…

cmp-lg · Computer Science 2008-02-03 Johan Bos , Paul Buitelaar , Anne-Marie Mineur

We explore in depth how categorical data can be processed with embeddings in the context of claim severity modeling. We develop several models that range in complexity from simple neural networks to state-of-the-art attention based…

Applications · Statistics 2021-04-09 Kevin Kuo , Ronald Richman

Parametric stochastic simulators are ubiquitous in science, often featuring high-dimensional input parameters and/or an intractable likelihood. Performing Bayesian parameter inference in this context can be challenging. We present a neural…

Machine Learning · Statistics 2021-10-27 Benjamin Kurt Miller , Alex Cole , Patrick Forré , Gilles Louppe , Christoph Weniger

Probabilistic Latent Tensor Factorization (PLTF) is a recently proposed probabilistic framework for modelling multi-way data. Not only the common tensor factorization models but also any arbitrary tensor factorization structure can be…

Computation · Statistics 2014-09-30 Beyza Ermis , Y. Kenan Yılmaz , A. Taylan Cemgil , Evrim Acar

We develop a new setting for the exponential principle in the context of multisort species, where indecomposable objects are generated intrinsically instead of being given in advance. Our approach uses the language of functors and natural…

Combinatorics · Mathematics 2011-02-01 Peter Cameron , Christian Krattenthaler , Thomas W. Müller

This paper provides a unifying view of a wide range of problems of interest in machine learning by framing them as the minimization of functionals defined on the space of probability measures. In particular, we show that generative…

Machine Learning · Computer Science 2019-05-21 Casey Chu , Jose Blanchet , Peter Glynn

When interpreting A/B tests, we typically focus only on the statistically significant results and take them by face value. This practice, termed post-selection inference in the statistical literature, may negatively affect both point…

Applications · Statistics 2021-06-01 Alex Deng , Yicheng Li , Jiannan Lu , Vivek Ramamurthy

A common object technique equipped with the categorical and computational styles is briefly outlined. An object is evaluated by embedding in a host computational environment which is the domain-ranged structure. An embedded object is…

Logic in Computer Science · Computer Science 2007-05-23 Viacheslav Wolfengagen

We introduce A-ranked preferential structures and combine them with an accessibility relation. This framework allows us to formalize contrary to duty obligations. Representation results are proved.

Logic · Mathematics 2008-08-25 Dov Gabbay , Karl Schlechta