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We construct a cross-entropy clustering (CEC) theory which finds the optimal number of clusters by automatically removing groups which carry no information. Moreover, our theory gives simple and efficient criterion to verify cluster…

Information Theory · Computer Science 2014-05-19 Przemysław Spurek , Jacek Tabor

Computability logic is a formal theory of (interactive) computability in the same sense as classical logic is a formal theory of truth. This approach was initiated very recently in "Introduction to computability logic" (Annals of Pure and…

Logic in Computer Science · Computer Science 2011-04-15 Giorgi Japaridze

A framework is presented for a computational theory of probabilistic argument. The Probabilistic Reasoning Environment encodes knowledge at three levels. At the deepest level are a set of schemata encoding the system's domain knowledge.…

Artificial Intelligence · Computer Science 2013-04-05 Kathryn Blackmond Laskey

Gathering the most information by picking the least amount of data is a common task in experimental design or when exploring an unknown environment in reinforcement learning and robotics. A widely used measure for quantifying the…

Machine Learning · Statistics 2015-09-17 Johannes Kulick , Robert Lieck , Marc Toussaint

The subject of this paper is the evolution of the concept of information processing in regular structures based on multi-level processing in nested cellular automata. The essence of the proposed model is a discrete space-time containing…

Neural and Evolutionary Computing · Computer Science 2022-10-13 Jerzy Szynka

With rapidly increasing data, clustering algorithms are important tools for data analytics in modern research. They have been successfully applied to a wide range of domains; for instance, bioinformatics, speech recognition, and financial…

Data Structures and Algorithms · Computer Science 2015-12-01 Ka-Chun Wong

For a computational system to be intelligent, it should be able to perform, at least, basic deductions. Nonetheless, since deductions are, in some sense, equivalent to tautologies, it seems that they do not provide new information. The…

Logic in Computer Science · Computer Science 2014-04-21 Anderson de Araújo

Cloud computing (CC) is a centralized computing paradigm that accumulates resources centrally and provides these resources to users through Internet. Although CC holds a large number of resources, it may not be acceptable by real-time…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-07-29 Muhammad Asim , Yong Wang , Kezhi Wang , Pei-Qiu Huang

The recently initiated approach called computability logic is a formal theory of interactive computation. See a comprehensive online source on the subject at http://www.cis.upenn.edu/~giorgi/cl.html . The present paper contains a soundness…

Logic in Computer Science · Computer Science 2011-04-15 Giorgi Japaridze

Artificial intelligence models and methods commonly lack causal interpretability. Despite the advancements in interpretable machine learning (IML) methods, they frequently assign importance to features which lack causal influence on the…

Machine Learning · Computer Science 2024-01-29 Francisco Nunes Ferreira Quialheiro Simoes , Mehdi Dastani , Thijs van Ommen

Entropy is a central concept in physics, but can be challenging to calculate even for systems that are easily simulated. This is exacerbated out of equilibrium, where generally little is known about the distribution characterizing simulated…

Statistical Mechanics · Physics 2024-05-09 Samuel D. Gelman , Guy Cohen

Resource pooling in ad hoc networks deals with accumulating computing and network resources to implement network control schemes such as routing, congestion, traffic management, and so on. Pooling of resources can be accomplished using the…

Networking and Internet Architecture · Computer Science 2017-07-12 Seema B Hegde , B. Sathish babu , Pallapa Venkatram

This literature review focuses on collective intelligence in humans. A keyword search was performed on the Web of Knowledge and selected papers were reviewed in order to reveal themes relevant to collective intelligence. Three levels of…

Computers and Society · Computer Science 2012-04-17 Juho Salminen

Typology is a subfield of linguistics that focuses on the study and classification of languages based on their structural features. Unlike genealogical classification, which examines the historical relationships between languages, typology…

Computation and Language · Computer Science 2025-04-30 Gerhard Jäger

Machine learning is usually defined in behaviourist terms, where external validation is the primary mechanism of learning. In this paper, I argue for a more holistic interpretation in which finding more probable, efficient and abstract…

Artificial Intelligence · Computer Science 2017-11-07 Johan Loeckx

We address the problem of communicating domain knowledge from a user to the designer of a clustering algorithm. We propose a protocol in which the user provides a clustering of a relatively small random sample of a data set. The algorithm…

Machine Learning · Statistics 2015-06-22 Hassan Ashtiani , Shai Ben-David

Probabilistic conceptual network is a knowledge representation scheme designed for reasoning about concepts and categorical abstractions in utility-based categorization. The scheme combines the formalisms of abstraction and inheritance…

Artificial Intelligence · Computer Science 2013-03-08 Kim-Leng Poh , Michael R. Fehling

Entropy can signify different things: For instance, heat transfer in thermodynamics or a measure of information in data analysis. Many entropies have been introduced and it can be difficult to ascertain their different importance and…

Mathematical Physics · Physics 2025-07-10 Henrik Jeldtoft Jensen , Piergiulio Tempesta

In this essay, a general case of information systems contains quantum information systems is considered. By presenting an algorithmic method a new kind of information topology is defined and considered. Continuous maps between two…

Information Theory · Computer Science 2017-08-03 MohammadReza Molaei

Computational pseudorandomness studies the extent to which a random variable $\bf{Z}$ looks like the uniform distribution according to a class of tests $\cal{F}$. Computational entropy generalizes computational pseudorandomness by studying…

Computational Complexity · Computer Science 2020-11-13 Russell Impagliazzo , Sam McGuire