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This article presents an overview of the idea that "information compression by multiple alignment, unification and search" (ICMAUS) may serve as a unifying principle in computing (including mathematics and logic) and in such aspects of…

Artificial Intelligence · Computer Science 2007-05-23 J Gerard Wolff

This article introduces the idea that "information compression by multiple alignment, unification and search" (ICMAUS) provides a framework within which natural language syntax may be represented in a simple format and the parsing and…

Artificial Intelligence · Computer Science 2007-05-23 J Gerard Wolff

This article introduces the conjecture that "mathematics, logic and related disciplines may usefully be understood as information compression (IC) by 'multiple alignment', 'unification' and 'search' (ICMAUS)". As a preparation for the two…

General Mathematics · Mathematics 2007-05-23 J Gerard Wolff

This paper argues that the operations of a 'Universal Turing Machine' (UTM) and equivalent mechanisms such as the 'Post Canonical System' (PCS) - which are widely accepted as definitions of the concept of `computing' - may be interpreted as…

Artificial Intelligence · Computer Science 2007-05-23 J Gerard Wolff

This paper describes a novel approach to unsupervised learning that has been developed within a framework of "information compression by multiple alignment, unification and search" (ICMAUS), designed to integrate learning with other AI…

Artificial Intelligence · Computer Science 2007-05-23 J. G. Wolff

This paper describes a novel approach to grammar induction that has been developed within a framework designed to integrate learning with other aspects of computing, AI, mathematics and logic. This framework, called "information compression…

Artificial Intelligence · Computer Science 2007-05-23 J Gerard Wolff

This article is an overview of the "SP theory of intelligence". The theory aims to simplify and integrate concepts across artificial intelligence, mainstream computing and human perception and cognition, with information compression as a…

Artificial Intelligence · Computer Science 2015-01-08 J. Gerard Wolff

This paper describes a novel perspective on the foundations of mathematics: how mathematics may be seen to be largely about 'information compression via the matching and unification of patterns' (ICMUP). ICMUP is itself a novel approach to…

Artificial Intelligence · Computer Science 2018-10-10 J Gerard Wolff

This paper provides an overview of the SP theory of intelligence and its central idea that artificial intelligence, mainstream computing, and much of human perception and cognition, may be understood as information compression. The…

Artificial Intelligence · Computer Science 2013-03-11 J Gerard Wolff

This paper presents evidence for the idea that much of artificial intelligence, human perception and cognition, mainstream computing, and mathematics, may be understood as compression of information via the matching and unification of…

Artificial Intelligence · Computer Science 2015-07-14 J. Gerard Wolff

The main purpose of this article is to describe potential benefits and applications of the SP theory, a unique attempt to simplify and integrate ideas across artificial intelligence, mainstream computing and human cognition, with…

Artificial Intelligence · Computer Science 2012-12-04 James Gerard Wolff

In physics we often use very simple models to describe systems with many degrees of freedom, but it is not clear why or how this success can be transferred to the more complex biological context. We consider models for the joint…

Neurons and Cognition · Quantitative Biology 2024-12-06 Luisa Ramirez , William Bialek , Stephanie E. Palmer , David J. Schwab

One important challenge for probabilistic logics is reasoning with very large knowledge bases (KBs) of imperfect information, such as those produced by modern web-scale information extraction systems. One scalability problem shared by many…

Artificial Intelligence · Computer Science 2014-04-15 William Yang Wang , Kathryn Mazaitis , Ni Lao , Tom Mitchell , William W. Cohen

The handling of probabilities in the form of uncertainty or partial information is an essential task for LLMs in many settings and applications. A common approach to evaluate an LLM's probabilistic reasoning capabilities is to assess its…

Artificial Intelligence · Computer Science 2026-02-12 Manuel Mondal , Ljiljana Dolamic , Gérôme Bovet , Philippe Cudré-Mauroux , Julien Audiffren

Comprehensible explanations of probabilistic reasoning are a prerequisite for wider acceptance of Bayesian methods in expert systems and decision support systems. A study of human reasoning under uncertainty suggests two different…

Artificial Intelligence · Computer Science 2013-04-05 Max Henrion , Marek J. Druzdzel

This book develops the conjecture that all kinds of information processing in computers and in brains may usefully be understood as "information compression by multiple alignment, unification and search". This "SP theory", which has been…

Artificial Intelligence · Computer Science 2007-05-23 J Gerard Wolff

Information theory is built on probability measures and by definition a probability measure has total mass 1. Probability measures are used to model uncertainty, and one may ask how important it is that the total mass is one. We claim that…

Information Theory · Computer Science 2022-02-08 Peter Harremoës

This paper presents a plausible reasoning system to illustrate some broad issues in knowledge representation: dualities between different reasoning forms, the difficulty of unifying complementary reasoning styles, and the approximate nature…

Artificial Intelligence · Computer Science 2013-03-26 Wray L. Buntine

The emergence of tools based on artificial intelligence has also led to the need of producing explanations which are understandable by a human being. In most approaches, the system is considered a black box, making it difficult to generate…

Artificial Intelligence · Computer Science 2024-10-23 Germán Vidal

Notwithstanding various attempts to construct a Partial Information Decomposition (PID) for multiple variables by defining synergistic, redundant, and unique information, there is no consensus on how one ought to precisely define either of…

Data Analysis, Statistics and Probability · Physics 2023-06-07 Steven J. van Enk
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