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One might think that, once we know something is computable, how efficiently it can be computed is a practical question with little further philosophical importance. In this essay, I offer a detailed case that one would be wrong. In…

Computational Complexity · Computer Science 2024-05-11 Scott Aaronson

The novel concept of quantum logical entropy is presented and analyzed. We prove several basic properties of this entropy with regard to density matrices. We hereby motivate a different approach for the assignment of quantum entropy to…

Quantum Physics · Physics 2017-11-27 Boaz Tamir , Eliahu Cohen

Computational Intelligence (CI) is a sub-branch of Artificial Intelligence paradigm focusing on the study of adaptive mechanisms to enable or facilitate intelligent behavior in complex and changing environments. There are several paradigms…

Machine Learning · Statistics 2010-06-10 Dariusz Plewczynski

The paper serves as the first contribution towards the development of the theory of efficiency: a unifying framework for the currently disjoint theories of information, complexity, communication and computation. Realizing the defining…

Computational Complexity · Computer Science 2016-10-26 Roman V. Yampolskiy

In this paper, we introduce the concept of collective learning (CL) which exploits the notion of collective intelligence in the field of distributed semi-supervised learning. The proposed framework draws inspiration from the learning…

Machine Learning · Computer Science 2021-05-27 Francesco Farina

In network function computation is as a means to reduce the required communication flow in terms of number of bits transmitted per source symbol. However, the rate region for the function computation problem in general topologies is an open…

Information Theory · Computer Science 2020-01-23 Derya Malak , Alejandro Cohen , Muriel Medard

Explainable artificial intelligence has rapidly emerged since lawmakers have started requiring interpretable models for safety-critical domains. Concept-based neural networks have arisen as explainable-by-design methods as they leverage…

Artificial Intelligence · Computer Science 2023-09-28 Pietro Barbiero , Gabriele Ciravegna , Francesco Giannini , Pietro Lió , Marco Gori , Stefano Melacci

These notes describe how the "SP theory of intelligence", and its embodiment in the "SP machine", may help to realise cognitive computing, as described in the book "Smart Machines". In the SP system, information compression and a concept of…

Artificial Intelligence · Computer Science 2014-02-20 J. Gerard Wolff

This paper fills a gap in our understanding of the interaction between information and computation. It unifies other approaches to measuring information like Kolmogorov complexity and Shannon information. We define a theory about…

Information Theory · Computer Science 2016-11-24 P. W. Adriaans

We introduce a new kind of Information Theory. From a finite number of local, noisy comparisons, we want to design a robust filter such that the outcome is a high ranking number, Both analytical and numerical results are encouraging and we…

Disordered Systems and Neural Networks · Physics 2009-11-07 A. Capocci , F. Slanina , Y. -C. Zhang

The authors discuss information-based complexity theory, which is a model of finite-precision computations with real numbers, and its applications to numerical analysis.

Numerical Analysis · Mathematics 2008-02-03 J. F. Traub , Henryk Woźniakowski

This is a preliminary version of the Chapter 1 of a book "Computable Integrability"

Mathematical Physics · Physics 2007-05-23 A. Shabat , E. Kartashova

Quantum information theory is the study of the achievable limits of information processing within quantum mechanics. Many different types of information can be accommodated within quantum mechanics, including classical information, coherent…

Quantum Physics · Physics 2007-05-23 M. A. Nielsen

To learn how cognition is implemented in the brain, we must build computational models that can perform cognitive tasks, and test such models with brain and behavioral experiments. Cognitive science has developed computational models of…

Neurons and Cognition · Quantitative Biology 2018-08-01 Nikolaus Kriegeskorte , Pamela K. Douglas

The goal of transfer learning (TL) is providing a framework for exploiting acquired knowledge from source to target data. Transfer learning approaches compared to traditional machine learning approaches are capable of modeling better data…

Artificial Intelligence · Computer Science 2022-06-23 Mohamad Zamini , Eunjin Kim

We propose a new clustering approach, called optimality-based clustering, that clusters data points based on their latent decision-making preferences. We assume that each data point is a decision generated by a decision-maker who…

Optimization and Control · Mathematics 2022-02-15 Zahed Shahmoradi , Taewoo Lee

The article provides an overview of approaches to modeling the human psyche in the perspective of building an artificial one. Based on the review, a concept of cognitive architecture is proposed, where the psyche is considered as an…

Neurons and Cognition · Quantitative Biology 2025-09-11 Anton Kolonin , Vladimir Kryukov

The problem of replicating the flexibility of human common-sense reasoning has captured the imagination of computer scientists since the early days of Alan Turing's foundational work on computation and the philosophy of artificial…

Artificial Intelligence · Computer Science 2015-11-24 Cameron E. Freer , Daniel M. Roy , Joshua B. Tenenbaum

This article is a short introduction to and review of the cluster-state model of quantum computation, in which coherent quantum information processing is accomplished via a sequence of single-qubit measurements applied to a fixed quantum…

Quantum Physics · Physics 2009-11-11 Michael A. Nielsen

We review clustering as an analysis tool and the underlying concepts from an introductory perspective. What is clustering and how can clusterings be realised programmatically? How can data be represented and prepared for a clustering task?…

Machine Learning · Computer Science 2022-12-05 Jan-Oliver Felix Kapp-Joswig , Bettina G. Keller