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The computational complexity of a quantum state quantifies how hard it is to make. `Complexity geometry', first proposed by Nielsen, is an approach to defining computational complexity using the tools of differential geometry. Here we…

High Energy Physics - Theory · Physics 2021-04-01 Adam R. Brown , Leonard Susskind

Quantum computational complexity estimates the difficulty of constructing quantum states from elementary operations, a problem of prime importance for quantum computation. Surprisingly, this quantity can also serve to study a completely…

High Energy Physics - Theory · Physics 2022-03-02 Shira Chapman , Giuseppe Policastro

We revisit the long-standing question of the relation between image appreciation and its statistical properties. We generate two different sets of random images well distributed along three measures of entropic complexity. We run a…

Statistical Mechanics · Physics 2020-07-01 Samy Lakhal , Alexandre Darmon , Jean-Philippe Bouchaud , Michael Benzaquen

This paper introduces a novel method for the representation of images that is semantic by nature, addressing the question of computation intelligibility in computer vision tasks. More specifically, our proposition is to introduce what we…

Computer Vision and Pattern Recognition · Computer Science 2018-11-07 Maxime Bucher , Stéphane Herbin , Frédéric Jurie

Curriculum learning strategies in prior multi-task learning approaches arrange datasets in a difficulty hierarchy either based on human perception or by exhaustively searching the optimal arrangement. However, human perception of difficulty…

Machine Learning · Computer Science 2022-05-30 Neeraj Varshney , Swaroop Mishra , Chitta Baral

While extensive research on query evaluation has achieved consistent improvements in the time complexity of algorithms, the space complexity of query evaluation has been largely ignored. This is a particular challenge in settings with…

Databases · Computer Science 2025-09-29 Kyle Deeds , Timo Camillo Merkl , Reinhard Pichler , Dan Suciu

We study the build up of complexity on the example of 1 kg matter in different forms. We start on the simplest example of ideal gases, and then continue with more complex chemical, biological, life and social and technical structures. We…

Other Quantitative Biology · Quantitative Biology 2017-01-19 L. P. Csernai , S. F. Spinnangr , S. Velle

Methods for the reduction of the complexity of computational problems are presented, as well as their connections to renormalization, scaling, and irreversible statistical mechanics. Several statistically stationary cases are analyzed; for…

Numerical Analysis · Mathematics 2007-05-23 Alexandre J. Chorin , Panagiotis Stinis

We survey concepts at the frontier of research connecting artificial, animal and human cognition to computation and information processing---from the Turing test to Searle's Chinese Room argument, from Integrated Information Theory to…

Artificial Intelligence · Computer Science 2015-12-25 Nicolas Gauvrit , Hector Zenil , Jesper Tegnér

The article proposes a universal dual-axis intelligent systems assessment scale. The scale considers the properties of intelligent systems within the environmental context, which develops over time. In contrast to the frequent consideration…

Artificial Intelligence · Computer Science 2023-08-25 Oleg V. Kubryak , Sergey V. Kovalchuk , Nadezhda G. Bagdasaryan

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

Computational models of decisionmaking must contend with the variance of context and any number of possible decisions that a defined strategic actor can make at a given time. Relying on cognitive science theory, the authors have created an…

Artificial Intelligence · Computer Science 2017-11-10 Dr. W. A. Rivera , James C. Wu

The global availability of communication services makes it possible to interconnect independently developed systems, called constituent systems, to provide new synergistic services and more efficient economic processes. The characteristics…

Software Engineering · Computer Science 2013-11-15 Hermann Kopetz

Computational problems can be classified according to their algorithmic complexity, which is defined based on how the resources needed to solve the problem, e.g. the execution time, scale with the problem size. Many problems in…

Computational Complexity · Computer Science 2021-07-29 Davide Cirillo , Miguel Ponce-de-Leon , Alfonso Valencia

In this article we present two ways of structuring bodies of evidence, which allow us to reduce the complexity of the operations usually performed in the framework of evidence theory. The first structure just partitions the focal elements…

Artificial Intelligence · Computer Science 2013-03-26 Sandra Sandri

In the first part of this paper, we present a unified framework for analyzing the algorithmic complexity of any optimization problem, whether it be continuous or discrete in nature. This helps to formalize notions like "input", "size" and…

Optimization and Control · Mathematics 2022-07-06 Amitabh Basu

Online algorithm is a well-known computational model. We introduce quantum online algorithms and investigate them with respect to a competitive ratio in two points of view: space complexity and advice complexity. We start with exploring a…

Computational Complexity · Computer Science 2017-09-26 Kamil Khadiev , Aliya Khadieva , Ilnaz Mannapov

We study the complexity of computational problems from quantum physics. Typically, they are studied using the complexity class QMA (quantum counterpart of NP) but some natural computational problems appear to be slightly harder than QMA. We…

Quantum Physics · Physics 2014-04-11 Andris Ambainis

Complexity is a measure of information content. Crystalline materials are not complex systems because their structures can be represented tersely using the language of crystallography. Disordered materials are also structurally simple if…

Disordered Systems and Neural Networks · Physics 2025-09-12 Andrew L. Goodwin

It has been quite a long time since AI researchers in the field of computer science stop talking about simulating human intelligence or trying to explain how brain works. Recently, represented by deep learning techniques, the field of…

Artificial Intelligence · Computer Science 2015-09-30 Hao Wu
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