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Need for Simplicity and Everything Is a Matter of Degree: How Zadeh’s Philosophy is Related to Kolmogorov Complexity, Quantum Physics, and Deep Learning

2023
Many people remember Lofti Zadeh's mantra -- that everything is a matter of degree. This was one of the main principles behind fuzzy logic. What is somewhat less remembered is that Zadeh also used another important principle -- that there is a need for simplicity.
Kreinovich, Vladik   +2 more
openaire   +1 more source

Kolmogorov Complexity of Categories

Computation, Logic, Games, and Quantum Foundations, 2013
Kolmogorov complexity theory is used to tell what the algorithmic informational content of a string is. It is defined as the length of the shortest program that describes the string.
N. Yanofsky
semanticscholar   +1 more source

KACQ-DCNN: Uncertainty-Aware Interpretable Kolmogorov-Arnold Classical-Quantum Dual-Channel Neural Network for Heart Disease Detection

Comput. Biol. Medicine
BACKGROUND Heart failure remains a critical global health issue, contributing significantly to cardiovascular disease burden and accounting for approximately 17.8 million annual deaths worldwide.
Md Abrar Jahin   +4 more
semanticscholar   +1 more source

Quantum circuit complexity and unsupervised machine learning of topological order

arXiv.org
Inspired by the close relationship between Kolmogorov complexity and unsupervised machine learning, we explore quantum circuit complexity, an important concept in quantum computation and quantum information science, as a pivot to understand and to build ...
Yanming Che   +3 more
semanticscholar   +1 more source

A Meta-Complexity Characterization of Quantum Cryptography

Electron. Colloquium Comput. Complex.
We prove the first meta-complexity characterization of a quantum cryptographic primitive. We show that one-way puzzles exist if and only if there is some quantum samplable distribution of binary strings over which it is hard to approximate Kolmogorov ...
Bruno Cavalar   +3 more
semanticscholar   +1 more source

Quantum Cryptography and Meta-Complexity

Annual International Cryptology Conference
In classical cryptography, one-way functions (OWFs) are the minimal assumption, while it is not the case in quantum cryptography. Several new primitives have been introduced such as pseudorandom state generators (PRSGs), one-way state generators (OWSGs),
Taiga Hiroka, T. Morimae
semanticscholar   +1 more source

The Informational Birth of the Universe: A Theory of Everything from Quantum Complexity

Quantum Reports
We propose a unified theoretical framework grounded in a Primordial Quantum Field (PQF)—a continuous, non-local informational substrate that precedes space-time and matter. The PQF is represented by a wave functional evolving in an abstract configuration
Gastón Sanglier Contreras   +2 more
semanticscholar   +1 more source

Quantum Observer and Kolmogorov Complexity

2013
1 Introduction2 Observer as a Problem3 Observer as a System Identification Algorithm4 Quantum and Classical Systems5 Elements of Reality6 Relativity of Observation7 Experimental Test8 ...
openaire   +1 more source

Carleman-lattice-Boltzmann quantum circuit with matrix access oracles

The Physics of Fluids
We apply Carleman linearization of the Lattice Boltzmann (CLB) representation of fluid flows to quantum emulate the dynamics of a two-dimensional Kolmogorov-like flow.
Claudio Sanavio   +4 more
semanticscholar   +1 more source

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