Natural computation | Theoretical computer science

Natural computing

Natural computing, also called natural computation, is a terminology introduced to encompass three classes of methods: 1) those that take inspiration from nature for the development of novel problem-solving techniques; 2) those that are based on the use of computers to synthesize natural phenomena; and 3) those that employ natural materials (e.g., molecules) to compute. The main fields of research that compose these three branches are artificial neural networks, evolutionary algorithms, swarm intelligence, artificial immune systems, fractal geometry, artificial life, DNA computing, and quantum computing, among others. Computational paradigms studied by natural computing are abstracted from natural phenomena as diverse as self-replication, the functioning of the brain, Darwinian evolution, group behavior, the immune system, the defining properties of life forms, cell membranes, and morphogenesis. Besides traditional electronic hardware, these computational paradigms can be implemented on alternative physical media such as biomolecules (DNA, RNA), or trapped-ion devices. Dually, one can view processes occurring in nature as information processing. Such processes include self-assembly, developmental processes, gene regulation networks, protein–protein interaction networks, biological transport (active transport, passive transport) networks, and in unicellular organisms. Efforts tounderstand biological systems also include engineering of semi-synthetic organisms, and understanding the universe itself from the point of view of information processing. Indeed, the idea was even advanced that information is more fundamental than matter or energy. The Zuse-Fredkin thesis, dating back to the 1960s, states that the entire universe is a huge cellular automaton which continuously updates its rules.Recently it has been suggested that the whole universe is a quantum computer that computes its own behaviour.The universe/nature as computational mechanism is addressed by, exploring nature with help the ideas of computability, and studying natural processes as computations (information processing). (Wikipedia).

Natural computing
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Reconsidering natural numbers and arithmetical expressions | Data structures Math Foundations 185

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Machine Learning

If you are interested in learning more about this topic, please visit http://www.gcflearnfree.org/ to view the entire tutorial on our website. It includes instructional text, informational graphics, examples, and even interactives for you to practice and apply what you've learned.

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The realm of natural numbers | Data structures in Mathematics Math Foundations 155

Here we look at a somewhat unfamiliar aspect of arithmetic with natural numbers, motivated by operations with multisets, and ultimately forming a main ingredient for that theory. We look at natural numbers, together with 0, under three operations: addition, union and intersection. We will

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The Computational Universe - Leslie Valiant

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Nando de Freitas: "An Informal Mathematical Tour of Feature Learning, Pt. 1"

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What is Quantum Machine Learning?

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Unentscheidbare Probleme in der Mathematik

Prof. Dr. Dr. Katrin Tent, Mathematikerin von der Universität Münster und derzeit Gastwissenschaftlerin am Hausdorff Research Institute for Mathematics (HIM) der Universität Bonn, sprach im 200. Jahr des Bestehens der Bonner Alma Mater über "Unterschjeidbare Probleme in der Mathematik":

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