Probabilistic models | Finite automata

Probabilistic automaton

In mathematics and computer science, the probabilistic automaton (PA) is a generalization of the nondeterministic finite automaton; it includes the probability of a given transition into the transition function, turning it into a transition matrix. Thus, the probabilistic automaton also generalizes the concepts of a Markov chain and of a subshift of finite type. The languages recognized by probabilistic automata are called stochastic languages; these include the regular languages as a subset. The number of stochastic languages is uncountable. The concept was introduced by Michael O. Rabin in 1963; a certain special case is sometimes known as the Rabin automaton (not to be confused with the subclass of ω-automata also referred to as Rabin automata). In recent years, a variant has been formulated in terms of quantum probabilities, the quantum finite automaton. (Wikipedia).

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Cellular Automata Rule-Generating Polynomials

Cellular Automata rules are represented by integers where we encode the output of the function without knowing the details on how it might be implemented. The CellularAutomaton function in Mathematica only requires these integers, along with the values of r and k, to evolve rules for a giv

From playlist Wolfram Technology Conference 2022

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9H The Determinant

Equivalent statements about the determinant.

From playlist Linear Algebra

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Prokaryotic Cells: The Simplest Kind of Life

We've established that the basic unit of life is the cell, and that the simplest forms of life are just one cell. The earliest unicellular organisms were prokaryotic, and there are many prokaryotic organisms still around today, including all bacteria. So let's go over the features of the p

From playlist Biology/Genetics

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7.1: Cellular Automata - The Nature of Code

This video introduces the concepts and algorithms behind Cellular Automata. (If I reference a link or project and it's not included in this description, please let me know!) Read along: http://natureofcode.com/book/chapter-7-cellular-automata/ http://en.wikipedia.org/wiki/Cellular_autom

From playlist The Nature of Code: Simulating Natural Systems

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This sleek bionic hand improves over time

This smart bionic hand learns and gets better the more you use it. 🤓 🎥 @Esper Bionics #engineering

From playlist Radical Innovations

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9G The Determinant

Equaivalent statements about the determinant. Evaluating elementary matrices.

From playlist Linear Algebra

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Richard Lassaigne: Introduction à la théorie de la complexité

Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b

From playlist Mathematical Aspects of Computer Science

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9F The Determinant

Equivalent statements about the determinant.

From playlist Linear Algebra

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What We've Learned from NKS Chapter 10: Processes of Perception and Analysis

In this episode of "What We've Learned from NKS", Stephen Wolfram is counting down to the 20th anniversary of A New Kind of Science with [another] chapter retrospective. If you'd like to contribute to the discussion in future episodes, you can participate through this YouTube channel or th

From playlist Science and Research Livestreams

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From playlist Science and Research Livestreams

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Lecture 7/16 : Recurrent neural networks

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From playlist Neural Networks for Machine Learning by Professor Geoffrey Hinton [Complete]

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What We've Learned from NKS Chapter 5: Two Dimensions and Beyond

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From playlist Science and Research Livestreams

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Coding "Conway's Game of Life" Cellular Automaton in C++/ SFML

Coways Game of life is a very famous cellula automaton, created by John Conway. In this video, I implement it in C++ and SFML. ========= DOWNLOAD: https://github.com/Hopson97/CellularAutomaton/releases/tag/v1.1 SOURCE CODE: https://github.com/Hopson97/CellularAutomaton ========= RESOUR

From playlist Creating Cellular Automaton

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1. Introduction, Finite Automata, Regular Expressions

MIT 18.404J Theory of Computation, Fall 2020 Instructor: Michael Sipser View the complete course: https://ocw.mit.edu/18-404JF20 YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP60_JNv2MmK3wkOt9syvfQWY Introduction; course outline, mechanics, and expectations. Described

From playlist MIT 18.404J Theory of Computation, Fall 2020

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When to trust a self-driving car

2018 Milner Award Lecture given by Professor Marta Kwiatkowska. How can we ensure system correctness in the presence of uncertainty? Computing devices support us in almost all everyday tasks, from mobile phones and online banking to wearable and implantable medical devices. We are now ex

From playlist Latest talks and lectures

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Andrzej Zuk: Spectra of ultra-discrete limits

We present a computation of spectra of random walks on self-similar graphs. CIRM HYBRID EVENT Recorded during the meeting "Additive Combinatorics in Marseille" the September 08, 2020 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenf

From playlist Analysis and its Applications

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Wolfram Student Podcast Episode 3: Traffic Light Algorithms to Optimize Traffic Flow

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From playlist Wolfram Student Podcast

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prob6

From playlist everything

Related pages

Topological space | Quantum finite automaton | String (computer science) | Unitary group | Deterministic finite automaton | Currying | Nondeterministic finite automaton | Coordinate vector | Regular language | Ω-automaton | Semiautomaton | Formal language | Simplex | Row and column vectors | Mathematics | Set (mathematics) | Markov chain | Subshift of finite type | Scalar (mathematics) | Stochastic matrix | Kleene star | Complex projective space | Power set | Monoid