Probabilistic models | Finite automata
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).
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
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
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
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
Equaivalent statements about the determinant. Evaluating elementary matrices.
From playlist Linear Algebra
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
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
What We've Learned from NKS Chapter 6: Starting from Randomness
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
Lecture 7/16 : Recurrent neural networks
Neural Networks for Machine Learning by Geoffrey Hinton [Coursera 2013] 7A Modeling sequences: A brief overview 7B Training RNNs with backpropagation 7C A toy example of training an RNN 7D Why it is difficult to train an RNN 7E Long term short term memory
From playlist Neural Networks for Machine Learning by Professor Geoffrey Hinton [Complete]
What We've Learned from NKS Chapter 5: Two Dimensions and Beyond
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
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
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
From playlist Algebra 1 TikToks
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
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
Wolfram Student Podcast Episode 3: Traffic Light Algorithms to Optimize Traffic Flow
In the third episode of the Wolfram Student Podcast, we feature Henry Gustafson and his project on creating traffic light algorithms to optimize traffic flow. Join us as we talk about different traffic light algorithms and their effect on traffic flow, as well as the difficulty in creating
From playlist Wolfram Student Podcast
From playlist everything