Statistical approximations | Filter theory | Signal processing
An alpha beta filter (also called alpha-beta filter, f-g filter or g-h filter) is a simplified form of observer for estimation, data smoothing and control applications. It is closely related to Kalman filters and to linear state observers used in control theory. Its principal advantage is that it does not require a detailed system model. (Wikipedia).
Excel Beta Distribution (BETA.DIST)
How to use the BETA.DIST function in Excel for beta distribution cumulative probabilities. Three ways to format the function/
From playlist Excel for Statistics
Introduction to Frequency Selective Filtering
http://AllSignalProcessing.com for free e-book on frequency relationships and more great signal processing content, including concept/screenshot files, quizzes, MATLAB and data files. Separation of signals based on frequency content using lowpass, highpass, bandpass, etc filters. Filter g
From playlist Introduction to Filter Design
Beta Function - Integral Representation Derivation
Today, we derive the integral representation for the Beta function. We will be using this result in a future video to prove the Euler reflection formula!
From playlist Integrals
(ML 7.6) Beta-Bernoulli model (part 2)
The Beta distribution is a conjugate prior for the Bernoulli. We derive the posterior distribution and the (posterior) predictive distribution under this model.
From playlist Machine Learning
(ML 7.5) Beta-Bernoulli model (part 1)
The Beta distribution is a conjugate prior for the Bernoulli. We derive the posterior distribution and the (posterior) predictive distribution under this model.
From playlist Machine Learning
Continuous-Time Butterworth Filters
http://AllSignalProcessing.com for more great signal processing content, including concept/screenshot files, quizzes, MATLAB and data files. An introduction to the characteristics and definition of analog Butterworth filters.
From playlist Infinite Impulse Response Filter Design
Karlheinz Gröchenig: Gabor Analysis and its Mysteries (Lecture 1)
The lecture was held within the framework of the Hausdorff Trimester Program Mathematics of Signal Processing. In Gabor analysis one studies the construction and properties of series expansions of functions with respect to a set of time-frequency shifts (phase space shifts) of a single fu
From playlist HIM Lectures: Trimester Program "Mathematics of Signal Processing"
Bradley Nelson (2/19/22): Parameterized Vietoris-Rips Filtrations via Covers
A challenge in computational topology is to deal with large filtered geometric complexes built from point cloud data such as Vietoris-Rips filtrations. This has led to the development of schemes for parallel computation and compression which restrict simplices to lie in open sets in a cove
From playlist Vietoris-Rips Seminar
Speech and Audio Processing 4: Speech Coding I - Professor E. Ambikairajah
Speech and Audio Processing Speech Coding - Lecture notes available from: http://eemedia.ee.unsw.edu.au/contents/elec9344/LectureNotes/
From playlist ELEC9344 Speech and Audio Processing by Prof. Ambikairajah
This video explains AlphaZero! AlphaZero makes slight modifications to AlphaGo Zero and generalizes the game from Go to Chess and Shogi as well. AlphaZero outplays Chess algorithms that uses a more exhaustive Alpha-Beta search engine compared to MCTS and uses handcrafted features from expe
From playlist Game Playing AI: From AlphaGo to MuZero
Zakhar Kabluchko: Random Polytopes, Lecture III
In these three lectures we will provide an introduction to the subject of beta polytopes. These are random polytopes defined as convex hulls of i.i.d. samples from the beta density proportional to (1 − ∥x∥2)β on the d-dimensional unit ball. Similarly, beta’ polytopes are defined as convex
From playlist Workshop: High dimensional spatial random systems
Claire Amiot: Cluster algebras and categorification - Part 3
Abstract: In this course I will first introduce cluster algebras associated with a triangulated surface. I will then focus on representation of quivers, and show the strong link between cluster combinatorics and representation theory. The aim will be to explain additive categorification of
From playlist Combinatorics
Category Theory: The Beginner's Introduction (Lesson 1 Explorations - Solutions)
These are the solutions to the explorations from Lesson 1. The explorations allow you to review concepts from Lesson 1 (such as the nature of maps in the opposite category), while prepare you for concepts in Lesson 2 (such as determination problems - the core of scientific data analysis).
From playlist Category Theory: The Beginner’s Introduction
apl programming session. this is a series of me implementing a connect 4 with computer opponent in apl live for you to watch. in this part we find a nice and elegant expression for the index array for the 4-rows. and we implement alpha beta pruning and add functionality to the main loop
From playlist connect 4 in APL
Topology Without Tears - Video 3b - Sequences and Nets
This is part (b) of Video 3, which is the third in a series of videos which supplement the online book "Topology Without Tears", available at no cost at www.topologywithouttears.net.
From playlist Topology Without Tears
MIT 8.03SC Physics III: Vibrations and Waves, Fall 2016 View the complete course: https://ocw.mit.edu/8-03SCF16 Instructor: Yen-Jie Lee Prof. Lee discusses the propagation of light in the dielectric medium. He also shows an interesting phenomena, the Brewster's angle, and demonstrates th
From playlist MIT 8.03SC Physics III: Vibrations and Waves, Fall 2016
Characterizing Filter Phase Response
http://AllSignalProcessing.com for more great signal processing content, including concept/screenshot files, quizzes, MATLAB and data files. Principal value of phase, unwrapped phase, generalized linear phase, and group delay.
From playlist Introduction to Filter Design
Colin Guillarmou: Segal axioms and resolution of Liouville conformal field theory
HYBRID EVENT Liouville conformal field theory is a 2 dimensional field theory introduced in physics in the 80's. Here we give a probabilistic construction of the amplitudes of Riemann surfaces with boundary for this field theory, and we prove that they satisfy the so called Segal Axioms. T
From playlist Probability and Statistics