Frequency-domain analysis | Computational mathematics | Signal processing | Linear algebra | Mathematical optimization | Theoretical computer science | Analysis of variance | Statistical methods | Optimization algorithms and methods | Mathematical analysis | Applied mathematics | Statistical signal processing | Applied statistics | Statistical forecasting | Least squares | Algorithms | Frequency | Multivariate statistics | Numerical linear algebra | Iterative methods | Stochastic processes | Mathematics of computing | Numerical analysis | Time series | Harmonic analysis

Least-squares spectral analysis

Least-squares spectral analysis (LSSA) is a method of estimating a frequency spectrum, based on a least squares fit of sinusoids to data samples, similar to Fourier analysis. Fourier analysis, the most used spectral method in science, generally boosts long-periodic noise in long gapped records; LSSA mitigates such problems. Unlike with Fourier analysis, data need not be equally spaced to use LSSA. LSSA is also known as the Vaníček method or the Gauss-Vaniček method after Petr Vaníček, and as the Lomb method or the Lomb–Scargle periodogram, based on the contributions of Nicholas R. Lomb and, independently, Jeffrey D. Scargle. (Wikipedia).

Least-squares spectral analysis
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Least squares method for simple linear regression

In this video I show you how to derive the equations for the coefficients of the simple linear regression line. The least squares method for the simple linear regression line, requires the calculation of the intercept and the slope, commonly written as beta-sub-zero and beta-sub-one. Deriv

From playlist Machine learning

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Least-squares fitting

Least-squares fitting is one of the most important matrix algebra techniques in statistics and scientific computing. You'll learn the theory of least-squares fitting and see several examples in simulated and in real data. The video uses files you can download from https://github.com/mikex

From playlist OLD ANTS #9) Matrix analysis

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Determine a Least Squares Solutions to Ax=b

This video explains how to determine a least-squares solutions to Ax=b that has no solution.

From playlist Least Squares Solutions

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Least Squares Method

This video is about Least Squares Method

From playlist Optimization

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Least Squares Regression Line on Calculator

I recently uploaded 200 videos that are much more concise with excellent graphics. Click the link in the upper right-hand corner of this video. It will take you to my youtube channel where videos are arranged in playlists. In this older video: How to use the TI-84 to enter data, calcul

From playlist Older Statistics Videos and Other Math Videos

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Catherine Sulem: Soliton Resolution for Derivative NLS equation

Abstract: We consider the Derivative Nonlinear Schrödinger equation for general initial conditions in weighted Sobolev spaces that can support bright solitons (but exclude spectral singularities). We prove global wellposedness and give a full description of the long-time behavior of the s

From playlist Women at CIRM

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Long time dynamics of 2d Euler and nonlinear inviscid damping - Hao Jia

Analysis Seminar Topic: Long time dynamics of 2d Euler and nonlinear inviscid damping Speaker: Hao Jia Affiliation: University of Minnesota Date: April 12, 2021 For more video please visit http://video.ias.edu

From playlist Mathematics

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Laurent Massoulié : Non-backtracking spectrum of random graphs: community detection and ...

Abstract: A non-backtracking walk on a graph is a directed path such that no edge is the inverse of its preceding edge. The non-backtracking matrix of a graph is indexed by its directed edges and can be used to count non-backtracking walks of a given length. It has been used recently in th

From playlist Combinatorics

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Chao Gao: Statistical Optimality and Algorithms for Top-K Ranking - Lecture 1

CIRM VIRTUAL CONFERENCE The second presentation will be focused on total ranking. The problem is to find a permutation vector to rank the entire set of players. We will show that the minimax rate of the problem with respect to the Kendall’s tau loss exhibits a transition between an expon

From playlist Virtual Conference

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Patrick Gerard: Singular value dynamics and nonlinear Fourier transform for Hankel operators on the

The lecture was held within the framework of the Hausdorff Trimester Program Harmonic Analysis and Partial Differential Equations. 14.7.2014

From playlist HIM Lectures: Trimester Program "Harmonic Analysis and Partial Differential Equations"

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Strong refutation of semi-random Boolean CSPs - Venkatesan Guruswami

Computer Science/Discrete Mathematics Seminar I Topic: Strong refutation of semi-random Boolean CSPs Speaker: Venkatesan Guruswami Affiliation: Carnegie Mellon University Date: March 08, 2021 For more video please visit http://video.ias.edu

From playlist Mathematics

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Shirshendu Ganguly (Berkeley) -- Stability and chaos in dynamical last passage percolation (Part 1)

Many complex disordered systems in statistical mechanics are characterized by intricate energy landscapes. The ground state, the configuration with lowest energy, lies at the base of the deepest valley. In important examples, such as Gaussian polymers and spin glass models, the landscape h

From playlist Integrable Probability Working Group

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AdS3 at the String Scale by Matthias Gaberdiel

ORGANIZERS : Pallab Basu, Avinash Dhar, Rajesh Gopakumar, R. Loganayagam, Gautam Mandal, Shiraz Minwalla, Suvrat Raju, Sandip Trivedi and Spenta Wadia DATE : 21 May 2018 to 02 June 2018 VENUE : Ramanujan Lecture Hall, ICTS Bangalore In the past twenty years, the discovery of the AdS/C

From playlist AdS/CFT at 20 and Beyond

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Arithmetic progressions and spectral structure - Thomas Bloom

Computer Science/Discrete Mathematics Seminar II Topic: Arithmetic progressions and spectral structure Speaker: Thomas Bloom Affiliation: University of Cambridge Date: October 13, 2020 For more video please visit http://video.ias.edu

From playlist Mathematics

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Ming Yuan: "Low Rank Tensor Methods in High Dimensional Data Analysis (Part 1/2)"

Watch part 2/2 here: https://youtu.be/5IA4z9On3Mg Tensor Methods and Emerging Applications to the Physical and Data Sciences Tutorials 2021 "Low Rank Tensor Methods in High Dimensional Data Analysis (Part 1/2)" Ming Yuan - Columbia University, Statistics Abstract: Large amount of multid

From playlist Tensor Methods and Emerging Applications to the Physical and Data Sciences 2021

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