Superposed epoch analysis (SPE or SEA), also called Chree analysis after a paper by Charles Chree that employed the technique, is a statistical tool used in data analysis either to detect periodicities within a time sequence or to reveal a correlation (usually in time) between two data sequences (usually two time series). When comparing two time series, the essence of the method is to: (1) define each occurrence of an event in one data sequence (series #1) as a key time; (2) extract subsets of data from the other sequence (series #2) within some time range near each key time; (3) superpose all extracted subsets from series #2 (with key times for all subsets synchronized) by adding them. (To effectively superpose data from series #2 that are recorded at different or even irregular times, data binning is often used.) This approach can be used to detect a signal (i.e., related variations in both series) in the presence of noise (i.e., unrelated variations in both series) whenever the noise sums incoherently while the signal is reinforced by the superposition. To search for periodicities in a single time series, the data sequence can be broken into separate subsets of equal duration, and then all subsets can be superposed. Some hypothesis for the length of the period is required to set the subsets' duration. The approach has been used in signal analysis in several fields, including geophysics (where it has been referred to as compositing) and solar physics. (Wikipedia).
Addendum for Supermasks in Superposition: A Closer Look (Paper Explained)
I take a closer look at "Supermasks in Superposition" after I've already done a video on it. Specifically, I look at: 1. The intuition and theoretical justification behind the G objective, 2. Whether Supermasks and Superposition can be viewed as two distinct ideas and 3. The Paper's Broade
From playlist Papers Explained
Proves the Principle of Superposition for linear, homogeneous odes. Join me on Coursera: Matrix Algebra for Engineers: https://www.coursera.org/learn/matrix-algebra-engineers Differential Equations for Engineers: https://www.coursera.org/learn/differential-equations-engineers Vector C
From playlist Differential Equations
Light and Optics 7_6 More on Interference
The principle of linear superposition.
From playlist Physics - Light and Optics
C18 Example problem using the superposition approach
Example problem solving with the superposition approach.
From playlist Differential Equations
Special Relativity A1 The Postulates of Special Relativity
The postulates of special relativity.
From playlist Physics - Special Relativity
Special Relativity F1 Relativistic Addition of Velocities
Relativistic addition of velocities.
From playlist Physics - Special Relativity
The nature of superposition. Mach-Zehnder interferometer
MIT 8.04 Quantum Physics I, Spring 2016 View the complete course: http://ocw.mit.edu/8-04S16 Instructor: Barton Zwiebach License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT 8.04 Quantum Physics I, Spring 2016
The Strange Science of Schrödinger’s Cat and Quantum Superposition
The famous “Schrödinger’s cat” is more than a joke about the unknown. It’s a hypothetical way of understanding an idea in quantum mechanics known as superposition. This week on Wondrium, philosophy meets physics. This video is lecture 10 from the series The Great Questions of Philosophy a
From playlist Science
Branching Random Walks: Two Conjectures and a Theorem by Parthanil Roy
Vigyan Adda Talk Page (copy & paste the following link in the web browser):- www.icts.res.in/outreach/vigyan-adda/2022june Branching Random Walks: Two Conjectures and a Theorem (online) Speaker: Parthanil Roy (ISI - Bengaluru) When:4:30 pm to 6:00 pm Sunday, 05 June 2022 Where: Livest
From playlist Vigyan Adda
How do the additional symmetries of super-symmetry advance us toward a unified theory?
Subscribe to our YouTube Channel for all the latest from World Science U. Visit our Website: http://www.worldscienceu.com/ Like us on Facebook: https://www.facebook.com/worldscienceu Follow us on Twitter: https://twitter.com/worldscienceu
From playlist Science Unplugged: Supersymmetry
Can Physics Explain Consciousness? | Professor Steven Gimbel discusses quantum consciousness
If the universe is only made up of the physical, why does it seem that a recently deceased person "isn't there" anymore? If the physical and mental parts of the universe were completely separate, then why do your palms sweat when you get nervous? Place your bets: Physics and philosophy are
From playlist Biology and Health
Light and Beyond (Lecture 5) by Rajaram Nityananda
SUMMER COURSES : LIGHT AND BEYOND SPEAKER : Rajaram Nityananda (Azim Premji University) DATE : 31 May 2020 to 28 June 2020 VENUE : Online Lectures and Tutorials This short and intensive advanced undergraduate level course starts with the understanding of light as an electromagnetic wave
From playlist Summer Course 2020: Light And Beyond
Fourier Transform as Applied to Materials Science
The Fourier transform is a versatile mathematical tool that finds application in fields ranging from image processing to coding and cryptography. In this talk, Amina Matt and George Varnavides illustrate its importance in the field of materials science through several applications: from th
From playlist Wolfram Technology Conference 2020
High-Confidence Predictions under Adversarial Uncertainty - Andrew Drucker
Andrew Drucker Massachusetts Institute of Technology February 13, 2012 We study the setting in which the bits of an unknown infinite binary sequence x are revealed sequentially to an observer. We show that very limited assumptions about x allow one to make successful predictions about unse
From playlist Mathematics
Signal artifacts (not) to worry about
This video lesson is part of a complete course on neuroscience time series analyses. The full course includes - over 47 hours of video instruction - lots and lots of MATLAB exercises and problem sets - access to a dedicated Q&A forum. You can find out more here: https://www.udemy.c
From playlist NEW ANTS #1) Introductions
Model Analysis - Deep Learning and Neural Networks with Python and Pytorch p.8
Welcome to part 8 of the deep learning with Pytorch series. In this tutorial, we'll be covering how to do analysis of our model, at least at a basic level, along with honing in more on our training loop and code. Text-based tutorial and sample code: https://pythonprogramming.net/analysis-
From playlist Pytorch - Deep learning w/ Python
Exploring the Frontier of Astrophysical Relativity with Advanced LIGO: Peter Saulson
https://strings2015.icts.res.in/talkTitles.php
From playlist Strings 2015 conference
Waves 2_13 Superposition of Waves and Interference
The principle of superposition of waves and interference.
From playlist Physics - Waves
C19 Example problem using the superposition principle
Example problem using the superposition approach.
From playlist Differential Equations
An Improved Exponential-Time Approximation Algorithm for Fully-Alternating Games... - Andrew Drucker
Computer Science/Discrete Mathematics Seminar I Topic: An Improved Exponential-Time Approximation Algorithm for Fully-Alternating Games Against Nature Speaker: Andrew Drucker Affiliation: University of Chicago Date: January 25, 2021 For more video please visit http://video.ias.edu
From playlist Mathematics