The Rybicki–Press algorithm is a fast algorithm for inverting a matrix whose entries are given by , where and where the are sorted in order. The key observation behind the Rybicki-Press observation is that the matrix inverse of such a matrix is always a tridiagonal matrix (a matrix with nonzero entries only on the main diagonal and the two adjoining ones), and tridiagonal systems of equations can be solved efficiently (to be more precise, in linear time). It is a computational optimization of a general set of statistical methods developed to determine whether two noisy, irregularly sampled data sets are, in fact, dimensionally shifted representations of the same underlying function. The most common use of the algorithm is in the detection of periodicity in astronomical observations, such as for detecting quasars. The method has been extended to the Generalized Rybicki-Press algorithm for inverting matrices with entries of the form . The key observation in the Generalized Rybicki-Press (GRP) algorithm is that the matrix is a with rank (that is, a matrix whose upper half, not including the main diagonal, is that of some matrix with matrix rank and whose lower half is also that of some possibly different rank matrix) and so can be embedded into a larger band matrix (see figure on the right), whose sparsity structure can be leveraged to reduce the computational complexity. As the matrix has a semi-separable rank of , the computational complexity of solving the linear system or of calculating the determinant of the matrix scales as , thereby making it attractive for large matrices. The fact that matrix is a semi-separable matrix also forms the basis for celerite library, which is a library for fast and scalable Gaussian process regression in one dimension with implementations in C++, Python, and Julia. The celerite method also provides an algorithm for generating samples from a high-dimensional distribution. The method has found attractive applications in a wide range of fields, especially in astronomical data analysis. (Wikipedia).
Stanford Seminar - Designing The Digital University
Elizabeth Losh University of California, San Diego. This seminar series features dynamic professionals sharing their industry experience and cutting edge research within the human-computer interaction (HCI) field. Each week, a unique collection of technologists, artists, designers, and ac
From playlist Stanford Seminars
Solving a trigonometric equation with applying pythagorean identity
👉 Learn how to solve trigonometric equations. There are various methods that can be used to evaluate trigonometric equations, they include factoring out the GCF and simplifying the factored equation. Another method is to use a trigonometric identity to reduce and then simplify the given eq
From playlist Solve Trigonometric Equations by Factoring
ESOF2020 Trieste - Going Viral? – GM viruses in the environment
This is a live panel discussion open to everyone with any interest in hearing about techniques that would require the intentional dispersion of genetically modified viruses into the environment. Brief accessible introductions to the two main topics under discussion will be given. Followed
From playlist Videos in English
ESOF2020 Trieste - Going Viral? – GM viruses in the environment
This is a live panel discussion open to everyone with any interest in hearing about techniques that would require the intentional dispersion of genetically modified viruses into the environment. Brief accessible introductions to the two main topics under discussion will be given. Followed
From playlist Videos in English
Matthieu Kowalski: Time-frequency frames and applications to audio analysis - Part 2
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 Analysis and its Applications
10% Students Solve This Trig Equation Wrong (Including me!)
Once you have a solid idea for how to solve trigonometric equations it is time for a challenge. A problem that will test you knowledge and ability to apply algebraic concepts to trigonometric equations. This problem does exactly that. ✅ Know when to use identities https://youtu.be/UArTc
From playlist Challenged and Confused Videos
23C3: Bluetooth Hacking Revisited
Speakers: Kevin Finistere, Thierry Zoller Hacking Bluetooth revisited - This talks goes into the depth of Bluetooth security, we'll show attacks on every possible bluetooth layer including Application Layer, lower layers. We'll break the drivers, the implementation, the applications a
From playlist 23C3: Who can you trust
Solve for all of the solutions of an equation when you have to factor
👉 Learn how to solve trigonometric equations. There are various methods that can be used to evaluate trigonometric equations, they include factoring out the GCF and simplifying the factored equation. Another method is to use a trigonometric identity to reduce and then simplify the given eq
From playlist Solve Trigonometric Equations by Factoring
Polynomials with Trigonometric Solutions (2 of 3: Substitute & solve)
More resources available at www.misterwootube.com
From playlist Using Complex Numbers
Solve a trig equation by factoring a perfect square trinomial
👉 Learn how to solve trigonometric equations. There are various methods that can be used to evaluate trigonometric equations, they include factoring out the GCF and simplifying the factored equation. Another method is to use a trigonometric identity to reduce and then simplify the given eq
From playlist Solve Trigonometric Equations by Factoring
Solving Higher Degree Trigonometric Equations (2 of 3: Combining results into proof)
More resources available at www.misterwootube.com
From playlist Using Complex Numbers
Learn how to factor and solve a trigonometric equation
👉 Learn how to solve trigonometric equations by factoring out the GCF. When solving trigonometric equations involving the multiples of the same trigonometric function. It is very useful to collect similar trigonometric functions together and then factor out the GCF. This enables us to use
From playlist Solve Trigonometric Equations
3 Squares Problem: Trigonometric Identity (Proof Without Words)
Link: https://www.geogebra.org/m/w8r7rn9Q
From playlist Trigonometry: Dynamic Interactives!
Learn how to write all of the solutions to a trigonometric equation
👉 Learn how to solve trigonometric equations. There are various methods that can be used to evaluate trigonometric equations, they include factoring out the GCF and simplifying the factored equation. Another method is to use a trigonometric identity to reduce and then simplify the given eq
From playlist Solve Trigonometric Equations by Factoring
Regression Analysis | What Is Regression Analysis | Introduction to Regression Analysis |Simplilearn
In this video we are going to cover how regression analysis perform by SVM algorithm using Olympic 2022 dataset. This video will help you to understand what is machine learning, what is supervised learning, types of supervised learning - Classification and Regression, What is regression a
Reinforcement Learning Chapter 2: Multi-Armed Bandits
Complete Book: http://incompleteideas.net/book/RLbook2018.pdf Print Version: https://www.amazon.com/Reinforcement-Learning-Introduction-Adaptive-Computation/dp/0262039249/ref=dp_ob_title_bk Thanks for watching this series going through the Introduction to Reinforcement Learning book! I th
From playlist Reinforcement Learning
Raul Fraile: How GZIP compression works | JSConf EU 2014
Data compression is an amazing topic. Even in today’s world, with fast networks and almost unlimited storage, data compression is still relevant, especially for mobile devices and countries with poor Internet connections. For better or worse, GZIP compression is the de-facto lossless comp
From playlist JSConf EU 2014
Arcane Algorithm Archive: Verlet Integration -- Day 3
And we got it! Visualization complete! -- Watch live at https://www.twitch.tv/simuleios
From playlist Algorithm-archive
How to use factoring to solve a trigonometric equation
👉 Learn how to solve trigonometric equations. There are various methods that can be used to evaluate trigonometric equations, they include factoring out the GCF and simplifying the factored equation. Another method is to use a trigonometric identity to reduce and then simplify the given eq
From playlist Solve Trigonometric Equations by Factoring
25c3: Algorithmic Music in a Box
Speaker: Wesen Doing music with microcontrollers Small devices like microcontrollers, coupled to a few buttons, knobs, encoders and LEDs, allow for a host of interesting and creative musical applications. Solder a few bits together, program a few lines, and you can build a deep device to
From playlist 25C3: Nothing to hide