Optimization algorithms and methods | Computational statistics | Dimension reduction

Semidefinite embedding

Maximum Variance Unfolding (MVU), also known as Semidefinite Embedding (SDE), is an algorithm in computer science that uses semidefinite programming to perform non-linear dimensionality reduction of high-dimensional vectorial input data. It is motivated by the observation that kernel Principal Component Analysis (kPCA) does not reduce the data dimensionality, as it leverages the Kernel trick to non-linearly map the original data into an inner-product space. (Wikipedia).

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Capacitors (2 of 9) What is Capacitance? An Explanation

In this video Mr. Swarthout gives a brief overview of capacitance; including the definition, units and abbreviations. The SI unit of capacitance is the farad (F), which is defined as one coulomb per volt (1 C/V). A capacitor is a passive electronic device that stores electric charge on its

From playlist Capacitors and Capacitance

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Capacitors (3 of 9) What is a Farad? An Explanation

Gives a brief over view of what a farad is and how it relates to capacitance. The SI unit of capacitance is the farad (F), which is defined as one coulomb per volt (1 C/V). A capacitor is a passive electronic device that stores electric charge on its plates and electrical energy in its ele

From playlist Capacitors and Capacitance

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Physics 39 Capacitors (20 of 37) Find C of Capacitor with 4 Dielectrics

Visit http://ilectureonline.com for more math and science lectures! In this video I will find the capacitance when a capacitor with a dielectric with 4 different dielectrics. Next video can be seen at: https://youtu.be/L0AJUN9q_iU

From playlist PHYSICS 39 CAPACITORS

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The Practical Guide to Semidefinite Programming (2/4)

Second video of the Semidefinite Programming series. In this video, we will see how to use semidefinite programming to solve a toy geometry problem. Python code included. -------------------------- Timestamps: 0:00 Intro 0:41 Interesting Fact about Positive Semidefinite matrices 2:17 Let'

From playlist Semidefinite Programming

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Product Rules in Semidefinite Programming - Rajat Mittal

Rajat Mittal March 22, 2010 Semidefinite programming bounds are widely used in combinatorial optimization, quantum computing and complexity theory. The first semidefinite programming bound to gain fame is the so-called theta number developed by Lov\'asz to compute the Shannon capacity of

From playlist Mathematics

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Zico Kolter: "Fast semidefinite programming for (differentiable) combinatorial optimization"

Deep Learning and Combinatorial Optimization 2021 "Fast semidefinite programming for (differentiable) combinatorial optimization" Zico Kolter - Carnegie Mellon University Institute for Pure and Applied Mathematics, UCLA February 25, 2021 For more information: https://www.ipam.ucla.edu/d

From playlist Deep Learning and Combinatorial Optimization 2021

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Stability of Linear Dynamical Systems | The Practical Guide to Semidefinite Programming (3/4)

Third video of the Semidefinite Programming series. In this video, we will see how to use semidefinite programming to check whether a linear dynamical system is asymptotically stable. Thanks to Lyapunov's theory, this task can be reduced to searching for a so-called Lyapunov function. Pyth

From playlist Semidefinite Programming

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How To Make Mini LED Tube Lights!

LED tube lights like the ones by Quasar Science have emerged over the past few years as popular lighting options for performances, music videos, and film production. We take that concept and make a miniature version of these free-standing tube lights using LED filament wire and simple off-

From playlist Show and Tell

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LED filaments

Messing about with "Filament" LED strips from domestic LED lamps. Design info for clock : http://electricstuff.co.uk/ledfilclock.html

From playlist Various electronics stuff

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Physics - The Transformer (1 of 1)

Visit http://ilectureonline.com for more math and science lectures! Problem: Find the primary and secondary voltage and current of the transformer.

From playlist PHYSICS - ELECTRICITY AND MAGNETISM 3

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Goemans-Williamson Max-Cut Algorithm | The Practical Guide to Semidefinite Programming (4/4)

Fourth and last video of the Semidefinite Programming series. In this video, we will go over Goemans and Williamson's algorithm for the Max-Cut problem. Their algorithm, which is still state-of-the-art today, is one of the biggest breakthroughs in approximation theory. Remarkably, it is

From playlist Semidefinite Programming

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Capacitors (9 of 9) Graphical Determination of Capacitance

This video describes how to graphically determine the capacitance of a capacitor. First, five data points are collected, each data point consists of the potential difference across the capacitor and the charge on the plates of the capacitor. Next the data points are plotted on a graph of

From playlist Capacitors and Capacitance

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What Does It Mean For a Matrix to be POSITIVE? The Practical Guide to Semidefinite Programming(1/4)

Video series on the wonderful field of Semidefinite Programming and its applications. In this first part, we explore the question of how we can generalize the notion of positivity to matrices. -------------------------- Timestamps: 0:00 Intro 0:41 Questions 2:50 Definition 6:09 PSD vs

From playlist Semidefinite Programming

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Lieven Vandenberghe: "Bregman proximal methods for semidefinite optimization."

Intersections between Control, Learning and Optimization 2020 "Bregman proximal methods for semidefinite optimization." Lieven Vandenberghe - University of California, Los Angeles (UCLA) Abstract: We discuss first-order methods for semidefinite optimization, based on non-Euclidean projec

From playlist Intersections between Control, Learning and Optimization 2020

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Conductivity of Glass

Insulating glass becomes a conductor of electricity when heated with a blowtorch. Two ceramic lightbulb sockets are wired in series to a household AC power cord. When two incandescent bulbs of the same Wattage rating are screwed into the sockets and the cord is plugged in, they both pass

From playlist Electricity and Magnetism

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Irène Waldspurger: Rank optimality for the Burer-Monteiro factorization

The Burer-Monteiro factorization is a classical heuristic used to speed up the solving of large scale semidefinite programs when the solution is expected to be low rank: One writes the solution as the product of thinner matrices, and optimizes over the (low-dimensional) factors instead of

From playlist Control Theory and Optimization

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(ML 19.5) Positive semidefinite kernels (Covariance functions)

Definition of a positive semidefinite kernel, or covariance function. A simple example. Explanation of terminology: autocovariance, positive definite kernel, stationary kernel, isotropic kernel, covariogram, positive definite function.

From playlist Machine Learning

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How to make a high voltage transformer!

Hello friends, today in this video i have shown how to make a high voltage transformer. Here i have used a transformer's ferrite core. I demonstrate and explain how many volts we have in secondary coil.

From playlist ELECTROMAGNETISM

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Motion Planning Via Moment Optimization

Motion planning is a fundamental problem in robotics. In this talk we attack this problem with techniques from the fields of "Moment Optimization" and "Semidefinite Programming". Our method shows promise in handling obstacles that vary with time, and provides formal guarantees on the qual

From playlist Conference Talks

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Capacitors (4 of 9) Calculating the Capacitance of a Capacitor, An Explanation

Explains how to calculate the capacitance of a capacitor. A capacitor is a passive electronic device that stores electric charge on its plates and electrical energy in its electric field. A capacitor contains at least two electrical conductors such as metal plates that are separated by a

From playlist Capacitors and Capacitance

Related pages

Kernel principal component analysis | Coordinate vector | Cholesky decomposition | Energy minimization | Riemannian manifold | Semidefinite programming | Multidimensional scaling | Algorithm