Martingale theory

Semimartingale

In probability theory, a real valued stochastic process X is called a semimartingale if it can be decomposed as the sum of a local martingale and a càdlàg adapted finite-variation process. Semimartingales are "good integrators", forming the largest class of processes with respect to which the Itô integral and the Stratonovich integral can be defined. The class of semimartingales is quite large (including, for example, all continuously differentiable processes, Brownian motion and Poisson processes). Submartingales and supermartingales together represent a subset of the semimartingales. (Wikipedia).

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Semi-coarse Spaces, Homotopy [Jonathan Treviño-Marroquín]

Semi-coarse spaces is an alternative to study (undirected) graphs through large-scale geometry. In this video, we present the structure and a homotopy what we worked on. In the final part, we look at the fundamental homotopy group of cyclic graphs.

From playlist Contributed Videos

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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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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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An incredible semicircle problem!

A semicircle contains an inscribed semicircle dividing its diameter into two lengths a and b. Can you find the formula for the inscribed semicircle's diameter in terms of the lengths a and b? What is the locus of the center of the inscribed semicircle? Thanks to Nick from Greece for the su

From playlist Math Puzzles, Riddles And Brain Teasers

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Equation of a Semicircle

More resources available at www.misterwootube.com

From playlist Working with Functions

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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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Real Analysis: Partial Differentiation

This video is about partial differentiation.

From playlist Basics: Real Analysis

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Fall 2018 Minerva Lectures

SPEAKER Professor Walter Schachermayer (University of Vienna) TITLE Asymptotic Theory of Transaction Costs ABSTRACT “A classical topic in Mathematical Finance is the theory of portfolio optimization. Robert Merton's work from the early seventies had enormous impact on academic research a

From playlist Fall 2018 Minerva Lectures

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How To Calculate The Area of a Semicircle

This video explains how to calculate the area of a semicircle given the radius and diameter of the 2D figure. My Website: https://www.video-tutor.net Patreon Donations: https://www.patreon.com/MathScienceTutor Amazon Store: https://www.amazon.com/shop/theorganicchemistrytutor Subscrib

From playlist Pre-Algebra Video Playlist

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Partialbruchzerlegung: Eine Einführung

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From playlist Theorie und Beweise

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Martin Schweizer: Some stochastic Fubini theorems

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

Related pages

Lévy process | Wiener process | Bounded variation | Quadratic variation | Càdlàg | Girsanov theorem | Stochastic process | Stratonovich integral | Doléans-Dade exponential | Martingale (probability theory) | Fractional Brownian motion | Itô calculus | Differentiable manifold | Adapted process | Well-order | Predictable process | Markov chain | Filtered probability space | Stopped process | Local martingale | Semimartingale | Probability theory | Stopping time | Sigma-martingale | Stochastic calculus