Computational complexity theory

Dynamic problem (algorithms)

Dynamic problems in computational complexity theory are problems stated in terms of the changing input data. In the most general form a problem in this category is usually stated as follows: * Given a class of input objects, find efficient algorithms and data structures to answer a certain query about a set of input objects each time the input data is modified, i.e., objects are inserted or deleted. Problems of this class have the following measures of complexity: * Space – the amount of memory space required to store the data structure; * Initialization time – time required for the initial construction of the data structure; * Insertion time – time required for the update of the data structure when one more input element is added; * Deletion time – time required for the update of the data structure when an input element is deleted; * Query time – time required to answer a query; * Other operations specific to the problem in question The overall set of computations for a dynamic problem is called a dynamic algorithm. Many algorithmic problems stated in terms of fixed input data (called static problems in this context and solved by static algorithms) have meaningful dynamic versions. (Wikipedia).

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Dynamic equations on time scales

An introductory presentation on dynamic equations on time scales and uniqueness of solutions including new research resutls. The basic ideas of time scale calculus are presented and then a new theorem is discussed under which general initial value problems have, at most, one solution. T

From playlist Mathematical analysis and applications

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(ML 14.6) Forward-Backward algorithm for HMMs

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From playlist Machine Learning

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5 Simple Steps for Solving Dynamic Programming Problems

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From playlist Problem Solving

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Source code: http://problemvault.com/index.php#problem127 Problem source / Online judge: https://open.kattis.com/problems/knapsack This video explores a classic dynamic programming problem known as the "0/1 Knapsack Problem". We walk through how the algorithm works, then we go ahead and i

From playlist Programming Competition Problems with Micah Stairs

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New introductory Open Middle systems of equations exercise: Using digits -9 to 9 no more than one time each, fill in the blanks to create a system of equations with given solution: https://www.geogebra.org/m/cseprgh7 #GeoGebra

From playlist Algebra 1: Dynamic Interactives!

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Another example problem using the method of variation of parameters.

From playlist Differential Equations

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Overview of the 0/1 Knapsack problem using dynamic programming Algorithms repository: https://github.com/williamfiset/algorithms My website: http://www.williamfiset.com

From playlist Dynamic Programming

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From playlist SIAG-ACDA Online Seminar Series

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Chiara Cammarota: "High-dimensional cost landscape and gradient descent in Tensor PCA and its ge..."

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From playlist Machine Learning for Physics and the Physics of Learning 2019

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From playlist The Interplay between Statistics and Optimization in Learning

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Andrew Childs - Efficient quantum algorithm for dissipative nonlinear differential equations

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From playlist Quantum Numerical Linear Algebra - Jan. 24 - 27, 2022

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Lecture 19: Dynamic Programming I: Fibonacci, Shortest Paths

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From playlist MIT 6.006 Introduction to Algorithms, Fall 2011

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From playlist Lecture Collection | Machine Learning

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From playlist Solve a System of Equations Using Elimination | Hard

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Lightning Talks - Galen Cho, Christina Yu, Cyril Zhang, Laura Balzano, Max Simchovitz

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From playlist Mathematics

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From playlist MIT 6.006 Introduction to Algorithms, Spring 2020

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From playlist MIT 6.832 Underactuated Robotics, Spring 2009

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From playlist Data Structures & Algorithms [2022 Updated]

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What Is Dynamic Programming and How To Use It

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From playlist Dynamic Programming Tutorial Series

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