Arithmetic circuit complexity

(IC 5.9) Computational complexity of arithmetic coding

Arithmetic coding is linear time in the length of the source message and the encoded message. Since the encoded message length is near optimal on average, the expected time is near optimal. A playlist of these videos is available at: http://www.youtube.com/playlist?list=PLE125425EC837021

From playlist Information theory and Coding

(IC 5.12) Finite-precision arithmetic coding - Setup

Pre-defining the quantities that will be needed in the finite-precision algorithm. A playlist of these videos is available at: http://www.youtube.com/playlist?list=PLE125425EC837021F

From playlist Information theory and Coding

Compare Algorithm Complexity Given The Execution Time as a Function

This video explains how to use a limit at infinity to compare the complexity (growth rate) of two functions. http://mathispower4u.com

From playlist Additional Topics: Generating Functions and Intro to Number Theory (Discrete Math)

(IC 5.6) Encoder for arithmetic coding (infinite-precision)

Pseudocode for the arithmetic coding algorithm, assuming addition and multiplication can be done exactly (i.e. with infinite precision). Later we modify this to work with finite precision. A playlist of these videos is available at: http://www.youtube.com/playlist?list=PLE125425EC837

From playlist Information theory and Coding

Determine a Time Complexity of Code Using Big-O Notation: O(1), O(n), O(n^2)

This video explains how to determine the time complexity of given code. http://mathispower4u.com

From playlist Additional Topics: Generating Functions and Intro to Number Theory (Discrete Math)

(IC 5.5) Rescaling operations for arithmetic coding

Certain rescaling operations are convenient for the infinite-precision algorithm, and are critical for the finite-precision algorithm. A playlist of these videos is available at: http://www.youtube.com/playlist?list=PLE125425EC837021F

From playlist Information theory and Coding

Reconstruction of arithmetic circuits by Chandan Saha

Discussion Meeting Workshop on Algebraic Complexity Theory ORGANIZERS: Prahladh Harsha, Ramprasad Saptharishi and Srikanth Srinivasan DATE: 25 March 2019 to 29 March 2019 VENUE: Madhava Lecture Hall, ICTS Bangalore Algebraic complexity aims at understanding the computational aspects o

From playlist Workshop on Algebraic Complexity Theory 2019

What is an arithmetic sequence

👉 Learn about sequences. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. There are many types of sequence, among which are: arithmetic and geometric sequence. An arithmetic sequence is a sequence in which

From playlist Sequences

Learn to use summation notation for an arithmetic series to find the sum

👉 Learn how to find the partial sum of an arithmetic series. A series is the sum of the terms of a sequence. An arithmetic series is the sum of the terms of an arithmetic sequence. The formula for the sum of n terms of an arithmetic sequence is given by Sn = n/2 [2a + (n - 1)d], where a is

From playlist Series

Monotone Arithmetic Circuit Lower Bounds Via Communication Complexity - Arkadev Chattopadhyay

Computer Science/Discrete Mathematics Seminar I Topic: Monotone Arithmetic Circuit Lower Bounds Via Communication Complexity Speaker: Arkadev Chattopadhyay Affiliation: Tata Institute of Fundamental Research Date: February 15, 2021 For more video please visit http://video.ias.edu

From playlist Mathematics

The Correlation of Multiplicative Characters with Polynomials over Finite Fields - Swastik Kopparty

Swastik Kopparty Member, School of Mathematics April 22, 2011 This talk will focus on the complexity of the cubic-residue (and higher-residue) characters over GF(2^n) , in the context of both arithmetic circuits and polynomials. We show that no subexponential-size, constant-depth arithmet

From playlist Mathematics

The Complexity of the Non-commutative Determinant - Srikanth Srinivasan

The Complexity of the Non-commutative Determinant Srikanth Srinivasan Institute for Advanced Study October 11, 2010 I will talk about the computational complexity of computing the noncommutative determinant. In contrast to the case of commutative algebras, we know of (virtually) no efficie

From playlist Mathematics

Some closure results for polynomial factorization - Mrinal Kumar

Computer Science/Discrete Mathematics Seminar II Topic: Some closure results for polynomial factorization Speaker: Mrinal Kumar Affiliation: Harvard University Date: Febuary 20, 2018 For more videos, please visit http://video.ias.edu

From playlist Mathematics

Garnet Chan - Arithmetic tensor networks and integration - IPAM at UCLA

Recorded 26 January 2022. Garnet Chan of the California Institute of Technology presents "Arithmetic tensor networks and integration" at IPAM's Quantum Numerical Linear Algebra Workshop. Abstract: I will discuss how to perform arithmetic with tensor networks and the consequences for the in

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

A PSPACE construction of a hitting set for the closure of small algebraic circuits - Amir Shpilka

Computer Science/Discrete Mathematics Seminar II Topic: A PSPACE construction of a hitting set for the closure of small algebraic circuits Speaker: Amir Shpilka Affiliation: Tel Aviv University Date: December 12, 2017 For more videos, please visit http://video.ias.edu

From playlist Mathematics

Classifying Polynomials from a Computational Perspective by Manindra Agrawal

ICTS Colloquium Title : Classifying Polynomials from a Computational Perspective Speaker : Manindra Agrawal, Indian Institute of Technology, Kanpur Date : Monday, June 10, 2019 Time : 3:00

From playlist ICTS Colloquia

Stanford Seminar - Highly optimized quantum circuits synthesized via data-flow engines

Peter Rakyta, Department of Physics of Complex Systems at Eötvös Loránd University November 9, 2022 The formulation of quantum programs in terms of the fewest number of gate operations is crucial to retrieve meaningful results from the noisy quantum processors accessible these days. In th

From playlist Stanford EE380-Colloquium on Computer Systems - Seminar Series

Systems of linear equations -- Elementary Linear Algebra

This lecture is on Elementary Linear Algebra. For more see http://calculus123.com.

From playlist Elementary Linear Algebra

Automated Design Using Darwinian Evolution and Genetic Programming

(February 18, 2009) John Koza describes an automated "What You Want Is What You Get" process for designing complex structures based on the principles of natural selection, sexual recombination, and developmental biology. Stanford University: http://www.stanford.edu/ Stanford School of En

From playlist Engineering