Add to ORKGIn this lecture I introduce two problems in complexity: determining the complexity of matrix multiplication, and the separation of algbraic complexity classes, especially VPs and VNP. Included at the end are notational conventions useful formulas. 1.1. Matrix multiplication. The workhorse of scientific computation is matrix multiplication
Matrix multiplication is commonly used in scientific computation. Given matrices A = (aij ) of size ...
This study examines the complexity of linear algebra. Complexity means how much work, or the number ...
This paper approaches computational complexity as the determination of the intrinsic difficulty of m...
Complexity theory deals with determining when there does or does not exist a faster algorithm than t...
The subject matter for this series of lectures is algebraic geometry invariant theory and computatio...
We explain the essence of K. Mulmuley and M. Sohoni, \Geometric Complexity Theory I: An Approach to ...
I will discuss the basic notions related to the complexity theory. The classes of P and NP problems ...
These notes are based on a series of lectures given at the Advanced Research Institute of Discrete A...
AbstractIn this primarily expository article, I describe geometric approaches to variants of P versu...
By Prof. Anderson’s guidance, I’ve implemented an algorithm that can reduce the computational comple...
AbstractThe action of commutativity and approximation is analyzed for some problems in Computational...
This study deals with complexity in both time and space. It offers an insight to complexity classes,...
This volume presents four machine-independent theories of computational complexity, which have been ...
International audienceWe discuss the geometry of orbit closures and the asymptotic behavior of Krone...
This is a survey primarily about determining the border rank of tensors, especially those relevant f...
Matrix multiplication is commonly used in scientific computation. Given matrices A = (aij ) of size ...
This study examines the complexity of linear algebra. Complexity means how much work, or the number ...
This paper approaches computational complexity as the determination of the intrinsic difficulty of m...
Complexity theory deals with determining when there does or does not exist a faster algorithm than t...
The subject matter for this series of lectures is algebraic geometry invariant theory and computatio...
We explain the essence of K. Mulmuley and M. Sohoni, \Geometric Complexity Theory I: An Approach to ...
I will discuss the basic notions related to the complexity theory. The classes of P and NP problems ...
These notes are based on a series of lectures given at the Advanced Research Institute of Discrete A...
AbstractIn this primarily expository article, I describe geometric approaches to variants of P versu...
By Prof. Anderson’s guidance, I’ve implemented an algorithm that can reduce the computational comple...
AbstractThe action of commutativity and approximation is analyzed for some problems in Computational...
This study deals with complexity in both time and space. It offers an insight to complexity classes,...
This volume presents four machine-independent theories of computational complexity, which have been ...
International audienceWe discuss the geometry of orbit closures and the asymptotic behavior of Krone...
This is a survey primarily about determining the border rank of tensors, especially those relevant f...
Matrix multiplication is commonly used in scientific computation. Given matrices A = (aij ) of size ...
This study examines the complexity of linear algebra. Complexity means how much work, or the number ...
This paper approaches computational complexity as the determination of the intrinsic difficulty of m...