This paper addresses the problem of algorithm discov-ery, via evolutionary search, in the context of matrix multiplication. The traditional multiplication algorithm requires O(n3) multiplications for square matrices of or-der n. Strassen (Strassen 1969) discovered a re, cursive matrix multiplication algorithm requiring only seven multiplications at each level, resulting in a runtime of O(n/x7), or O(n2"81). We have been able to replicate this discovery using evolutionary search (Fogel 1995). The paper presents the representational schema, evalu-ation criteria, and evolution mechanisms employed ur-ing search. The most crucial decision was removing the determination of coefficients used to combine the product terms in the final addition ...
AbstractThe complexity of matrix multiplication has attracted a lot of attention in the last forty y...
Matrix multiplication is significant in a lot of scientific fields, such as mathematics, physics and...
Matrix multiplication is one of the most widely used operations in all computational fields of linea...
We present a parallel genetic algorithm for nding matrix multiplication algo-rithms. For 3 x 3 matri...
matician, announced a clever algorithm to reduce the asymptotic complexity of n × n matrix multiplic...
The efficient design of multiplierless implementations of constant matrix multipliers is challenged ...
Population-based search heuristics such as evolutionary algorithms or ant colony optimization have b...
Matrix multiplication is a basic operation of linear algebra, and has numerous applications to the t...
Many fast algorithms in arithmetic complexity have hierarchical or recursive structures that make ef...
Matrix multiplication is commonly used in scientific computation. Given matrices A = (aij ) of size ...
AbstractThe main purpose of this paper is to present a fast matrix multiplication algorithm taken fr...
Algorithm optimisation can be accomplished by an exhaustive search over alternative algorithms for p...
Matrix multiplication is an operation that produces a matrix from two matrices and its applications...
International audienceWe propose several new schedules for Strassen-Winograd's matrix multiplication...
By Prof. Anderson’s guidance, I’ve implemented an algorithm that can reduce the computational comple...
AbstractThe complexity of matrix multiplication has attracted a lot of attention in the last forty y...
Matrix multiplication is significant in a lot of scientific fields, such as mathematics, physics and...
Matrix multiplication is one of the most widely used operations in all computational fields of linea...
We present a parallel genetic algorithm for nding matrix multiplication algo-rithms. For 3 x 3 matri...
matician, announced a clever algorithm to reduce the asymptotic complexity of n × n matrix multiplic...
The efficient design of multiplierless implementations of constant matrix multipliers is challenged ...
Population-based search heuristics such as evolutionary algorithms or ant colony optimization have b...
Matrix multiplication is a basic operation of linear algebra, and has numerous applications to the t...
Many fast algorithms in arithmetic complexity have hierarchical or recursive structures that make ef...
Matrix multiplication is commonly used in scientific computation. Given matrices A = (aij ) of size ...
AbstractThe main purpose of this paper is to present a fast matrix multiplication algorithm taken fr...
Algorithm optimisation can be accomplished by an exhaustive search over alternative algorithms for p...
Matrix multiplication is an operation that produces a matrix from two matrices and its applications...
International audienceWe propose several new schedules for Strassen-Winograd's matrix multiplication...
By Prof. Anderson’s guidance, I’ve implemented an algorithm that can reduce the computational comple...
AbstractThe complexity of matrix multiplication has attracted a lot of attention in the last forty y...
Matrix multiplication is significant in a lot of scientific fields, such as mathematics, physics and...
Matrix multiplication is one of the most widely used operations in all computational fields of linea...