AlphaEvolve is an LLM-orchestrated evolutionary coding agent that discovered a 4x4 complex matrix multiplication algorithm using 48 scalar multiplications, the first improvement over Strassen's algorithm in 56 years, plus optimizations for Google data centers and hardware.
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Exploits special structural features in tensor decompositions to lower the matrix multiplication exponent for 6x6 matrices from 2.8075 to 2.8019.
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AlphaEvolve: A coding agent for scientific and algorithmic discovery
AlphaEvolve is an LLM-orchestrated evolutionary coding agent that discovered a 4x4 complex matrix multiplication algorithm using 48 scalar multiplications, the first improvement over Strassen's algorithm in 56 years, plus optimizations for Google data centers and hardware.
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Exploiting the Structure in Tensor Decompositions for Matrix Multiplication
Exploits special structural features in tensor decompositions to lower the matrix multiplication exponent for 6x6 matrices from 2.8075 to 2.8019.