July 2nd, 2024

Beating NumPy's matrix multiplication in 150 lines of C code

Aman Salykov's blog delves into high-performance matrix multiplication in C, surpassing NumPy with OpenBLAS on AMD Ryzen 7700 CPU. Scalable, portable code with OpenMP, targeting Intel Core and AMD Zen CPUs. Discusses BLAS, CPU performance limits, and hints at GPU optimization.

Read original articleLink Icon
Beating NumPy's matrix multiplication in 150 lines of C code

This blog post by Aman Salykov explores implementing high-performance matrix multiplication in C code to outperform NumPy's matrix multiplication using OpenBLAS. The implementation follows the BLIS design, achieving over 1 TFLOPS on an AMD Ryzen 7700 CPU. The code is scalable, portable, and parallelized with OpenMP directives. It targets modern Intel Core and AMD Zen CPUs but requires fine-tuning for optimal performance. The post discusses the importance of matrix multiplication in neural networks, the use of BLAS libraries like OpenBLAS, and the theoretical limits of CPU performance using SIMD extensions like AVX and FMA. It compares a naive matrix multiplication implementation in C to optimized kernel-based approaches used in libraries like BLIS. The post provides insights into optimizing matrix multiplication for different CPU architectures and hints at a follow-up post on optimizing matrix multiplication for GPUs.

Related

NUMA Emulation Yields "Significant Performance Uplift" to Raspberry Pi 5

NUMA Emulation Yields "Significant Performance Uplift" to Raspberry Pi 5

Engineers at Igalia developed NUMA emulation for ARM64, enhancing Raspberry Pi 5 performance. Linux kernel patches showed 18% multi-core and 6% single-core improvement in Geekbench tests. The concise code may be merged into the mainline kernel for broader benefits.

Researchers upend AI status quo by eliminating matrix multiplication in LLMs

Researchers upend AI status quo by eliminating matrix multiplication in LLMs

Researchers innovate AI language models by eliminating matrix multiplication, enhancing efficiency. A MatMul-free method reduces power consumption, costs, and challenges the necessity of matrix multiplication in high-performing models.

AMD MI300x GPUs with GEMM tuning improves throughput and latency by up to 7.2x

AMD MI300x GPUs with GEMM tuning improves throughput and latency by up to 7.2x

Nscale explores AI model optimization through GEMM tuning, leveraging rocBLAS and hipBLASlt for AMD MI300x GPUs. Results show up to 7.2x throughput increase and reduced latency, benefiting large models and enhancing processing efficiency.

AMD MI300x GPUs with GEMM tuning improves throughput and latency by up to 7.2x

AMD MI300x GPUs with GEMM tuning improves throughput and latency by up to 7.2x

Nscale explores GEMM tuning impact on AI model optimization, emphasizing throughput and latency benefits. Fine-tuning parameters and algorithms significantly boost speed and efficiency, especially on AMD GPUs, showcasing up to 7.2x throughput improvement.

Convolutions, Fast Fourier Transform and Polynomials

Convolutions, Fast Fourier Transform and Polynomials

Alvaro Revuelta explains efficient polynomial multiplication using Convolution, Fast Fourier Transform (FFT), and Python. FFT reduces complexity from $O(n^2)$ to $O(nlogn), showcasing significant efficiency gains for high-degree polynomials.

Link Icon 0 comments