๐ŸŽฏ The Problem We Solve

Large language models are expensive to run:

  • โŒ Attention computation is quadratic in memory O(Nยฒ)
  • โŒ LayerNorm + GELU use separate kernels (wasted overhead)
  • โŒ Models are too large to deploy (FP32 = 4GB per 1B params)
  • โŒ Matrix operations waste memory bandwidth

Our Solution: 4 custom CUDA kernels optimized for speed and memory.

What's the Problem?

Standard attention computes a sequence_length ร— sequence_length matrix in memory.

  • For 4K token context: 16M ร— 4 bytes = 64MB just for attention scores!
  • Multiple passes through global memory = slow

How We Fixed It

Flash Attention computes attention in blocks to maximize cache reuse:

  1. Load Q, K, V tiles into fast shared memory
  2. Compute attention block-wise
  3. Use online softmax to avoid storing intermediate results
  4. Result: 90% less memory, 9.4x faster
128 2048
32 128

๐Ÿ“Š Summary of Optimizations

Operation Problem Solution Speedup
Flash Attention O(Nยฒ) memory Block-wise computation 9.4x
LayerNorm+GELU 2 kernels, 2 reads Single fused kernel 1.8x
Quantization 4GB models INT8 compression 75% smaller
GEMM Poor bandwidth Shared memory tiling 2-5x

๐Ÿ”— Resources

Built with โค๏ธ for GPU optimization. Running on Nvidia RTX Pro 6000 with real-time benchmarks.