Inference Optimization

How 4 Bits Preserves 99% Quality: The Mathematics Behind LLM Quantization

A 70-billion parameter model requires 140 GB of GPU memory in FP16. A consumer RTX 4090 has 24 GB. This arithmetic gap defined the boundary between “enterprise AI” and “what you can run at home” until quantization mathematics cracked the code. The counterintuitive reality: reducing precision from 16 bits to 4 bits—a 75% compression—often preserves over 95% of model quality. Not through magic, but through a profound understanding of how neural networks encode information. ...

How Speculative Decoding Achieves 3x Faster LLM Inference Without Losing Quality: The Mathematics Behind Draft-Verify Acceleration

The sequential nature of autoregressive language models creates a fundamental bottleneck: generating each token requires a full forward pass through billions of parameters. A 70B parameter model processing a single token must load roughly 140GB of weights from memory (FP16), and memory bandwidth—not compute—becomes the limiting factor. This is why a 70B model might generate only 20-30 tokens per second on an H100, despite the GPU being capable of orders of magnitude more computation. ...