Product-Aware Deterministic Rounding for Quantized Matrix Multiplication
cs.LG, cs.DS, cs.IT, math.IT
Submitted: 2026-09-11
Updated: 2026-09-11
Code: https://github.com/piyush314/gauge-floors
Terminology
Sources
- GPTQ: Accurate Post-Training Quantization for Generative Pre-trained Transformers
- The Geometry of LLM Quantization: GPTQ as Babai's Nearest Plane Algorithm
- The Lattice Geometry of Neural Network Quantization -- A Short Equivalence Proof of GPTQ and Babai's Algorithm
- DiscQuant: A Quantization Method for Neural Networks Inspired by Discrepancy Theory
- WUSH: Near-Optimal Adaptive Transforms for LLM Quantization
- Optimal Quantization for Matrix Multiplication
- Optimal Scalar Quantization for Matrix Multiplication: Closed-Form Density and Phase Transition
- Contraction-Gauge Preconditioning for Quantized Matrix Multiplication
- A Nuclear-Norm Lower Bound for Dithered Scalar Quantization of Matrix Products
- Number Balancing is as hard as Minkowski's Theorem and Shortest Vector
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