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The author claims that ternary decomposition performs as well as Q4_K_M quantization while using slightly more VRAM, and is fully ternary and PTQ without QAT.
ExTernD introduces an expanded-rank ternary decomposition for post-training LLM quantization, enabling accuracy approaching bf16 by using a factored representation with free inner rank. It matches Q4_K accuracy at 5.2-5.5 effective bits per weight on models like Gemma-4 and Qwen3.5.