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LoRaQ: Optimized Low Rank Approximation for 4-bit Quantization

LoRaQ uses data-free optimization to quantize low-rank branches for 4-bit diffusion transformers, outperforming high-precision methods at equal overhead.

Yann Bouquet, Alireza Khodamoradi, Sophie Y Shen, Kristof Denolf, Mathieu Salzmann

Published 2026Sydney Poster Session 6 · Thu, Dec 10, 5:00 PM–8:00 PM local time · Hall 1-4arXiv ↗OpenReview ↗

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AI panel14/20reviewers recommend it
lenient 5/5
medium 8/10
strict 1/5
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LoRaQ earns its must-read status by closing the first fully sub-16-bit diffusion pipeline with a simple data-free calibration, yet its praise is undermined by missing standard benchmarks, unnamed metrics, and unverified latency claims for its quantized…

Abstract

Post-training quantization (PTQ) is essential for deploying large diffusion transformers on resource-constrained hardware, but aggressive 4-bit quantization significantly degrades generative performance. Low-rank approximation methods have emerged as a promising solution by appending auxiliary linear branches to restore performance. However, current state-of-the-art approaches assume these branches must retain high precision (W16A16) and rely on heavy, data-dependent calibration for initialization. We challenge both limitations with LoRaQ (Low-Rank Approximated Quantization), a simple, data-free calibration approach that optimizes quantization error compensation. By overcoming the need for high-precision branches, LoRaQ enables the first fully sub-16 bit pipeline, allowing the low-rank branch itself to be quantized. We demonstrate that, at equal memory overhead, LoRaQ outperforms the state-of-the-art methods in their native implementations on Pixart-$Σ$ and SANA. We also analyze mixed-precision configurations, showing that setups such as W8A8, W6A6, and W4A8 for the low-rank branch, alongside a W4 main layer, yield superior results while maintaining a fully quantized architecture compatible with modern mixed-precision hardware.