Is Finer Better? The Limits of Microscaling Formats in Large Language Models

ICLR 2026 Conference SubmissionAnonymous Authors
microscalingfine-grainedFP4quantizationlow-precisionllm
Abstract:

Microscaling data formats leverage per-block tensor quantization to enable aggressive model compression with limited loss in accuracy. Unlocking their potential for efficient training and inference necessitates hardware-friendly implementations that handle matrix multiplications in a native format and adopt efficient error-mitigation strategies. Herein, we reported the emergence of a surprising behavior associated with microscaling quantization, whereas the output of a quantized model degrades as block size is decreased below a given threshold. This behavior clashes with the expectation that a smaller block size should allow for a better representation of the tensor elements. We investigate this phenomenon both experimentally and theoretically, decoupling the sources of quantization error behind it. Experimentally, we analyze the distributions of several Large Language Models and identify the conditions driving the anomalous behavior. Theoretically, we lay down a framework showing remarkable agreement with experimental data from pretrained model distributions and ideal ones. Overall, we show that the anomaly is driven by the interplay between narrow tensor distributions and the limited dynamic range of the quantized scales. Based on these insights, we propose the use of FP8 unsigned E5M3 as a novel hardware-friendly format for the scales in FP4 microscaling data types. We demonstrate that UE5M3 achieves comparable performance to the conventional FP8 unsigned E4M3 scales while obviating the need of global scaling operations on weights and activations.

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Overview

Overall Novelty Assessment

The paper investigates a counterintuitive phenomenon in microscaling quantization where model output degrades as block size decreases below a threshold, contrary to the expectation that finer granularity improves tensor representation. It resides in the 'Block Size and Dynamic Range Effects' leaf under 'Microscaling Format Design and Theoretical Analysis', sharing this leaf with only one sibling paper. This places the work in a relatively sparse research direction within the broader taxonomy of 21 papers across multiple branches, suggesting the specific focus on block-size anomalies represents an underexplored niche in microscaling theory.

The taxonomy reveals neighboring work in adjacent leaves: 'Empirical Evaluation of Microscaling Parameters' examines systematic design choices like data types and rounding modes, while 'Novel Microscaling Format Variants' proposes new format extensions. The paper's theoretical error-decoupling framework connects to the broader 'Microscaling Format Design and Theoretical Analysis' branch but diverges from purely empirical studies or hardware-focused implementations found in other branches. Its focus on fundamental error sources positions it between format design theory and the practical outlier-handling and mixed-precision strategies explored in sibling branches.

Among 30 candidates examined through semantic search and citation expansion, none clearly refute the three main contributions. The discovery of the quantization anomaly examined 10 candidates with zero refutable matches, as did the theoretical framework decoupling error sources and the FP8 unsigned E5M3 scale format proposal. This limited search scope suggests the specific combination of anomaly discovery, theoretical error decomposition, and format proposal appears novel within the examined literature, though the analysis does not claim exhaustive coverage of all potentially relevant prior work in microscaling quantization.

Taxonomy

Core-task Taxonomy Papers
21
3
Claimed Contributions
30
Contribution Candidate Papers Compared
0
Refutable Paper

Research Landscape Overview

Core task: Quantization error analysis in microscaling formats for large language models. The field organizes around several complementary branches that address different facets of reducing numerical precision while preserving model quality. Microscaling Format Design and Theoretical Analysis examines the fundamental properties of block-based scaling schemes, exploring how block size and dynamic range choices affect representational capacity, as seen in foundational work like Microscaling Formats[5] and extensions such as MX Plus[6]. Outlier-Aware Quantization Techniques tackle the challenge of extreme activation values through methods like AWQ[1] and OPAL[3], while Mixed-Precision and Hybrid Quantization Strategies blend different bit-widths across layers or operations, exemplified by MicroMix[7] and FGMP[8]. Post-Training Quantization Methods for Microscaling focus on calibration-based approaches that avoid retraining, Ultra-Low-Bit and Extreme Quantization pushes toward sub-4-bit representations, Hardware-Accelerated Microscaling Quantization targets efficient deployment on specialized accelerators like QServe[19], and Training-Time Microscaling Quantization investigates quantization-aware training as in Microscaling Training Study[2]. Recent work reveals active exploration of block granularity trade-offs and numerical stability boundaries. Studies like Microscaling FP4 Gap[17] and Super Microscaling[11] investigate how aggressive block scaling can introduce instabilities or accuracy degradation, while methods such as Paretoq[13] and Microscopiq[12] propose refined calibration strategies to mitigate these effects. Microscaling Limits[0] sits within the theoretical analysis branch alongside Microscaling Instabilities[21], focusing specifically on block size and dynamic range effects. Where Microscaling Instabilities[21] examines pathological behaviors under extreme scaling configurations, Microscaling Limits[0] emphasizes characterizing the fundamental error bounds and representational constraints imposed by different block granularities. This positioning complements hardware-oriented studies like Amxfp4[4] and post-training methods like PTQ Microscaling[10], offering a theoretical lens on the accuracy-efficiency frontier that these practical approaches navigate.

Claimed Contributions

Discovery and analysis of quantization anomaly in microscaling formats

The authors identify and experimentally demonstrate an unexpected phenomenon where reducing block size in microscaling quantization can increase rather than decrease quantization error, contrary to conventional expectations. This anomalous behavior, termed perplexity inversion, is shown to be model-dependent and driven by the interaction between narrow tensor distributions and quantized scaling factors.

10 retrieved papers
Theoretical framework decoupling quantization error sources

The authors develop a mathematical framework based on Normal distributions that separates and quantifies three distinct contributions to microscaling quantization error. This framework achieves remarkable agreement with experimental data and extends beyond FP4 elements with FP8 unsigned E4M3 scales to other quantization formats.

10 retrieved papers
FP8 unsigned E5M3 scale format proposal

The authors propose using FP8 unsigned E5M3 as a novel scale format for FP4 microscaling that repurposes an unused sign bit to extend the exponent range. This format achieves comparable or better performance than conventional FP8 unsigned E4M3 scales with per-tensor scaling, while avoiding the need for global scaling operations and introducing minimal hardware overhead.

10 retrieved papers

Core Task Comparisons

Comparisons with papers in the same taxonomy category

Contribution Analysis

Detailed comparisons for each claimed contribution

Contribution

Discovery and analysis of quantization anomaly in microscaling formats

The authors identify and experimentally demonstrate an unexpected phenomenon where reducing block size in microscaling quantization can increase rather than decrease quantization error, contrary to conventional expectations. This anomalous behavior, termed perplexity inversion, is shown to be model-dependent and driven by the interaction between narrow tensor distributions and quantized scaling factors.

Contribution

Theoretical framework decoupling quantization error sources

The authors develop a mathematical framework based on Normal distributions that separates and quantifies three distinct contributions to microscaling quantization error. This framework achieves remarkable agreement with experimental data and extends beyond FP4 elements with FP8 unsigned E4M3 scales to other quantization formats.

Contribution

FP8 unsigned E5M3 scale format proposal

The authors propose using FP8 unsigned E5M3 as a novel scale format for FP4 microscaling that repurposes an unused sign bit to extend the exponent range. This format achieves comparable or better performance than conventional FP8 unsigned E4M3 scales with per-tensor scaling, while avoiding the need for global scaling operations and introducing minimal hardware overhead.