GRACE-SVD: Guided Rank Allocation and Core Equalization SVD

Andra Siva Sai Teja, Pragya Paramita Sahu, Vibhor Dave, Joshua Mahadevan, Ankit Mahato, Debanjan Konar, Vikram Mupparthi


Abstract
Large Language Models (LLMs), with 7B+ parameters, remain difficult to deploy on edge devices due to memory latency constraints, despite increasing demand for personalized on-device agents with strong reasoning capabilities. Enabling such deployment, in current hardware specifications, requires aggressive compression while preserving downstream performance. Singular Value Decomposition (SVD)-based methods provide a promising reconstruction-aware compression paradigm, and recent trainable frameworks improve adaptive rank allocation under varying compression budgets. However, maintaining model quality under high compression remains challenging due to statistical mismatches between decomposed cores and compounded degradation from direct high-ratio compression.

We propose GRACE-SVD, a trainable SVD compression framework combining Guided Rank Allocation with a novel Core Equalization method that aligns decomposed core distributions while preserving reconstruction. We further introduce a progressive compression pipeline with intermediate equalization to mitigate performance collapse under aggressive compression. Across multiple model families and compression settings, our GRACE-SVD consistently outperforms existing SVD techniques, achieving stable compression even at 0.4 parameter ratio, with lower perplexity and stronger zero-shot performance under comparable or lower compression budgets.
Anthology ID:
2026.findings-emnlp.2136
Volume:
Findings of the Association for Computational Linguistics: EMNLP 2026
Month:
October
Year:
2026
Address:
Budapest, Hungary
Editors:
Hung-Yi Lee, Sunipa Dev, Jessy Li, Desmond Elliott
Venue:
Findings
SIG:
SIGDAT
Publisher:
Association for Computational Linguistics
Note:
Pages:
45569–45587
Language:
URL:
https://aclanthology.org/2026.findings-emnlp.2136/
DOI:
10.18653/2026.findings-emnlp.2136
Bibkey:
Cite (ACL):
Andra Siva Sai Teja, Pragya Paramita Sahu, Vibhor Dave, Joshua Mahadevan, Ankit Mahato, Debanjan Konar, and Vikram Mupparthi. 2026. GRACE-SVD: Guided Rank Allocation and Core Equalization SVD. In Findings of the Association for Computational Linguistics: EMNLP 2026, pages 45569–45587, Budapest, Hungary. Association for Computational Linguistics.
Cite (Informal):
GRACE-SVD: Guided Rank Allocation and Core Equalization SVD (Teja et al., Findings 2026)
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PDF:
https://aclanthology.org/2026.findings-emnlp.2136.pdf