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abstract indexed · arXiv 2609.29800 · updated 2026-10-18

Adaptive Fisher-Whitened Cross-Covariance for Low-Resource Speech Recognition

First page of Adaptive Fisher-Whitened Cross-Covariance for Low-Resource Speech Recognition
From the original paper · arXiv 2609.29800Page 1. Select the image to read the PDF.

The method replaces generic LoRA adapters with a Fisher-whitened cross-covariance (FCCA) subspace derived from downstream task data, optionally with asymmetric cross-layer coupling (AC-FCCA) and adaptive per-matrix rank reallocation (AR-FCCA) under a fixed budget. Cost is a one-time covariance/Fisher estimation pass over task data plus whitened eigendecomposition per adapted layer, with no increase in trainable parameters or inference latency relative to LoRA. It can fail when downstream data is too scarce for stable covariance and Fisher estimation, when the task-informed subspace does not transfer across languages, and because results are demonstrated only on Whisper and Qwen3-ASR for ASR, so applicability to other modalities is unverified.

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test
research area
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technical change
Task-informed PEFT via FCCA for low-resource ASR
published
2026-09-24

For a 24 GB GPU practitioner fine-tuning existing speech models, this is a drop-in LoRA alternative with a plausible quality gain at equal parameter budget, but the benefit depends on having enough task data to estimate covariances reliably and is validated only in ASR, so workload-specific testing is warranted before adoption.

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    The method replaces generic LoRA adapters with a Fisher-whitened cross-covariance (FCCA) subspace derived from downstream task data, optionally with asymmetric cross-layer coupling (AC-FCCA) and adaptive per-matrix rank reallocation (AR-FCCA) under a fixed budget. Cost is a one-time covariance/Fisher estimation pass over task data plus whitened eigendecomposition per adapted layer, with no increase in trainable parameters or inference latency relative to LoRA. It can fail when downstream data is too scarce for stable covariance and Fisher estimation, when the task-informed subspace does not transfer across languages, and because results are demonstrated only on Whisper and Qwen3-ASR for ASR, so applicability to other modalities is unverified.

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  2. claim 02Paperraft inference

    FCCA is competitive with and usually outperforms trainable-parameter-budget-matched LoRA on low-resource languages; the adaptive-rank variant (AR-FCCA) gives the most consistent improvements with statistically significant gains in several settings, at the same parameter count. No absolute WER or multiplicative factor is reported in the abstract.

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