Mar 2026· arXiv.org· Vol abs/2603.28678· 1 citation· 41 references
Computer Science
TL;DR
PACE is introduced, a backpropagation-free continual test-time adaptation system that directly optimizes the affine parameters of normalization layers that achieves state-of-the-art accuracy across multiple benchmarks under continual distribution shifts, reducing runtime by over 50% compared to existing backpropagation-free methods.
Abstract
We introduce PACE, a backpropagation-free continual test-time adaptation system that directly optimizes the affine parameters of normalization layers. Existing derivative-free approaches struggle to balance runtime efficiency with learning capacity, as they either restrict updates to input prompts or require continuous, resource-intensive adaptation regardless of domain stability. To address these limitations, PACE leverages the Covariance Matrix Adaptation Evolution Strategy with the Fastfood projection to optimize high-dimensional affine parameters within a low-dimensional subspace, leading to superior adaptive performance. Furthermore, we enhance the runtime efficiency by incorporating an adaptation stopping criterion and a domain-specialized vector bank to eliminate redundant computation. Our framework achieves state-of-the-art accuracy across multiple benchmarks under continual distribution shifts, reducing runtime by over 50% compared to existing backpropagation-free methods.
Low-rank adaptation (LoRA) provides a parameter-efficient approach to continual learning, but its nominal rank can conceal a loss of effective adaptation capacity. We identify \emph{spectral plasticity collapse}: during sequential adaptation, update energy becomes concentrated in a small subset of singular modes, leavi...
Parameter-efficient fine-tuning (PEFT) reduces the cost of adapting foundation models by focusing training on a small parameter subset. Complementary to this idea, we introduce RoSA (Rotational Sparse Adaptation), which narrows adaptation to a subset of layers at a time. RoSA freezes lower layers close to the input thr...
Muhammad Azeem Lodhi, Chao Zhou, Rebekka Burkholz· 0 citations
Normalized Low-Rank Adaptation (NoRA) is introduced, a simple yet effective method that normalizes the down-projection matrices during training, improving standard LoRA without requiring repeated normalization throughout training.
Jia-Le Kang, Zi-Yin Yue, Zheng Zhan et al.· 0 citations
This work proposes Gradient-Coupled Continual Backpropagation (G-CBP), which modulates layer-wise replacement rates from normalized gradient norms and constrains early turnover through an Adaptive Moving Envelope, and identifies an empirical reconstruction–perturbation relationship.
Wei-Bang Zhou, Xiang-Sheng Huang, Xiao Yang et al.· Evolutionary Systematics· 0 citations
It is observed that, given layer inputs and activation gradients (costates), online gradient descent admits exact parallel scans for both forward evaluation and reverse backpropagation.
Few-Shot Class-Incremental Learning (FSCIL) requires models to continuously learn new classes from limited samples while retaining prior knowledge, under strict constraints on compute and memory. Existing approaches lie along a difficult trade-off: simple fine-tuning is computationally efficient but suffers from catast...
Eeham Khan, Abdulmoumen Al-Atrash, Ali Ayub· 0 citations
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