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arXiv · 2605.29987

MIC: Maximizing Informational Capacity in Adaptive Representations via Isotropic Subspace Alignment

Dang Nguyen Hong·Nhi Ngoc-Yen Nguyen·Huy-Hieu Pham
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Abstract

Although multi-scales representation learning enables elastic-dimension embeddings, nested subspaces often suffer from dimensional redundancy and spectral collapse. To address this, we introduce MIC, a framework that optimizes the geometric landscape of multi-granular embeddings through isotropic subspace alignment. MIC employs Soft Collapse Regularization (SCR) to mitigate redundancy between prefix and residual subspaces via cross-correlation penalties, alongside Spectral Isotropy Regularization (SIR) to ensure hyper-spherical uniformity in low-dimensional prefixes. By unifying these strategies through a self-distillation objective, MIC generates semantically dense representations that maintain high discriminative power. Our experiments demonstrate that MIC significantly outperforms standard baselines, particularly in high-compression scenarios where maintaining informational capacity is most critical.

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Dang Nguyen Hong, Nhi Ngoc-Yen Nguyen, Huy-Hieu Pham. 2026-05-31. MIC: Maximizing Informational Capacity in Adaptive Representations via Isotropic Subspace Alignment. https://arxiv.org/abs/2605.29987

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