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cs.LG2026
On the Spectral Geometry of Cross-Modal Representations: A Functional Map Diagnostic for Multimodal Alignment
Krisanu Sarkar
We study cross-modal alignment between independently pretrained vision (DINOv2) and language (all-MiniLM-L6-v2) encoders using the functional map framework from computational geome…
cs.LG2025
Adaptive Variance-Penalized Continual Learning with Fisher Regularization
Krisanu Sarkar
The persistent challenge of catastrophic forgetting in neural networks has motivated extensive research in continual learning . This work presents a novel continual learning framew…
cs.LG2025
Learning Beyond Euclid: Curvature-Adaptive Generalization for Neural Networks on Manifolds
Krisanu Sarkar
In this work, we develop new generalization bounds for neural networks trained on data supported on Riemannian manifolds. Existing generalization theories often rely on complexity…