Author

Salman Ahmadi-Asl

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Preprint Oct 2026

Efficient Low-Rank Approximation of Quaternion Matrices via Adaptive Cross Approximation

The adaptive cross approximation (ACA) algorithm is a powerful tool for constructing low-rank matrix approximations using only a small subset of matrix entries. While extensively studied for real and complex matrices, its extension to quaternion algebras, remains largely unexplored. This paper presents the first compre...

Salman Ahmadi-Asl, Yang Zhang · 0 citations

#artificial intelligence Review Aug 2026

Tensor Methods for Language Models: From Token Representation to Training, Adaptation, Inference, Compression, and Interpretability

This survey provides a structured entry point to tensorized language models and clarifies when parameter savings can plausibly translate into memory efficiency, computational efficiency, or interpretability, and introduces a metric for the compression-realization gap between theoretical memory reduction and measured sy...

M. Tarasov, Salman Ahmadi-Asl, A. D. de Almeida et al. · 2 citations