A framework based on the tensor train decomposition for working with multivariate functions and multidimensional arrays
Gradient-free optimization method for multivariable functions based on the low rank tensor train (TT) format and maximal-volume principle.
[SP 2024] A Novel Recursive Least-Squares Adaptive Method For Streaming Tensor-Train Decomposition With Incomplete Observations. In Elsevier Signal Processing, 2024.
[IEEE ICASSP 2021] "A fast randomized adaptive CP decomposition for streaming tensors". In 46th IEEE International Conference on Acoustics, Speech, & Signal Processing, 2021.
[Patterns 2023] Tracking Online Low-Rank Approximations of Higher-Order Incomplete Streaming Tensors. In Patterns (Cell Press) 2023.
A Python Package for Advanced Tensor Learning
Coupled matrix-tensor factorization for integrating EEG and ffMRI on the brain cortical surface with source reconstruction
Penalized tensor regression for whole brain connectivity.
A Formally Proven Polynomial-Scaling Safety Algorithm for High-Dimensional Robotic Systems (d ≥ 6).
TensoRAG: High-performance Python engine for vector compression & fast RAG search via ML-GSVD. Reduces RAM up to 91%, speeds up search 14x. Independent, private hobby project implementing the PhD findings of Dr. L. Khamidullina (TU Ilmenau); no official affiliation with the author or university.
This repository contains the software used in the paper "Empirical Evaluation of Four Tensor Decomposition Algorithms" (see four-tensor-decompositions.pdf).
[EUSIPCO 2022] "Robust Tensor Tracking With Missing Data Under Tensor-Train Format". In 30th European Signal Processing Conference, 2022.
[ICASSP 2026] Re-LL1: An Effective Regularized ( L , L , 1 ) -Tensor Decomposition Method For Video Background Modeling and Foreground Separation. In IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP)
[SSP 2023] A Novel Tensor Tracking Algorithm For Block-Term Decomposition of Streaming Tensors. In Proc. 22nd IEEE Statistical Signal Processing Workshop (SSP)
[ICASSP 2026] Robust Triple Tensor Decomposition. In IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP)
Tensor Granger Causality with t-Product Algorithm
Model identifiability pipeline using surrogate models trained on a latent space extracted by tensor decompositions.
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