Constrained optimization toolkit for PyTorch

Efficient Householder Transformation in PyTorch

Spectral Tensor Train Parameterization of Deep Learning Layers

LoMACS-SVDNet: PyTorch model for MIMO SVD (no QR/SVD/EVD), orthogonality via NOR, FFT gating, projected attention, structured pruning. Score 63 — 4th (Third Prize).

[IEEE Access 2022] Revisiting Orthogonality Regularization: A Study for Convolutional Neural Networks in Image Classification

In SIAM's Int. Autodiff Conf Oral ['24] Algos for differentiable LQ matrix decomposition for all matrix orders.

Co-clustering algorithms can seek homogeneous sub-matrices into a dyadic data matrix, such as a document-word matrix.

Plotting the loss of Orthogonality of a matrix at each iteration step due to four different methods of Orthogonalization

Multipath derivation of a formal algebraic framework — the Algebra of Four-Fold Distinction — which is then applied across physics, cognition, and AI alignment. Includes technical and subjective narratives.

Vectors, matrices, linear equations, Gaussian elimination, vector geometry with dot product and vector product, determinants, vector spaces, linear independence, bases, change of basis, linear transformations, the least-squares method, eigenvalues, eigenvectors, quadratic forms, orthogonality, inner-product space, Gram-Schmidt's method.

ML-driven adaptive quantum error mitigation for NISQ devices. XGBoost selector chooses between Linear ZNE and Richardson ZNE per circuit/noise regime. 64.3% accuracy, +11.9pp over fixed-method baseline. Preprint: doi.org/10.5281/zenodo.20140750

Orthogonality Checker in MATLAB. Useful for undergraduate students trying to check orthogonality of two functions

Lean 4 formalization of foundational transformation theory for Structural Explainability.

A set of codes in MATLAB for ODE reconstruction using least-square method and orthogonal polynomials

Model reduction of 2D diffusion equation

Applied Linear Algebra - 7th Semester

A multi-dimensional framework integrating the theory and mathematical proofs behind Complex Conformal Mappings with their geometric visualizations in MATLAB for 3 specimen functions: the transcendental exponential function e^z, the inversion reciprocal function 1/z and the periodic sine function sin(z).

A small C-library for Linear Algebra functions that do complex matrix calculations.

Basic and advanced linear algebra and numerical problems, numerical algorithms, and techniques with multiple applications in the field of Computer Science.