Operation of Sparse Matrix in Scipy
About Under Construction https://docs.scipy.org/doc/scipy/reference/sparse.html The document says that Code Snippet Block Matrix Solve Linear Equation with lsmr lsmr solves the…
Signalprocessing
kevin-tofu Comparison between Sparse Dense Matrix to Solve Linear Equation
Code Result N=10000 N=50000 N=10000000
Wiener-Khinchin Theorem
Introduction There is an interesting theorem from long ago that often appears in the fields of stochastic processes and signal…
The determinant of semi positive definite matrix
About There are some cases to compute determinants of covariance matrix such as marginal log likelihood in multi variate Gaussian…
Image, Kernel, Nullity
Image The image of a matrix describes what vectors are generated when the matrix acts on a set of vectors.…
QR Decomposition for Linear Equations
About The QR decomposition allows us to decompose any type of matrix A into QR. where is orthogonal matrix, and…
Log Normal and Half-Cauchy Distribution
About High-Dimensional Bayesian Optimization with Sparse Axis-Aligned Subspaces, so called SAASBO (https://arxiv.org/abs/2103.00349) uses Log Normal distribution and Half-Cauchy Distribution on…
Multi-Objective Optimization Problem in BoTorch
About There are some of functions for multi-objective optimization in BoTorch as toy problem. They inherit MultiObjectiveTestProblem class below which…
Distinguish Unitary U and Special Unitary SU
The difference The effect to Quantum Bit It causes global phase on qubit The representation using Hermite As we can…
The Bayesian Information Criterion (Comparison with VBM)
The Bayesian Information Criterion (BIC) is a measure used for statistical model selection. It helps to determine which model is…