Pure State Representation using density matrix
As we can see here (https://eye.kohei-kevin.com/2023/07/01/note-machine-learning-with-quantum-computers-2/), a pure state vector is represented as following But, if we use density matrix…
MachineLearning
kevin-tofu Note : Optimal Quantum Circuits for General Two-Qubit Gates
About Optimal Quantum Circuits for General Two-Qubit Gates Magic Basis Theorem 1 Theorem 3 Every two-qubit quantum gate in SO(4)…
Panoptic Quality (PQ)
About Panoptic Quality (PQ) is an evaluation metric for panoptic segmentation, designed to integrate and assess the quality of both…
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…
Ridge Regression
About Ridge regression is a linear regression method that estimates weight parameters based on a nonlinear function basis. Note that…
Pick up a sample from Multivariate Gaussian Distribution
About Pick up a sample from Multi-Variant Gaussian Distribution is sometimes important for applications like Gaussian Process. Multivariate Gaussian Distribution…
Cholesky and QR Decomposition
Cholesky Decomposition A positive definite Hermite matrix is decompose to lower triangular matrix L and its conjugate transpose matrix L*.…
Special Unitary Group SU(n)
About Special Unitary Group of degree (n) SU(n) refers to the n-dimensional case of the special unitary group, which plays…
Parameter-Shift Rule
About To optimize parameters, estimating gradients is quite important. Since the optimization is highly depending on gradient descent methods. In…
Explainable AI : GAUSSIAN PROCESS REGRESSION WITH LOCAL EXPLANATION
Reasoning the result from machine learning models is one of the most demanded task from business side since it is…