List questions from hessian-matrix

Published on 10 Mar 2019 - 5:21

57

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Positive semi-definiteness?

Published on 10 Mar 2019 - 21:49

151

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Hessian of quadratic form of function using Hadamard and Frobenius notation

Published on 11 Mar 2019 - 16:51

416

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Example of "The eigenvalues of data covariance matrix, $\Phi^T\Phi$ measure the curvature of the likelihood function."

Published on 25 Mar 2026 - 5:07

2.4k

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Gradient and Hessian of $g(x) = f(Ax + b)$

Published on 25 Mar 2026 - 1:28

2k

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When the Hessian matrix is indefinite, why does the point have to be a saddle point?

Published on 28 Mar 2019 - 20:26

135

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Step Size in Gradient Descent for a Non Convex Function with Vanishing Hessian

Published on 24 Mar 2026 - 2:52

114

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Stationary point of $(x_2 - x_1^2)^2 + x_1^5 $not local max/min

Published on 03 Apr 2019 - 7:16

182

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Proving that a function is convex $\Leftrightarrow f''(x)\geq0$

Published on 03 Apr 2019 - 15:51

54

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Multivariable calculus - Trying to understand if a stationary point is a saddle point, max or min

Published on 04 Apr 2019 - 18:04

2.1k

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Classifying the stationary points of $f(x, y) = 4xy-x^4-y^4 $

Published on 06 Apr 2019 - 9:59

61

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Hessian Matrix: Meaning is definite

Published on 07 Apr 2019 - 17:07

304

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Maximizing a function with dependent variables

Published on 11 Apr 2019 - 15:13

170

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What is the second-order Taylor expansion of a function $f : \mathbb C^n \to \mathbb R$?

Published on 22 Mar 2026 - 17:21

1k

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How do we know that the hessian will be positive definite for MLE of logistic regression parameters?

Published on 16 Apr 2019 - 10:49

List Question

$\mathbb{C}\mathbb{R}$-calculus for quadratic form

Positive semi-definiteness?

Hessian of quadratic form of function using Hadamard and Frobenius notation

Example of "The eigenvalues of data covariance matrix, $\Phi^T\Phi$ measure the curvature of the likelihood function."

Gradient and Hessian of $g(x) = f(Ax + b)$

When the Hessian matrix is indefinite, why does the point have to be a saddle point?

Step Size in Gradient Descent for a Non Convex Function with Vanishing Hessian

Stationary point of $(x_2 - x_1^2)^2 + x_1^5 $not local max/min

Proving that a function is convex $\Leftrightarrow f''(x)\geq0$

Multivariable calculus - Trying to understand if a stationary point is a saddle point, max or min

Classifying the stationary points of $f(x, y) = 4xy-x^4-y^4 $

Hessian Matrix: Meaning is definite

Maximizing a function with dependent variables

What is the second-order Taylor expansion of a function $f : \mathbb C^n \to \mathbb R$?

How do we know that the hessian will be positive definite for MLE of logistic regression parameters?

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