User Royi

14

23

votes

4

answers

28k

views

Unbiased Estimator for a Uniform Variable Support

statistics

Mar 18 '19 at 3:20 Community♦ 1

7

11

votes

2

answers

5k

views

Orthogonal Projection onto the $ {L}_{1} $ Unit Ball

Mar 18 at 21:16 Royi 6,400

3

11

votes

3

answers

3k

views

Eigenvalues and Eigenvectors of $2 \times 2$ Matrix

linear-algebra matrices eigenvalues-eigenvectors

May 30 '13 at 17:18 J. M. isn't a mathematician 68.7k

5

9

votes

3

answers

442

views

Prove Inequality $\frac{\left(1-\alpha\right)\left(1+{\alpha}^{k}\right)}{\left(1+\alpha\right)\left(1-{\alpha}^{k}\right)}\geqslant\frac{1}{k}$

algebra-precalculus inequality

Sep 14 '19 at 9:03 Community♦ 1

3

8

votes

2

answers

10k

views

Maximum of the Variance Function for Given Set of Bounded Numbers

probability analysis statistics functions variance

Apr 10 at 18:00 Royi 6,400

8

7

votes

3

answers

4k

views

Orthogonal Projection onto the Unit Simplex

linear-algebra optimization convex-optimization matlab

Apr 20 at 4:23 madnessweasley 1,398

2

7

votes

1

answer

1k

views

Sum of Gaussian Variables

probability-theory

Feb 19 '13 at 23:59 Martin 7,461

3

4

votes

1

answer

775

views

Solving $ {L}_{1} $ Regularized Least Squares Over Complex Domain

linear-algebra optimization convex-optimization least-squares regularization

Oct 27 at 14:06 Royi 6,400

4

votes

2

answers

251

views

The Sub Gradient and the Proximal Operator of the of $ {L}_{2, 1} $ Norm (Mixed Norm)

linear-algebra multivariable-calculus convex-analysis convex-optimization proximal-operators

Mar 16 at 9:36 Royi 6,400

5

3

votes

3

answers

3k

views

Orthogonal Projection onto the $ {L}_{\infty} $ Unit Ball

linear-algebra optimization convex-optimization

Mar 20 at 16:50 Royi 6,400

3

votes

2

answers

5k

views

Maximum a Posteriori (MAP) Estimator of Exponential Random Variable with Uniform Prior

probability probability-theory probability-distributions estimation estimation-theory

Sep 13 '19 at 18:53 user704755 1

2

3

votes

2

answers

186

views

Projection onto the Set of Circulant Matrices

linear-algebra convex-analysis convex-optimization projection circulant-matrices

May 13 '18 at 11:16 Royi 6,400

2

votes

1

answer

197

views

Proximal Operator / Mapping of $ g \left( x \right) = {\left\| x \right\|}_{1} $ ($ {L}_{1} $ Norm) in the Complex Domain

linear-algebra complex-analysis convex-analysis convex-optimization proximal-operators

Mar 17 at 21:26 Royi 6,400

2

votes

0

answers

28

views

Levinson Recursion for Tall (Non Square) Toeplitz Matrices

linear-algebra optimization convex-optimization numerical-linear-algebra toeplitz-matrices

Jan 17 '20 at 20:34 Royi 6,400

3

2

votes

2

answers

6k

views

Pseudo Inverse Solution for Linear Equation System Using the SVD

linear-algebra

May 10 '18 at 19:02 dantopa 8,289

2

votes

1

answer

75

views

Number of Strings / Number with $ n $ Characters / Digits Built with $ k $ Size Alphabet with each Element of the Alphabet Appearing At Least Once

combinatorics discrete-mathematics

Mar 23 '18 at 11:21 Royi 6,400

2

votes

2

answers

368

views

Minimize $ {L}_{p} $ Norm Regularized with a Linear Term (Conjugate Function of the Norm Function)

linear-algebra optimization norm convex-optimization

Mar 15 '18 at 21:25 Royi 6,400

1

2

votes

3

answers

473

views

Maximum Eigenvalue of the Discrete Laplace Operator (Image Processing)

linear-algebra matrices eigenvalues-eigenvectors image-processing tridiagonal-matrices

Sep 18 '16 at 14:37 Rodrigo de Azevedo 1

3

2

votes

2

answers

955

views

Solving Optimization Problem (Orthogonal Projection) Using Projected Sub Gradient / Dual Projected Subgradient

optimization convex-optimization nonlinear-optimization

Jun 11 '16 at 14:35 p.s. 5,263

2

votes

1

answer

2k

views

Uniform White Noise

probability

Dec 14 '10 at 0:02 Shai Covo 22.8k

1

vote

2

answers

893

views

Bilinear Optimization Problem

optimization

Jan 2 at 19:54 Royi 6,400

2

1

vote

1

answer

82

views

Proximal Operator / Proximal Mapping of the Huber Loss Function

optimization convex-optimization matlab proximal-operators robust-statistics

May 28 at 21:07 Zim 2,596

1

vote

1

answer

356

views

The Continuity of the Discrete Time Fourier Transform of Absolutely Summable Series

sequences-and-series discrete-mathematics fourier-analysis

Jun 1 '18 at 15:45 Royi 6,400

1

vote

1

answer

120

views

Prox Operator of the Projection to $\mathbb{R}_{+} $

linear-algebra optimization convex-analysis convex-optimization

Dec 11 '16 at 10:16 Royi 6,400

1

vote

1

answer

353

views

Properties of the Solution of Non Linear Least Squares

regression nonlinear-optimization least-squares

Aug 6 '16 at 17:02 Nick Alger 14.6k

1

vote

2

answers

1k

views

Diagonal Scaling of $ A \in {\mathbb{R}}^{2 \times 2} $ Positive Definite and Its Conditional Number

linear-algebra eigenvalues-eigenvectors

Nov 18 '15 at 15:58 Royi 6,400

2

1

vote

1

answer

1k

views

Minimization of Variational - Total Variation (TV) Deblurring

calculus optimization calculus-of-variations

Dec 16 '14 at 8:45 RRL 74.4k

1

vote

1

answer

2k

views

Estimating Joint Probability Density Function

probability probability-theory

Mar 3 '11 at 1:52 leonbloy 49.6k

0

votes

2

answers

2k

views

Minimize the Squared $ {L}_{2} $ Norm of a Vector With Linear Equality and Inequality Constraints

linear-algebra optimization convex-optimization nonlinear-optimization quadratic-programming

Nov 18 at 18:06 Community♦ 1

0

votes

1

answer

23

views

The Maximum a Posteriori Estimation (MAP) of Gaussian and Cauchy Model

optimization estimation maximum-likelihood parameter-estimation proximal-operators

Sep 6 at 12:33 Royi 6,400

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41 Questions

Unbiased Estimator for a Uniform Variable Support

Orthogonal Projection onto the $ {L}_{1} $ Unit Ball

Eigenvalues and Eigenvectors of $2 \times 2$ Matrix

Prove Inequality $\frac{\left(1-\alpha\right)\left(1+{\alpha}^{k}\right)}{\left(1+\alpha\right)\left(1-{\alpha}^{k}\right)}\geqslant\frac{1}{k}$

Maximum of the Variance Function for Given Set of Bounded Numbers

Orthogonal Projection onto the Unit Simplex

Sum of Gaussian Variables

Solving $ {L}_{1} $ Regularized Least Squares Over Complex Domain

The Sub Gradient and the Proximal Operator of the of $ {L}_{2, 1} $ Norm (Mixed Norm)

Orthogonal Projection onto the $ {L}_{\infty} $ Unit Ball

Maximum a Posteriori (MAP) Estimator of Exponential Random Variable with Uniform Prior

Projection onto the Set of Circulant Matrices

Proximal Operator / Mapping of $ g \left( x \right) = {\left\| x \right\|}_{1} $ ($ {L}_{1} $ Norm) in the Complex Domain

Levinson Recursion for Tall (Non Square) Toeplitz Matrices

Pseudo Inverse Solution for Linear Equation System Using the SVD

Number of Strings / Number with $ n $ Characters / Digits Built with $ k $ Size Alphabet with each Element of the Alphabet Appearing At Least Once

Minimize $ {L}_{p} $ Norm Regularized with a Linear Term (Conjugate Function of the Norm Function)

Maximum Eigenvalue of the Discrete Laplace Operator (Image Processing)

Solving Optimization Problem (Orthogonal Projection) Using Projected Sub Gradient / Dual Projected Subgradient

Uniform White Noise

Bilinear Optimization Problem

Proximal Operator / Proximal Mapping of the Huber Loss Function

The Continuity of the Discrete Time Fourier Transform of Absolutely Summable Series

Prox Operator of the Projection to $\mathbb{R}_{+} $

Properties of the Solution of Non Linear Least Squares

Diagonal Scaling of $ A \in {\mathbb{R}}^{2 \times 2} $ Positive Definite and Its Conditional Number

Minimization of Variational - Total Variation (TV) Deblurring

Estimating Joint Probability Density Function

Minimize the Squared $ {L}_{2} $ Norm of a Vector With Linear Equality and Inequality Constraints

The Maximum a Posteriori Estimation (MAP) of Gaussian and Cauchy Model