The least-squares tag has no wiki summary.
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SVD regularization - ray 2D tomograpfy
Sunny day today, isn't it?
Please I would need help with my problem. I have written a program to do the 2D ray tomography, according to this paper:
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0
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1answer
34 views
Solver for sparse linearly-constrained non-linear least-squares [closed]
Reposted from stackoverflow:
Are there any algorithms or solvers for solving non-linear least-squares problems where the jacobian is known to always be sparse, and the solution is constrained with ...
3
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1answer
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Fitting one set of points to another by a rigid motion
I'm not really sure how to explain this problem clearly, so please bear with me.
I have a basis of 3 orthonormal unit vectors and a position, a standard 4x4 transform matrix in computer graphics.
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4
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2answers
91 views
Complex least-squares problem
Having a matrix $\mathbf{A} \in \mathcal{C}^{m\times n}$ I solve following least-squares problem $$Re(\mathbf{A}^H \mathbf{A})x=Re(\mathbf{A}^H\mathbf{b}).$$ If the matrix $\mathbf{A}$ was a real ...
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4answers
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parameters estimation
I have to estimate a parameter (K), but I don't know how I can do it. I think by a regression model (minimum least square?), but I'm not sure. The system is:
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3
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1answer
107 views
How do you formulate the linear least-squares method for radiometric calibration?
In Debevec and Malik (mentioned similarly in Forsyth and Ponce's Computer Vision: A Modern Approach) they highlight a method of solving the camera response function using linear least-squares.
We ...
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1answer
2k views
MATLAB Code Evaluation for Least Squares Regression (LSR) [closed]
Below is my own approach to implement the Least Squares Regression algorithm in MATLAB. Could you please take a look and tell me if it makes sense; if it does exactly what is supposed to do?
EDIT: ...
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3answers
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How to solve a small least-squares problem
This question is not very deep. Suppose I have a small rectangular matrix $A$, with number of rows and columns between $50$-$100$, respectively.
Given a right-hand side $b$, I want to solve the ...
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2answers
365 views
Solving a least squares problem with linear constraints in Python
I need to solve
\begin{alignat}{1}
& \min_{x}\|Ax - b\|^2_{2}, \\
\mathrm{s.t.} & \quad\sum_{i}x_{i} = 1, \\
& \quad x_{i} \geq 0, \quad \forall{i}.
\end{alignat}
I think it is a ...
7
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2answers
438 views
Newton-based methods in optimization vs. solving systems of nonlinear equations
I asked for clarification about a recent question about minpack, and got the following comment:
Any system of equations is equivalent to an optimization problem, which is why Newton-based methods ...
