Questions tagged [sparse-model]
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36 views
Constrained LASSO Problem - $ {L}_{1} $ Regularized Least Squares with Linear Equality Constraints
I have an optimization question.
I want to solve the following problem:
$$
\arg\min_S\frac{1}{2}\|s-c\|_2^2 +\lambda\|\Phi s\|_1 \mbox{ s.t. } As = 0
$$
in which $\Phi$ is the wavelet transform ...
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18 views
Implementation of PCA for hyper-spectral Image Processing
I have been studying the concept of PCA and its implementation for dimensionality reduction for more than 1 month. My goal is to classify a hyperspectral image using sparse representation by the ...
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4answers
128 views
Estimate peak width from a vector that is a superposition of unknown number of identical Gaussian peaks with different heights?
If you have a vector that is a superposition of an unknown number of identical Gaussian shaped peaks/impulses of unknown width (but all the same width) and different amplitudes (with Poisson or ...
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2answers
102 views
Is There a Sparse Representation for Noise?
Is there sparse representation for stationary noise and nonstationary noise?
How can I learn dictionary for each noise class?
(my mean of noise is noises with which speech signals are often ...
0
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2answers
161 views
Ifft through Matrix multiplication
I am still new to MATLAB, so apologies if I sound lazy to you. I am attempting to model a transformation as a set of matrix operations. I start with a vector, up-sample it by $U$ (up-sampling rate), ...
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19 views
estimating a k-sparse signal with OMP algorithm
I's trying to solve the attached equation using OMP algorithm.
In this equation I already know the sparsity level and the stopping rule(epsilon) that is noise power. also the dictionary matrix(Phi*...
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2answers
139 views
How to make the impulse response sparse? How does one know that the channel is sparse?
I am new to sparse channel estimation algorithms and reading research articles. One such paper is blind sparse channel estimation using a modification of the BOMP technique titled, "Blind Acoustic ...
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26 views
what is the difference between GOMP and BOMP?
Both group orthogonal matching pursuit (GOMP) and block orthogonal matching pursuit (BOMP) exploit the block sparsity to recover the signal. Is there any difference between these two algorithms?
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2answers
269 views
When can the impulse response become zero?
The article Efficient Use Of Sparse Adaptive Filters (Proc. Asilomar Conference, Khong et al., 2006) introduces adaptive filters for the estimation of channels or systems having a sparse impulse ...
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1answer
208 views
Why Sparse Priors Like Total Variation Opts to Concentrate Derivatives at a Small Number of Pixels?
When performing image deconvolution (deblurring), people often make use of priors to get rid of the illness of the problem. One very common prior is total variation, a sparse prior. Compared to ...
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3answers
657 views
DCT and Hard Thresholding
If I have an Image and i find the DCT and then apply hard thresholding on the coefficients and then IDCT then I have attenuated the noise. Can someone please explain in detail or point me to the ...
