Questions tagged [deconvolution]

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Why does this test do not follow a chi-square distribution?

I am trying to run some simulations to implement a test that is supposed (according to the theory) to follow a chi-squared distribution with 1 degree of freedom. My setting is as follows: The data $...
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0 answers
32 views

Deconvolution of mixed signals from tumor data

I have N tumor-normal sample pairs from the same tissue of N subjects. For each sample, I have expression measurements for a fixed gene panel (M genes). The tumors are additionally also contaminated ...
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Recovering weights between neurons in a convolutional layer

Given a convolutional layer, I am interested in recovering the weight matrix $W$, where $w_{i,j}$ is the weight between neuron $i$ in the input layer and neuron $j$ in the output layer. I know that ...
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1 vote
1 answer
29 views

Estimate the Image Using Multi Many Realizations of Its Convolution with a Known Filters Using Wiener Filter

Suppose we have a corrupted image $Y = H*X + \epsilon$ that is formed by taking an image $X$, convolving it with a point-spread function $H$, and adding gaussian noise $\epsilon$. Then we know that ...
7 votes
1 answer
256 views

Distribution of i.i.d. random variables $X$ and $Y$ if $XY \sim \text{Beta}(\alpha, \beta)$

This is a follow-up to the question Square root of a Beta(1,1) random variable, which received two great answers. If $XY \sim \text{Beta}(\alpha, \beta)$, and $X$ and $Y$ are two independent ...
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4 votes
1 answer
262 views

Cellular deconvolution intuition

Cellular deconvolution yields the proportion of cell types from bulk tissue. After estimating the proportion of each cell type, why cannot one multiply the total expression by the proportion to get ...
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