# Questions tagged [convolution]

Convolution is a function-valued operation on two functions $f$ and $g$: $\int _{-\infty }^{\infty }f(\tau )g(t-\tau )d\tau$. Often used for obtaining the density of a sum of independent random variables. This tag should also be used for the inverse operation of deconvolution. DO NOT use this tag for convolutional neural networks.

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### Autoencoder - reconstructed image not matching the input image

I have trained a convolutional autoencoder on cifar10 dataset. The reconstruction loss on the test data is quite less (around 0.0225). However, the reconstructed training images do not look like ...
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### Solving an equation that involves convolution and batch normalization

Basically the equation is $$x = \mathrm{BN}(\mathrm{Conv}(z))$$ where the convolution operation uses SAME padding with stride $1$ ensuring that the input and output have the same size. The ...
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### CNN analysis help

http://scs.ryerson.ca/~aharley/vis/conv/ I'm trying to better understand the architecture in this CNN. After reading the paper here: http://scs.ryerson.ca/~aharley/vis/ the author says This ...
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### Why do people use Zero-Padding in Convolutional Neural Networks?

I am wondering why people usually pad with zeros instead of e.g., using the min-value. Zero-padding, in my opinion, makes sense if you have input images with a pixel range [0, 255] or [0, 1] (after ...
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### Why is the convolution of two box kernels a triangle kernel? [duplicate]

Can anyone show the mathematical steps proving $K_{box}*K_{box} = K_{triangle}$
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### Histogram of Subtraction of Underlying Values

I have histograms produced from two sets of data recording. One of background noise of values $X$ and another $Z$ with a signal of values $Y$ present such that $Z = X + Y$. How can I estimate a ...
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### Understanding TensorFlow' conv2d for multiple output channels

I'm trying to understand the convolution process better by applying conv2d to different inputs. However I get unexpected result by transforming 3x3 matrix from 1 to ...
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### Keras TimeSeries - Regression with negative values

I am trying to make regression tasks for time series, my data is like the below, i make window size of 10, and input feature as below, and target is the 5th column. as you see it has data of {70, 110, ...
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### Recurrent convolution evaluation in R [closed]

I want to compute the convolution of order 3 which is defined as follows: So first I compute the convolution of order 2 (this I can do properly). My problem is: how can I keep the convolution of ...
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### 1x1 convolution for inception module

When understanding inception module, I once saw the following statement from an online post. What's the calculation underline the "...
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### Deep learning evaluation result

A CNN model in Keras gave me the following result. Code: ...
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### Normalization of convolution kernel

I am trying to smooth a noisy one-dimensional physical signal, y, while retaining correspondence between the signal's amplitude and its units. I'm applying a ...