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## What does convolution mean in English?

1 : a form or shape that is folded in curved or tortuous windings the convolutions of the intestines. 2 : one of the irregular ridges on the surface of the brain and especially of the cerebrum of higher mammals.

## Is convolution invariant to translation?

Convolution provides translation equivariance meaning if an object in an image is at area A and through convolution a feature is detected at the output at area B, then the same feature would be detected when the object in the image is translated to A’.

**What is translation in CNN?**

Invariance to translation means that if we translate the inputs the CNN will still be able to detect the class to which the input belongs. Translational Invariance is a result of the pooling operation. Translational Invariance is a useful property where the exact location of the object is not required.

**Are convolutional neural networks translation invariant?**

Convolutional Neural Networks are not invariant to translation, but they can learn to be | OpenReview.

### What is base word of convolution?

Convoluted and convolution (a noun referring to a folded, winding shape, such as one of the ridges of the brain) are from Latin volvere, meaning “to roll.” Volvere has given English many words, but one of the following is NOT from volvere. It’s from Latin volare, meaning “to fly.”

### What is a intricacy?

English Language Learners Definition of intricacy : the quality or state of being complex or having many parts : the quality or state of being intricate. : something that is complex or detailed : something intricate. See the full definition for intricacy in the English Language Learners Dictionary.

**Is CNN an invariant?**

Deep Convolutional Neural Networks (CNNs) are empirically known to be invariant to moderate translation but not to rotation in image classification. This paper proposes a deep CNN model, called CyCNN, which exploits polar mapping of input images to convert rotation to translation.

**What is spatial translation?**

Laws of physics are translationally invariant under a spatial translation if they do not distinguish different points in space. According to Noether’s theorem, space translational symmetry of a physical system is equivalent to the momentum conservation law.

## What is Equivariance and invariance?

The equivariance allows the network to generalise edge, texture, shape detection in different locations. The invariance allows precise location of the detected features to matter less. These are two complementary types of generalisation for many image processing tasks.

## Is CNN rotation invariant?

Unless your training data includes digits that are rotated across the full 360-degree spectrum, your CNN is not truly rotation invariant.

**How do you define convolution 1 marks?**

Explanation: The solution lies with the definition of convolution. Given a periodic signal x (t) having period T. When convolution of a periodic signal with period T occurs with itself, it will give the same period T. Laplace transform of the above function = \frac{1}{s^n} , where n is number of convolutions.

**What contortion means?**

twisted shape

contortion. / (kənˈtɔːʃən) / noun. the act or process of contorting or the state of being contorted. a twisted shape or position.

### What does the term convolution mean in mathematics?

In mathematics (in particular, functional analysis) convolution is a mathematical operation on two functions ( f and g) to produce a third function that expresses how the shape of one is modified by the other. The term convolution refers to both the result function and to the process of computing it.

### Which is a generalization of the operation of convolution?

Generalizations of convolution have applications in the field of numerical analysis and numerical linear algebra, and in the design and implementation of finite impulse response filters in signal processing. Computing the inverse of the convolution operation is known as deconvolution .

**How is convolution similar to the cross correlation operator?**

Convolution is similar to cross-correlation. For discrete, real-valued functions, they differ only in a time reversal in one of the functions. For continuous functions, the cross-correlation operator is the adjoint of the convolution operator.

**Is there any evidence of convolutions in the brain?**

No evidence of such convolutions was found in this study. The problem of the richness of the convolutions was much trickier. First they considered the qualitative structure of the brain; then they compared different areas and highlighted the form of the brain and measured cerebral convolutions.