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How to define a simple Convolutional Neural Network in PyTorch?

Shahid Akhtar Khan
Shahid Akhtar Khan
Updated on 25-Jan-2022 423 Views

To define a simple convolutional neural network (CNN), we could use the following steps −StepsFirst we import the important libraries and packages. We try to implement a simple CNN in PyTorch. In all the following examples, the required Python library is torch. Make sure you have already installed it.import torch import torch.nn as nn import torch.nn.functional as FOur next step is to build a simple CNN model. Here, we use the nn package to implement our model. For this, we define a class MyNet and pass nn.Module as the parameter.class MyNet(nn.Module):We need to create two functions inside the class to ...

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Find Square Root under Modulo p (Shanks Tonelli algorithm) in C++

sudhir sharma
sudhir sharma
Updated on 25-Jan-2022 762 Views

In this problem, we are given two values n and a prime number p. Our task is to find Square Root under Modulo p.Let's take an example to understand the problem, Input : n = 4, p = 11 Output : 9Solution ApproachHere, we will be using Tonelli-Shanks Algorithm.Tonelli-Shanks Algorithm is used in modular arithmetic to solve for a value x in congruence of the form x2 = n (mod p).The algorithm to find square root modulo using shank's Tonelli Algorithm −Step 1 − Find the value of $(n^{((p-1)/2)})(mod\:p)$, if its value is p -1, then modular square root is ...

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How to measure the Binary Cross Entropy between the target and the input probabilities in PyTorch?

Shahid Akhtar Khan
Shahid Akhtar Khan
Updated on 25-Jan-2022 1K+ Views

We apply the BCELoss() method to compute the binary cross entropy loss between the input and target (predicted and actual) probabilities. BCELoss() is accessed from the torch.nn module. It creates a criterion that measures the binary cross entropy loss. It is a type of loss function provided by the torch.nn module.The loss functions are used to optimize a deep neural network by minimizing the loss. Both the input and target should be torch tensors having the class probabilities. Make sure that the target is between 0 and 1. Both the input and target tensors may have any number of dimensions. ...

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torch.nn.Dropout() Method in Python PyTorch

Shahid Akhtar Khan
Shahid Akhtar Khan
Updated on 25-Jan-2022 1K+ Views

Making some of the random elements of an input tensor zero has been proven to be an effective technique for regularization during the training of a neural network. To achieve this task, we can apply torch.nn.Dropout(). It zeroes some of the elements of the input tensor.An element will be zeroed with the given probability p. It uses a Bernoulli distribution to take samples of the element being zeroed. It does not support complex-valued inputs.Syntaxtorch.nn.Dropout(p=0.5)The default probability of an element to zeroed is set to 0.5StepsWe could use the following steps to randomly zero some of the elements of an input ...

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How to rescale a tensor in the range [0, 1] and sum to 1 in PyTorch?

Shahid Akhtar Khan
Shahid Akhtar Khan
Updated on 25-Jan-2022 2K+ Views

We can rescale an n-dimensional input Tensor such that the elements lie within the range [0, 1] and sum to 1. To do this, we can apply the Softmax() function. We can rescale the n-dimensional input tensor along a particular dimension. The size of the output tensor is the same as the input tensor.Syntaxtorch.nn.Softmax(dim)Parametersdim – The dimension along which the Softmax is computed.StepsWe could use the following steps to crop an image at random location with given size −Import the required library. In all the following examples, the required Python library is torch. Make sure you have already installed it.import ...

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How to apply rectified linear unit function element-wise in PyTorch?

Shahid Akhtar Khan
Shahid Akhtar Khan
Updated on 25-Jan-2022 3K+ Views

To apply a rectified linear unit (ReLU) function element-wise on an input tensor, we use torch.nn.ReLU(). It replaces all the negative elements in the input tensor with 0 (zero), and all the non-negative elements are left unchanged. It supports only real-valued input tensors. ReLU is used as an activation function in neural networks.Syntaxrelu = torch.nn.ReLU() output = relu(input)StepsYou could use the following steps to apply rectified linear unit (ReLU) function element-wise −Import the required library. In all the following examples, the required Python library is torch. Make sure you have already installed it.import torch import torch.nn as nnDefine input tensor ...

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How to apply a 2D Average Pooling in PyTorch?

Shahid Akhtar Khan
Shahid Akhtar Khan
Updated on 25-Jan-2022 3K+ Views

We can apply a 2D Average Pooling over an input image composed of several input planes using the torch.nn.AvgPool2d() module. The input to a 2D Average Pooling layer must be of size [N, C, H, W] where N is the batch size, C is the number of channels, H and W are the height and width of the input image.The main feature of an Average Pooling operation is the filter or kernel size and stride. This module supports TensorFloat32.Syntaxtorch.nn.AvgPool2d(kernel_size)Parameterskernel_size – The size of the window to take an average over.Along with this parameter, there are some optional parameters also such ...

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Find Square Root under Modulo p (When p is in form of 4*i + 3) in C++

sudhir sharma
sudhir sharma
Updated on 25-Jan-2022 198 Views

In this problem, we are given two values n and a prime number p. Our task is to find Square Root under Modulo p (When p is in form of 4*i + 3). Here, p is of the form (4*i + 3) i.e. p % 4 = 3 for i > 1 and p being a prime number.Here are some numbers, 7, 11, 19, 23, 31...Let's take an example to understand the problem, Input : n = 3, p = 7 Output :Solution ApproachA simple solution to the problem is using a loop. We will loop from 2 to (p ...

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How to pad the input tensor boundaries with a constant value in PyTorch?

Shahid Akhtar Khan
Shahid Akhtar Khan
Updated on 25-Jan-2022 675 Views

The torch.nn.ConstantPad2D() pads the input tensor boundaries with constant value. The size of the input tensor must be in 3D or 4D in (C, H, W) or (N, C, H, W) format respectively. Where N, C, H, W represents the mini batch size, number of channels, height and width respectively. The padding is done along the height and width of the input tensor.It takes the size of padding (padding) and constant values (value) as the parameters. The size of padding may be an integer or a tuple. The padding may be the same for all boundaries or different for each ...

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How to apply a 2D Max Pooling in PyTorch?

Shahid Akhtar Khan
Shahid Akhtar Khan
Updated on 25-Jan-2022 5K+ Views

We can apply a 2D Max Pooling over an input image composed of several input planes using the torch.nn.MaxPool2d() module. The input to a 2D Max Pool layer must be of size [N, C, H, W] where N is the batch size, C is the number of channels, H and W are the height and width of the input image, respectively.The main feature of a Max Pool operation is the filter or kernel size and stride. This module supports TensorFloat32.Syntaxtorch.nn.MaxPool2d(kernel_size)Parameterskernel_size – The size of the window to take a max over.Along with this parameter, there are some optional parameters also ...

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