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An short introduction about Pytorch and about the chosen functions.

Pytorch->PyTorch is an open source machine learning library based on the Torch library, used for applications such as computer vision and natural language processing, primarily developed by Facebook's AI Research lab. It is free and open-source software released under the Modified BSD license.

Some functions are-:

  • torch.combinations
  • torch.as_tensor
  • torch.complex
  • torch.linspace
  • torch.where(condition, x, y)

Before we begin, let's install and import PyTorch

# Uncomment and run the appropriate command for your operating system, if required

# Linux / Binder
# !pip install numpy torch==1.7.0+cpu torchvision==0.8.1+cpu torchaudio==0.7.0 -f https://download.pytorch.org/whl/torch_stable.html

# Windows
!pip install numpy torch==1.7.0+cpu torchvision==0.8.1+cpu torchaudio==0.7.0 -f https://download.pytorch.org/whl/torch_stable.html

# MacOS
# !pip install numpy torch torchvision torchaudio
Looking in links: https://download.pytorch.org/whl/torch_stable.html Requirement already satisfied: numpy in /usr/local/lib/python3.6/dist-packages (1.18.5) Collecting torch==1.7.0+cpu Downloading https://download.pytorch.org/whl/cpu/torch-1.7.0%2Bcpu-cp36-cp36m-linux_x86_64.whl (159.3MB) |████████████████████████████████| 159.3MB 82kB/s Collecting torchvision==0.8.1+cpu Downloading https://download.pytorch.org/whl/cpu/torchvision-0.8.1%2Bcpu-cp36-cp36m-linux_x86_64.whl (11.8MB) |████████████████████████████████| 11.8MB 379kB/s Collecting torchaudio==0.7.0 Downloading https://files.pythonhosted.org/packages/3f/23/6b54106b3de029d3f10cf8debc302491c17630357449c900d6209665b302/torchaudio-0.7.0-cp36-cp36m-manylinux1_x86_64.whl (7.6MB) |████████████████████████████████| 7.6MB 6.2MB/s Requirement already satisfied: typing-extensions in /usr/local/lib/python3.6/dist-packages (from torch==1.7.0+cpu) (3.7.4.3) Requirement already satisfied: dataclasses in /usr/local/lib/python3.6/dist-packages (from torch==1.7.0+cpu) (0.8) Requirement already satisfied: future in /usr/local/lib/python3.6/dist-packages (from torch==1.7.0+cpu) (0.16.0) Requirement already satisfied: pillow>=4.1.1 in /usr/local/lib/python3.6/dist-packages (from torchvision==0.8.1+cpu) (7.0.0) Installing collected packages: torch, torchvision, torchaudio Found existing installation: torch 1.7.0+cu101 Uninstalling torch-1.7.0+cu101: Successfully uninstalled torch-1.7.0+cu101 Found existing installation: torchvision 0.8.1+cu101 Uninstalling torchvision-0.8.1+cu101: Successfully uninstalled torchvision-0.8.1+cu101 Successfully installed torch-1.7.0+cpu torchaudio-0.7.0 torchvision-0.8.1+cpu 
# Import torch and other required modules
import torch

Function 1 - torch.combinations(input, r=2, with_replacement=False)

This function computes combinations of length r of the given tensor input and returns a tensor of all those combinations.

Parameters->

  1. input (Tensor) – 1D vector.

  2. r (int, optional) – number of elements to combine (default = 2)

  3. with_replacement (boolean, optional) – whether to allow duplication in combination (default = False)

Return Type : Tensor

# Example 1 - working (change this)
a=[5,8,10,14]
tensor_a=torch.tensor(a)#it converst the list to a tensor using the torch.tensor function 
torch.combinations(tensor_a,r=3)
#torch.combinations(tensor_a,with_replacement=True)
tensor([[ 5,  8, 10],
        [ 5,  8, 14],
        [ 5, 10, 14],
        [ 8, 10, 14]])