How to compute the jacobian in derivatives in theano?

This recipe helps you to compute the jacobian in derivatives in theano.

Recipe Objective - How to compute the jacobian in derivatives in theano?

The term Jacobian refers to the tensor that contains the first partial derivatives of a function's output with regard to its inputs, as defined by Theano. Theano provides the theano.gradient.jacobian() macro, which does all of the calculations required to compute the Jacobian. We need to utilise scan to manually compute the Jacobian of a function y with respect to a parameter x. We compute the gradient of y[i] with respect to x by looping through the entries in y.

For more related projects -

/projects/data-science-projects/keras-deep-learning-projects
/projects/data-science-projects/neural-network-projects

Example -

# Import libraries
import theano
from theano import tensor

# Creating a vector
x = tensor.dvector('x')

# Creating 'y' expression
y = (2 * x ** 3)

# Computing derivative
Output, updates = theano.scan(lambda i, y, x : tensor.grad(y[i], x), sequences=tensor.arange(y.shape[0]), non_sequences=[y, x])

# Creating function
fun = theano.function([x], Output, updates=updates)

# Calling function
fun([3,3])

Output -
array([[54.,  0.],
       [ 0., 54.]])

In this way, we can compute the jacobian in derivatives in theano.

What Users are saying..

profile image

Jingwei Li

Graduate Research assistance at Stony Brook University
linkedin profile url

ProjectPro is an awesome platform that helps me learn much hands-on industrial experience with a step-by-step walkthrough of projects. There are two primary paths to learn: Data Science and Big Data.... Read More

Relevant Projects

Ensemble Machine Learning Project - All State Insurance Claims Severity Prediction
In this ensemble machine learning project, we will predict what kind of claims an insurance company will get. This is implemented in python using ensemble machine learning algorithms.

Learn to Build an End-to-End Machine Learning Pipeline - Part 1
In this Machine Learning Project, you will learn how to build an end-to-end machine learning pipeline for predicting truck delays, addressing a major challenge in the logistics industry.

MLOps Project to Deploy Resume Parser Model on Paperspace
In this MLOps project, you will learn how to deploy a Resume Parser Streamlit Application on Paperspace Private Cloud.

AWS MLOps Project to Deploy a Classification Model [Banking]
In this AWS MLOps project, you will learn how to deploy a classification model using Flask on AWS.

Build a Multi-Class Classification Model in Python on Saturn Cloud
In this machine learning classification project, you will build a multi-class classification model in Python on Saturn Cloud to predict the license status of a business.

Predict Churn for a Telecom company using Logistic Regression
Machine Learning Project in R- Predict the customer churn of telecom sector and find out the key drivers that lead to churn. Learn how the logistic regression model using R can be used to identify the customer churn in telecom dataset.

BERT Text Classification using DistilBERT and ALBERT Models
This Project Explains how to perform Text Classification using ALBERT and DistilBERT

Tensorflow Transfer Learning Model for Image Classification
Image Classification Project - Build an Image Classification Model on a Dataset of T-Shirt Images for Binary Classification

Deep Learning Project for Beginners with Source Code Part 1
Learn to implement deep neural networks in Python .

Build a Text Generator Model using Amazon SageMaker
In this Deep Learning Project, you will train a Text Generator Model on Amazon Reviews Dataset using LSTM Algorithm in PyTorch and deploy it on Amazon SageMaker.