The real-time and accuracy of motion classification plays an essential role for the elderly or frail people in daily activities.

In this case, we specify in the encoding layer the number of features we want to get our input data reduced to (for this example 3).

We are given as input some data which has a distribution resembling the one of a roll (in a 3D space), and we can then unroll it so that to reduce our data into a two-dimensional space.Some examples of Manifold Learning algorithms are: Isomap, Locally Linear Embedding, Modified Locally Linear Embedding, Hessian Eigenmapping, etc…I will now walk you through how to implement LLE in our example.

Using ICA we could, for example, try to identify the two different independent components in the registration (the two different people).

If I wouldn’t have used non-linear activation functions, then the Autoencoder would have tried to reduce the input data using a linear transformation (therefore giving us a result similar to if we would have used PCA).We can now repeat a similar workflow as in the previous examples, this time using a simple Autoencoder as our Feature Extraction Technique.If you want to keep updated with my latest articles and projects [1] Diving Deeper into Dimension Reduction with Independent Components Analysis (ICA), Paperspace. In this paper, we present a comparison of fourteen methods to extract classification features from accelerometer signals. LDA uses therefore within classes and between classes as measures. If the number of features becomes similar (or even bigger!) The basic architecture of an Autoencoder can be broken down into 2 main components:If all the input features are independent of each other, then the Autoencoder will find particularly difficult to encode and decode to input data into a lower-dimensional space.Autoencoders can be implemented in Python using Keras API. In each of the following examples, the training time of each model will be printed out on the first line of each snippet for your reference.PCA is one of the most used linear dimensionality reduction technique. Feature Extraction aims to reduce the number of features in a dataset by creating new features from the existing ones (and then discarding the original features). The main difference between Autoencoders and other dimensionality reduction techniques is that Autoencoders use non-linear transformations to project data from a high dimension to a lower one.There exist different types of Autoencoders such as:In this example, we will start by building a basic Autoencoder (Figure 7).

In PCA, our original data is projected into a set of orthogonal axes and each of the axes gets ranked in order of importance.PCA is an unsupervised learning algorithm, therefore it doesn’t care about the data labels but only about variation. In previous work, various classification schemes and feature extraction methods have been used to identify different activities from a range of different datasets. This can lead in some cases to misclassification of data.In this example, I will first perform PCA in the whole dataset to reduce our data to just two dimensions and I will then construct a data frame with our new features and their respective labels.Using our newly created data frame, we can now plot our data distribution in a 2D scatter plot.We can now repeat this same process keeping instead 3 dimensions and creating animations using While using PCA, we can also explore how much of the original data variance was preserved using the Running again a Random Forest Classifier using the set of 3 features constructed by PCA (instead of the whole dataset) led to 98% classification accuracy while using just 2 features 95% accuracy.Additionally, using our two-dimensional dataset, we can now also visualize the decision boundary used by our Random Forest in order to classify each of the different data points.ICA is a linear dimensionality reduction method which takes as input data a mixture of independent components and it aims to correctly identify each of them (deleting all the unnecessary noise).

Accessed at: [2] Iterative Non-linear Dimensionality Reduction with Manifold Sculpting, ResearchGate. By continuing you agree to the Copyright © 2020 Elsevier B.V. or its licensors or contributors. When performing analysis of complex data one of the major problems stems from the number of variables involved.

Feature extraction involves reducing the number of resources required to describe a large set of data.

Feature extraction is a general term for methods of constructing com… Some of the main applications of t-SNE are Natural Language Processing (NLP), speech processing, etc…t-SNE works by minimizing the divergence between a distribution constituted by the pairwise probability similarities of the input features in the original high dimensional space and its equivalent in the reduced low dimensional space. Analysis with a large number of variables generally requires a large amount of memory and computation power, also it may cause a classification algorithm to overfitto training samples and generalize poorly to new samples. Accessed at: [4] Variational Autoencoders are Beautiful, Comp Three Inc. Steven Flores. Accessed at: Hands-on real-world examples, research, tutorials, and cutting-edge techniques delivered Monday to Thursday. PCA is able to do this by maximizing variances and minimizing the reconstruction error by looking at pair wised distances.

However, unlike the original ICA, one of the unsupervised learning methods, it is developed for classification problems by utilizing class information. This study aims to determine the optimal feature extraction and classification method for the activities of daily living (ADL).