In this article, we are going to talk in detail about hierarchical clustering like Why we need hierarchical clustering?, How hierarchical clustering works?, Types of hierarchical clustering?, On which dataset it is applicable? . Before moving forward to hierarchal clustering, we should know why we are talking about hierarchical clustering? even when we have K Means clustering. If you have studied K Means then you know that this algorithm works on the distance to centroid method to create a cluster. Although it works well if you have well defined boundaries type dataset that has less outliers. In above picture, K Means is working well but when we move towards some complex datasets then the problem arises and K Means don't work properly. As you can see in below picture, K Means is failing in making clusters.

Abstract-- Visual action planning particularly excels in applications where the state of the system cannot be computed explicitly, such as manipulation of deformable objects, as it enables planning directly from raw images. Even though the field has been significantly accelerated by deep learning techniques, a crucial requirement for their success is the availability of a large amount of data. In this work, we propose the Augment-Connect-Explore (ACE) paradigm to enable visual action planning in cases of data scarcity. We build upon the Latent Space Roadmap (LSR) framework which performs planning with a graph built in a low dimensional latent space. In particular, ACE is used to i) Augment the available training dataset by autonomously creating new pairs of datapoints, ii) create new Figure 1: Overview of our ACE paradigm: (1) gaining new similar unobserved Connections among representations of states in the datapairs by Augmenting existing ones, (2) building unseen latent graph, and iii) Explore new regions of the latent space in a Connections in the latent space, and (3) efficiently Exploring new targeted manner.

In this paper, we propose a novel similarity measure and then introduce an efficient strategy to learn it by using only similar pairs for person verification. Unlike existing metric learning methods, we consider both the difference and commonness of an image pair to increase its discriminativeness. Under a pairconstrained Gaussian assumption, we show how to obtain the Gaussian priors (i.e., corresponding covariance matrices) of dissimilar pairs from those of similar pairs. The application of a log likelihood ratio makes the learning process simple and fast and thus scalable to large datasets. Additionally, our method is able to handle heterogeneous data well. Results on the challenging datasets of face verification (LFW and Pub-Fig) and person re-identification (VIPeR) show that our algorithm outperforms the state-of-the-art methods.