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# Is GMM better than k-means?

## Is GMM better than k-means?

K-Means and Gaussian Mixtures (GMs) are both clustering models. Many data scientist, however, tend to choose a more popular K-Means algorithm. Even if GMs can prove superior in certain clustering problems. In this article, we will see that both models offer a different performance in terms of speed and robustness.

## Why does K means clustering fail?

K-Means clustering algorithm fails to give good results when the data contains outliers, the density spread of data points across the data space is different and the data points follow non-convex shapes.

What are the main differences between k-means and the Dbscan clustering techniques list two differences?

Difference between K-Means and DBScan Clustering

S.No. K-means Clustering
1. Clusters formed are more or less spherical or convex in shape and must have same feature size.
2. K-means clustering is sensitive to the number of clusters specified.
3. K-means Clustering is more efficient for large datasets.

### Why GMM is superior to k-means?

k-means only considers the mean to update the centroid while GMM takes into account the mean as well as the variance of the data!

### Is k-means a special case of GMM?

Abstract. We show that k-means (Lloyd’s algorithm) is obtained as a special case when truncated variational EM approximations are applied to Gaussian mixture models (GMM) with isotropic Gaussians.

What is soft k?

Fuzzy clustering (also referred to as soft clustering or soft k-means) is a form of clustering in which each data point can belong to more than one cluster. Clusters are identified via similarity measures. These similarity measures include distance, connectivity, and intensity.

## What are the major drawbacks of K-means clustering?

The most important limitations of Simple k-means are: The user has to specify k (the number of clusters) in the beginning. k-means can only handle numerical data. k-means assumes that we deal with spherical clusters and that each cluster has roughly equal numbers of observations.

## Is Overfitting a problem in clustering?

Clustering is often formulated as a discrete optimization problem. The objective is to find, among all partitions of the data set, the best one according to some quality measure. We argue that the discrete optimization approach usually does not achieve this goal, and instead can lead to overfitting.

What are the 2 major components of Dbscan clustering?

In DBSCAN, clustering happens based on two important parameters viz.,

• neighbourhood (n) – cutoff distance of a point from (core point – discussed below) for it to be considered a part of a cluster.
• minimum points (m) – minimum number of points required to form a cluster.

### How is HDBScan better than Dbscan?

In addition to being better for data with varying density, it’s also faster than regular DBScan. Below is a graph of several clustering algorithms, DBScan is the dark blue and HDBScan is the dark green. At the 200,000 record point, DBScan takes about twice the amount of time as HDBScan.

### What is Expectation Maximization clustering?

EM is an iterative method which alternates between two steps, expectation (E) and maximization (M). For clustering, EM makes use of the finite Gaussian mixtures model and estimates a set of parameters iteratively until a desired convergence value is achieved. Iteratively refine the parameters with E and M steps.

Is k-means a special case of expectation maximization?

Mixtures of Gaussians and Expectation Maximization. The K-means algorithm turns out to be a special case of clustering with a mixture of Gaussians where all variances are equal (and covariances are 0 and mixture weights are equal, as we’ll see below): the underlying assumption is that clusters are essentially spherical …

## Which is an example of k-means clustering?

Look at Figure 1. Compare the intuitive clusters on the left side with the clusters actually found by k-means on the right side. The comparison shows how k-means can stumble on certain datasets. Figure 1: Ungeneralized k-means example.

## What are the advantages and disadvantages of k-means?

Clustering data of varying sizes and density. k-means has trouble clustering data where clusters are of varying sizes and density. To cluster such data, you need to generalize k-means as described in the Advantages section.

How does spectral clustering avoid the curse of dimensionality?

Figure 3: A demonstration of the curse of dimensionality. Each plot shows the pairwise distances between 200 random points. Spectral clustering avoids the curse of dimensionality by adding a pre-clustering step to your algorithm: Reduce the dimensionality of feature data by using PCA.

### How to generalize the k-means Gaussian mixture?

For information on generalizing k-means, see Clustering – K-means Gaussian mixture models by Carlos Guestrin from Carnegie Mellon University. Choosing k manually. Use the “Loss vs. Clusters” plot to find the optimal (k), as discussed in Interpret Results. Being dependent on initial values.