# When to use k-means or K-medians?

## When to use k-means or K-medians?

If your distance is squared Euclidean distance, use k-means. If your distance is Taxicab metric, use k-medians. If you have any other distance, use k-medoids.

How does K mode work?

KMeans uses mathematical measures (distance) to cluster continuous data. It uses the dissimilarities(total mismatches) between the data points. The lesser the dissimilarities the more similar our data points are. It uses Modes instead of means.

Why K Medoid is preferred over K mean?

“It [k-medoid] is more robust to noise and outliers as compared to k-means because it minimizes a sum of pairwise dissimilarities instead of a sum of squared Euclidean distances.” Here’s an example: Suppose you want to cluster on one dimension with k=2.

### What is K in K mean?

The algorithm will run k-means multiple times (up to k times when finding k centers), so the time complexity is at most O(k) times that of k-means. The k-means algorithm implicitly assumes that the datapoints in each cluster are spherically distributed around the center.

What is the difference between K means and K-Medoids?

K-means attempts to minimize the total squared error, while k-medoids minimizes the sum of dissimilarities between points labeled to be in a cluster and a point designated as the center of that cluster. In contrast to the k -means algorithm, k -medoids chooses datapoints as centers ( medoids or exemplars).

What is K medians clustering in machine learning?

In statistics, k-medians clustering is a cluster analysis algorithm. It is a variation of k-means clustering where instead of calculating the mean for each cluster to determine its centroid, one instead calculates the median.

## What is cost in Kmodes?

Cost is defined as the sum of dissimilarities of all points with their closest centroids, not as a cost per cluster. (You have to look at the total picture instead of cluster-by-cluster, because if you leave 1 cluster out, the cost of the other changes because the data points would need to get re-assigned.)

Can K means be used for categorical data?

The k-Means algorithm is not applicable to categorical data, as categorical variables are discrete and do not have any natural origin. So computing euclidean distance for such as space is not meaningful.

What is the advantage of the K-Medoids clustering algorithm over the K means clustering Lloyd’s algorithm?

### Which clustering method is more robust K-Means or K-Medoids?

K- Medoids is more robust as compared to K-Means as in K-Medoids we find k as representative object to minimize the sum of dissimilarities of data objects whereas, K-Means used sum of squared Euclidean distances for data objects. And this distance metric reduces noise and outliers.

How do you select K in K-means?

Calculate the Within-Cluster-Sum of Squared Errors (WSS) for different values of k, and choose the k for which WSS becomes first starts to diminish. In the plot of WSS-versus-k, this is visible as an elbow. Within-Cluster-Sum of Squared Errors sounds a bit complex.

What is the objective of k-means and k-medians?

K-means and K-medians are clustering algorithms. The objective of a clustering algorithm is to partition the given dataset into the specified number of clusters, such that the instances within a single cluster are more similar to one another than to the instances belonging to another cluster. K-means and K-medians are unsupervised algorithms.

## Is there a k-Median or k-means clustering algorithm?

I know there is k-means clustering algorithm and k-median. One that uses the mean as the center of the cluster and the other uses the median. My question is: when/where to use which? Stack Exchange Network

Which is better k Median or per axis median?

k-medians minimizes absolute deviations, which equals Manhattan distance. In general, the per-axis median should do this. It is a good estimator for the mean, if you want to minimize the sum of absolute deviations (that is sum_i abs(x_i-y_i)), instead of the squared ones. It’s not a question about accuracy.

How are centroids shifted in k medians algorithm?

The K-medians algorithm shifts the cluster centroid to the position of the vector whose elements are equal to the median value of each dimension of all of the instances assigned to the cluster. Figure 3: Illustration of how the cluster centroids are shifted.