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Learning-to-Link

This repository contains the source code for the paper Learning to Link by Maria-Florina Balcan, Travis Dick and Manuel Lang. We solve the problem of finding the best linkage strategy for bottom up clustering algorithms. Also, we learn a weighted combination of metrics to find the best feature representation of the given dataset.

Contributors

Running the code

We provide two scripts for running the experiments, one for the algorithm selection and the other for learning the metric. To create the executables, please use the CMakeLists.txt by running cmake . and make in the root directory.

Algorithm selection

./AlphaLinkage <argument list>

You can use the following command line arguments.

Argument Description
--help Display usage options
--batch Select the n-th set of the given number of points for each class
--folder Evaluate all csv files in the given folder
--input Evaluate the given csv file
--job Create an MNIST job (e.g. --job 0 will run labels 0,1,2,3,4)
--labels Select the CSV encoded labels only (e.g. --labels 1,2,4)
--majority Use Majority distance instead of Hamming distance
--noaverage Directly output the results without averaging them over multiple files
--output Path where the result will be stored
--points Number of points used for each class
--verbose Output the ranges to the console
--averagecomplete (Default) Interpolate between average and complete linkage
--singleaverage Interpolate between single and average linkage
--singlecomplete Interpolate between single and complete linkage

Example:

./AlphaLinkage --input ./input.csv --output ./output.csv --points 200 --singlecomplete

This command will read 200 points for each class from the file input.csv, interpolate between single and complete linkage, and output the results to output.csv.

Optimizing the Metric

./DistanceLearning <parameter_string> <input1.csv> <input2.csv>

The parameter string is a list of the four following characters.

Index Description
1 Cost function: 'm' for Majority or 'h' for Hamming cost
2 Linkage type: 's' for single linkage or 'c' for complete linkage
3 File type of the first file: 'd' for distance matrix, 'c' for cosine distance (raw features) or 'e' for the Euclidean distance (raw features)
4 File type of the second file: 'd' for distance matrix, 'c' for cosine distance (raw features) or 'e' for the Euclidean distance (raw features)

Example:

./DistanceLearning hcee input1.csv input2.csv

This example loads the two files input1.csv and input2.csv, learns the best metric using complete linkage and the Hamming cost, and output the results to the console. The pointwise distances are calculated using the Euclidean distances in both cases.