SPOT: A Framework for Selection of Prototypes Using Optimal Transport
| Autor: | Pratik Jawanpuria, Karthik S. Gurumoorthy, Bamdev Mishra |
|---|---|
| Rok vydání: | 2021 |
| Předmět: |
Distribution (number theory)
Property (programming) business.industry Computer science Machine learning computer.software_genre Deterministic approximation Key (cryptography) Probability distribution Artificial intelligence Greedy algorithm business computer Selection (genetic algorithm) Probability measure |
| Zdroj: | Machine Learning and Knowledge Discovery in Databases. Applied Data Science Track ISBN: 9783030865139 ECML/PKDD (4) |
| Popis: | In this work, we develop an optimal transport (OT) based framework to select informative prototypical examples that best represent a given target dataset. Summarizing a given target dataset via representative examples is an important problem in several machine learning applications where human understanding of the learning models and underlying data distribution is essential for decision making. We model the prototype selection problem as learning a sparse (empirical) probability distribution having the minimum OT distance from the target distribution. The learned probability measure supported on the chosen prototypes directly corresponds to their importance in representing the target data. We show that our objective function enjoys a key property of submodularity and propose an efficient greedy method that is both computationally fast and possess deterministic approximation guarantees. Empirical results on several real world benchmarks illustrate the efficacy of our approach. |
| Databáze: | OpenAIRE |
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