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Neural approximation of Wasserstein distance via a universal architecture for symmetric and factorwise group invariant functions

Neural Information Processing Systems

Learning distance functions between complex objects, such as the Wasserstein distance to compare point sets, is a common goal in machine learning applications. However, functions on such complex objects (e.g., point sets and graphs) are often required to be invariant to a wide variety of group actions e.g.



Infusing Synthetic Data with Real-World Patterns for Zero-Shot Material State Segmentation

Neural Information Processing Systems

Minerals in rocks, sediment in soil, dust on surfaces, infection on leaves, stains on fabrics, and foam in liquids are some of these almost infinite numbers of states and patterns.