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GlanceNets: Interpretable, Leak-proof Concept-basedModels

Neural Information Processing Systems

One reason is that the notion of interpretability is notoriously challenging to pin down, andtherefore existing CBMs rely ondifferent heuristics--such asencouraging theconcepts tobe sparse [1], orthonormal to each other [5], or match the contents of concrete examples [3]--with unclear properties and incompatible goals.




ModelSelectionforBayesianAutoencoders: SupplementaryMaterial

Neural Information Processing Systems

In this section, we review some key results on the Wasserstein distance. Wpp Rฯ€(t,ฮธi),Rฯ(t,ฮธi), (4) where the approximation comes from using Monte-Carlo integration by samplingฮธi uniformly in SD 1 [2]. M,M is the number of points used to approximate the integral. Calculating the Wasserstein distance with the empirical distribution function is computationally attractive. To do that, we first sortxms in an ascending order, such thatxi[m] xi[m+1], where i[m]istheindexofthesortedxms. Hamiltonian Monte Carlo (HMC)[24]isahighly-efficient MarkovChain Monte Carlo (MCMC) method used to generate samples from the posteriorw p(w|y).