No piecewise linear k-ary Janossy pooling is injective on general multisets, but simple deep sets are injective on compact domains of well-separated distinct points.
Fourier sliced-wasserstein embedding for multisets and measures
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On the (Non) Injectivity of Piecewise Linear Janossy Pooling
No piecewise linear k-ary Janossy pooling is injective on general multisets, but simple deep sets are injective on compact domains of well-separated distinct points.