New method interprets ranked data on permutahedron graph.
arXiv research
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Triangulates permutahedra for Coxeter groups, revealing braid group connections.
A new method learns DAGs from data using permutation optimization.
The paper studies splitting maps in link Floer homology using skein exact sequences.
Study on likelihood functions, associative equations, and Frobenius manifolds.
A few years ago Kramer and Laubenbacher introduced a discrete notion of homotopy for simplicial complexes. In this paper, we compute the discrete fundamental group of the order complex of the Boolean lattice. As it turns out, it is equivalent to computing the discrete homotopy group of the 1-skeleton of the permutahedr…
The sorting operation is one of the most commonly used building blocks in computer programming. In machine learning, it is often used for robust statistics. However, seen as a function, it is piecewise linear and as a result includes many kinks where it is non-differentiable. More problematic is the related ranking ope…
Proposes differentiable and sparse top-k operators for neural networks.
The paper explores trading off consistency and dimensionality in convex surrogates for multiclass classification.