Tag: Homogeneous
Framework generalizes equivariant neural layers to nonlinear homogeneous spaces
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What the study found The paper presents a framework for nonlinear equivariant neural network layers on homogeneous spaces. The authors derive generalized steerability constraints for these layers and prove the universality of their construction. Why the authors say this matters The study suggests that its analysis of symmetry-constrained dependence on feature maps and group elements…
Multilinear maximal operators on homogeneous curves are bounded
What the study found The authors prove a boundedness result for multilinear maximal operators along homogeneous polynomial curves. In the stated setting, the result holds when p1, …, pn are greater than 1 and the exponents satisfy 1/p = sum from j=1 to n of 1/pj. Why the authors say this matters The abstract does…