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DELP-Net: A Differentiable Entropy Layer Pyramid Network for End-to-End Low-Rate DoS Detection. [PDF]
Wang J, Xu C, Yang J.
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The improper infinite derivatives of Takagi's nowhere-differentiable function [PDF]
Let T be Takagi's continuous but nowhere-differentiable function. Using a representation in terms of Rademacher series due to N. Kono, we give a complete characterization of those points where T has a left-sided, right-sided, or two-sided infinite ...
Pieter C Allaart
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Surjective isometries on the vector-valued differentiable function spaces
Lei Li
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DFR: Differentiable Function Rendering for Learning 3D Generation from Images
Computer Graphics Forum, 2020Learning‐based 3D generation is a popular research field in computer graphics. Recently, some works adapted implicit function defined by a neural network to represent 3D objects and have become the current state‐of‐the‐art.
Zhengxing Sun
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Differentiable signed distance function rendering
ACM Transactions on Graphics, 2022Physically-based differentiable rendering has recently emerged as an attractive new technique for solving inverse problems that recover complete 3D scene representations from images.
Delio Vicini +2 more
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A probabilistic property of Katsuura's continuous nowhere differentiable function
Katsuura's example of a continuous nowhere differentiable function is based on a fixed-point method.
Lewis, Thomas M.
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A convex Fréchet differentiable function is minimized subject to a certain hyperplane at a point if the function is minimized in all directions which are defined by a finite set of vectors.
Yi-Hsin Liu, Valentin Matache
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Non-Differentiable Function Tracking
Shyam Kamal +2 more
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On the Composition of Differentiable Functions
Canadian Mathematical Bulletin, 2003AbstractWe prove that a Banach space X has the Schur property if and only if every X-valued weakly differentiable function is Fréchet differentiable. We give a general result on the Fréchet differentiability of f ○ T, where f is a Lipschitz function and T is a compact linear operator. Finally we study, using in particular a smooth variational principle,
Bachir, Mohammed, Lancien, Gilles
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