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Differentiable comparative statics with payoff functions not differentiable everywhere [PDF]
, 2001 In this note we consider Cournot oligopoly. Due to the consideration of several consumers and/ or technologies, the profit function is not differentiable everywhere.
Corchón, Luis C.
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Differentiable surface splatting for point-based geometry processing [PDF]
ACM Transactions on Graphics, 2019 We propose Differentiable Surface Splatting (DSS), a high-fidelity differentiable renderer for point clouds. Gradients for point locations and normals are carefully designed to handle discontinuities of the rendering function.
Yifan Wang +4 more
semanticscholar +1 more source
Chaotic intermittency with non-differentiable M(x) function
Revista Facultad de Ingeniería Universidad de Antioquia, 2023 One-dimensional maps showing chaotic intermittency with discontinuous reinjection probability density functions are studied. For these maps, the reinjection mechanism possesses two different processes.
Sergio Elaskar +2 more
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Implementation Aspects in Regularized Structural Equation Models
Algorithms, 2023 This article reviews several implementation aspects in estimating regularized single-group and multiple-group structural equation models (SEM). It is demonstrated that approximate estimation approaches that rely on a differentiable approximation of non ...
Alexander Robitzsch
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Differentiable vector graphics rasterization for editing and learning
ACM Transactions on Graphics, 2020 We introduce a differentiable rasterizer that bridges the vector graphics and raster image domains, enabling powerful raster-based loss functions, optimization procedures, and machine learning techniques to edit and generate vector content.
Tzu-Mao Li +3 more
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The differentiation of a function of a function [PDF]
Bulletin of the American Mathematical Society, 1923 If z is a function of y having a differential coefficient at a certain point, and y is a function of x having a differential coefficient at the corresponding point, then z is a function of x having a differential coefficient at that point, and this differential coefficient is given by the formulaThis theorem, thought not always stated so carefully ...
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Differentiation and function of osteoclasts
The Keio Journal of Medicine, 2003 Osteoclasts, which are responsible for bone resorption, are rare cells with only 2-3 cells seen per 1 mm3 of bone. However, the loss of function in osteoclasts, problems with their differentiation and decrease in their number lead to bone osteosclerosis/osteopetrosis. On the other hand, an increase in their number or function induces bone osteoporosis,
Takeshi, Miyamoto, Toshio, Suda
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Differentiable Earth mover’s distance for data compression at the high-luminosity LHC
Machine Learning: Science and Technology, 2023 The Earth mover’s distance (EMD) is a useful metric for image recognition and classification, but its usual implementations are not differentiable or too slow to be used as a loss function for training other algorithms via gradient descent. In this paper,
Rohan Shenoy +7 more
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clDice - a Novel Topology-Preserving Loss Function for Tubular Structure Segmentation [PDF]
Computer Vision and Pattern Recognition, 2020 Accurate segmentation of tubular, network-like structures, such as vessels, neurons, or roads, is relevant to many fields of research. For such structures, the topology is their most important characteristic; particularly preserving connectedness: in the
Suprosanna Shit +8 more
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Differentiability of the arithmetic volume function [PDF]
, 2008 We introduce the positive intersection product in Arakelov geometry and prove that the arithmetic volume function is continuously differentiable. As applications, we compute the distribution function of the asymptotic measure of a Hermitian line bundle ...
Chen, Huayi
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