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Channel-Directed Gradients for Optimization of Convolutional Neural Networks
We introduce optimization methods for convolutional neural networks that...
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Local Saddle Point Optimization: A Curvature Exploitation Approach
Gradient-based optimization methods are the most popular choice for find...
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A Novel Representation of Neural Networks
Deep Neural Networks (DNNs) have become very popular for prediction in m...
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Quantization based Fast Inner Product Search
We propose a quantization based approach for fast approximate Maximum In...
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Reducing the variance in online optimization by transporting past gradients
Most stochastic optimization methods use gradients once before discardin...
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BAMSProd: A Step towards Generalizing the Adaptive Optimization Methods to Deep Binary Model
Recent methods have significantly reduced the performance degradation of...
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Repulsive Curves
Curves play a fundamental role across computer graphics, physical simula...
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Sobolev Gradients for the Möbius Energy
Aiming at optimizing the shape of closed embedded curves within prescribed isotopy classes, we use a gradient-based approach to approximate stationary points of the Möbius energy. The gradients are computed with respect to Sobolev inner products similar to the W^3/2,2-inner product. This leads to optimization methods that are significantly more efficient and robust than standard techniques based on L^2-gradients.
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