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Random features for kernel approximation: A survey on algorithms, theory, and beyond
The class of random features is one of the most popular techniques to speed up kernel
methods in large-scale problems. Related works have been recognized by the NeurIPS Test …
methods in large-scale problems. Related works have been recognized by the NeurIPS Test …
Multiplicative filter networks
Although deep networks are typically used to approximate functions over high dimensional
inputs, recent work has increased interest in neural networks as function approximators for …
inputs, recent work has increased interest in neural networks as function approximators for …
An improved cutting plane method for convex optimization, convex-concave games, and its applications
Given a separation oracle for a convex set K⊂ ℝ n that is contained in a box of radius R, the
goal is to either compute a point in K or prove that K does not contain a ball of radius є. We …
goal is to either compute a point in K or prove that K does not contain a ball of radius є. We …
A random matrix analysis of random fourier features: beyond the gaussian kernel, a precise phase transition, and the corresponding double descent
This article characterizes the exact asymptotics of random Fourier feature (RFF) regression,
in the realistic setting where the number of data samples $ n $, their dimension $ p $, and …
in the realistic setting where the number of data samples $ n $, their dimension $ p $, and …
Towards a unified analysis of random Fourier features
Random Fourier features is a widely used, simple, and effective technique for scaling up
kernel methods. The existing theoretical analysis of the approach, however, remains …
kernel methods. The existing theoretical analysis of the approach, however, remains …
Oblivious sketching of high-degree polynomial kernels
Kernel methods are fundamental tools in machine learning that allow detection of non-linear
dependencies between data without explicitly constructing feature vectors in high …
dependencies between data without explicitly constructing feature vectors in high …
Fast sketching of polynomial kernels of polynomial degree
Kernel methods are fundamental in machine learning, and faster algorithms for kernel
approximation provide direct speedups for many core tasks in machine learning. The …
approximation provide direct speedups for many core tasks in machine learning. The …
Memorization and optimization in deep neural networks with minimum over-parameterization
Abstract The Neural Tangent Kernel (NTK) has emerged as a powerful tool to provide
memorization, optimization and generalization guarantees in deep neural networks. A line of …
memorization, optimization and generalization guarantees in deep neural networks. A line of …
A stacking ensemble learning framework for genomic prediction
M Liang, T Chang, B An, X Duan, L Du, X Wang… - Frontiers in …, 2021 - frontiersin.org
Machine learning (ML) is perhaps the most useful tool for the interpretation of large genomic
datasets. However, the performance of a single machine learning method in genomic …
datasets. However, the performance of a single machine learning method in genomic …