资源论文Learning large-margin halfspaces with more malicious noise

Learning large-margin halfspaces with more malicious noise

2020-01-08 | |  76 |   44 |   0

Abstract

We describe a simple algorithm that runs in time 图片.png and learns an unknown n-dimensional 图片.png-margin halfspace to accuracy 图片.png in theppresence of malicious noise, when the noise rate is allowed to be as high as 图片.png Previous efficient algorithms could only learn to accuracy 图片.png in the presence of malicious noise of rate at most图片.pngOur algorithm does not work by optimizing a convex loss function. We show that no algorithm for learning 图片.png-margin halfspaces that minimizes a convex proxy for misclassification error can tolerate malicious noise at a rate greater than 图片.png this may partially explain why previous algorithms could not achieve the higher noise tolerance of our new algorithm.

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