Thismakesinferenceveryfast,andmaynot even need to use all input featuresto make a prediction (with axis-aligned trees).

Neural Information Processing Systems http://nips.cc/

In this paper, we propose a new mathematical optimization model for multiclass classification based on arrangements of hyperplanes. Our approach preserves the core support vector machine (SVM) paradigm of maximizing class separation while minimizing misclassification errors, and it is computationally more efficient than a previous formulation. We present a kernel-based extension that allows it to construct nonlinear decision boundaries. Furthermore, we show how the framework can naturally incorporate alternative geometric structures, including classification trees, $\ell_p$-SVMs, and models with discrete feature selection. To address large-scale instances, we develop a dynamic clustering matheuristic that leverages the proposed MIP formulation. Extensive computational experiments demonstrate the efficiency of the proposed model and dynamic clustering heuristic, and we report competitive classification performance on both synthetic datasets and real-world benchmarks from the UCI Machine Learning Repository, comparing our method with state-of-the-art implementations available in scikit-learn.

Sloan (1988), Cohen (1997), and was most recently highlighted in Avrim Blum's In this work, we focus on learning halfspaces with Massart noise [MN06]: Definition 1.1 A learning algorithm is given i.i.d. The question is whether a polynomial time algorithm exists.

The challenge for misclassification problem in practice is that as the dimension grows large, the feature becomes into special forms. Therefore, a special structure contribution is required. The performance of classification of functions from Korobov space using shallow networks might be one of the possibilities to deal with the well. A binary classification problem with an input (compact metric) space X of instances and output space Y = { 1, 1} of two labels aims at learning a (binary) classifier from samples that separate the instances in X into two classes.