vix.ing · top · new · best · stats · spec

Reducing the Computational Complexity of Pseudoinverse for the Incremental Broad Learning System on Added Inputs

2019/10/17 by Hufei Zhu, Zhu, Hufei, Liu, Zhulin +2 · 1 citation
Computer Science · Neuroscience · #Brain Tumor Detection and Classification #FOS: Computer and information sciences #Face and Expression Recognition #Machine Learning (cs.LG) #Machine Learning (stat.ML) #Machine Learning and ELM

paper · pdf · doi:10.48550/arxiv.1910.07755

openalex publication_date 2019/10/17 · openalex created_date 2019/10/25 · openalex updated_date 2026/07/28

Abstract

In this brief, we improve the Broad Learning System (BLS) [7] by reducing the computational complexity of the incremental learning for added inputs. We utilize the inverse of a sum of matrices in [8] to improve a step in the pseudoinverse of a row-partitioned matrix. Accordingly we propose two fast algorithms for the cases of q > k and q < k, respectively, where q and k denote the number of additional training samples and the total number of nodes, respectively. Specifically, when q > k, the proposed algorithm computes only a k * k matrix inverse, instead of a q * q matrix inverse in the existing algorithm. Accordingly it can reduce the complexity dramatically. Our simulations, which follow those for Table V in [7], show that the proposed algorithm and the existing algorithm achieve the same testing accuracy, while the speedups in BLS training time of the proposed algorithm over the existing algorithm are 1.24 - 1.30.

Citations

Cited by

Related