no code implementations • 29 Mar 2024 • Ting-Ting Zhu, Yuan-Hai Shao, Chun-Na Li, Tian Liu
Learning using statistical invariants (LUSI) is a new learning paradigm, which adopts weak convergence mechanism, and can be applied to a wider range of classification problems.
no code implementations • 31 Aug 2023 • Shuai Wang, Zhen Wang, Yuan-Hai Shao
Furthermore, we propose some different memory impact functions for the MIMM and WIMM.
no code implementations • 12 Oct 2022 • Meng-Xian Zhu, Yuan-Hai Shao
Based on the Fredholm equation, a new expected risk estimation theory by estimating the cumulative distribution function is presented.
1 code implementation • 8 Jul 2022 • Zhen Wang, Yuan-Hai Shao
Under this mechanism, error-based learning machines improve their memorization abilities of training data without over-fitting.
no code implementations • 1 Mar 2022 • Ju Liu, Ling-Wei Huang, Yuan-Hai Shao, Wei-Jie Chen, Chun-Na Li
Recent advance on linear support vector machine with the 0-1 soft margin loss ($L_{0/1}$-SVM) shows that the 0-1 loss problem can be solved directly.
1 code implementation • 17 Apr 2021 • Zhen Wang, Shan-Shan Wang, Lan Bai, Wen-Si Wang, Yuan-Hai Shao
In semi-supervised fuzzy clustering, this paper extends the traditional pairwise constraint (i. e., must-link or cannot-link) to fuzzy pairwise constraint.
no code implementations • 11 Nov 2020 • Yan-Ru Guo, Yan-Qin Bai, Chun-Na Li, Lan Bai, Yuan-Hai Shao
Recently proposed L2-norm linear discriminant analysis criterion via the Bhattacharyya error bound estimation (L2BLDA) is an effective improvement of linear discriminant analysis (LDA) for feature extraction.
no code implementations • 4 Nov 2020 • Jiakou Liu, Xiong Xiong, Pei-Wei Ren, Da Zhao, Chun-Na Li, Yuan-Hai Shao
To improve the robustness of LDA, in this paper, we introduce capped l_{2, 1}-norm of a matrix, which employs non-squared l_2-norm and "capped" operation, and further propose a novel capped l_{2, 1}-norm linear discriminant analysis, called CLDA.
no code implementations • 23 May 2020 • Xiang-Fei Yang, Yuan-Hai Shao, Chun-Na Li, Li-Ming Liu, Nai-Yang Deng
Classical principal component analysis (PCA) may suffer from the sensitivity to outliers and noise.
no code implementations • 17 Feb 2020 • Lan Bai, Yuan-Hai Shao, Wei-Jie Chen, Zhen Wang, Nai-Yang Deng
In this paper, we propose a Multiple Flat Projections Clustering (MFPC) to deal with cross-manifold clustering problems.
no code implementations • 16 Dec 2019 • Huajun Wang, Yuan-Hai Shao, Shenglong Zhou, Ce Zhang, Naihua Xiu
To distinguish all of them, in this paper, we introduce a new model equipped with an $L_{0/1}$ soft-margin loss (dubbed as $L_{0/1}$-SVM) which well captures the nature of the binary classification.
no code implementations • 22 Oct 2019 • Chun-Na Li, Yuan-Hai Shao, Huajun Wang, Yu-Ting Zhao, Ling-Wei Huang, Naihua Xiu, Nai-Yang Deng
The other type constructs all the hyperplanes simultaneously, and it solves one big optimization problem with the ascertained loss of each sample.
no code implementations • 26 Jan 2019 • Zhen Wang, Yuan-Hai Shao, Lan Bai, Chun-Na Li, Li-Ming Liu
In this paper, we propose a general model for plane-based clustering.
no code implementations • 10 Dec 2018 • Zhen Wang, Xu Chen, Chun-Na Li, Yuan-Hai Shao
Traditional plane-based clustering methods measure the cost of within-cluster and between-cluster by quadratic, linear or some other unbounded functions, which may amplify the impact of cost.
no code implementations • 6 Nov 2018 • Chun-Na Li, Yuan-Hai Shao, Zhen Wang, Nai-Yang Deng
In this paper, we propose a novel linear discriminant analysis criterion via the Bhattacharyya error bound estimation based on a novel L1-norm (L1BLDA) and L2-norm (L2BLDA).
no code implementations • 23 Jan 2018 • Chun-Na Li, Yuan-Hai Shao, Wei-Jie Chen, Zhen Wang, Nai-Yang Deng
However, 2DLDA may encounter the singularity issue theoretically and the sensitivity to outliers.
no code implementations • 19 Apr 2017 • Zhen Wang, Yuan-Hai Shao, Lan Bai, Li-Ming Liu, Nai-Yang Deng
In this paper, stochastic gradient descent algorithm is investigated to twin support vector machines for classification.