Search Results for author: Yuan-Hai Shao

Found 17 papers, 2 papers with code

Learning using granularity statistical invariants for classification

no code implementations29 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.

Classification

Least Squares Maximum and Weighted Generalization-Memorization Machines

no code implementations31 Aug 2023 Shuai Wang, Zhen Wang, Yuan-Hai Shao

Furthermore, we propose some different memory impact functions for the MIMM and WIMM.

Memorization

Classification by estimating the cumulative distribution function for small data

no code implementations12 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.

Classification

Generalization-Memorization Machines

1 code implementation8 Jul 2022 Zhen Wang, Yuan-Hai Shao

Under this mechanism, error-based learning machines improve their memorization abilities of training data without over-fitting.

Memorization

Nonlinear Kernel Support Vector Machine with 0-1 Soft Margin Loss

no code implementations1 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.

Fuzzy Discriminant Clustering with Fuzzy Pairwise Constraints

1 code implementation17 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.

Clustering

Two-dimensional Bhattacharyya bound linear discriminant analysis with its applications

no code implementations11 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.

Image Reconstruction Vocal Bursts Valence Prediction

Capped norm linear discriminant analysis and its applications

no code implementations4 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.

Principal Component Analysis Based on T$\ell_1$-norm Maximization

no code implementations23 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.

Multiple Flat Projections for Cross-manifold Clustering

no code implementations17 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.

Clustering

Support Vector Machine Classifier via $L_{0/1}$ Soft-Margin Loss

no code implementations16 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.

Binary Classification

Single and Union Non-parallel Support Vector Machine Frameworks

no code implementations22 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.

General Classification

Ramp-based Twin Support Vector Clustering

no code implementations10 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.

Clustering

Robust Bhattacharyya bound linear discriminant analysis through adaptive algorithm

no code implementations6 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).

Insensitive Stochastic Gradient Twin Support Vector Machine for Large Scale Problems

no code implementations19 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.

General Classification

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