研究方向
計算與套用調和分析、機器學習和可再生核理論、採樣理論、自適應信號分析等。
資助項目
o 2013年1月- 2015年12月，套用與計算調和分析，國家自然科學基金委資助，主持；
o 2012年1月- 2014年12月，機器學習中的稀疏逼近和巴拿赫空間方法，國家自然科學基金委資助，主持；
o 2012年1月- 2014年12月，植物分子設計中高維數據的低維稀疏逼近方法，國家自然科學基金委資助，參與；
o 2012年3月29日，Semi-inner-products in Banach Spaces with Applications to Regularized Learning, Sampling, and Sparse Approximation ，美國陸軍研究資助，參與；
學術成果
12. Rui Wang and Haizhang Zhang, Optimal Sampling Points in Reproducing Kernel Hilbert Spaces, submitted.
11. Haizhang Zhang and Jun Zhang, Vector-valued Reproducing Kernel Banach Spaces with Applications to Multi-task Learning, Journal of Complexity, accepted. .
10. Haizhang Zhang and Liang Zhao, On the Inclusion Relation of Reproducing Kernel Hilbert Spaces, Analysis and Applications, accepted.
9. Haizhang Zhang, Yuesheng Xu and Qinghui Zhang, Refinement of Operator-valued Reproducing Kernels, Journal of Machine Learning Research 13 (2012), 91-136.
8. Guohui Song, Haizhang Zhang and Fred J. Hickernell, Reproducing Kernel Banach Spaces with the l1 Norm, Applied and Computational Harmonic Analysis 34 (2013), 96–116.
7. Guohui Song and Haizhang Zhang, Reproducing Kernel Banach Spaces with the l1 Norm II: Error Analysis for Regularized Least Square Regression, Neural Computation 23 (10) (2011), 2713--2729. 6.
6. (With Jun Zhang) Frames, Riesz Bases, and Sampling Expansions in Banach Spaces via Semi-inner Products, Applied and Computational Harmonic Analysis 31 (1) (2011), 1-25.
5. (With Yuesheng Xu and Jun Zhang) Reproducing Kernel Banach Spaces for Machine Learning, Journal of Machine Learning Research 10 (2009), 2741-2775.
4. (With Charles A. Micchelli and Yuesheng Xu) Optimal Learning of Bandlimited Functions from Localized Sampling, Journal of Complexity 25 (2009), 85-114.
3. (With Yuesheng Xu) Refinement of Reproducing Kernels, Journal of Machine Learning Research 10 (2009), 107-140.
2. (With Bo Yu) The Bedrosian Identity and Homogeneous Semi-convolution Equations, Journal of Integral Equations and Applications 20 (2008), 527--568.
1. (With Yuesheng Xu) Refinable Kernels, Journal of Machine Learning Research 8 (2007), 2083-2120.
