Publications

You can also find my articles on my Google Scholar profile.

My research publications focus on spherical designs, harmonic analysis, framelets, approximation theory, and related problems in scientific computing and signal processing.

Journal Publications

• Xiao, Y., and Zhuang, X. “Spherical designs for function approximation and beyond.” Sampling Theory, Signal Processing, and Data Analysis 23(2):9, 2025.
• Xiao, Y., and Zhuang, X. “Spherical Framelets from Spherical Designs.” SIAM Journal on Imaging Sciences 16(4):2072-2104, 2023. DOI: 10.1137/22M1542362
• Xiao, Y., and Zhuang, X. “Adaptive directional Haar tight framelets on bounded domains for digraph signal representations.” Journal of Fourier Analysis and Applications 27:1-26, 2021. DOI: 10.1007/s00041-021-09816-3
• An, C., and Xiao, Y. “Numerical construction of spherical $t$-designs by Barzilai-Borwein method.” Applied Numerical Mathematics 150:295-302, 2020. DOI: 10.1016/j.apnum.2019.10.008

Preprints

• Xiao, Y. “Adaptive Spherical Framelet-TV Regularization on Nested Spherical Designs.” Preprint, 2026. In preparation for submission.

Conference Proceedings

• Zhuang, X., and Xiao, Y. “Denoising on Sphere via Large Spherical $t$-designs and Spherical Framelets.” In 2023 International Conference on Sampling Theory and Applications (SampTA), 1-5, 2023. DOI: 10.1109/SampTA59647.2023.10301196
• Chen, J., Xiao, Y., and Zhou, J. “Comprehensive Evaluation and Prediction Model of Sustainable Development.” In 2015 Joint International Mechanical, Electronic and Information Technology Conference (JIMET-15), 565-569, 2015.

Additional publications and updates are available via my Google Scholar profile, ORCID record, and CV (PDF).