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--- 分析与偏微分方程讨论班(2023秋季第6讲)

Phase Retrieval and Blind Deconvolution Theory under Random Mask Assumption

夏羽 (杭州师范大学)

时间：10月11日（周三）下午2:00-3:00

地点：#腾讯会议：707-648-250

点击链接入会，或添加至会议列表：

https://meeting.tencent.com/dm/aEDehWKdEk0t

摘要: Instead of traditional Gaussian random measurements, we focus on the phase retrieval problem under masked Fourier measurements. It is one of the phase retrieval settings which is realizable in real applications. We discuss some truncated Wirtinger flow algorithm and improve the sampling complexity, which partly answer the question raised by E. Candès. Furthermore, we also analyze the blind deconvolution problem with modulated inputs. It is a challenging problem as both the blur kernel and the input signal are not known. When the signal is sparse and the blur kernel is short-supported, we present an algorithm with the sampling complexity smaller than nuclear norm minimization and least square method.

报告人简介: 夏羽, 杭州师范大学数学学院副教授. 主要从事信号图像处理中的数学理论和算法研究. 现阶段在应用数学及数学与信息交叉领域发表一系列学术论文,包括Applied and Computational Harmonic Analysis, Inverse Problems, IEEE Transactions on Information Theory, IEEE Transactions on Signal Processing等. 主持多项国家自然科学基金项目.

邀请人： 张安

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