yl7703永利官網(wǎng)李朋副教授邀請(qǐng), 電子科技大學(xué)數(shù)學(xué)科學(xué)學(xué)院趙熙樂教授, 將于2024年1月31號(hào)(星期三)上午11:00-12:00線下舉辦學(xué)術(shù)報(bào)告.   

報(bào)告題：New Continuous Representation for Multi-Dimensional Data Recovery Beyond Meshgrid

報(bào)告地點(diǎn)：城關(guān)校區(qū)理工樓401

報(bào)告時(shí)間：2024年1月31日(星期三)11：00-12:00

報(bào)告摘要：Classical low-rank tensor representations can only represent data on meshgrid, which hinders their potential applicability in many scenarios beyond meshgrid. To break this barrier, we propose a low-rank tensor function representation (LRTFR), which can continuously represent data beyond meshgrid with infinite resolution. Specifically, the suggested tensor function, which maps an arbitrary coordinate to the corresponding value, can continuously represent data in an infinite real space. Parallel to discrete tensors, we develop two fundamental concepts for tensor functions, i.e., the tensor function rank and low-rank tensor function factorization. We theoretically justify that both low-rank and smooth regularizations are harmoniously unified in the LRTFR, which leads to high effectiveness and efficiency for data continuous representation. Extensive multi-dimensional data recovery applications arising from image processing (image inpainting and denoising), machine learning (hyperparameter optimization), and computer graphics (point cloud upsampling) substantiate the superiority and versatility of our method as compared with state-of-the-art methods. Especially, the experiments beyond the original meshgrid resolution (hyperparameter optimization) or even beyond meshgrid (point cloud upsampling) validate the favorable performances of our method for continuous representation.

報(bào)告人簡介:趙熙樂,電子科技大學(xué)教授、博導(dǎo)，入選四川省天府青城計(jì)劃和四川省學(xué)術(shù)和技術(shù)帶頭人后備人選。撰寫Elsevier出版社和科學(xué)出版社出版的學(xué)術(shù)專著章節(jié)2章，第一/通訊在權(quán)威SIAM系列期刊(SIIMS和SISC)和IEEE系列期刊(TPAMI、TIP、TNNLS、TCYB、TCVST、TCI和TGRS)、ISPRS及計(jì)算機(jī)學(xué)會(huì)A類會(huì)議CVPR和AAAI等發(fā)表研究工作。研究成果獲四川省科技進(jìn)步一等獎(jiǎng)兩項(xiàng)(自然科學(xué)類、科技進(jìn)步類)、第一、二屆川渝科技學(xué)術(shù)大會(huì)優(yōu)秀論文一等獎(jiǎng)，計(jì)算數(shù)學(xué)會(huì)青年優(yōu)秀論文競賽二等獎(jiǎng)。主持國自然面上項(xiàng)目、國自然青年項(xiàng)目、華為項(xiàng)目。詳情見其主頁https://www.math.uestc.edu.cn/info/1183/5826.htm

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