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In this talk, we discuss a unifying deep unfolding multi-sampling-ratio interpretable CS-MRI framework. The combined approach offers more generalizability than the existing deep-learning-based CS-MRI ...
We focus on the nonconvex-strongly-convex bilevel optimization problem (BLO). In this BLO, the objective function of the upper-level problem is nonconvex and possibly nonsmooth, and the lower-level pr...
In this talk, I will present our recent work on the convergence/generalization analysis for the popular optimizers in deep learning. (1) We establish the convergence for Adam under (L0,L1 ) smoothness...
Tensor-based modeling and computation emerge prominently with urgent demands from practical applications in the big data era. With the intrinsic sparsity in real data sets and the dimensionality reduc...
We propose a general framework of mass transport between vector-valued measures, which will be called simultaneous mass transport. The new framework is motivated by the need to transport resources of ...
We study the fair allocation of indivisible resources under knapsack constraints, where a set of items with varied costs and values are to be allocated to a group of agents. Each agent has a budget co...
Weitzman (1979) introduced the Pandora Box problem as a model for sequential search with inspection costs, and gave an elegant index-based policy that attains provably optimal expected payoff. In vari...
Sparsity is a naturally occurring characteristic in many real-world applications including signal denoising, outlier detection, and finance. On one hand, sparsity assumption allows people to tackle in...
Zero-One Composite Optimization (0/1-COP) is a prototype of nonsmooth, non- convex optimization problems and it has attracted much attention recently. Augmented Lagrangian Method (ALM) has stood out a...
Nonconvex constrained optimization (NCO) has been one of the important research fields in optimization community. It has widely appeared in many application fields. However, challenges for solving NCO...
我们介绍华老本人的探索和我们的继续。关于前者,概述华老仙逝前的重要更新,该结果不幸沉睡了37年,直到2021年底才被唤醒。关于后续进展,有一次修正、一次再更新和五项新发展:稳定性分析的新方法;产品(产业)等级(排序);预测与调整;经济结构的优化;重排序与大矩阵主特征值(及前6个)的高效算法。 难得的是:多种变换给出了完全相同的非稳定的时间和产品。早年关于华氏经济崩溃定理的证明基于马氏链的遍历定理,...
国民营养和粮食安全是关系国家经济发展和社会安全稳定的重大基础性和战略性问题。报告聚焦"国民膳食、营养、健康变迁与可持续发展"和"粮食可持续供需格局与保障"两大议题进行研讨,包括国民膳食营养特征和精准化评价与需求、基于营养健康和粮食安全的粮食中长期需求预测、营养健康导向的动物性食物与饲料粮需求、营养目标与资源环境双重约束的粮食供给优化、新技术支撑下粮食绿色控制与系统治理、新时代面向国民营养与粮食安全...
The optimal planning of condition-based maintenance strategy based on the degradation process is of great concerned in the past few years. A lifetime delayed degradation process with heterogenous degr...
In electronic structure calculations, Kohn-Sham equations rank among the most widely adopted mathematical models. However, due to the deficiency of available approximations for exchange-correlation en...
Unlike traditional robust optimization, personalized optimization aims to find the values of control variables that yield the optimal value of the objective function for given values of environmental ...

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