44 citations · 86 across the 7 of their papers we have counts for
7 papers
DMPlug: A Plug-in Method for Solving Inverse Problems with Diffusion Models
Hengkang Wang, Xu Zhang, Taihui Li +3
Pretrained diffusion models (DMs) have recently been popularly used in solving inverse problems (IPs). The existing methods mostly interleave iterative steps in the reverse diffusi…
Stability Based Generalization Bounds for Exponential Family Langevin Dynamics
Arindam Banerjee, Tiancong Chen, Xinyan Li +1
Recent years have seen advances in generalization bounds for noisy stochastic algorithms, especially stochastic gradient Langevin dynamics (SGLD) based on stability (Mou et al., 20…
Early Stopping for Deep Image Prior
Hengkang Wang, Taihui Li, Zhong Zhuang +3
Deep image prior (DIP) and its variants have showed remarkable potential for solving inverse problems in computer vision, without any extra training data. Practical DIP models are…
De-randomized PAC-Bayes Margin Bounds: Applications to Non-convex and Non-smooth Predictors
Arindam Banerjee, Tiancong Chen, Yingxue Zhou
In spite of several notable efforts, explaining the generalization of deterministic non-smooth deep nets, e.g., ReLU-nets, has remained challenging. Existing approaches for determi…
Hessian based analysis of SGD for Deep Nets: Dynamics and Generalization
Xinyan Li, Qilong Gu, Yingxue Zhou +2
While stochastic gradient descent (SGD) and variants have been surprisingly successful for training deep nets, several aspects of the optimization dynamics and generalization are s…
Distributed Training with Heterogeneous Data: Bridging Median- and Mean-Based Algorithms
Xiangyi Chen, Tiancong Chen, Haoran Sun +2
Recently, there is a growing interest in the study of median-based algorithms for distributed non-convex optimization. Two prominent such algorithms include signSGD with majority v…
Smooth local solutions to weingarten equations and -equations
Tiancong Chen, Qing Han
In this paper, we study the existence of smooth local solutions to Weingarten equations and -equations. We will prove that, for , the Weingarten equations and…