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09/20/2023
GLM Regression with Oblivious Corruptions
We demonstrate the first algorithms for the problem of regression for ge...
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08/19/2023
Additive Schwarz methods for semilinear elliptic problems with convex energy functionals: Convergence rate independent of nonlinearity
We investigate additive Schwarz methods for semilinear elliptic problems...
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05/17/2023
DualFL: A Duality-based Federated Learning Algorithm with Communication Acceleration in the General Convex Regime
We propose a novel training algorithm called DualFL (Dualized Federated ...
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05/08/2023
Prompted LLMs as Chatbot Modules for Long Open-domain Conversation
In this paper, we propose MPC (Modular Prompted Chatbot), a new approach...
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01/18/2023
Additive Schwarz methods for fourth-order variational inequalities
We consider additive Schwarz methods for fourth-order variational inequa...
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11/22/2022
A neuron-wise subspace correction method for the finite neuron method
In this paper, we propose a novel algorithm called Neuron-wise Parallel ...
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10/17/2022
On the linear convergence of additive Schwarz methods for the p-Laplacian
We consider additive Schwarz methods for boundary value problems involvi...
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10/14/2021
Additive Schwarz Methods for Convex Optimization with Backtracking
This paper presents a novel backtracking strategy for additive Schwarz m...
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10/11/2021
Two-level Group Convolution
Group convolution has been widely used in order to reduce the computatio...
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09/26/2021
Preconditioning for finite element methods with strain smoothing
Strain smoothing methods such as the smoothed finite element methods (S-...
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09/10/2021
ReLU Regression with Massart Noise
We study the fundamental problem of ReLU regression, where the goal is t...
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03/16/2021
Parareal Neural Networks Emulating a Parallel-in-time Algorithm
As deep neural networks (DNNs) become deeper, the training time increase...
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11/05/2020
Accelerated Additive Schwarz Methods for Convex Optimization with Adaptive Restart
Based on an observation that additive Schwarz methods for general convex...
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09/18/2020
Correction to: A dual iterative substructuring method with a small penalty parameter
In this corrigendum, we offer a correction to [J. Korean. Math. Soc., 54...
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09/02/2020
A variational framework for the strain-smoothed element method
Recently, the strain-smoothed element (SSE) method has been developed fo...
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02/24/2020
An Overlapping Domain Decomposition Framework without Dual Formulation for Variational Imaging Problems
In this paper, we propose a novel overlapping domain decomposition metho...
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02/10/2020
Robust Mean Estimation under Coordinate-level Corruption
Data corruption, systematic or adversarial, may skew statistical estimat...
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12/08/2019
Additive Schwarz Methods for Convex Optimization as Gradient Methods
This paper gives a unified convergence analysis of additive Schwarz meth...
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11/15/2019
Pseudo-linear Convergence of an Additive Schwarz Method for Dual Total Variation Minimization
In this paper, we propose an overlapping additive Schwarz method for tot...
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08/04/2019