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01/18/2023
Weighted Trace-Penalty Minimization for Full Configuration Interaction
A novel unconstrained optimization model named weighted trace-penalty mi...
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11/29/2022
ButterflyNet2D: Bridging Classical Methods and Neural Network Methods in Image Processing
Both classical Fourier transform-based methods and neural network method...
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06/14/2022
SpecNet2: Orthogonalization-free spectral embedding by neural networks
Spectral methods which represent data points by eigenvectors of kernel m...
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10/12/2021
Global Convergence of Triangularized Orthogonalization-free Method
This paper proves the global convergence of a triangularized orthogonali...
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01/05/2021
On the global convergence of randomized coordinate gradient descent for non-convex optimization
In this work, we analyze the global convergence property of coordinate g...
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08/28/2020
Distributed-memory ℋ-matrix Algebra I: Data Distribution and Matrix-vector Multiplication
We introduce a data distribution scheme for ℋ-matrices and a distributed...
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05/25/2020
Triangularized Orthogonalization-free Method for Solving Extreme Eigenvalue Problems
A novel orthogonalization-free method together with two specific algorit...
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12/09/2019
Butterfly-Net2: Simplified Butterfly-Net and Fourier Transform Initialization
Structured CNN designed using the prior information of problems potentia...
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12/04/2019
Universal approximation of symmetric and anti-symmetric functions
We consider universal approximations of symmetric and anti-symmetric fun...
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07/03/2019
Mask Embedding in conditional GAN for Guided Synthesis of High Resolution Images
Recent advancements in conditional Generative Adversarial Networks (cGAN...
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05/17/2019
Tensor Ring Decomposition: Energy Landscape and One-loop Convergence of Alternating Least Squares
In this work, we study the tensor ring decomposition and its associated ...
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05/07/2019
Variational training of neural network approximations of solution maps for physical models
A novel solve-training framework is proposed to train neural network in ...
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05/18/2018
Butterfly-Net: Optimal Function Representation Based on Convolutional Neural Networks
Deep networks, especially Convolutional Neural Networks (CNNs), have bee...
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06/23/2017
On the numerical rank of radial basis function kernels in high dimension
Low-rank approximations are popular methods to reduce the high computati...
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06/23/2017
On the numerical rank of radial basis function kernel matrices in high dimension
Low-rank approximations are popular techniques to reduce the high comput...
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01/31/2017
Interior Eigensolver for Sparse Hermitian Definite Matrices Based on Zolotarev's Functions
This paper proposes an efficient method for computing selected generaliz...
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07/01/2016
Distributed-memory Hierarchical Interpolative Factorization
The hierarchical interpolative factorization (HIF) offers an efficient w...
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05/03/2015