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04/06/2023
Origin of inverse volume scaling in periodic coupled cluster calculations towards thermodynamic limit
Coupled cluster theory is considered to be the “gold standard” ansatz of...
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02/13/2023
Finite-size effects in periodic coupled cluster calculations
We provide the first rigorous study of the finite-size error in the simp...
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10/12/2022
On the testing of multiple hypothesis in sliced inverse regression
We consider the multiple testing of the general regression framework aim...
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06/29/2022
Causality for Inherently Explainable Transformers: CAT-XPLAIN
There have been several post-hoc explanation approaches developed to exp...
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05/22/2022
Robust Flow-based Conformal Inference (FCI) with Statistical Guarantee
Conformal prediction aims to determine precise levels of confidence in p...
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09/25/2021
Staggered mesh method for correlation energy calculations of solids: Random phase approximation in direct ring coupled cluster doubles and adiabatic connection formalisms
We propose a staggered mesh method for correlation energy calculations o...
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08/23/2021
Model-based Sparse Coding beyond Gaussian Independent Model
Sparse coding aims to model data vectors as sparse linear combinations o...
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07/31/2021
Unified analysis of finite-size error for periodic Hartree-Fock and second order Møller-Plesset perturbation theory
Despite decades of practice, finite-size errors in many widely used elec...
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02/18/2021
Staggered mesh method for correlation energy calculations of solids: Second order Møller-Plesset perturbation theory
The calculation of the MP2 correlation energy for extended systems can b...
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11/30/2020
Dynamic Image for 3D MRI Image Alzheimer's Disease Classification
We propose to apply a 2D CNN architecture to 3D MRI image Alzheimer's di...
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11/15/2020
Efficient construction of an HSS preconditioner for symmetric positive definite ℋ^2 matrices
In an iterative approach for solving linear systems with ill-conditioned...
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10/13/2020
Neural Gaussian Mirror for Controlled Feature Selection in Neural Networks
Deep neural networks (DNNs) have become increasingly popular and achieve...
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07/02/2020
A Scale-free Approach for False Discovery Rate Control in Generalized Linear Models
The generalized linear models (GLM) have been widely used in practice to...
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02/27/2020
Joint 2D-3D Breast Cancer Classification
Breast cancer is the malignant tumor that causes the highest number of c...
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02/27/2020
2D Convolutional Neural Networks for 3D Digital Breast Tomosynthesis Classification
Automated methods for breast cancer detection have focused on 2D mammogr...
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02/24/2020
Asymptotic Analysis of Sampling Estimators for Randomized Numerical Linear Algebra Algorithms
The statistical analysis of Randomized Numerical Linear Algebra (RandNLA...
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02/20/2020
False Discovery Rate Control via Data Splitting
Selecting relevant features associated with a given response variable is...
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02/09/2020
Butterfly factorization via randomized matrix-vector multiplications
This paper presents an adaptive randomized algorithm for computing the b...
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11/21/2019
Controlling False Discovery Rate Using Gaussian Mirrors
Simultaneously finding multiple influential variables and controlling th...
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11/06/2019
Minimax Nonparametric Two-sample Test
We consider the problem of comparing probability densities between two g...
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11/06/2019
Minimax Nonparametric Parallelism Test
Testing the hypothesis of parallelism is a fundamental statistical probl...
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06/10/2019