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07/01/2023
AIGCIQA2023: A Large-scale Image Quality Assessment Database for AI Generated Images: from the Perspectives of Quality, Authenticity and Correspondence
In this paper, in order to get a better understanding of the human visua...
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06/03/2023
Correcting auto-differentiation in neural-ODE training
Does the use of auto-differentiation yield reasonable updates to deep ne...
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05/21/2023
On optimal bases for multiscale PDEs and Bayesian homogenization
PDE solutions are numerically represented by basis functions. Classical ...
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03/27/2023
Learning Harmonic Molecular Representations on Riemannian Manifold
Molecular representation learning plays a crucial role in AI-assisted dr...
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03/18/2023
Divide and Conquer: Answering Questions with Object Factorization and Compositional Reasoning
Humans have the innate capability to answer diverse questions, which is ...
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10/23/2022
No-Regret Learning in Two-Echelon Supply Chain with Unknown Demand Distribution
Supply chain management (SCM) has been recognized as an important discip...
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04/20/2022
Attention in Reasoning: Dataset, Analysis, and Modeling
While attention has been an increasingly popular component in deep neura...
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03/11/2022
REX: Reasoning-aware and Grounded Explanation
Effectiveness and interpretability are two essential properties for trus...
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01/10/2022
High-frequency limit of the inverse scattering problem: asymptotic convergence from inverse Helmholtz to inverse Liouville
We investigate the asymptotic relation between the inverse problems rely...
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11/28/2021
Cross-Task Consistency Learning Framework for Multi-Task Learning
Multi-task learning (MTL) is an active field in deep learning in which w...
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11/25/2021
Low-rank approximation for multiscale PDEs
Historically, analysis for multiscale PDEs is largely unified while nume...
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11/03/2021
A reduced order Schwarz method for nonlinear multiscale elliptic equations based on two-layer neural networks
Neural networks are powerful tools for approximating high dimensional da...
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10/06/2021
On the Global Convergence of Gradient Descent for multi-layer ResNets in the mean-field regime
Finding the optimal configuration of parameters in ResNet is a nonconvex...
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05/30/2021
Overparameterization of deep ResNet: zero loss and mean-field analysis
Finding parameters in a deep neural network (NN) that fit training data ...
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12/26/2020
Semi-classical limit of an inverse problem for the Schrödinger equation
It is a classical derivation that the Wigner equation, derived from the ...
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11/01/2020
Manifold Learning and Nonlinear Homogenization
We describe an efficient domain decomposition-based framework for nonlin...
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07/28/2020
AiR: Attention with Reasoning Capability
While attention has been an increasingly popular component in deep neura...
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05/13/2020
Triaging moderate COVID-19 and other viral pneumonias from routine blood tests
The COVID-19 is sweeping the world with deadly consequences. Its contagi...
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02/12/2020
Semi-classical limit for the varying-mass Schrödinger equation with random inhomogeneities
The varying-mass Schrödinger equation (VMSE) has been successfully appli...
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11/19/2017
