Haomin Zhou

Stefano Serra-Capizzano

Appl. Math. Comput., February, 2024

Neural Control of Parametric Solutions for High-Dimensional Evolution PDEs.

[BibT_eX]

[DOI]

Nathan Gaby

Xiaojing Ye

SIAM J. Sci. Comput., 2024

IRCNN: A novel signal decomposition approach based on iterative residue convolutional neural network.

[BibT_eX]

[DOI]

Feng Zhou

Pattern Recognit., 2024

Structured and Balanced Multi-component and Multi-layer Neural Networks.

[BibT_eX]

[DOI]

CoRR, 2024

Parameterized Wasserstein Gradient Flow.

[BibT_eX]

[DOI]

CoRR, 2024

A supervised learning scheme for computing Hamilton-Jacobi equation via density coupling.

[BibT_eX]

[DOI]

Shu Liu

CoRR, 2024

2023

Optimal Control for Stochastic Nonlinear Schrödinger Equation on Graph.

[BibT_eX]

[DOI]

Shu Liu

SIAM J. Control. Optim., August, 2023

Wasserstein Hamiltonian Flow with Common Noise on Graph.

[BibT_eX]

[DOI]

Shu Liu

SIAM J. Appl. Math., April, 2023

Neural Monge Map estimation and its applications.

[BibT_eX]

[DOI]

Trans. Mach. Learn. Res., 2023

RRCNN<sup>+</sup>: An Enhanced Residual Recursive Convolutional Neural Network for Non-stationary Signal Decomposition.

[BibT_eX]

[DOI]

Feng Zhou

CoRR, 2023

RRCNN: A novel signal decomposition approach based on recurrent residue convolutional neural network.

[BibT_eX]

[DOI]

Feng Zhou

CoRR, 2023

Why Shallow Networks Struggle with Approximating and Learning High Frequency: A Numerical Study.

[BibT_eX]

[DOI]

CoRR, 2023

Parameterized Wasserstein Hamiltonian Flow.

[BibT_eX]

[DOI]

CoRR, 2023

Intermittent diffusion-based path planning for heterogeneous groups of mobile sensors in cluttered environments.

[BibT_eX]

[DOI]

Christina Frederick

Frank Crosby

Proceedings of the IEEE International Conference on Robotics and Automation, 2023

High-Dimensional Optimal Density Control with Wasserstein Metric Matching.

[BibT_eX]

[DOI]

Proceedings of the 62nd IEEE Conference on Decision and Control, 2023

Discrete Langevin Samplers via Wasserstein Gradient Flow.

[BibT_eX]

[DOI]

Proceedings of the International Conference on Artificial Intelligence and Statistics, 2023

2022

A Continuation Multiple Shooting Method for Wasserstein Geodesic Equation.

[BibT_eX]

[DOI]

Luca Dieci

SIAM J. Sci. Comput., 2022

Neural Parametric Fokker-Planck Equation.

[BibT_eX]

[DOI]

SIAM J. Numer. Anal., 2022

Time discretizations of Wasserstein-Hamiltonian flows.

[BibT_eX]

[DOI]

Luca Dieci

Math. Comput., 2022

Collective Motion Planning for a Group of Robots Using Intermittent Diffusion.

[BibT_eX]

[DOI]

Christina Frederick

Magnus Egerstedt

J. Sci. Comput., 2022

Path Exploration in Unknown Environments Using Fokker-Planck Equation on Graph.

[BibT_eX]

[DOI]

Haoyan Zhai

Magnus Egerstedt

J. Intell. Robotic Syst., 2022

Discrete Langevin Sampler via Wasserstein Gradient Flow.

[BibT_eX]

[DOI]

CoRR, 2022

New theoretical insights in the decomposition and time-frequency representation of nonstationary signals: the IMFogram algorithm.

[BibT_eX]

[DOI]

Wing Suet Li

CoRR, 2022

Method of evolving junction on optimal path planning in flows fields.

[BibT_eX]

[DOI]

Auton. Robots, 2022

2021

Numerical analysis for iterative filtering with new efficient implementations based on FFT.

[BibT_eX]

[DOI]

Numerische Mathematik, 2021

Bounded Cost Path Planning for Underwater Vehicles Assisted by a Time-Invariant Partitioned Flow Field Model.

[BibT_eX]

[DOI]

Frontiers Robotics AI, 2021

IF2CNN: Towards non-stationary time series feature extraction by integrating iterative filtering and convolutional neural networks.

[BibT_eX]

[DOI]

Expert Syst. Appl., 2021

Scalable Computation of Monge Maps with General Costs.

[BibT_eX]

[DOI]

CoRR, 2021

Mean Field Game GAN.

[BibT_eX]

[DOI]

Shaojun Ma

Hongyuan Zha

CoRR, 2021

Learning High Dimensional Wasserstein Geodesics.

[BibT_eX]

[DOI]

CoRR, 2021

Belief Space Partitioning for Symbolic Motion Planning.

[BibT_eX]

[DOI]

Proceedings of the IEEE International Conference on Robotics and Automation, 2021

Learning Stochastic Behaviour from Aggregate Data.

[BibT_eX]

[DOI]

Proceedings of the 38th International Conference on Machine Learning, 2021

2020

Equilibrium Selection via Optimal Transport.

[BibT_eX]

[DOI]

SIAM J. Appl. Math., 2020

Double descent and intermittent color diffusion for landscape exploration.

[BibT_eX]

[DOI]

Luca Dieci

Manuela Manetta

Numer. Algorithms, 2020

Weak adversarial networks for high-dimensional partial differential equations.

[BibT_eX]

[DOI]

J. Comput. Phys., 2020

Time-frequency representation of nonstationary signals: the FIFogram.

[BibT_eX]

[DOI]

CoRR, 2020

Numerical Solution of Inverse Problems by Weak Adversarial Networks.

[BibT_eX]

[DOI]

CoRR, 2020

Neural Parametric Fokker-Planck Equations.

[BibT_eX]

[DOI]

CoRR, 2020

Learning Cost Functions for Optimal Transport.

[BibT_eX]

[DOI]

CoRR, 2020

Learning Stochastic Behaviour of Aggregate Data.

[BibT_eX]

[DOI]

CoRR, 2020

2019

Population Games and Discrete Optimal Transport.

[BibT_eX]

[DOI]

J. Nonlinear Sci., 2019

Learning to Match via Inverse Optimal Transport.

[BibT_eX]

[DOI]

J. Mach. Learn. Res., 2019

A 2-Stage Strategy for Non-Stationary Signal Prediction and Recovery Using Iterative Filtering and Neural Network.

[BibT_eX]

[DOI]

J. Comput. Sci. Technol., 2019

EMD2FNN: A strategy combining empirical mode decomposition and factorization machine based neural network for stock market trend prediction.

[BibT_eX]

[DOI]

Expert Syst. Appl., 2019

Path Planning in Unknown Environments Using Optimal Transport Theory.

[BibT_eX]

[DOI]

Haoyan Zhai

Magnus Egerstedt

CoRR, 2019

Parametric Fokker-Planck Equation.

[BibT_eX]

[DOI]

Proceedings of the Geometric Science of Information - 4th International Conference, 2019

2018

Influence prediction for continuous-time information propagation on networks.

[BibT_eX]

[DOI]

Networks Heterog. Media, 2018

Learning to Recommend via Inverse Optimal Matching.

[BibT_eX]

[DOI]

CoRR, 2018

2017

Optimal Sensor Positioning; A Probability Perspective Study.

[BibT_eX]

[DOI]

Sung Ha Kang

Seong Jun Kim

SIAM J. Sci. Comput., 2017

A Weak Galerkin Finite Element Method for a Type of Fourth Order Problem Arising from Fluorescence Tomography.

[BibT_eX]

[DOI]

Chunmei Wang

J. Sci. Comput., 2017

Seafloor identification in sonar imagery via simulations of Helmholtz equations and discrete optimization.

[BibT_eX]

[DOI]

J. Comput. Phys., 2017

Method of evolving junctions: A new approach to optimal path-planning in 2D environments with moving obstacles.

[BibT_eX]

[DOI]

Int. J. Robotics Res., 2017

Method of evolving junctions: A new approach to optimal control with constraints.

[BibT_eX]

[DOI]

Autom., 2017

Linking Micro Event History to Macro Prediction in Point Process Models.

[BibT_eX]

[DOI]

Proceedings of the 20th International Conference on Artificial Intelligence and Statistics, 2017

2016

Optimal averages for nonlinear signal decompositions - Another alternative for empirical mode decomposition.

[BibT_eX]

[DOI]

Signal Process., 2016

A Multiscale Computation for Highly Oscillatory Dynamical Systems using EMPIRICAL MODE DECOMPOSITION (EMD)-type Methods.

[BibT_eX]

[DOI]

Seong Jun Kim

Multiscale Model. Simul., 2016

2015

Path optimization with limited sensing ability.

[BibT_eX]

[DOI]

Sung Ha Kang

Seong Jun Kim

J. Comput. Phys., 2015

Hyperspectral Chemical Plume Detection Algorithms Based On Multidimensional Iterative Filtering Decomposition.

[BibT_eX]

[DOI]

Jingfang Liu

CoRR, 2015

Potential induced random teleportation on finite graphs.

[BibT_eX]

[DOI]

Shui-Nee Chow

Xiaojing Ye

Comput. Optim. Appl., 2015

2014

An inverse random source problem for the Helmholtz equation.

[BibT_eX]

[DOI]

Math. Comput., 2014

Shortest paths through 3-dimensional cluttered environments.

[BibT_eX]

[DOI]

Proceedings of the 2014 IEEE International Conference on Robotics and Automation, 2014

2010

Randomization of Forcing in Large Systems of PDEs for Improvement of Energy Estimates.

[BibT_eX]

[DOI]

Chia Ying Lee

Boris L. Rozovskii

Multiscale Model. Simul., 2010

2009

Wavelets and PDE Techniques in Image Processing, A Quick Tour of.

[BibT_eX]

[DOI]

Jianhong Shen

Proceedings of the Encyclopedia of Complexity and Systems Science, 2009

Wiener Chaos Expansion and Simulation of Electromagnetic Wave Propagation Excited by a Spatially Incoherent Source.

[BibT_eX]

[DOI]

Multiscale Model. Simul., 2009

Iterative Filtering as an Alternative Algorithm for Empirical Mode Decomposition.

[BibT_eX]

[DOI]

Luan Lin

Yang Wang

Adv. Data Sci. Adapt. Anal., 2009

2008

A Hierarchical Multiresolution Adaptive Mesh Refinement for the Solution of Evolution PDEs.

[BibT_eX]

[DOI]

Sachin Jain

Panagiotis Tsiotras

SIAM J. Sci. Comput., 2008

2007

Total Variation Wavelet Thresholding.

[BibT_eX]

[DOI]

J. Sci. Comput., 2007

Adaptive multiresolution mesh refinement for the solution of evolution PDEs.

[BibT_eX]

[DOI]

Sachin Jain

Panagiotis Tsiotras

Proceedings of the 46th IEEE Conference on Decision and Control, 2007

2006

Total Variation Wavelet Inpainting.

[BibT_eX]

[DOI]

Jianhong Shen

J. Math. Imaging Vis., 2006

Wiener Chaos expansions and numerical solutions of randomly forced equations of fluid mechanics.

[BibT_eX]

[DOI]

J. Comput. Phys., 2006

Total Variation Wavelet-Based Medical Image Denoising.

[BibT_eX]

[DOI]

Yang Wang

Int. J. Biomed. Imaging, 2006

2002

ENO-Wavelet Transforms for Piecewise Smooth Functions.

[BibT_eX]

[DOI]

SIAM J. Numer. Anal., 2002

2000

Total Variation Improved Wavelet Thresholding in Image Compression.

[BibT_eX]

[DOI]

Proceedings of the 2000 International Conference on Image Processing, 2000

1998

Feature Preserving Lossy Image Compression Using Nonlinear PDE's.

[BibT_eX]

[DOI]