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12/01/2022
Learning Transition Operators From Sparse Space-Time Samples
We consider the nonlinear inverse problem of learning a transition opera...
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08/04/2022
Learning Interaction Variables and Kernels from Observations of Agent-Based Systems
Dynamical systems across many disciplines are modeled as interacting par...
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07/12/2022
Unsupervised learning of observation functions in state-space models by nonparametric moment methods
We investigate the unsupervised learning of non-invertible observation f...
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08/26/2021
Machine Learning for Discovering Effective Interaction Kernels between Celestial Bodies from Ephemerides
Building accurate and predictive models of the underlying mechanisms of ...
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04/05/2021
Nonlinear model reduction for slow-fast stochastic systems near manifolds
We introduce a nonlinear stochastic model reduction technique for high-d...
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01/30/2021
Learning Interaction Kernels for Agent Systems on Riemannian Manifolds
Interacting agent and particle systems are extensively used to model com...
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01/13/2021
Multiscale regression on unknown manifolds
We consider the regression problem of estimating functions on ℝ^D but su...
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10/21/2020
Anatomically-Informed Deep Learning on Contrast-Enhanced Cardiac MRI for Scar Segmentation and Clinical Feature Extraction
Many cardiac diseases are associated with structural remodeling of the m...
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10/08/2020
Learning Theory for Inferring Interaction Kernels in Second-Order Interacting Agent Systems
Modeling the complex interactions of systems of particles or agents is a...
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07/30/2020
Learning interaction kernels in stochastic systems of interacting particles from multiple trajectories
We consider stochastic systems of interacting particles or agents, with ...
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02/23/2020
Conditional regression for single-index models
The single-index model is a statistical model for intrinsic regression w...
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12/27/2019
On the identifiability of interaction functions in systems of interacting particles
Identifiability is of fundamental importance in the statistical learning...
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12/23/2019
Data-driven Discovery of Emergent Behaviors in Collective Dynamics
Particle- and agent-based systems are a ubiquitous modeling tool in many...
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10/10/2019
Learning interaction kernels in heterogeneous systems of agents from multiple trajectories
Systems of interacting particles or agents have wide applications in man...
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05/30/2019
Learning by Active Nonlinear Diffusion
This article proposes an active learning method for high dimensional dat...
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02/08/2019
Spectral-Spatial Diffusion Geometry for Hyperspectral Image Clustering
An unsupervised learning algorithm to cluster hyperspectral image (HSI) ...
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12/14/2018
Nonparametric inference of interaction laws in systems of agents from trajectory data
Inferring the laws of interaction between particles and agents in comple...
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10/15/2018
Learning by Unsupervised Nonlinear Diffusion
This paper proposes and analyzes a novel clustering algorithm that combi...
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12/17/2017
Path-Based Spectral Clustering: Guarantees, Robustness to Outliers, and Fast Algorithms
We consider the problem of clustering with the longest leg path distance...
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09/05/2017
Linear Optimal Low Rank Projection for High-Dimensional Multi-Class Data
Classification of individual samples into one or more categories is crit...
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11/03/2016
Adaptive Geometric Multiscale Approximations for Intrinsically Low-dimensional Data
We consider the problem of efficiently approximating and encoding high-d...
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09/16/2016
Discovering Relationships and their Structures Across Disparate Data Modalities
Determining whether certain properties are related to other properties i...
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09/24/2015
High Dimensional Data Modeling Techniques for Detection of Chemical Plumes and Anomalies in Hyperspectral Images and Movies
We briefly review recent progress in techniques for modeling and analyzi...
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06/10/2015
Randomer Forests
Random forests (RF) is a popular general purpose classifier that has bee...
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12/05/2012
Multiscale Markov Decision Problems: Compression, Solution, and Transfer Learning
Many problems in sequential decision making and stochastic control often...
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05/25/2011