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      03/20/2022
    Over-parameterization: A Necessary Condition for Models that Extrapolate
In this work, we study over-parameterization as a necessary condition fo...
          
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      03/19/2022
    Deep Learning Generalization, Extrapolation, and Over-parameterization
We study the generalization of over-parameterized deep networks (for ima...
          
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      02/05/2022
    Decision boundaries and convex hulls in the feature space that deep learning functions learn from images
The success of deep neural networks in image classification and learning...
          
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      01/27/2022
    To what extent should we trust AI models when they extrapolate?
Many applications affecting human lives rely on models that have come to...
          
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      12/22/2021
    Community Detection in Medical Image Datasets: Using Wavelets and Spectral Methods
Medical image datasets can have large number of images representing pati...
          
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      12/13/2021
    A Homotopy Algorithm for Optimal Transport
The optimal transport problem has many applications in machine learning,...
          
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      12/06/2021
    Extrapolation Frameworks in Cognitive Psychology Suitable for Study of Image Classification Models
We study the functional task of deep learning image classification model...
          
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      03/01/2021
    Federated Learning without Revealing the Decision Boundaries
We consider the recent privacy preserving methods that train the models ...
          
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      02/21/2021
    A Sketching Method for Finding the Closest Point on a Convex Hull
We develop a sketching algorithm to find the point on the convex hull of...
          
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      01/25/2021
    Deep Learning Generalization and the Convex Hull of Training Sets
We study the generalization of deep learning models in relation to the c...
          
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      06/17/2020
    Using Wavelets and Spectral Methods to Study Patterns in Image-Classification Datasets
Deep learning models extract, before a final classification layer, featu...
          
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      02/24/2020
    Using wavelets to analyze similarities in image datasets
Deep learning image classifiers usually rely on huge training sets and t...
          
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      01/03/2020
    Auditing and Debugging Deep Learning Models via Decision Boundaries: Individual-level and Group-level Analysis
Deep learning models have been criticized for their lack of easy interpr...
          
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      08/07/2019
    Investigating Decision Boundaries of Trained Neural Networks
Deep learning models have been the subject of study from various perspec...
          
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      08/06/2019
    Refining the Structure of Neural Networks Using Matrix Conditioning
Deep learning models have proven to be exceptionally useful in performin...
          
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      03/21/2019