no code implementations • 15 Mar 2024 • Mohammad Shifat E Rabbi, Naqib Sad Pathan, Shiying Li, Yan Zhuang, Abu Hasnat Mohammad Rubaiyat, Gustavo K Rohde
Our approach employs the Linear Optimal Transport (LOT) transform to obtain a linear embedding of set-structured data.
1 code implementation • 23 Aug 2023 • Abu Hasnat Mohammad Rubaiyat, Duy H. Thai, Jonathan M. Nichols, Meredith N. Hutchinson, Samuel P. Wallen, Christina J. Naify, Nathan Geib, Michael R. Haberman, Gustavo K. Rohde
This paper presents a novel data-driven approach to identify partial differential equation (PDE) parameters of a dynamical system.
1 code implementation • 28 Jul 2023 • Le Gong, Shiying Li, Naqib Sad Pathan, Mohammad Shifat-E-Rabbi, Gustavo K. Rohde, Abu Hasnat Mohammad Rubaiyat, Sumati Thareja
Here we describe a new image representation technique based on the mathematics of transport and optimal transport.
no code implementations • 2 Feb 2023 • Mohammad Shifat E Rabbi, Abu Hasnat Mohammad Rubaiyat, Yan Zhuang, Gustavo K Rohde
These methods often require extensive training data, are computationally expensive, and are vulnerable to out-of-distribution samples, e. g., adversarial attacks.
no code implementations • 4 Jun 2022 • Shiying Li, Abu Hasnat Mohammad Rubaiyat, Gustavo K. Rohde
Transport-based metrics and related embeddings (transforms) have recently been used to model signal classes where nonlinear structures or variations are present.
1 code implementation • 30 Apr 2022 • Abu Hasnat Mohammad Rubaiyat, Shiying Li, Xuwang Yin, Mohammad Shifat E Rabbi, Yan Zhuang, Gustavo K. Rohde
This paper presents a new end-to-end signal classification method using the signed cumulative distribution transform (SCDT).
1 code implementation • 22 Feb 2022 • Yan Zhuang, Shiying Li, Mohammad Shifat-E-Rabbi, Xuwang Yin, Abu Hasnat Mohammad Rubaiyat, Gustavo K. Rohde
Face recognition is then performed using a nearest subspace in R-CDT domain of local gradient distributions.
2 code implementations • 9 Jan 2022 • Mohammad Shifat E Rabbi, Yan Zhuang, Shiying Li, Abu Hasnat Mohammad Rubaiyat, Xuwang Yin, Gustavo K. Rohde
However, they are known to underperform when training data are limited and thus require data augmentation strategies that render the method computationally expensive and not always effective.
1 code implementation • 11 Oct 2021 • Abu Hasnat Mohammad Rubaiyat, Mohammad Shifat-E-Rabbi, Yan Zhuang, Shiying Li, Gustavo K. Rohde
This paper presents a new method to classify 1D signals using the signed cumulative distribution transform (SCDT).
3 code implementations • 7 Apr 2020 • Mohammad Shifat-E-Rabbi, Xuwang Yin, Abu Hasnat Mohammad Rubaiyat, Shiying Li, Soheil Kolouri, Akram Aldroubi, Jonathan M. Nichols, Gustavo K. Rohde
We present a new supervised image classification method applicable to a broad class of image deformation models.