no code implementations • 21 Feb 2024 • Farhad Pourkamali-Anaraki, Jamal F. Husseini, Scott E. Stapleton
This paper investigates the use of probabilistic neural networks (PNNs) to model aleatoric uncertainty, which refers to the inherent variability in the input-output relationships of a system, often characterized by unequal variance or heteroscedasticity.
1 code implementation • 8 Feb 2024 • Farhad Pourkamali-Anaraki, Tahamina Nasrin, Robert E. Jensen, Amy M. Peterson, Christopher J. Hansen
A pivotal aspect in the design of neural networks lies in selecting activation functions, crucial for introducing nonlinear structures that capture intricate input-output patterns.
no code implementations • 4 Jan 2024 • Farhad Pourkamali-Anaraki, Jamal F. Husseini, Evan J. Pineda, Brett A. Bednarcyk, Scott E. Stapleton
This paper introduces a novel two-stage machine learning-based surrogate modeling framework to address inverse problems in scientific and engineering fields.
no code implementations • 13 Jul 2022 • Yasin Findik, Farhad Pourkamali-Anaraki
Continual learning -- accumulating knowledge from a sequence of learning experiences -- is an important yet challenging problem.
no code implementations • 18 Sep 2021 • Parisa Hajibabaee, Farhad Pourkamali-Anaraki, Mohammad Amin Hariri-Ardebili
A fundamental task in machine learning involves visualizing high-dimensional data sets that arise in high-impact application domains.
no code implementations • 19 Sep 2020 • Farhad Pourkamali-Anaraki, Mohammad Amin Hariri-Ardebili, Lydia Morawiec
The first contribution is to propose a novel landmark selection method that promotes diversity using an efficient two-step approach.
no code implementations • 25 Jun 2020 • Farhad Pourkamali-Anaraki
To address the limitations, this work presents a principled spectral clustering algorithm that exploits spectral properties of the similarity matrix associated with sampled points to regulate accuracy-efficiency trade-offs.
no code implementations • 7 Jun 2020 • Sina Sharif Mansouri, Farhad Pourkamali-Anaraki, Miguel Castano Arranz, Ali-akbar Agha-mohammadi, Joel Burdick, George Nikolakopoulos
This article proposes a novel unsupervised learning framework for detecting the number of tunnel junctions in subterranean environments based on acquired 2D point clouds.
no code implementations • 18 Nov 2019 • Farhad Pourkamali-Anaraki, Michael B. Wakin
The high cost of acquiring labels is one of the main challenges in deploying supervised machine learning algorithms.
no code implementations • 2 Aug 2019 • Farhad Pourkamali-Anaraki
Subspace clustering methods based on expressing each data point as a linear combination of all other points in a dataset are popular unsupervised learning techniques.
1 code implementation • 17 Apr 2018 • Farhad Pourkamali-Anaraki, James Folberth, Stephen Becker
The $\ell_0$ model is non-convex but only needs memory linear in $n$, and is solved via orthogonal matching pursuit and cannot handle the case of affine subspaces.
no code implementations • 8 Aug 2017 • Farhad Pourkamali-Anaraki, Stephen Becker
The Nystrom method is a popular technique that uses a small number of landmark points to compute a fixed-rank approximation of large kernel matrices that arise in machine learning problems.
no code implementations • 20 Dec 2016 • Farhad Pourkamali-Anaraki, Stephen Becker
Moreover, we introduce a randomized algorithm for generating landmark points that is scalable to large-scale data sets.
no code implementations • 26 Aug 2016 • Farhad Pourkamali-Anaraki, Stephen Becker
Kernel-based K-means clustering has gained popularity due to its simplicity and the power of its implicit non-linear representation of the data.
no code implementations • 30 Dec 2015 • Farhad Pourkamali-Anaraki
Experimental results demonstrate that our approach allows for accurate estimation of the sample covariance matrix on several real-world data sets, including video data.
2 code implementations • 31 Oct 2015 • Farhad Pourkamali-Anaraki, Stephen Becker
We analyze a compression scheme for large data sets that randomly keeps a small percentage of the components of each data sample.
no code implementations • 5 Apr 2015 • Farhad Pourkamali-Anaraki, Stephen Becker, Shannon M. Hughes
Performing signal processing tasks on compressive measurements of data has received great attention in recent years.