no code implementations • 8 Feb 2024 • Jasan Zughaibi, Bradley J. Nelson, Michael Muehlebach
This greatly expands the range of potential medical applications and includes even dynamic environments as encountered in cardiovascular interventions.
no code implementations • 15 May 2022 • Lek-Heng Lim, Bradley J. Nelson
We explain equivariant neural networks, a notion underlying breakthroughs in machine learning from deep convolutional neural networks for computer vision to AlphaFold 2 for protein structure prediction, without assuming knowledge of equivariance or neural networks.
1 code implementation • 31 Jan 2022 • Bradley J. Nelson, Yuan Luo
Dimensionality reduction techniques are powerful tools for data preprocessing and visualization which typically come with few guarantees concerning the topological correctness of an embedding.
no code implementations • 22 Nov 2021 • Deqing Fu, Bradley J. Nelson
Dense prediction tasks such as depth perception and semantic segmentation are important applications in computer vision that have a concrete topological description in terms of partitioning an image into connected components or estimating a function with a small number of local extrema corresponding to objects in the image.
no code implementations • 2 Jul 2020 • Francois Drielsma, Qing Lin, Pierre Côte de Soux, Laura Dominé, Ran Itay, Dae Heun Koh, Bradley J. Nelson, Kazuhiro Terao, Ka Vang Tsang, Tracy L. Usher
The optimized algorithm is then applied to the related task of clustering particle instances into interactions and yields a mean ARI of 99. 2 % for an interaction density of $\sim\mathcal{O}(1)\, m^{-3}$.
no code implementations • 26 Sep 2019 • Ruoxi Yu, Samuel L. Charreyron, Quentin Boehler, Cameron Weibel, Carmen C. Y. Poon, Bradley J. Nelson
In this paper, we use a random forest (RF) and an artificial neural network (ANN) to model the nonlinear behavior of the magnetic fields generated by an eMNS.
3 code implementations • 29 May 2019 • Rickard Brüel-Gabrielsson, Bradley J. Nelson, Anjan Dwaraknath, Primoz Skraba, Leonidas J. Guibas, Gunnar Carlsson
Topology applied to real world data using persistent homology has started to find applications within machine learning, including deep learning.