no code implementations • 20 Jan 2024 • Nanjie Chen, Dongliang Yu, Dmitri Beglov, Mark Kon, Julio Enrique Castrillon-Candas
Recent advancements in protein docking site prediction have highlighted the limitations of traditional rigid docking algorithms, like PIPER, which often neglect critical stochastic elements such as solvent-induced fluctuations.
no code implementations • 10 Jan 2024 • Xinying Mu, Mark Kon
This network representation allows us to view feature vectors as functions on the network.
no code implementations • 11 Jul 2022 • Julio E Castrillon-Candas, Mark Kon
An optimal vector field Karhunen-Loeve expansion is applied to such random field data.
no code implementations • 19 Oct 2021 • Wenrui Li, Xiaoyu Wang, Yuetian Sun, Snezana Milanovic, Mark Kon, Julio Enrique Castrillon-Candas
A potentially critical predicate for application of machine learning methods to datasets involves addressing this problem.
no code implementations • 4 Oct 2021 • Julio Enrique Castrillon-Candas, Dingning Liu, Sicheng Yang, Mark Kon
To uncover the separation between these classes, we employ the Karhunen-Loeve expansion and construct the appropriate subspaces.
no code implementations • 16 Dec 2020 • Julio Enrique Castrillon-Candas, Mark Kon
We develop a new approach for detecting changes in the behavior of stochastic processes and random fields based on tensor product representations such as the Karhunen-Lo\`{e}ve expansion.
Probability Functional Analysis Statistics Theory Statistics Theory
no code implementations • 19 Dec 2012 • Yue Fan, Louise Raphael, Mark Kon
Such feature vector regularization inherits a property from function denoising on ${\bf R}^n$, in that accuracy is non-monotonic in the denoising (regularization) parameter $\alpha$.