activity
20172026
most citedGeneralized Canonical Polyadic Tensor Decomposition

148 citations · 217 across the 7 of their papers we have counts for

collaborators

9 papers

math.NA2026

Generalized Canonical Polyadic Tensor Decompositions with General Symmetry

Alex Mulrooney, David Hong

Canonical Polyadic (CP) tensor decomposition is a workhorse algorithm for discovering underlying low-dimensional structure in tensor data. This is accomplished in conventional CP d…

math.ST2025

Network Signflip Parallel Analysis for Selecting the Embedding Dimension

David Hong, Joshua Cape

This paper investigates the problem of selecting the embedding dimension for large heterogeneous networks that have weakly distinguishable community structure. For a broad family o…

math.ST2020

Selecting the number of components in PCA via random signflips

David Hong, Yue Sheng, Edgar Dobriban

Principal component analysis (PCA) is a foundational tool in modern data analysis, and a crucial step in PCA is selecting the number of components to keep. However, classical selec…

math.DS2020★ 7 cited

Generic Properties of Koopman Eigenfunctions for Stable Fixed Points and Periodic Orbits

Matthew D. Kvalheim, David Hong, Shai Revzen

Our recent work established existence and uniqueness results for globally defined linearizing semiconjugacies for flows having a gl…

cs.LG2020★ 4 cited

Provable tradeoffs in adversarially robust classification

Edgar Dobriban, Hamed Hassani, David Hong +1

It is well known that machine learning methods can be vulnerable to adversarially-chosen perturbations of their inputs. Despite significant progress in the area, foundational open…

eess.SP2020★ 1 cited

Baseline Estimation of Commercial Building HVAC Fan Power Using Tensor Completion

Shunbo Lei, David Hong, Johanna L. Mathieu +1

Commercial building heating, ventilation, and air conditioning (HVAC) systems have been studied for providing ancillary services to power grids via demand response (DR). One critic…

math.NA2019★ 49 cited

Stochastic Gradients for Large-Scale Tensor Decomposition

Tamara G. Kolda, David Hong

Tensor decomposition is a well-known tool for multiway data analysis. This work proposes using stochastic gradients for efficient generalized canonical polyadic (GCP) tensor decomp…

math.NA2018★ 148 cited

Generalized Canonical Polyadic Tensor Decomposition

David Hong, Tamara G. Kolda, Jed A. Duersch

Tensor decomposition is a fundamental unsupervised machine learning method in data science, with applications including network analysis and sensor data processing. This work devel…

cs.CV2017★ 8 cited

Subspace Clustering using Ensembles of -Subspaces

John Lipor, David Hong, Yan Shuo Tan +1

Subspace clustering is the unsupervised grouping of points lying near a union of low-dimensional linear subspaces. Algorithms based directly on geometric properties of such data te…