mlsanityData to 7 Oct 2026

A generalized power iteration method for solving quadratic problem on the Stiefel manifold

arXiv 1701.00381 ↗First posted 2 Jan 2017cs.DScited by 15

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Abstract (arXiv)

In this paper, we first propose a novel generalized power iteration method (GPI) to solve the quadratic problem on the Stiefel manifold (QPSM) as min_{W^TW=I}Tr(W^TAW-2W^TB) along with the theoretical analysis. Accordingly, its special case known as the orthogonal least square regression (OLSR) is under further investigation. Based on the aforementioned studies, we then cast major focus on solving the unbalanced orthogonal procrustes problem (UOPP). As a result, not only a general convergent algorithm is derived theoretically but the efficiency of the proposed approach is verified empirically as well.

Key facts. Cited by 15 papers in the map (data through 7 Oct 2026). First posted on arXiv 2 Jan 2017.

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Citing papers per year: 2021: 1; 2022: 2; 2023: 4; 2024: 3; 2025: 4; 2026: 1.

15 papers.

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  1. 2023Inductive Graph Unlearningcited by 30
  2. 2023Contrastive Continual Multi-view Clustering with Filtered Structural Fusioncited by 4
  3. 2021Trace Ratio Optimization with an Application to Multi-view Learningcited by 2
  4. 2023A Restarted Large-Scale Spectral Clustering with Self-Guiding and Block Diagonal Representationcited by 2
  5. 2022Deep Manifold Learning with Graph Miningcited by 1
  6. 2024Embedded Multi-label Feature Selection via Orthogonal Regressioncited by 1
  7. 2022Unified Multi-View Orthonormal Non-Negative Graph Based Clustering Frameworkcited by 0
  8. 2023One-step Bipartite Graph Cut: A Normalized Formulation and Its Application to Scalable Subspace Clusteringcited by 0
  9. 2024NPSVC++: Nonparallel Classifiers Encounter Representation Learningcited by 0
  10. 2024Causally-Aware Unsupervised Feature Selection Learningcited by 0
  11. 2025Beyond Correlation: Causal Multi-View Unsupervised Feature Selection Learningcited by 0
  12. 2025Incomplete Depression Feature Selection with Missing EEG Channelscited by 0
3 more
  1. 2025Structure-aware Hybrid-order Similarity Learning for Multi-view Unsupervised Feature Selectioncited by 0
  2. 2025Unsupervised Feature Selection via Robust Autoencoder and Adaptive Graph Learningcited by 0
  3. 2026Kernel Alignment-based Multi-view Unsupervised Feature Selection with Sample-level Adaptive Graph Learningcited by 0