Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-10T23:47:19.458404Z
Paper Citation Record · LEDGER
As of 14 August 2026, this Paper Citation Record lists 50 of 50 outbound references and 0 inbound Pith citation observations for arXiv:2412.20008.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-10T23:47:19.458404Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
50 of 50 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 8eda736d-25b6-4222-ae4e-ffa96e30fb8b · outbound
Stochastic optimization over expectation-formulated generalized Stiefel manifold Steepest descent algorithms for optimization under unitary matrix constraint
Reference 1
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation aa85100a-ea21-406c-a5db-c203613d588e · outbound
Stochastic optimization over expectation-formulated generalized Stiefel manifold Trust-region methods on riemannian manifolds
Reference 2
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation f8df705f-790d-4a66-9d98-ea2e5acfc42b · outbound
Stochastic optimization over expectation-formulated generalized Stiefel manifold Absil, R
Reference 3
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation d25fb050-ad25-4d5d-ab3c-6fb444d300c0 · outbound
Stochastic optimization over expectation-formulated generalized Stiefel manifold Newton’s method on riemannian manifolds and a geometric model for the human spine
Reference 4
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 32a62b12-30d8-444f-94d5-6affbec578d3 · outbound
Stochastic optimization over expectation-formulated generalized Stiefel manifold Stochastic approx- imation for canonical correlation analysis
Reference 5
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 7264dcdb-5633-4077-a7b0-671ef0e1eccc · outbound
Stochastic optimization over expectation-formulated generalized Stiefel manifold Riemannian manifold trust-region methods with applications to eigenprob- lems
Reference 6
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation fdaf1881-a1e3-4035-8512-8c56a26db458 · outbound
Stochastic optimization over expectation-formulated generalized Stiefel manifold Learning sparse feature representa- tions using probabilistic quadtrees and deep belief nets
Reference 7
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 5eff538e-a96c-4364-b37e-06ea06a33f4c · outbound
Stochastic optimization over expectation-formulated generalized Stiefel manifold Stochastic approximations and differential inclusions
Reference 8
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 517f3966-86c4-4c5f-b1f4-a76bde86aaf9 · outbound
Stochastic optimization over expectation-formulated generalized Stiefel manifold Non-convex phase retrieval from stft measurements
Reference 9
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 111dfc7c-e84f-474c-b35f-f305b6c027da · outbound
Stochastic optimization over expectation-formulated generalized Stiefel manifold Subgradient sampling for nonsmooth nonconvex minimization
Reference 10
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 4ad95a0d-9366-4f5e-8a06-3c5ea3ec8965 · outbound
Stochastic optimization over expectation-formulated generalized Stiefel manifold Stochastic first-order methods for convex and nonconvex functional constrained optimization
Reference 11
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 01368d39-ac58-4fe0-b584-c963f95920b9 · outbound
Stochastic optimization over expectation-formulated generalized Stiefel manifold An introduction to optimization on smooth manifolds
Reference 12
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 450eedad-6d47-4287-9bdd-374806d319c9 · outbound
Stochastic optimization over expectation-formulated generalized Stiefel manifold Manopt, a matlab toolbox for optimization on manifolds
Reference 13
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 6f802841-8ddb-4c21-bf43-a2e22e7b23c3 · outbound
Stochastic optimization over expectation-formulated generalized Stiefel manifold Sparse CCA via Precision Adjusted Iterative Thresholding
Reference 14
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation bf3f9dc7-5628-411a-9525-ef72ab886277 · outbound
Stochastic optimization over expectation-formulated generalized Stiefel manifold Solving stochastic compositional optimization is nearly as easy as solving stochastic optimization
Reference 15
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation cb1cd21b-0e0c-41c2-8ab9-e1c8419f1a28 · outbound
Stochastic optimization over expectation-formulated generalized Stiefel manifold On the Convergence of A Class of Adam-Type Algorithms for Non-Convex Optimization
Reference 16
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 857eec86-947e-499b-aa78-f97ab49c6236 · outbound
Stochastic optimization over expectation-formulated generalized Stiefel manifold An Orthogonalization-Free Parallelizable Framework for All-Electron Calculations in Density Functional Theory
Reference 17
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 2c86febf-dfa9-49ec-823e-7ab0e173f8b2 · outbound
Stochastic optimization over expectation-formulated generalized Stiefel manifold Sparse GCA and Thresholded Gradient Descent
Reference 18
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 3af1b293-c5d8-4d81-b50a-0ab0f58753f4 · outbound
Stochastic optimization over expectation-formulated generalized Stiefel manifold Efficient algorithms for large- scale generalized eigenvector computation and canonical correlation analysis
Reference 19
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation c9cb4984-2f22-42f2-a96e-63b79d45a724 · outbound
Stochastic optimization over expectation-formulated generalized Stiefel manifold A single timescale stochastic approxi- mation method for nested stochastic optimization
Reference 20
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 5adbec97-bb51-4c36-91fa-cae003b89868 · outbound
Stochastic optimization over expectation-formulated generalized Stiefel manifold Hardoon, Sandor Szedmak, and John Shawe-Taylor
Reference 21
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 8d9d1866-ff2f-42aa-8057-03747c6e3e8d · outbound
Stochastic optimization over expectation-formulated generalized Stiefel manifold Relations between two sets of variables
Reference 22
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation aa8e283f-49e6-46c9-9351-80c7043f64af · outbound
Stochastic optimization over expectation-formulated generalized Stiefel manifold Generalized canonical correlations and their application to experimental data
Reference 23
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 95ca01b8-d45e-4326-aa6e-cd6e2a581312 · outbound
Stochastic optimization over expectation-formulated generalized Stiefel manifold A brief introduction to manifold opti- mization
Reference 24
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation ab19b73c-2d99-4be6-be81-c9d8281c8ba7 · outbound
Stochastic optimization over expectation-formulated generalized Stiefel manifold A broyden class of quasi-newton methods for riemannian optimization
Reference 25
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 714755b0-8ed4-48dc-8075-c36d79a43557 · outbound
Stochastic optimization over expectation-formulated generalized Stiefel manifold Robust estimation of a location parameter
Reference 26
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 4a3d968f-3adb-4060-ab94-cb71c4b7ef8f · outbound
Stochastic optimization over expectation-formulated generalized Stiefel manifold The riemannian barzilai–borwein method with non- monotone line search and the matrix geometric mean computation
Reference 27
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation e4a18c19-9588-45d2-a39e-c98b9b56b0bc · outbound
Stochastic optimization over expectation-formulated generalized Stiefel manifold Riemannian stochastic recursive gradient algorithm
Reference 28
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 16b4432c-2449-49b0-9de3-94d67f03d8fe · outbound
Stochastic optimization over expectation-formulated generalized Stiefel manifold Unresolved cited work
Reference 29
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation fec66ed7-eb0c-4464-bcf9-2508112de02a · outbound
Stochastic optimization over expectation-formulated generalized Stiefel manifold Adam: A Method for Stochastic Optimization
Reference 30
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a66505fb-526b-47b4-9348-8448ee8452a9 · outbound
Stochastic optimization over expectation-formulated generalized Stiefel manifold Nonsmooth nonconvex stochastic heavy ball
Reference 31
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 3d045f2f-0bbb-411a-b212-268cf4cb008d · outbound
Stochastic optimization over expectation-formulated generalized Stiefel manifold The mnist database of handwritten digits
Reference 32
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 12f153bc-c83a-4d66-ba06-92255014624c · outbound
Stochastic optimization over expectation-formulated generalized Stiefel manifold Stochastic Inexact Augmented Lagrangian Method for Nonconvex Expectation Constrained Optimization
Reference 33
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 4aaad49c-5a17-4802-a13a-5054714492f4 · outbound
Stochastic optimization over expectation-formulated generalized Stiefel manifold Linear discriminant analysis: New formulations and overfit analysis
Reference 34
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation b138697c-7c3d-476f-b6f9-d9b8d71d9cb9 · outbound
Stochastic optimization over expectation-formulated generalized Stiefel manifold Quadratically Regularized Subgradient Methods for Weakly Convex Optimization with Weakly Convex Constraints
Reference 35
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 754e4acd-81ee-4f38-9e2f-e20b20e84627 · outbound
Stochastic optimization over expectation-formulated generalized Stiefel manifold Finding linear structure in large datasets with scalable canonical correlation analysis
Reference 36
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 94f4bfbc-d2b4-4417-85be-7b56585df594 · outbound
Stochastic optimization over expectation-formulated generalized Stiefel manifold An online riemannian pca for stochastic canonical correlation analysis
Reference 37
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation afc17ca9-791b-4527-a485-9c437a416af1 · outbound
Stochastic optimization over expectation-formulated generalized Stiefel manifold Numerical optimization
Reference 38
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2642a459-a2a4-48aa-83da-530b3ddec712 · outbound
Stochastic optimization over expectation-formulated generalized Stiefel manifold Riemannian conjugate gradient methods: General framework and specific algo- rithms with convergence analyses
Reference 39
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 4941a08e-a4b3-4cb2-a010-689f1ce133f8 · outbound
Stochastic optimization over expectation-formulated generalized Stiefel manifold Cholesky QR-based retraction on the generalized Stiefel manifold
Reference 40
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 857b9d8d-9100-4ff4-80b6-6ab9a3b0d536 · outbound
Stochastic optimization over expectation-formulated generalized Stiefel manifold A new, globally convergent riemannian conjugate gradient method
Reference 41
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 2198431e-d197-4a93-b668-bb8e771dc916 · outbound
Stochastic optimization over expectation-formulated generalized Stiefel manifold Riemannian optimization with a preconditioning scheme on the generalized Stiefel manifold
Reference 42
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 027b71c7-f755-4570-8ae2-3b330a658d26 · outbound
Stochastic optimization over expectation-formulated generalized Stiefel manifold The challenge problem for automated detection of 101 semantic concepts in multi- media
Reference 43
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 51c06b11-f319-4f4b-a7d5-e9a8fc82408f · outbound
Stochastic optimization over expectation-formulated generalized Stiefel manifold Minimum generalized variance for a set of linear functions
Reference 44
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 2847e2ce-42ac-4d4e-8e02-1de0415c7676 · outbound
Stochastic optimization over expectation-formulated generalized Stiefel manifold Generalized Canonical Correlation Analysis: A Subspace Intersection Approach
Reference 45
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation fbaa098c-77a3-4359-9e2d-cf858cf9778e · outbound
Stochastic optimization over expectation-formulated generalized Stiefel manifold Optimization without retraction on the random generalized stiefel manifold
Reference 46
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation daf513eb-93ce-4350-a22d-7e829873e25e · outbound
Stochastic optimization over expectation-formulated generalized Stiefel manifold Stochastic compositional gradient descent: algorithms for minimizing compositions of expected-value functions
Reference 47
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 425f49d0-32e0-4bf0-b519-9f700f69ff91 · outbound
Stochastic optimization over expectation-formulated generalized Stiefel manifold Accelerating stochastic composition optimization
Reference 48
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 69515468-3184-4c5e-a4dd-55bc3a9581d1 · outbound
Stochastic optimization over expectation-formulated generalized Stiefel manifold Dissolving Constraints for Riemannian Optimization
Reference 49
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation e1f02ee6-d075-4fb4-b9fa-e2bcf7f26dd2 · outbound
Stochastic optimization over expectation-formulated generalized Stiefel manifold A stochastic composite gradient method with incremental variance reduction
Reference 50
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
No inbound Pith citation observations are available.