Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-11T12:47:48.232661Z
Paper Citation Record · LEDGER
As of 16 August 2026, this Paper Citation Record lists 75 of 75 outbound references and 0 inbound Pith citation observations for arXiv:2412.13928.
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 2026-08-11T12:47:48.232661Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+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
75 of 75 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation c953767f-15fc-4129-af3c-10ee7ee88bcd · outbound
Subspace Langevin Monte Carlo Efficientconstrainedsamplingviathemirror-langevin algorithm
Reference 1
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation d53601b6-cfcb-46e4-96ab-9818dd7ac765 · outbound
Subspace Langevin Monte Carlo The fast Johnson–Lindenstrauss transform and approximate nearest neighbors.SIAM Journal on Computing, 39(1):302–322, 2009
Reference 2
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 10ea95b9-27d6-4e1d-abbe-54591b0f36de · outbound
Subspace Langevin Monte Carlo Springer Science & Business Media, 2008
Reference 3
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8b344bd8-ea91-4f4d-a74c-84212a13c441 · outbound
Subspace Langevin Monte Carlo High- dimensional sgd aligns with emerging outlier eigenspaces
Reference 4
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 1d65d0d9-40bd-40f1-a1df-c4dcd9e3d982 · outbound
Subspace Langevin Monte Carlo Fast Sampling and Inference via Preconditioned Langevin Dynamics
Reference 5
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ef26b072-850e-4796-ab25-7160cd5a0996 · outbound
Subspace Langevin Monte Carlo Efficientgradient flows in sliced-Wasserstein space.Transactions on Machine Learning Research, 2022
Reference 6
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 152b93ea-9001-4110-adae-057fd4557ac3 · outbound
Subspace Langevin Monte Carlo Mirror and Preconditioned Gradient Descent in Wasserstein Space
Reference 7
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 46a8ba85-88ab-4c93-a26b-892b1e297881 · outbound
Subspace Langevin Monte Carlo Sliced and Radon Wasserstein barycenters of measures.Journal of Mathematical Imaging and Vision, 51: 22–45, 2015
Reference 8
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation f09be30b-91ff-4fa3-a0c2-dea3f10678d2 · outbound
Subspace Langevin Monte Carlo Finding frequent items in data streams
Reference 9
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f83abb2f-f733-4ba1-8537-5b5367417cfd · outbound
Subspace Langevin Monte Carlo Exploring low-dimensional subspaces in diffusion models for controllable image editing
Reference 10
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 80c6bdd1-d13d-4d40-9fed-4e95fbd6e9e1 · outbound
Subspace Langevin Monte Carlo Improved analysis for a proximal algorithm for sampling
Reference 11
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation db809801-5086-4e78-b45e-9ae7d7ada28c · outbound
Subspace Langevin Monte Carlo Log-concave sampling
Reference 12
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation b97a66b9-2b3b-4b90-9f01-0ad9c9b952d4 · outbound
Subspace Langevin Monte Carlo Exponential ergodicity of mirror-Langevin diffusions
Reference 13
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 172a6fb2-420e-4ddf-9523-2b980e6338c2 · outbound
Subspace Langevin Monte Carlo Differential privacy dynamics of langevin diffusion and noisy gradient descent
Reference 14
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 04521418-7e0d-43fc-97c9-650f1277ed97 · outbound
Subspace Langevin Monte Carlo Gradient descent with low-rank objective functions
Reference 15
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 4603cb27-423f-445a-88a0-cc2e9507c583 · outbound
Subspace Langevin Monte Carlo Low-rank gradient descent.IEEE Open Journal of Control Systems, 2023
Reference 16
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 968cde04-3d14-4a3b-a51b-982af99ada4e · outbound
Subspace Langevin Monte Carlo User-friendly guarantees for the Langevin Monte Carlo with inaccurate gradient.Stochastic Processes and their Applications, 129 (12):5278–5311, 2019
Reference 17
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation dc1afdfb-9160-403f-b566-f51af97d54cb · outbound
Subspace Langevin Monte Carlo A sparse Johnson–Lindenstrauss transform
Reference 18
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 0ca7af8a-a575-4484-bc22-8940b55bae09 · outbound
Subspace Langevin Monte Carlo Langevin monte carlo: random coordinate descent and variance reduction.Journal of machine learning research, 22(205):1–51, 2021
Reference 19
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 84ea24f5-e3ad-4de9-b071-35a1e6b74d30 · outbound
Subspace Langevin Monte Carlo Random coordinate Langevin Monte Carlo
Reference 20
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 123cc231-9319-408f-b63c-9561bf263489 · outbound
Subspace Langevin Monte Carlo Adaptive subgradient methods for online learning and stochastic optimization.Journal of machine learning research, 12(7), 2011
Reference 21
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation bcbf14b8-eaca-43f4-85d4-b770b935c4f9 · outbound
Subspace Langevin Monte Carlo High-dimensional bayesian inference via the unadjusted langevin algorithm.Bernoulli, 25(4A):2854–2882, 2019
Reference 22
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 03ab85fa-5127-4b8f-907f-4922ec248e93 · outbound
Subspace Langevin Monte Carlo Analysis of Langevin Monte Carlo via convex optimization
Reference 23
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 74faa652-0348-4b40-827f-ee2402e8c513 · outbound
Subspace Langevin Monte Carlo Sketchy: Memory-efficient adaptive regularization with frequent directions.Advances in Neural Information Processing Systems, 36, 2024
Reference 24
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation b3a3fde2-e8d7-4e46-a381-721a2bdbe7f8 · outbound
Subspace Langevin Monte Carlo Convergence analysis of prediction markets via randomized subspace descent.Advances in Neural Information Processing Systems, 28, 2015
Reference 25
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation da27c5a1-88ae-4992-8c01-c73e2d0b857e · outbound
Subspace Langevin Monte Carlo Measuring sample quality with kernels
Reference 26
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 39dc2350-dddf-4aff-931e-1702f598049c · outbound
Subspace Langevin Monte Carlo Rsn: randomized subspace Newton
Reference 27
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 7eac7f1e-406b-4016-b1f8-1c6a5a1d573c · outbound
Subspace Langevin Monte Carlo Randomized iterative methods for linear systems
Reference 28
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 83395402-b65b-4688-82ad-ba9dfe4faaae · outbound
Subspace Langevin Monte Carlo Stochastic quasi-gradient methods: Variance reduction via jacobian sketching.Mathematical Programming, 188 (1):135–192, 2021
Reference 29
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 60bb3cf2-2575-47c2-b465-b54469c7afa6 · outbound
Subspace Langevin Monte Carlo Stochastic Dual Ascent for Solving Linear Systems
Reference 30
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 148cebe4-b818-4801-81e2-90c30d76cf82 · outbound
Subspace Langevin Monte Carlo Improving neural network training in low dimensional random bases.Advances in Neural Information Processing Systems, 33:12140–12150, 2020
Reference 31
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation b5d57527-ef78-4fe1-9839-3f368f492015 · outbound
Subspace Langevin Monte Carlo Finding structure with randomness: Probabilistic algorithms for constructing approximate matrix decompositions
Reference 32
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 91a4ef99-b684-4c5a-85e3-2f47d3fafc70 · outbound
Subspace Langevin Monte Carlo Sega: Variance reduction via gradient sketching.Advances in Neural Information Processing Systems, 31, 2018
Reference 33
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation c40f3ff2-42a9-41f9-a85a-b8cabc71a699 · outbound
Subspace Langevin Monte Carlo Stochastic subspace cubic Newton method
Reference 34
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 1271388f-79e6-4225-94e2-c5d6acaee13f · outbound
Subspace Langevin Monte Carlo Denoising diffusion probabilistic models
Reference 35
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation af382f4c-2a3c-4a71-890e-58aac7acf207 · outbound
Subspace Langevin Monte Carlo Mirrored langevin dynamics
Reference 36
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 1e2f5a00-bc58-46d0-818c-a4ff1fb15a5b · outbound
Subspace Langevin Monte Carlo Communication-efficient distributed sgd with sketching
Reference 37
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 49859dd0-2e35-4757-a6b4-513cdb4e8870 · outbound
Subspace Langevin Monte Carlo On the relation between the sharpest directions of dnn loss and the sgd step length
Reference 38
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 4f98377a-176b-4f15-b64e-f70cbd7b42e7 · outbound
Subspace Langevin Monte Carlo Subspace diffusion generative models
Reference 39
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 7fba6272-1782-4933-8171-daf27050ed46 · outbound
Subspace Langevin Monte Carlo Extensions of Lipschitz maps into Banach spaces
Reference 40
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 3953ad54-7f37-4742-9771-e2a89f7f0399 · outbound
Subspace Langevin Monte Carlo The variational formulation of the fokker–planck equation.SIAM journal on mathematical analysis, 29(1):1–17, 1998
Reference 41
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d5aaa1d2-8cb9-43c1-91b0-33af6a291c35 · outbound
Subspace Langevin Monte Carlo A stochastic subspace approach to gradient-free optimization in high dimensions
Reference 42
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 6e01b433-6813-4561-9094-0b39cd4a66d5 · outbound
Subspace Langevin Monte Carlo Measuring the intrinsic dimension of objective landscapes
Reference 43
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0ff4c4dc-783b-4212-b818-0e5ddb0bcdec · outbound
Subspace Langevin Monte Carlo Low dimensional trajectory hypothesis is true: DNNs can be trained in tiny subspaces.IEEE Transactions on Pattern Analysis and Machine Intelligence, 45(3):3411–3420, 2022
Reference 44
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation a8cfeba0-358d-4d64-b257-95b9e76c3c6a · outbound
Subspace Langevin Monte Carlo Memory-Efficient LLM Training with Online Subspace Descent
Reference 45
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 33fa1c7b-6f61-4dc0-a1be-4bb908969e5d · outbound
Subspace Langevin Monte Carlo Stein variational gradient descent: A general purpose Bayesian inference algorithm
Reference 46
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 25197ec3-9298-43a2-afc1-4bdfd1ecad48 · outbound
Subspace Langevin Monte Carlo Relatively smooth convex optimization by first-order methods, and applications.SIAM Journal on Optimization, 28(1):333–354, 2018
Reference 47
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5ccf4680-1478-4e01-8115-8755093c9d07 · outbound
Subspace Langevin Monte Carlo A complete recipe for stochastic gradient MCMC
Reference 48
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 9ce4135d-1625-42f5-b17f-8df9a427dac5 · outbound
Subspace Langevin Monte Carlo Sampling in unit time with kernel fisher-rao flow
Reference 49
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 93121d04-91ba-4724-97e2-ed5fe3f599cb · outbound
Subspace Langevin Monte Carlo McMahan and Matthew Streeter
Reference 50
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 6e2f2045-91b0-4e76-9f2a-37e2e29f57a0 · outbound
Subspace Langevin Monte Carlo Efficiency of coordinate descent methods on huge-scale optimization problems
Reference 51
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation fc51b5c0-8511-4c9e-8135-96ae1bcd6e34 · outbound
Subspace Langevin Monte Carlo Random gradient-free minimization of convex functions
Reference 52
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2c0503c0-fe07-4099-aa7a-91fdba5ed08b · outbound
Subspace Langevin Monte Carlo Lyapunov functions: An optimization theory perspective
Reference 53
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 595b8926-531e-4d8e-aa7d-173ef3dc2b64 · outbound
Subspace Langevin Monte Carlo High-resolution image synthesis with latent diffusion models
Reference 54
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation bb1a4f64-f1d7-4270-a078-4cda9142ac7e · outbound
Subspace Langevin Monte Carlo Stochastic zeroth-order discretizations of Langevin diffusions for Bayesian inference
Reference 55
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation b56649c8-1647-4fab-bfd6-53473b8b12a5 · outbound
Subspace Langevin Monte Carlo Eigenvalues of the Hessian in Deep Learning: Singularity and Beyond
Reference 56
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3b9c5a5a-030a-4c6d-9ff6-755249ea3228 · outbound
Subspace Langevin Monte Carlo Empirical Analysis of the Hessian of Over-Parametrized Neural Networks
Reference 57
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3a7b617e-5a95-4082-a17a-19469151a165 · outbound
Subspace Langevin Monte Carlo {Euclidean, metric, and Wasserstein } gradient flows: an overview
Reference 58
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation b78413e4-9b2d-4fbd-8916-6bf3dd3d6e13 · outbound
Subspace Langevin Monte Carlo Does SGD really happen in tiny subspaces?
Reference 59
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation fa5e5483-37d1-46b2-bd57-d5fd35abe9fe · outbound
Subspace Langevin Monte Carlo Score-based generative modeling through stochastic differential equations
Reference 60
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f34beebf-4c94-42d1-8061-42c23638fdb0 · outbound
Subspace Langevin Monte Carlo Rmsprop: Divide the gradient by a running average of its recent magnitude.Coursera, 2012
Reference 61
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 10c164f4-274f-49dc-9142-8d4b28ec7330 · outbound
Subspace Langevin Monte Carlo Optimal preconditioning and Fisher adaptive Langevin sampling
Reference 62
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 543e9ab6-7975-47d2-986a-cb8940b0ff79 · outbound
Subspace Langevin Monte Carlo Improved analysis of the subsampled randomized Hadamard transform
Reference 63
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 1c476c60-59ff-4724-adc3-fdbdf812f1de · outbound
Subspace Langevin Monte Carlo Theoretical guarantees for sampling and inference in generative models with latent diffusions
Reference 64
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b714cc63-3ff3-465a-ac0b-ceb7788178f1 · outbound
Subspace Langevin Monte Carlo Score-basedgenerativemodelinginlatent space
Reference 65
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 0e0ef4d9-b249-4330-8c7c-515a20dcf7ea · outbound
Subspace Langevin Monte Carlo Optimal transport: old and new, volume 338
Reference 66
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation d1af4eeb-4a9b-4665-a29c-cbdffeb7c603 · outbound
Subspace Langevin Monte Carlo Breaking the Curse of Dimensionality: Diffusion Models Efficiently Learn Low-Dimensional Distributions
Reference 67
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6789308d-cc93-4197-bf6b-a496c2dda913 · outbound
Subspace Langevin Monte Carlo Information Newton's flow: second-order optimization method in probability space
Reference 68
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation cf6bada7-43a9-4f13-967f-73c5a8324662 · outbound
Subspace Langevin Monte Carlo Sampling as optimization in the space of measures: The Langevin dynamics as a composite optimization problem
Reference 69
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation fcbeda8d-71e0-4d01-8a57-8de9c7760d0d · outbound
Subspace Langevin Monte Carlo Coordinate descent algorithms.Mathematical programming, 151(1): 3–34, 2015
Reference 70
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation e10c696c-b746-4f93-a038-eec136a0a184 · outbound
Subspace Langevin Monte Carlo Scalablestochastic gradient Riemannian Langevin dynamics in non-diagonal metrics
Reference 71
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation f035b490-cc5b-4ee2-9383-cfdb4ea138b9 · outbound
Subspace Langevin Monte Carlo Scalable semidefinite programming.SIAM Journal on Mathematics of Data Science, 3 (1):171–200, 2021
Reference 72
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 858e9c3e-81b8-428d-a3a0-9bc953796d19 · outbound
Subspace Langevin Monte Carlo Wasserstein control of mirror Langevin Monte Carlo
Reference 73
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation e85d2c33-e7ee-47ef-a9fd-ba225e0fa31e · outbound
Subspace Langevin Monte Carlo Galore: memory-efficient llm training by gradient low-rank projection
Reference 74
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 3c8766a2-16fe-4334-99ed-1eb9786f4881 · outbound
Subspace Langevin Monte Carlo 25 Thus we can apply Grönwall’s lemma tof (Zs, Z′ s) to find f (Zt, Z′ t) ≤ exp(−2 Z t 0 mds)f (Z0, Z′ 0)
Reference 75
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
No inbound Pith citation observations are available.