Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-12T11:36:52.894942Z
Paper Citation Record · LEDGER
As of 15 August 2026, this Paper Citation Record lists 54 of 54 outbound references and 1 inbound Pith citation observation for arXiv:2412.00088.
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 2026-08-12T11:36:52.894942Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-07T11:47:51.822844Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-08-07T11:47:51.942609Z
54 of 54 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 4225fce7-4adc-4a52-a6a9-9dfb46c0b09b · outbound
Stochastic Taylor Derivative Estimator: Efficient amortization for arbitrary differential operators Tutorial on amortized optimization, April 2023
Reference 1
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 189b80e8-ca52-415c-9312-0afbdcd18a84 · outbound
Stochastic Taylor Derivative Estimator: Efficient amortization for arbitrary differential operators Gradients without Backpropagation
Reference 2
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0ab1ba34-442f-44bd-8106-a879359e975a · outbound
Stochastic Taylor Derivative Estimator: Efficient amortization for arbitrary differential operators Deep splitting method for parabolic PDEs
Reference 3
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation fc545036-8e89-4663-b963-e1e97e68a176 · outbound
Stochastic Taylor Derivative Estimator: Efficient amortization for arbitrary differential operators Numerical simulations for full history recursive multilevel Picard approximations for systems of high-dimensional partial differential equations
Reference 4
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5cc3add9-ae50-4179-8e10-018a336ebdfd · outbound
Stochastic Taylor Derivative Estimator: Efficient amortization for arbitrary differential operators Tadiff , a flexible c + + package for automatic differentiation using taylor series expansion
Reference 5
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation f31f7b76-bb77-4a88-96cc-c215060eabce · outbound
Stochastic Taylor Derivative Estimator: Efficient amortization for arbitrary differential operators Johnson, and David Duvenaud
Reference 6
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 41cd22c9-b263-417c-b029-9b70587720d9 · outbound
Stochastic Taylor Derivative Estimator: Efficient amortization for arbitrary differential operators JAX: composable transformations of Python+NumPy programs, 2018
Reference 7
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 92ae3bb4-f65b-4b66-bdf0-feb258a3c686 · outbound
Stochastic Taylor Derivative Estimator: Efficient amortization for arbitrary differential operators Johnson-Lindenstrauss Lemma, Linear and Nonlinear Random Projections, Random Fourier Features, and Random Kitchen Sinks: Tutorial and Survey
Reference 8
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 820a11a1-6291-4d85-9ed9-d68323f3ae3d · outbound
Stochastic Taylor Derivative Estimator: Efficient amortization for arbitrary differential operators Evaluating Derivatives
Reference 9
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 2a57c7ca-e776-4c67-b89f-8864d4f21533 · outbound
Stochastic Taylor Derivative Estimator: Efficient amortization for arbitrary differential operators Solving high-dimensional partial differential equations using deep learning
Reference 10
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 6115110e-2229-4db4-aa0b-e25868151068 · outbound
Stochastic Taylor Derivative Estimator: Efficient amortization for arbitrary differential operators Learning Physics-Informed Neural Networks without Stacked Back-propagation, February
Reference 11
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation e49ec4b0-da5a-4205-9160-ab68b70ad542 · outbound
Stochastic Taylor Derivative Estimator: Efficient amortization for arbitrary differential operators Hutchinson Trace Estimation for High-Dimensional and High-Order Physics-Informed Neural Networks
Reference 12
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 0c21c2c3-203b-48dd-a887-3d0e61443149 · outbound
Stochastic Taylor Derivative Estimator: Efficient amortization for arbitrary differential operators Tackling the curse of dimensionality with physics-informed neural networks
Reference 13
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0d413ed3-36ea-4b5f-9819-422c9f830d27 · outbound
Stochastic Taylor Derivative Estimator: Efficient amortization for arbitrary differential operators Bias-Variance Trade-off in Physics-Informed Neural Networks with Randomized Smoothing for High-Dimensional PDEs
Reference 14
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a122d382-766a-4b94-bad7-0e37cb1c3139 · outbound
Stochastic Taylor Derivative Estimator: Efficient amortization for arbitrary differential operators Score-Based Physics-Informed Neural Networks for High-Dimensional Fokker-Planck Equations, February
Reference 15
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 5d04e661-72f5-4fcc-a5c9-0212d2391ba4 · outbound
Stochastic Taylor Derivative Estimator: Efficient amortization for arbitrary differential operators Hutchinson
Reference 16
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 6cd110c3-9813-4066-b131-fe98fae39278 · outbound
Stochastic Taylor Derivative Estimator: Efficient amortization for arbitrary differential operators Overcoming the curse of dimensionality in the numerical approximation of semilinear parabolic partial differential equations, July 2018
Reference 17
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 9ba67f3b-b38c-4ba4-8a8b-e4ed38c36516 · outbound
Stochastic Taylor Derivative Estimator: Efficient amortization for arbitrary differential operators Functional differentiation of computer programs
Reference 18
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 57125dce-76e5-4cbb-83be-83ea2e70e140 · outbound
Stochastic Taylor Derivative Estimator: Efficient amortization for arbitrary differential operators Kevrekidis, Lu Lu, Paris Perdikaris, Sifan Wang, and Liu Yang
Reference 19
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 7510ed7a-f30f-48af-abbf-111be903c703 · outbound
Stochastic Taylor Derivative Estimator: Efficient amortization for arbitrary differential operators Kingma and Jimmy Ba
Reference 20
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 762f9405-45e9-4389-a435-21e1c7f74d66 · outbound
Stochastic Taylor Derivative Estimator: Efficient amortization for arbitrary differential operators Regularizing score-based models with score fokker-planck equations
Reference 21
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 9626cb03-29b1-4048-a063-e11a80747607 · outbound
Stochastic Taylor Derivative Estimator: Efficient amortization for arbitrary differential operators A general construction for abstract interpretation of higher-order automatic differentiation
Reference 22
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation c6072b62-47dd-4e19-b9f4-3ca9adad09fe · outbound
Stochastic Taylor Derivative Estimator: Efficient amortization for arbitrary differential operators DOF: Accelerating high-order differential operators with forward propagation
Reference 23
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation a41a1e91-a36a-4799-9dc8-614ebf183872 · outbound
Stochastic Taylor Derivative Estimator: Efficient amortization for arbitrary differential operators Forward Laplacian: A New Computational Framework for Neural Network-based Variational Monte Carlo
Reference 24
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 585a529e-a13c-4ef0-a4d1-4b2f20599f9d · outbound
Stochastic Taylor Derivative Estimator: Efficient amortization for arbitrary differential operators A Primer on Zeroth-Order Optimization in Signal Processing and Machine Learning
Reference 25
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 2f10e7dd-12f4-4051-af88-2db89b292ac0 · outbound
Stochastic Taylor Derivative Estimator: Efficient amortization for arbitrary differential operators Unresolved cited work
Reference 26
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 83d5a2ec-620d-486f-81f6-195af41fbf09 · outbound
Stochastic Taylor Derivative Estimator: Efficient amortization for arbitrary differential operators Fine-Tuning Language Models with Just Forward Passes
Reference 27
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d74e5895-7605-4419-977c-917f1ed0208f · outbound
Stochastic Taylor Derivative Estimator: Efficient amortization for arbitrary differential operators Randomized Numerical Linear Algebra: Foundations & Algorithms
Reference 28
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f0f0036b-1aed-47d6-a83f-aa59bd9b2208 · outbound
Stochastic Taylor Derivative Estimator: Efficient amortization for arbitrary differential operators Randomized Numerical Linear Algebra : A Perspective on the Field With an Eye to Software
Reference 29
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5ee6dbcf-5932-4c14-bf7f-db0218421e86 · outbound
Stochastic Taylor Derivative Estimator: Efficient amortization for arbitrary differential operators Randomized Automatic Differentiation
Reference 30
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 1d3df6b3-62d6-470e-a7bd-7429c191b054 · outbound
Stochastic Taylor Derivative Estimator: Efficient amortization for arbitrary differential operators Efficient Learning of Generative Models via Finite-Difference Score Matching
Reference 31
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b8d3a40f-934c-48b1-a549-c792f9660da2 · outbound
Stochastic Taylor Derivative Estimator: Efficient amortization for arbitrary differential operators Lax pairs informed neural networks solving integrable systems
Reference 32
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 471e95b8-c668-49e7-9783-281d0a2ee3e0 · outbound
Stochastic Taylor Derivative Estimator: Efficient amortization for arbitrary differential operators Raissi, P
Reference 33
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 4ed8e355-5a1c-41d2-a5b9-0458a3554aea · outbound
Stochastic Taylor Derivative Estimator: Efficient amortization for arbitrary differential operators Forward-Backward Stochastic Neural Networks: Deep Learning of High-dimensional Partial Differential Equations
Reference 34
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d9b647db-9130-4cc6-94f4-d0910eb9395e · outbound
Stochastic Taylor Derivative Estimator: Efficient amortization for arbitrary differential operators Dgm: a deep learning algorithm for solving partial differential equations
Reference 35
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 008b33ab-73c7-4df3-99bf-f903ccc77a93 · outbound
Stochastic Taylor Derivative Estimator: Efficient amortization for arbitrary differential operators Modern analysis of hutchinson’s trace estimator
Reference 36
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 08777bf8-d88b-47bc-bc9f-516c47e2eebf · outbound
Stochastic Taylor Derivative Estimator: Efficient amortization for arbitrary differential operators Sliced Score Matching: A Scalable Approach to Density and Score Estimation
Reference 37
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 55217750-5c04-439b-a580-63d29aaa88e8 · outbound
Stochastic Taylor Derivative Estimator: Efficient amortization for arbitrary differential operators Score-Based Generative Modeling through Stochastic Differential Equations
Reference 38
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7df35c89-a4f4-453a-b3be-b01b2a5a0eea · outbound
Stochastic Taylor Derivative Estimator: Efficient amortization for arbitrary differential operators Unresolved cited work
Reference 39
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 5433034a-b05a-4045-95c2-d469fb195e13 · outbound
Stochastic Taylor Derivative Estimator: Efficient amortization for arbitrary differential operators High Order Reverse Mode of Automatic Differentiation
Reference 40
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation d959bf13-6063-45d5-a98d-fa4e0248b706 · outbound
Stochastic Taylor Derivative Estimator: Efficient amortization for arbitrary differential operators The deep ritz method: a deep learning-based numerical algorithm for solving variational problems
Reference 41
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 6bd6a628-4814-4e72-9bc6-8de5ee3b23fb · outbound
Stochastic Taylor Derivative Estimator: Efficient amortization for arbitrary differential operators Gradient-enhanced physics-informed neural networks for forward and inverse PDE problems
Reference 42
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5894fe3a-cdac-4cdb-a2a5-41bb69ca7f16 · outbound
Stochastic Taylor Derivative Estimator: Efficient amortization for arbitrary differential operators Weak Adversarial Networks for High-dimensional Partial Differential Equations
Reference 43
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8f31d147-1dc8-44a2-859e-7d1cf720a91c · outbound
Stochastic Taylor Derivative Estimator: Efficient amortization for arbitrary differential operators Unresolved cited work
Reference 46
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 7834d975-d468-4326-b845-334cd82a5541 · outbound
Stochastic Taylor Derivative Estimator: Efficient amortization for arbitrary differential operators , jT ) where v(j) = 0 when j ̸∈ J and jt < kfor all t ∈ [1, T], such that when setting pj = 0, j ̸∈ J qit , j = jt , (54) (p1, p2,
Reference 47
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation bafc7a29-9e0d-44c0-a7a5-accdc8f1fc1d · outbound
Stochastic Taylor Derivative Estimator: Efficient amortization for arbitrary differential operators off-diagonalness
Reference 48
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation ec6c12a7-09e3-4b7f-a8c9-fb6b485c36e2 · outbound
Stochastic Taylor Derivative Estimator: Efficient amortization for arbitrary differential operators Stacked Backward mode SDGD in JAX
Reference 49
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 9e1e00f4-d356-4fa6-bf93-327c30012c5c · outbound
Stochastic Taylor Derivative Estimator: Efficient amortization for arbitrary differential operators Unresolved cited work
Reference 50
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 78b4b1c1-1c11-453f-924d-34c831b619d9 · outbound
Stochastic Taylor Derivative Estimator: Efficient amortization for arbitrary differential operators (67) which can be expanded as utx + 6uxux + 6uuxx + uxxxx + 3σ2uyy = 0
Reference 51
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation a380ad8e-d7aa-4d13-a9ae-71ac30cb693e · outbound
Stochastic Taylor Derivative Estimator: Efficient amortization for arbitrary differential operators (71) Gradient-enhanced PINN (gPINN) [42] regularizes the learned PINN such that the gradient of the residual is close to the zero vector
Reference 52
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 8f3d7b5d-df9f-4da3-a9fa-3ab8016d92f3 · outbound
Stochastic Taylor Derivative Estimator: Efficient amortization for arbitrary differential operators Unresolved cited work
Reference 53
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 36b2b604-cea0-4711-8693-1ce2e83bbe1f · outbound
Stochastic Taylor Derivative Estimator: Efficient amortization for arbitrary differential operators None” in the “gPINN method
Reference 54
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation e8cbe8dc-581f-4c71-8de6-491482505ed2 · outbound
Stochastic Taylor Derivative Estimator: Efficient amortization for arbitrary differential operators Learning Physics-Informed Neural Networks without Stacked Back-propagation
Reference 2023
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 48993566-5c23-4dca-8bdd-5ef6872259c5 · outbound
Stochastic Taylor Derivative Estimator: Efficient amortization for arbitrary differential operators Score-Based Physics-Informed Neural Networks for High-Dimensional Fokker-Planck Equations
Reference 2024
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation fbd01193-e5c0-4248-8811-7aef4b5dc84c · inbound
PMNO: A novel physics guided multi-step neural operator predictor for partial differential equations Stochastic Taylor Derivative Estimator: Efficient amortization for arbitrary differential operators
Reference 64
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.