Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-15T15:55:52.503152Z
Paper Citation Record · LEDGER
As of 16 August 2026, this Paper Citation Record lists 100 of 109 outbound references and 0 inbound Pith citation observations for arXiv:2509.15744.
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 2026-08-15T15:55:52.503152Z
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
100 of 109 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation f38d72f1-a4ea-4bc2-a0c0-b4ca381ca02d · outbound
A Memory Efficient Adjoint Method to Enable Billion Parameter Optimization on a Single GPU in Dynamic Problems Symplectic isotopy on non-minimal ruled surfaces
Reference 1
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Observation a5e676cd-b1ae-4b71-b7c1-17ede3fbc499 · outbound
A Memory Efficient Adjoint Method to Enable Billion Parameter Optimization on a Single GPU in Dynamic Problems Unresolved cited work
Reference 2
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Observation 1dd11346-8396-4f76-a09d-684c06284ffe · outbound
A Memory Efficient Adjoint Method to Enable Billion Parameter Optimization on a Single GPU in Dynamic Problems Accelerating CFD simulation with high order finite difference method on curvilinear coordinates for modern GPU clusters.Advances in Aerodynamics, 4(1):7, February 2022
Reference 3
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Observation 67b7efaf-154c-439e-8188-6ce547046d22 · outbound
A Memory Efficient Adjoint Method to Enable Billion Parameter Optimization on a Single GPU in Dynamic Problems GPU-Accelerated Finite Element Method for Modelling Light Transport in Diffuse Optical Tomography.International Journal of Biomedical Imaging, 2011:403892, 2011
Reference 4
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Observation b87cb423-2a18-4db5-93ab-462cb932f860 · outbound
A Memory Efficient Adjoint Method to Enable Billion Parameter Optimization on a Single GPU in Dynamic Problems Tr¨ aff, Anton Rydahl, Sven Karlsson, Ole Sigmund, and Niels Aage
Reference 5
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Observation 8cf3d85c-c8c6-4d80-868d-0581fe26ecb1 · outbound
A Memory Efficient Adjoint Method to Enable Billion Parameter Optimization on a Single GPU in Dynamic Problems Modular and flexible spectral-element waveform modelling in two and three dimensions.Geophysical Journal International, 216(3):1675–1692, March 2019
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Observation f439c03c-5a70-4168-aaa2-ad03359814f8 · outbound
A Memory Efficient Adjoint Method to Enable Billion Parameter Optimization on a Single GPU in Dynamic Problems Generalized GPU Acceleration for Applications Employing Finite-Volume Meth- ods
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Observation 8e8ea816-dd62-4588-858b-f3b9cb8cd8ec · outbound
A Memory Efficient Adjoint Method to Enable Billion Parameter Optimization on a Single GPU in Dynamic Problems MIT Press, 2016
Reference 8
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Observation 44f727d8-e431-4735-85d3-789590e50dd8 · outbound
A Memory Efficient Adjoint Method to Enable Billion Parameter Optimization on a Single GPU in Dynamic Problems Bishop and Hugh Bishop.Deep Learning: Foundations and Concepts
Reference 9
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Observation 67e9223f-5da5-4741-8a01-d092b0151fb4 · outbound
A Memory Efficient Adjoint Method to Enable Billion Parameter Optimization on a Single GPU in Dynamic Problems TensorFlow: Large-Scale Machine Learning on Heterogeneous Distributed Systems
Reference 10
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Observation bcaca689-2e02-44d5-a765-709317fa18b1 · outbound
A Memory Efficient Adjoint Method to Enable Billion Parameter Optimization on a Single GPU in Dynamic Problems JAX: composable trans- formations of Python+NumPy programs, 2018
Reference 11
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Observation 987a02d6-454e-4577-b0b2-f8f17fe4fc4c · outbound
A Memory Efficient Adjoint Method to Enable Billion Parameter Optimization on a Single GPU in Dynamic Problems PyTorch: An Imperative Style, High-Performance Deep Learning Library
Reference 12
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Observation f3e32150-1fd7-4ae0-93e4-ef2ff53493d4 · outbound
A Memory Efficient Adjoint Method to Enable Billion Parameter Optimization on a Single GPU in Dynamic Problems Springer Inter- national Publishing, Cham, 2021
Reference 13
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Observation 8ca05b9d-605f-4909-a91f-6215aec0a3ff · outbound
A Memory Efficient Adjoint Method to Enable Billion Parameter Optimization on a Single GPU in Dynamic Problems Deep learning in computational mechanics: a review.Com- putational Mechanics, January 2024
Reference 14
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Observation d49024de-10d8-46c0-beaa-776168fe0ef9 · outbound
A Memory Efficient Adjoint Method to Enable Billion Parameter Optimization on a Single GPU in Dynamic Problems Neural network representation of finite element method.Neural Networks, 7 (2):389–395, January 1994
Reference 15
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Observation 75c8211b-27e0-4218-a103-1478975a621f · outbound
A Memory Efficient Adjoint Method to Enable Billion Parameter Optimization on a Single GPU in Dynamic Problems Ramuhalli, L
Reference 16
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Observation 650abc98-a78a-41b5-8675-fda251d2cb6b · outbound
A Memory Efficient Adjoint Method to Enable Billion Parameter Optimization on a Single GPU in Dynamic Problems FEA-Net: A Deep Convolutional Neural Network With PhysicsPrior For Efficient Data Driven PDE Learning
Reference 17
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Observation cb239238-6b56-4fcc-b83d-452c63cd4210 · outbound
A Memory Efficient Adjoint Method to Enable Billion Parameter Optimization on a Single GPU in Dynamic Problems FEA-Net: A physics-guided data-driven model for efficient mechanical response prediction.Computer Methods in Applied Mechanics and Engineering, 363:112892, May 2020
Reference 18
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Observation 629320c2-5955-4fb7-943b-608b17a7193a · outbound
A Memory Efficient Adjoint Method to Enable Billion Parameter Optimization on a Single GPU in Dynamic Problems Apley, Gre- gory J
Reference 19
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Observation 3c4fae07-63de-409c-a1f9-b1cd7e62acb1 · outbound
A Memory Efficient Adjoint Method to Enable Billion Parameter Optimization on a Single GPU in Dynamic Problems Mishra and P.S
Reference 20
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Observation b6b3f95c-57a2-4c21-a4c3-2098863483fb · outbound
A Memory Efficient Adjoint Method to Enable Billion Parameter Optimization on a Single GPU in Dynamic Problems Seismic Full-Waveform Inversion Using Deep Learning Tools and Techniques
Reference 21
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Observation 41cb6a99-9974-4cf0-9bf1-1edd24e3d1a9 · outbound
A Memory Efficient Adjoint Method to Enable Billion Parameter Optimization on a Single GPU in Dynamic Problems Innanen, Junxiao Li, and Daniel O
Reference 22
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Observation d0dae4bf-37a3-4bda-9617-ca0c326ad5f9 · outbound
A Memory Efficient Adjoint Method to Enable Billion Parameter Optimization on a Single GPU in Dynamic Problems On the use of neural networks for full waveform inversion.Computer Methods in Applied Mechanics and Engineering, 415:116278, October 2023
Reference 23
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Observation 3a014e9e-21fd-4d50-9ede-16033d9db87b · outbound
A Memory Efficient Adjoint Method to Enable Billion Parameter Optimization on a Single GPU in Dynamic Problems Injective Hulls of Quantale-Enriched Multicategories
Reference 24
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Observation 7247e0bc-edc9-4e0d-8fd8-b824141f9c4f · outbound
A Memory Efficient Adjoint Method to Enable Billion Parameter Optimization on a Single GPU in Dynamic Problems A tutorial on the adjoint method for inverse problems.Computer Methods in Applied Mechanics and Engineering, 380:113810, July 2021
Reference 27
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Observation 1fb85175-3be9-4718-a62e-4203cab141b1 · outbound
A Memory Efficient Adjoint Method to Enable Billion Parameter Optimization on a Single GPU in Dynamic Problems Achieving logarithmic growth of temporal and spatial complexity in reverse automatic differentiation.Optimization Methods and Software, 1(1):35–54, January 1992
Reference 28
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Observation e2f5b391-7344-46cf-9b35-0a725e12590c · outbound
A Memory Efficient Adjoint Method to Enable Billion Parameter Optimization on a Single GPU in Dynamic Problems Unresolved cited work
Reference 29
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Observation 7800e2cc-4213-46f6-a6ec-d9942322b0ec · outbound
A Memory Efficient Adjoint Method to Enable Billion Parameter Optimization on a Single GPU in Dynamic Problems Unresolved cited work
Reference 30
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Observation 73ce63ba-6c01-4e85-99e7-584f4e547aa3 · outbound
A Memory Efficient Adjoint Method to Enable Billion Parameter Optimization on a Single GPU in Dynamic Problems Anderson, Lijian Tan, and Don Wang
Reference 31
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Observation a803c241-f399-4a64-a9e2-9fcf10f9f850 · outbound
A Memory Efficient Adjoint Method to Enable Billion Parameter Optimization on a Single GPU in Dynamic Problems Wavefield compression for 26 adjoint methods in full-waveform inversion.GEOPHYSICS, 81(6):R385–R397, 2016
Reference 32
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Observation c3acdd47-64d8-456c-8f6e-62a43b9a1a32 · outbound
Reference 33
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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 0afaad1b-6147-409d-9722-647d431e8d44 · outbound
A Memory Efficient Adjoint Method to Enable Billion Parameter Optimization on a Single GPU in Dynamic Problems High-performance xPU Stencil Computations in Julia.JuliaCon Proceedings, 6(64):138, October 2024
Reference 34
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Observation a064521b-3a6b-4c10-bb08-bc3e4d315c6f · outbound
A Memory Efficient Adjoint Method to Enable Billion Parameter Optimization on a Single GPU in Dynamic Problems Distributed Parallelization of xPU Stencil Computations in Julia.JuliaCon Proceedings, 6(65):137, November 2024
Reference 35
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Observation 5883fa4b-ca4c-431b-9fbe-2c361b9610c2 · outbound
A Memory Efficient Adjoint Method to Enable Billion Parameter Optimization on a Single GPU in Dynamic Problems SeimicWaves.jl: an efficient yet user-friendly Julia package for Full-Waveform Inversion on multi-xPUs
Reference 36
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Observation 0138fefb-0ad5-49d4-b41e-178febd344e9 · outbound
A Memory Efficient Adjoint Method to Enable Billion Parameter Optimization on a Single GPU in Dynamic Problems Clapp.Reverse time migration with random boundaries, pages 2809–2813
Reference 37
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Observation a47d070a-3920-4640-8445-7680d32d2464 · outbound
A Memory Efficient Adjoint Method to Enable Billion Parameter Optimization on a Single GPU in Dynamic Problems Random boundary condition for memory-efficient waveform inversion gradient computation.GEOPHYSICS, 80:R351–R359, 11 2015
Reference 38
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Observation 7259bef4-9e4b-48ab-8699-cc3678966a5a · outbound
A Memory Efficient Adjoint Method to Enable Billion Parameter Optimization on a Single GPU in Dynamic Problems Inversion of seismic reflection data in the acoustic approximation.GEOPHYSICS, 49(8): 1259–1266, August 1984
Reference 39
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Observation 5f7f496a-245d-4adb-a9fe-c3b881a54236 · outbound
A Memory Efficient Adjoint Method to Enable Billion Parameter Optimization on a Single GPU in Dynamic Problems Advances in Geophysical and Envi- ronmental Mechanics and Mathematics
Reference 40
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Observation 761f593c-9505-4f55-8dd3-1b7378fa2388 · outbound
A Memory Efficient Adjoint Method to Enable Billion Parameter Optimization on a Single GPU in Dynamic Problems Topology optimization of an acoustic horn.Computer Methods in Applied Mechanics and Engineering, 196(1-3):420–436, December 2006
Reference 41
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Observation 61f6f694-ddcb-4603-9fd4-bf29eaa85116 · outbound
A Memory Efficient Adjoint Method to Enable Billion Parameter Optimization on a Single GPU in Dynamic Problems Rigid body modeling issue in acoustical topology optimization.Computer Methods in Applied Mechanics and Engineering, 198(9-12):1017–1030, February 2009
Reference 42
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Observation cf6ed75e-5d61-4c2f-964d-79a7fc09bad3 · outbound
A Memory Efficient Adjoint Method to Enable Billion Parameter Optimization on a Single GPU in Dynamic Problems Minimization of sound radiation from vibrating bi-material structures using topology optimization.Structural and Multidisciplinary Optimization, 33(4-5):305–321, February 2007
Reference 43
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Observation 295b36f9-4373-4d6f-941d-54ed35a47520 · outbound
A Memory Efficient Adjoint Method to Enable Billion Parameter Optimization on a Single GPU in Dynamic Problems Unresolved cited work
Reference 44
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Observation 0bbed9e3-0ee7-4117-820b-d31e95d2f9b5 · outbound
A Memory Efficient Adjoint Method to Enable Billion Parameter Optimization on a Single GPU in Dynamic Problems D¨ uhring, Jakob S
Reference 45
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Unavailable: canonical work link unavailable.
Observation b4db5256-59a5-4dd5-a4fa-9679314409ee · outbound
A Memory Efficient Adjoint Method to Enable Billion Parameter Optimization on a Single GPU in Dynamic Problems Jensen, and Semyung Wang
Reference 46
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Observation 5ed1efa1-76af-47e3-b29d-27caee2564b8 · outbound
A Memory Efficient Adjoint Method to Enable Billion Parameter Optimization on a Single GPU in Dynamic Problems Jensen and O
Reference 47
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Observation 4017243e-057b-4593-8c40-3adc7bd6f56a · outbound
A Memory Efficient Adjoint Method to Enable Billion Parameter Optimization on a Single GPU in Dynamic Problems Christiansen and Ole Sigmund
Reference 48
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Observation d8bf5c2e-c287-4d6c-8dde-adf2b1e637f3 · outbound
A Memory Efficient Adjoint Method to Enable Billion Parameter Optimization on a Single GPU in Dynamic Problems Christiansen and Ole Sigmund
Reference 49
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correction dated 2021-05-10. Source: crossref record 10.1364/josab.427899->10.1364/josab.405955:correction, observed 2026-07-11T03:01:41.953179+00:00. This notice travels one citation hop only.
Observation 8fd4dc18-c4a4-497f-9b16-6a99a6d87641 · outbound
A Memory Efficient Adjoint Method to Enable Billion Parameter Optimization on a Single GPU in Dynamic Problems Scalable parallel programming with CUDA
Reference 50
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Observation 374e9045-2c22-4d8c-8bfe-1608edb8c4f1 · outbound
A Memory Efficient Adjoint Method to Enable Billion Parameter Optimization on a Single GPU in Dynamic Problems A Memory Efficient Adjoint Method to Enable Billion Parameter Optimization on a Single GPU in Dynamic Problems [Software], September
Reference 51
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Observation e572eb6f-e946-43c4-a730-b3dc6869643f · outbound
A Memory Efficient Adjoint Method to Enable Billion Parameter Optimization on a Single GPU in Dynamic Problems Adam: A Method for Stochastic Optimization
Reference 52
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Observation bbc20366-f23d-4812-9d37-6e68f58f48d5 · outbound
A Memory Efficient Adjoint Method to Enable Billion Parameter Optimization on a Single GPU in Dynamic Problems Liu and Jorge Nocedal
Reference 53
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Observation 3e6442cc-5663-4120-b2a1-05abbf316cd5 · outbound
A Memory Efficient Adjoint Method to Enable Billion Parameter Optimization on a Single GPU in Dynamic Problems The method of moving asymptotes—a new method for structural optimization.International Journal for Numerical Methods in Engineering, 24(2):359–373, February 1987
Reference 54
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Observation 8461fe14-46f7-48d0-8690-643da1660478 · outbound
A Memory Efficient Adjoint Method to Enable Billion Parameter Optimization on a Single GPU in Dynamic Problems Oliphant, Matt Haberland, Tyler Reddy, David Cournapeau, Ev- 27 geni Burovski, Pearu Peterson, Warren Weckesser, Jonathan Bright, St´ efan J
Reference 55
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Unavailable: canonical work link unavailable.
Observation e820fde6-475f-4108-8251-7e65ed3c6079 · outbound
A Memory Efficient Adjoint Method to Enable Billion Parameter Optimization on a Single GPU in Dynamic Problems Immersed boundary parametrizations for full waveform inversion.Computer Methods in Applied Mechanics and Engineering, 406:115893, March
Reference 56
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Observation c90b1256-1ab9-4682-8913-acdc1165c8c8 · outbound
Reference 57
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Observation a8fcb144-756f-48c2-af30-55a615c18524 · outbound
Reference 58
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Observation 782e6155-f9d9-4d55-9781-b322021960ef · outbound
A Memory Efficient Adjoint Method to Enable Billion Parameter Optimization on a Single GPU in Dynamic Problems Isogeometric multi-resolution full waveform inversion based on the finite cell method.Computer Methods in Applied Mechanics and Engineering, 417:116286, December 2023
Reference 59
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Observation 62e48a26-b956-456e-a804-41f0bca3bb4f · outbound
A Memory Efficient Adjoint Method to Enable Billion Parameter Optimization on a Single GPU in Dynamic Problems Solving inverse problems using data-driven models.Acta Numerica, 28:1–174, May 2019
Reference 60
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Observation 53279b95-d66f-4fc1-bdd8-52e4a9289858 · outbound
A Memory Efficient Adjoint Method to Enable Billion Parameter Optimization on a Single GPU in Dynamic Problems Unresolved cited work
Reference 61
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Observation 503791f7-dc66-4f2a-86f0-64189654671d · outbound
A Memory Efficient Adjoint Method to Enable Billion Parameter Optimization on a Single GPU in Dynamic Problems On projection methods, convergence and robust formulations in topology optimization.Structural and Multidisciplinary Optimization, 43(6):767–784, June
Reference 62
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Observation 99a2f21e-8f63-4c18-8c28-80967bf0924c · outbound
A Memory Efficient Adjoint Method to Enable Billion Parameter Optimization on a Single GPU in Dynamic Problems Volume preserving projection filters and continuation methods in topology optimization.Engineering Structures, 85:144–161, February 2015
Reference 63
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Observation f19cf8c9-c3c4-440b-bf99-ad70f89ba97c · outbound
A Memory Efficient Adjoint Method to Enable Billion Parameter Optimization on a Single GPU in Dynamic Problems Unresolved cited work
Reference 64
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Observation d3a10f30-4973-4097-aee0-93572e9e8595 · outbound
A Memory Efficient Adjoint Method to Enable Billion Parameter Optimization on a Single GPU in Dynamic Problems Unresolved cited work
Reference 65
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Observation f491cfbb-5133-4668-a444-e2dea73d0add · outbound
A Memory Efficient Adjoint Method to Enable Billion Parameter Optimization on a Single GPU in Dynamic Problems Bendsøe and O
Reference 66
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Observation dbb5e288-b3c3-421b-b407-a78e801888d9 · outbound
Reference 67
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Observation 9b3726a8-1a16-45d2-b140-97755dafa7b6 · outbound
A Memory Efficient Adjoint Method to Enable Billion Parameter Optimization on a Single GPU in Dynamic Problems Dilgen and Niels Aage
Reference 68
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Observation 3df1c89b-41a7-4eb7-8aab-8aa12f894a6a · outbound
A Memory Efficient Adjoint Method to Enable Billion Parameter Optimization on a Single GPU in Dynamic Problems Conlon, and Fabio Semperlotti
Reference 69
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Observation 53f10427-4660-4031-aa31-1e6eabe2545a · outbound
A Memory Efficient Adjoint Method to Enable Billion Parameter Optimization on a Single GPU in Dynamic Problems Topology optimization of a waveguide acoustic black hole for enhanced wave focusing.The Journal of the Acoustical Society of America, 155(1): 742–756, January 2024
Reference 70
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Observation 4df074bf-7b38-4906-8fe8-2ddda5e97b1a · outbound
A Memory Efficient Adjoint Method to Enable Billion Parameter Optimization on a Single GPU in Dynamic Problems On neu- ral networks for generating better local optima in topology optimization.Structural and Multidisciplinary 28 Optimization, 67(11):192, November 2024
Reference 71
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Observation a0c95c74-4c82-4117-8768-32667a9bd49e · outbound
A Memory Efficient Adjoint Method to Enable Billion Parameter Optimization on a Single GPU in Dynamic Problems Sigmund and J
Reference 72
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Observation d06e9a63-c2ad-49fc-b692-d074294ce883 · outbound
A Memory Efficient Adjoint Method to Enable Billion Parameter Optimization on a Single GPU in Dynamic Problems Bruns and Daniel A
Reference 73
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Observation dd7660c5-36db-459b-b265-29018f43eaa6 · outbound
A Memory Efficient Adjoint Method to Enable Billion Parameter Optimization on a Single GPU in Dynamic Problems Filters in topology optimization.International Journal for Numerical Methods in Engineering, 50(9):2143–2158, March 2001
Reference 74
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Observation f6283303-9ecc-4708-9f89-37ac499d104e · outbound
A Memory Efficient Adjoint Method to Enable Billion Parameter Optimization on a Single GPU in Dynamic Problems Lazarov, and Ole Sigmund
Reference 75
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Observation 9c544ba4-cf29-48f5-95a1-1264d4b1db66 · outbound
A Memory Efficient Adjoint Method to Enable Billion Parameter Optimization on a Single GPU in Dynamic Problems Christiansen, Boyan S
Reference 76
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Observation 3c28a9c4-affe-44de-832e-4524994b54a0 · outbound
A Memory Efficient Adjoint Method to Enable Billion Parameter Optimization on a Single GPU in Dynamic Problems Morphology-based black and white filters for topology optimization.Structural and Multidis- ciplinary Optimization, 33(4):401–424, April 2007
Reference 77
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Observation 23489e15-0a64-4471-a71f-ee2e50e473d4 · outbound
A Memory Efficient Adjoint Method to Enable Billion Parameter Optimization on a Single GPU in Dynamic Problems Manufacturing tolerant topology optimization.Acta Mechanica Sinica, 25(2):227–239, April 2009
Reference 78
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Observation d736a886-4780-4821-b8a9-46208055bf78 · outbound
A Memory Efficient Adjoint Method to Enable Billion Parameter Optimization on a Single GPU in Dynamic Problems Springer International Publish- ing, Cham, 2017
Reference 79
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Observation 5356c24a-ed50-4260-8b9b-d49e143a41e5 · outbound
A Memory Efficient Adjoint Method to Enable Billion Parameter Optimization on a Single GPU in Dynamic Problems On the Use of Neural Networks for Full Waveform Inversion [Software], August 2024
Reference 80
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Reference 82
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Reference 84
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Reference 93
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