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Paper Citation Record · LEDGER

Variational Rank Reduction Autoencoders for Generative Thermal Design

As of 10 August 2026, this Paper Citation Record lists 64 of 64 outbound references and 0 inbound Pith citation observations for arXiv:2509.08515.

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pith.paper-citation-record.v1
2509.08515 v1

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Outbound references

Observation 03115813-f463-4955-bab6-3f59ae3197be · outbound

This paper cites an unresolved cited work.

Variational Rank Reduction Autoencoders for Generative Thermal Design Unresolved cited work

Reference 1

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Observation ec8c7cde-4a89-4515-a0f2-4239be057d91 · outbound

This paper cites Real-Time 2D Temperature Field Prediction in Metal Additive Manufacturing Using Physics-Informed Neural Networks.

Variational Rank Reduction Autoencoders for Generative Thermal Design Real-Time 2D Temperature Field Prediction in Metal Additive Manufacturing Using Physics-Informed Neural Networks

Reference 2

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Variational Rank Reduction Autoencoders for Generative Thermal Design Unresolved cited work

Reference 3

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This paper cites A study of simulation of the urban space 3d temperature field at a community scale based on high-resolution remote sensing and cfd.Remote Sensing, 14(13):3174, 2022.

Variational Rank Reduction Autoencoders for Generative Thermal Design A study of simulation of the urban space 3d temperature field at a community scale based on high-resolution remote sensing and cfd.Remote Sensing, 14(13):3174, 2022

Reference 4

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Observation be85191d-a9d8-4742-ae07-6bcf0d850604 · outbound

This paper cites Estimating urban spatial temperatures considering anthropogenic heat release factors focusing on the mobility characteristics.Sustainable Cities and Society, 85:104073, 2022.

Variational Rank Reduction Autoencoders for Generative Thermal Design Estimating urban spatial temperatures considering anthropogenic heat release factors focusing on the mobility characteristics.Sustainable Cities and Society, 85:104073, 2022

Reference 5

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This paper cites Machine learning for urban heat island (uhi) analysis: Predicting land surface temperature (lst) in urban environments.Urban Climate, 55:101962, 2024.

Variational Rank Reduction Autoencoders for Generative Thermal Design Machine learning for urban heat island (uhi) analysis: Predicting land surface temperature (lst) in urban environments.Urban Climate, 55:101962, 2024

Reference 6

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This paper cites 3-d fem analysis of the temperature field and the thermal stress for plastics thermalforming.Journal of Materials Processing Technology, 97(1-3):35–43, 2000.

Variational Rank Reduction Autoencoders for Generative Thermal Design 3-d fem analysis of the temperature field and the thermal stress for plastics thermalforming.Journal of Materials Processing Technology, 97(1-3):35–43, 2000

Reference 7

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Observation ada542de-271f-4376-9a23-65178841cd0d · outbound

This paper cites Chaquet and Pedro Galán del Sastre.

Variational Rank Reduction Autoencoders for Generative Thermal Design Chaquet and Pedro Galán del Sastre

Reference 8

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This paper cites Evolutionary opti- mization methods for high-dimensional expensive problems: A survey.IEEE/CAA Journal of Automatica Sinica, 11(5):1092–1105, 2024.

Variational Rank Reduction Autoencoders for Generative Thermal Design Evolutionary opti- mization methods for high-dimensional expensive problems: A survey.IEEE/CAA Journal of Automatica Sinica, 11(5):1092–1105, 2024

Reference 9

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This paper cites Gary Wang.

Variational Rank Reduction Autoencoders for Generative Thermal Design Gary Wang

Reference 10

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Variational Rank Reduction Autoencoders for Generative Thermal Design Unresolved cited work

Reference 11

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Reference 12

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Variational Rank Reduction Autoencoders for Generative Thermal Design Unresolved cited work

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This paper cites A study on improving temperature field prediction accuracy using a surrogate model assisted by airflow field.Results in Engineering, 25:104544, 2025.

Variational Rank Reduction Autoencoders for Generative Thermal Design A study on improving temperature field prediction accuracy using a surrogate model assisted by airflow field.Results in Engineering, 25:104544, 2025

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This paper cites A physics- informed machine learning approach for temperature field prediction in metallic additive manufacturing.Journal of Industrial Information Integration, page 100899, 2025.

Variational Rank Reduction Autoencoders for Generative Thermal Design A physics- informed machine learning approach for temperature field prediction in metallic additive manufacturing.Journal of Industrial Information Integration, page 100899, 2025

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Observation 84324d50-adbb-4883-a0d2-274c73f55890 · outbound

This paper cites Inferring turbulent velocity and temperature fields and their statistics from Lagrangian velocity measurements using physics-informed Kolmogorov-Arnold Networks.

Variational Rank Reduction Autoencoders for Generative Thermal Design Inferring turbulent velocity and temperature fields and their statistics from Lagrangian velocity measurements using physics-informed Kolmogorov-Arnold Networks

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This paper cites Learning nonlinear operators via deeponet based on the universal approximation theorem of operators.Nature Machine Intelligence, 3(3):218–229, March 2021.

Variational Rank Reduction Autoencoders for Generative Thermal Design Learning nonlinear operators via deeponet based on the universal approximation theorem of operators.Nature Machine Intelligence, 3(3):218–229, March 2021

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This paper cites Physically interpretable airfoil parameterization using variational autoencoder-based generative modeling.

Variational Rank Reduction Autoencoders for Generative Thermal Design Physically interpretable airfoil parameterization using variational autoencoder-based generative modeling

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This paper cites A generative design method of airfoil based on conditional variational autoencoder.Engineering Applications of Artificial Intelligence, 139:109461, 2025.

Variational Rank Reduction Autoencoders for Generative Thermal Design A generative design method of airfoil based on conditional variational autoencoder.Engineering Applications of Artificial Intelligence, 139:109461, 2025

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This paper cites Using a generative adversarial network for the inverse design of soft morphing composite beams.Engineering Applications of Artificial Intelligence, 133:108527, 2024.

Variational Rank Reduction Autoencoders for Generative Thermal Design Using a generative adversarial network for the inverse design of soft morphing composite beams.Engineering Applications of Artificial Intelligence, 133:108527, 2024

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Variational Rank Reduction Autoencoders for Generative Thermal Design Representation learning: A review and new perspectives

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Variational Rank Reduction Autoencoders for Generative Thermal Design Rank reduction autoencoders, 2025

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This paper cites Variational rank reduction autoencoder.arXiv preprint arXiv:2505.09458, 2025.

Variational Rank Reduction Autoencoders for Generative Thermal Design Variational rank reduction autoencoder.arXiv preprint arXiv:2505.09458, 2025

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This paper cites Deep generative models in engineering design: A review.Journal of Mechanical Design, 144(7):071704, 2022.

Variational Rank Reduction Autoencoders for Generative Thermal Design Deep generative models in engineering design: A review.Journal of Mechanical Design, 144(7):071704, 2022

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This paper cites Deep Generative Models through the Lens of the Manifold Hypothesis: A Survey and New Connections.

Variational Rank Reduction Autoencoders for Generative Thermal Design Deep Generative Models through the Lens of the Manifold Hypothesis: A Survey and New Connections

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Variational Rank Reduction Autoencoders for Generative Thermal Design Auto-encoding variational bayes, 2013

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This paper cites An indirect design representation for topology optimization using variational autoencoder and style transfer.

Variational Rank Reduction Autoencoders for Generative Thermal Design An indirect design representation for topology optimization using variational autoencoder and style transfer

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This paper cites Research on multi-heat source arrangement optimization based on equivalent heat source method and reconstructed variational autoencoder.Scientific Reports, 14(1):21208, 2024.

Variational Rank Reduction Autoencoders for Generative Thermal Design Research on multi-heat source arrangement optimization based on equivalent heat source method and reconstructed variational autoencoder.Scientific Reports, 14(1):21208, 2024

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Variational Rank Reduction Autoencoders for Generative Thermal Design Gaussian process prior variational autoencoders.Advances in neural information processing systems, 31, 2018

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Variational Rank Reduction Autoencoders for Generative Thermal Design Generative adversarial nets.Advances in neural information processing systems, 27, 2014

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Variational Rank Reduction Autoencoders for Generative Thermal Design An adaptive artificial neural network-based generative design method for layout designs.International Journal of Heat and Mass Transfer, 184:122313, 2022

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Variational Rank Reduction Autoencoders for Generative Thermal Design A continuous genetic algorithm designed for the global optimization of multimodal functions.Journal of Heuristics, 6(2):191–213, 2000

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Variational Rank Reduction Autoencoders for Generative Thermal Design Thermodynamics- informed super-resolution of scarce temporal dynamics data.Computer Methods in Applied Mechanics and Engineering, 430:117210, 2024

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Variational Rank Reduction Autoencoders for Generative Thermal Design Unresolved cited work

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Variational Rank Reduction Autoencoders for Generative Thermal Design Physics-integrated variational autoencoders for robust and interpretable generative modeling.Advances in Neural Information Processing Systems, 34:14809–14821, 2021

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Variational Rank Reduction Autoencoders for Generative Thermal Design Symplectic encoders for physics-constrained variational dynamics inference.Scientific Reports, 13(1):2643, 2023

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Observation 5e1d1dd6-514f-4b6a-95ec-4408a9fb1f57 · outbound

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Variational Rank Reduction Autoencoders for Generative Thermal Design Pi-vae: Physics-informed variational auto-encoder for stochastic differential equations.Computer Methods in Applied Mechanics and Engineering, 403:115664, 2023

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Variational Rank Reduction Autoencoders for Generative Thermal Design Generating required motor rotor shape by physics-guided vae/wgan-gp.Results in Engineering, page 106181, 2025

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Observation cd53b1e6-4be5-4f0c-a4bc-6c9eb265253c · outbound

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Variational Rank Reduction Autoencoders for Generative Thermal Design Unresolved cited work

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Variational Rank Reduction Autoencoders for Generative Thermal Design Topological autoencoders

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Variational Rank Reduction Autoencoders for Generative Thermal Design Towards extraction of orthogonal and parsimonious non-linear modes from turbulent flows.Expert Systems with Applications, 202:117038, 2022

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Observation 39c43b2d-432c-4ea5-b7e9-d204e29d24be · outbound

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Variational Rank Reduction Autoencoders for Generative Thermal Design Unresolved cited work

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Observation e3559422-55bb-40a0-8a9d-14ce15f39b0b · outbound

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Variational Rank Reduction Autoencoders for Generative Thermal Design A comprehensive deep learning-based approach to reduced order modeling of nonlinear time-dependent parametrized pdes.Journal of Scientific Computing, 87(2):61, 2021

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source=pdf_text observed=2026-08-04T20:35:23.525875Z digest=sha256:0b673df28846bb456eb1af1bf36f08b5e1e0991f6749b28887da06b2e667e83f

Observation 95c70b4b-1808-426a-b496-50860b8a25dc · outbound

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Variational Rank Reduction Autoencoders for Generative Thermal Design A graph convolutional autoencoder approach to model order reduction for parametrized pdes.Journal of Computational Physics, 501:112762, 2024

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Observation c280325a-baa8-40a6-baf9-7274cb255876 · outbound

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Variational Rank Reduction Autoencoders for Generative Thermal Design Latent neural operator for solving forward and inverse pde problems.Advances in Neural Information Processing Systems, 37:33085–33107, 2024

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Observation 824fdd12-69ff-48ae-a4a1-a48d40b24ff3 · outbound

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Variational Rank Reduction Autoencoders for Generative Thermal Design Unresolved cited work

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Observation 7fce5c16-60ad-41f7-8ef5-9dbe5c02bf8d · outbound

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Variational Rank Reduction Autoencoders for Generative Thermal Design Investigation and implementation of model order reduction technique for large scale dynamical systems.Archives of Computational Methods in Engineering, 29(5):3087– 3108, 2022

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Observation e9de3e7e-64e1-46e3-be8b-f528f9d6f6fe · outbound

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Variational Rank Reduction Autoencoders for Generative Thermal Design Reduced-order modeling of advection-dominated systems with recurrent neural networks and convolutional autoencoders.Physics of Fluids, 33(3), 2021

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Observation 9bf1205c-e6af-4a62-96ea-9695fb04db0a · outbound

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Variational Rank Reduction Autoencoders for Generative Thermal Design Discovering governing equations from partial measurements with deep delay autoencoders.Proceedings of the Royal Society A, 479(2276):20230422, 2023

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Observation e4b2ecbc-a02d-4f3d-9412-8249376fbec8 · outbound

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Variational Rank Reduction Autoencoders for Generative Thermal Design Thermodynamically Consistent Latent Dynamics Identification for Parametric Systems

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Observation fc264871-2394-4652-9ff5-9d561eda2578 · outbound

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Variational Rank Reduction Autoencoders for Generative Thermal Design Physics-informed geometry-aware neural operator.Computer Methods in Applied Mechanics and Engineering, 434:117540, 2025

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Observation 709a800b-8dba-45d3-be27-21834f634dfe · outbound

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Variational Rank Reduction Autoencoders for Generative Thermal Design Deep learning of thermodynamics-aware reduced-order models from data.Computer Methods in Applied Mechanics and Engineering, 379:113763, 2021

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Observation 97e3d818-7d7b-4a1c-977e-5bc0bdf5a4e3 · outbound

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Variational Rank Reduction Autoencoders for Generative Thermal Design Physics perception in sloshing scenes with guaranteed thermodynamic consistency.IEEE Transactions on Pattern Analysis and Machine Intelligence, 45(2):2136–2150, 2022

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Observation 1da6b6aa-818d-456f-b1c9-5f5fc8c5507b · outbound

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Variational Rank Reduction Autoencoders for Generative Thermal Design Physics-informed neural ode (pinode): embedding physics into models using collocation points.Scientific Reports, 13(1):10166, 2023

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Observation 3bf85bff-0d0b-42de-81ba-9038824bdabf · outbound

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Variational Rank Reduction Autoencoders for Generative Thermal Design Latentpinns: Generative physics-informed neural networks via a latent representation learning.Artificial Intelligence in Geosciences, page 100115, 2025

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Observation 915c1403-4fe6-49cc-95f7-1f4f03f885c0 · outbound

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Variational Rank Reduction Autoencoders for Generative Thermal Design Learning two-phase microstructure evolution using neural operators and autoencoder architectures.npj Computational Materials, 8(1):190, 2022

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source=pdf_text observed=2026-08-04T20:35:23.560892Z digest=sha256:2ae11e90ed21356de95f6dfbac8ea27806af9f7981a78946c582d5bf18e7ca32

Observation 6b021c54-d322-46dd-8d05-17fca32ac073 · outbound

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Variational Rank Reduction Autoencoders for Generative Thermal Design Physics-enhanced machine learning: a position paper for dynamical systems investigations

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Observation 74fbe9d6-dad1-4fd5-8f05-25f18e1ccbce · outbound

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Variational Rank Reduction Autoencoders for Generative Thermal Design Physics-guided deep markov models for learning nonlinear dynamical systems with uncertainty.Mechanical Systems and Signal Processing, 178:109276, 2022

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source=pdf_text observed=2026-08-04T20:35:23.566216Z digest=sha256:23b3a088d50f491dd9265c631f632dc7076bb6db0d70113db3cc0869bfd51620

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Variational Rank Reduction Autoencoders for Generative Thermal Design Extracting interpretable physical parameters from spatiotemporal systems using unsupervised learning.Physical Review X, 10(3):031056, 2020

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Observation 10b5460f-2460-4cbb-8063-6ccb077e9710 · outbound

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Variational Rank Reduction Autoencoders for Generative Thermal Design Solving inverse-pde problems with physics-aware neural networks.Journal of Computational Physics, 440:110414, 2021

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source=pdf_text observed=2026-08-04T20:35:23.571651Z digest=sha256:a8e52c803d35c61b6a1e333c27f572dd9b1ee599bffe2b2d2f15b15d077b1cbe

Observation 7549aacc-0893-46c7-8605-d9d8c2c0f052 · outbound

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Variational Rank Reduction Autoencoders for Generative Thermal Design Discovering sparse interpretable dynamics from partial observations.Communications Physics, 5(1):206, 2022

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source=pdf_text observed=2026-08-04T20:35:23.574447Z digest=sha256:68630ed92a5a9b82346f1b25a9a7689bfc1efe7ab3df0a425e73ae5ab7a681fc

Observation 0f974b5e-2567-4041-be4b-c76f4fb2bd8b · outbound

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Variational Rank Reduction Autoencoders for Generative Thermal Design Learning proper orthogonal decomposition of complex dynamics using heavy-ball neural odes.Journal of Scientific Computing, 95(2):54, 2023

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source=pdf_text observed=2026-08-04T20:35:23.577170Z digest=sha256:cb3a3b4ad07a128fb6318abafc10a6b46989edc17eba4432addad731dd81a58c

Observation 06b63a30-a316-4fb0-bd47-cde1c2543902 · outbound

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Variational Rank Reduction Autoencoders for Generative Thermal Design Reduced basis approximations of parameterized dynamical partial differential equations via neural networks.Foundations of Data Science, 7(SAND-2025-04099J), 2025

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Observation 8d1bd8f0-5e6a-426c-b0a8-49f33c22c77d · outbound

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Variational Rank Reduction Autoencoders for Generative Thermal Design Nonlinear model reduction for operator learning

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