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Paper Citation Record · LEDGER

Variational Rank Reduction Autoencoders for Generative Thermal Design

As of 7 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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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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This paper cites Representation learning: A review and new perspectives.

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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Observation 4801c87d-e862-4b95-ae8d-af81c4e88add · outbound

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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

This paper cites Pi-vae: Physics-informed variational auto-encoder for stochastic differential equations.Computer Methods in Applied Mechanics and Engineering, 403:115664, 2023.

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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Observation e6533fd6-9f18-472c-9d49-58f338e0fe21 · outbound

This paper cites Generating required motor rotor shape by physics-guided vae/wgan-gp.Results in Engineering, page 106181, 2025.

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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source=pdf_text observed=2026-08-04T20:35:23.515191Z digest=sha256:0442ee634c6c03f440274add18e8b8f159f1e3e33ad44ec4ab2f2118ffe2fc5f

Observation eaf2e476-b5da-4a25-a530-675b1239334d · outbound

This paper cites Topological autoencoders.

Variational Rank Reduction Autoencoders for Generative Thermal Design Topological autoencoders

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source=pdf_text observed=2026-08-04T20:35:23.517984Z digest=sha256:f38d22787b158a4be954527f589a4b9d2bcde411fed511bcc98a97091ace21c8

Observation a046bbf9-5ea2-41a9-9b19-a5f579cac770 · outbound

This paper cites Towards extraction of orthogonal and parsimonious non-linear modes from turbulent flows.Expert Systems with Applications, 202:117038, 2022.

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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source=pdf_text observed=2026-08-04T20:35:23.523278Z digest=sha256:d1a47c426edeeebe13e98cd6b26b48ae8285a2b7e10f81b73e3f2049560f8da6

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

This paper cites A comprehensive deep learning-based approach to reduced order modeling of nonlinear time-dependent parametrized pdes.Journal of Scientific Computing, 87(2):61, 2021.

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:dd84215cc931c9e7eeae74d3acbab9993fe7152fbce4fff1ef992ad517d725d4

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

This paper cites A graph convolutional autoencoder approach to model order reduction for parametrized pdes.Journal of Computational Physics, 501:112762, 2024.

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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source=pdf_text observed=2026-08-04T20:35:23.528433Z digest=sha256:f6ea45fa8e8b9bbeba666dd92b651d4d91854a5642286408af79bec0b3d5def9

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

This paper cites Latent neural operator for solving forward and inverse pde problems.Advances in Neural Information Processing Systems, 37:33085–33107, 2024.

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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source=pdf_text observed=2026-08-04T20:35:23.531255Z digest=sha256:789c6d760244ea645d48d2e15346f57cf3f0a73c3a3398ae94614211f0ed3e22

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

This paper cites an unresolved cited work.

Variational Rank Reduction Autoencoders for Generative Thermal Design Unresolved cited work

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source=pdf_text observed=2026-08-04T20:35:23.533847Z digest=sha256:19ddcf6b1bdd8d5db50861eb939a5272f82f465cd9df74c8332f7219b0aee271

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

This paper cites Investigation and implementation of model order reduction technique for large scale dynamical systems.Archives of Computational Methods in Engineering, 29(5):3087– 3108, 2022.

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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source=pdf_text observed=2026-08-04T20:35:23.536420Z digest=sha256:173e5fefdb9f360e33f9168a415666f5cdec4145ac5914c48310c859b7402e86

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

This paper cites Reduced-order modeling of advection-dominated systems with recurrent neural networks and convolutional autoencoders.Physics of Fluids, 33(3), 2021.

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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source=pdf_text observed=2026-08-04T20:35:23.539017Z digest=sha256:387f704b2504d414f75a7cb76cd985f428adfadd4ed2c44bcd84f8c282e5f5ec

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

This paper cites Discovering governing equations from partial measurements with deep delay autoencoders.Proceedings of the Royal Society A, 479(2276):20230422, 2023.

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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source=pdf_text observed=2026-08-04T20:35:23.541634Z digest=sha256:302183f836caf63c40df95dbe40366971a40d7db53a77ed56ea0fd998cbf6567

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

This paper cites Thermodynamically Consistent Latent Dynamics Identification for Parametric Systems.

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

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source=pdf_text observed=2026-08-04T20:35:23.544344Z digest=sha256:28ac14a3ac4ee12c5b23857ad54ca627f82215a545d4c03af132b88989b4f396

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

This paper cites Physics-informed geometry-aware neural operator.Computer Methods in Applied Mechanics and Engineering, 434:117540, 2025.

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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source=pdf_text observed=2026-08-04T20:35:23.547422Z digest=sha256:fe087dab19fb4230895f9810711cafd2115f6cd08ce7ad2ba5445f8ab65fd4c8

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

This paper cites Deep learning of thermodynamics-aware reduced-order models from data.Computer Methods in Applied Mechanics and Engineering, 379:113763, 2021.

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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source=pdf_text observed=2026-08-04T20:35:23.550074Z digest=sha256:16953ff3b5e39cb1353c28cf06a085528f9b55b5c3a6ada5a82080b29744a8bf

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

This paper cites Physics perception in sloshing scenes with guaranteed thermodynamic consistency.IEEE Transactions on Pattern Analysis and Machine Intelligence, 45(2):2136–2150, 2022.

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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source=pdf_text observed=2026-08-04T20:35:23.552858Z digest=sha256:26d94ddf6f326f8a7c189959549f45606a302aeaa497fba18a7c569b339f63b0

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

This paper cites Physics-informed neural ode (pinode): embedding physics into models using collocation points.Scientific Reports, 13(1):10166, 2023.

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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source=pdf_text observed=2026-08-04T20:35:23.555426Z digest=sha256:2c5df1a23e9d7ae8750b2485bdfbe2cdfd9b3b1bc22aeb1766f8aa49b816f397

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

This paper cites Latentpinns: Generative physics-informed neural networks via a latent representation learning.Artificial Intelligence in Geosciences, page 100115, 2025.

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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source=pdf_text observed=2026-08-04T20:35:23.558142Z digest=sha256:65e0c9693a6d238b9fe1bf6f9be43e5d76d28af7c8137fad95a7c64582ddc24d

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

This paper cites Learning two-phase microstructure evolution using neural operators and autoencoder architectures.npj Computational Materials, 8(1):190, 2022.

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:b80faf10e28e31c012ca0735c60a4c870177116f77cd09e462c4ef9d14e2edd5

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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source=pdf_text observed=2026-08-04T20:35:23.563557Z digest=sha256:f2f3156d06ce1dccb6f4c9135c7df39e2a6a348053405d4268c9a7824177c668

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=sha256:6c68075b464b37d30ea156d6e31dc2abb4086da16d56c253cb89e215ac82a900

Observation 48f4054a-4f0d-4d9d-add3-3a13edb6d137 · outbound

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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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source=pdf_text observed=2026-08-04T20:35:23.568897Z digest=sha256:1a3b9c767d6eba20ab741d421bf20f501e9b62ce13fe8482b4679744d1e661a3

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=sha256:75c36c1f7d101aaec26846ea2d48d89f427aab94743fb33768f4d47fefee88c7

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

This paper cites Discovering sparse interpretable dynamics from partial observations.Communications Physics, 5(1):206, 2022.

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:b1e4962ae261f333055dd4f376f234bcddf725e5180affecd7ffb867b228dc29

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

This paper cites Learning proper orthogonal decomposition of complex dynamics using heavy-ball neural odes.Journal of Scientific Computing, 95(2):54, 2023.

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=sha256:66fee4ddf4dcef541220363475de681b2290989583998187e58be28b2b1a7bbb

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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source=pdf_text observed=2026-08-04T20:35:23.579779Z digest=sha256:8a59a945bc1de2a7b7d782c77dbc2ee7338dd8cbd449a934a49d5af1684fb504

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

This paper cites Nonlinear model reduction for operator learning.

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

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