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Paper Citation Record · LEDGER

Bridging statistical mechanics and thermodynamics away from equilibrium: a data-driven approach for learning internal variables and their dynamics

As of 10 August 2026, this Paper Citation Record lists 75 of 75 outbound references and 1 inbound Pith citation observation for arXiv:2501.17993.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2501.17993 v1

Coverage vector

measured 75 of 75 reference resolution

Typed states for the displayed outbound observations.

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One-hop event checks from named stored sources.

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measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-08-07T05:28:18.951250Z

Reference resolution

75 of 75 outbound references displayed

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External citation measurements

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Outbound references

Observation e4a5e78b-181f-4fbd-b366-12124c9f9c38 · outbound

This paper cites Deep Variational Information Bottleneck.

Bridging statistical mechanics and thermodynamics away from equilibrium: a data-driven approach for learning internal variables and their dynamics Deep Variational Information Bottleneck

Reference 1

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Observation 87f1dc31-8ca0-4776-8868-bae5395e252b · outbound

This paper cites Input convex neural networks.

Bridging statistical mechanics and thermodynamics away from equilibrium: a data-driven approach for learning internal variables and their dynamics Input convex neural networks

Reference 2

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Observation b804ce7a-e0a0-424c-9197-b818e8949b6a · outbound

This paper cites Statistical Mechanics for Chemistry and Materials Science.

Bridging statistical mechanics and thermodynamics away from equilibrium: a data-driven approach for learning internal variables and their dynamics Statistical Mechanics for Chemistry and Materials Science

Reference 3

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This paper cites Reaction coordinates and rates from transition paths.

Bridging statistical mechanics and thermodynamics away from equilibrium: a data-driven approach for learning internal variables and their dynamics Reaction coordinates and rates from transition paths

Reference 4

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This paper cites Phase-field models for microstructure evolution.

Bridging statistical mechanics and thermodynamics away from equilibrium: a data-driven approach for learning internal variables and their dynamics Phase-field models for microstructure evolution

Reference 5

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This paper cites Diffusion maps.

Bridging statistical mechanics and thermodynamics away from equilibrium: a data-driven approach for learning internal variables and their dynamics Diffusion maps

Reference 6

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Observation a1a2f9cc-f2ed-4ecf-bdb0-b5f7c619dda5 · outbound

This paper cites Diffusion maps, reduction coordinates, and low dimensional representation of stochastic systems.

Bridging statistical mechanics and thermodynamics away from equilibrium: a data-driven approach for learning internal variables and their dynamics Diffusion maps, reduction coordinates, and low dimensional representation of stochastic systems

Reference 7

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Observation 84858437-6e7d-4157-a92b-e1c941d4f97a · outbound

This paper cites Thermodynamics with internal state variables.

Bridging statistical mechanics and thermodynamics away from equilibrium: a data-driven approach for learning internal variables and their dynamics Thermodynamics with internal state variables

Reference 8

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This paper cites An approximation theorem for functionals, with applications in continuum mechanics.

Bridging statistical mechanics and thermodynamics away from equilibrium: a data-driven approach for learning internal variables and their dynamics An approximation theorem for functionals, with applications in continuum mechanics

Reference 9

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This paper cites Foundations of linear viscoelasticity.

Bridging statistical mechanics and thermodynamics away from equilibrium: a data-driven approach for learning internal variables and their dynamics Foundations of linear viscoelasticity

Reference 10

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Observation 3ef051cd-bb36-4859-a6cb-7d986c390e0a · outbound

This paper cites Elements of information theory.

Bridging statistical mechanics and thermodynamics away from equilibrium: a data-driven approach for learning internal variables and their dynamics Elements of information theory

Reference 11

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Observation 51a82eec-88b1-49f6-a406-272df46f5a4a · outbound

This paper cites Identifying structural flow defects in disordered solids using machine-learning methods.

Bridging statistical mechanics and thermodynamics away from equilibrium: a data-driven approach for learning internal variables and their dynamics Identifying structural flow defects in disordered solids using machine-learning methods

Reference 12

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This paper cites Onsager’s variational principle in soft matter.

Bridging statistical mechanics and thermodynamics away from equilibrium: a data-driven approach for learning internal variables and their dynamics Onsager’s variational principle in soft matter

Reference 13

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Bridging statistical mechanics and thermodynamics away from equilibrium: a data-driven approach for learning internal variables and their dynamics Computing committors in collective variables via Mahalanobis diffusion maps

Reference 14

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This paper cites Multiscale mass-spring models of carbon nanotube foams.

Bridging statistical mechanics and thermodynamics away from equilibrium: a data-driven approach for learning internal variables and their dynamics Multiscale mass-spring models of carbon nanotube foams

Reference 15

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Bridging statistical mechanics and thermodynamics away from equilibrium: a data-driven approach for learning internal variables and their dynamics Machine learning force fields and coarse-grained variables in molecular dynamics: application to materials and biological systems

Reference 16

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This paper cites Deep convolutional recurrent autoencoders for learning low-dimensional feature dynamics of fluid systems.

Bridging statistical mechanics and thermodynamics away from equilibrium: a data-driven approach for learning internal variables and their dynamics Deep convolutional recurrent autoencoders for learning low-dimensional feature dynamics of fluid systems

Reference 17

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Bridging statistical mechanics and thermodynamics away from equilibrium: a data-driven approach for learning internal variables and their dynamics Deep learning

Reference 18

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This paper cites A presentation and comparison of two large deformation viscoelasticity models.

Bridging statistical mechanics and thermodynamics away from equilibrium: a data-driven approach for learning internal variables and their dynamics A presentation and comparison of two large deformation viscoelasticity models

Reference 19

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Bridging statistical mechanics and thermodynamics away from equilibrium: a data-driven approach for learning internal variables and their dynamics Variational encoding of complex dynamics

Reference 20

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Bridging statistical mechanics and thermodynamics away from equilibrium: a data-driven approach for learning internal variables and their dynamics On large strain viscoelasticity: continuum formulation and finite element applications to elastomeric structures

Reference 21

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Bridging statistical mechanics and thermodynamics away from equilibrium: a data-driven approach for learning internal variables and their dynamics Neural autoregressive flows

Reference 22

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This paper cites Variational Onsager Neural Networks (VONNs): A thermodynamics-based variational learning strategy for non-equilibrium PDEs.

Bridging statistical mechanics and thermodynamics away from equilibrium: a data-driven approach for learning internal variables and their dynamics Variational Onsager Neural Networks (VONNs): A thermodynamics-based variational learning strategy for non-equilibrium PDEs

Reference 23

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Bridging statistical mechanics and thermodynamics away from equilibrium: a data-driven approach for learning internal variables and their dynamics Principal components in regression analysis

Reference 24

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This paper cites Principal component analysis: a review and recent developments.

Bridging statistical mechanics and thermodynamics away from equilibrium: a data-driven approach for learning internal variables and their dynamics Principal component analysis: a review and recent developments

Reference 25

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Bridging statistical mechanics and thermodynamics away from equilibrium: a data-driven approach for learning internal variables and their dynamics Nonlinear elasto-plastic model for dense granular flow

Reference 26

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Bridging statistical mechanics and thermodynamics away from equilibrium: a data-driven approach for learning internal variables and their dynamics A statistical mechanics derivation and implementation of non-conservative phase field models for front propagation in elastic media

Reference 27

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Bridging statistical mechanics and thermodynamics away from equilibrium: a data-driven approach for learning internal variables and their dynamics A statistical mechanics framework for constructing nonequilibrium thermodynamic models

Reference 28

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Bridging statistical mechanics and thermodynamics away from equilibrium: a data-driven approach for learning internal variables and their dynamics Finite Strain Elastic-Plastic Theory with Application to Plane Wave Analysis

Reference 29

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Bridging statistical mechanics and thermodynamics away from equilibrium: a data-driven approach for learning internal variables and their dynamics Model reduction of dynamical systems on nonlinear manifolds using deep convolutional autoencoders

Reference 30

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This paper cites Thermomechanical theory of martensitic phase transformations in inelastic materials.

Bridging statistical mechanics and thermodynamics away from equilibrium: a data-driven approach for learning internal variables and their dynamics Thermomechanical theory of martensitic phase transformations in inelastic materials

Reference 31

Resolution
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This paper cites Learning macroscopic internal variables and history dependence from microscopic models.

Bridging statistical mechanics and thermodynamics away from equilibrium: a data-driven approach for learning internal variables and their dynamics Learning macroscopic internal variables and history dependence from microscopic models

Reference 32

Resolution
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This paper cites On the thermodynamic foundations of non-linear solid mechanics.

Bridging statistical mechanics and thermodynamics away from equilibrium: a data-driven approach for learning internal variables and their dynamics On the thermodynamic foundations of non-linear solid mechanics

Reference 33

Resolution
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Observation 3b239275-4fcc-4183-a555-6a5e06d406d3 · outbound

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Bridging statistical mechanics and thermodynamics away from equilibrium: a data-driven approach for learning internal variables and their dynamics Plasticity theory

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T04:32:06.592401Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-10T04:32:04.914407Z digest=sha256:ef18d4f9fe914a99201bdf3a0945e3fd770f98fed165cd98b4849852f96576f5

Observation 869b228c-f784-4696-9747-461cb4591fc3 · outbound

This paper cites Evolution TANN and the discovery of the internal variables and evolution equations in solid mechanics.

Bridging statistical mechanics and thermodynamics away from equilibrium: a data-driven approach for learning internal variables and their dynamics Evolution TANN and the discovery of the internal variables and evolution equations in solid mechanics

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T04:32:06.567124Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-10T04:32:04.919960Z digest=sha256:173e72b38418c5f01f8c4b0b65134d826bc20d5e003e5de74987743fe3522b5b

Observation d7cf51bc-431d-4c03-a67a-443be29a1c4c · outbound

This paper cites Multiscale modeling of inelastic materials with Thermodynamics-based Artificial Neural Networks (TANN).

Bridging statistical mechanics and thermodynamics away from equilibrium: a data-driven approach for learning internal variables and their dynamics Multiscale modeling of inelastic materials with Thermodynamics-based Artificial Neural Networks (TANN)

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T04:32:06.543352Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-10T04:32:04.931381Z digest=sha256:48cec562e0103c0cdb428ce6f7387c59d895c41db57826c9e66f12ed2b394a89

Observation 7cb1f645-3498-489f-b13c-f123f002cd8b · outbound

This paper cites The thermomechanics of nonlinear irreversible behaviours.

Bridging statistical mechanics and thermodynamics away from equilibrium: a data-driven approach for learning internal variables and their dynamics The thermomechanics of nonlinear irreversible behaviours

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T04:32:06.517679Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-10T04:32:04.960520Z digest=sha256:ff37c3fb29dc4569cc8b2bb999f124550cbadb1514390edf6606f88391031666

Observation ed10ebf6-cca1-4434-8b5e-f2a78be36617 · outbound

This paper cites Thermodynamics with Internal Variables. Part I. General Concepts.

Bridging statistical mechanics and thermodynamics away from equilibrium: a data-driven approach for learning internal variables and their dynamics Thermodynamics with Internal Variables. Part I. General Concepts

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T04:32:06.486481Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-10T04:32:04.969030Z digest=sha256:02d02b80aa674cc2836e4961a34cd34a101c822134040a4b9d15d7fc51c34ca3

Observation 0a7d9169-22e8-40ce-816a-f0e534068db7 · outbound

This paper cites Thermodynamics with Internal Variables. Part II. Applications.

Bridging statistical mechanics and thermodynamics away from equilibrium: a data-driven approach for learning internal variables and their dynamics Thermodynamics with Internal Variables. Part II. Applications

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T04:32:06.462701Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-10T04:32:04.976785Z digest=sha256:7af98864cb5898f1a6f2c17df598e9ab2317737589b6d54c3944a5ee2da9a4a8

Observation a790aca1-e3b0-411a-8773-0616aa95889f · outbound

This paper cites Continuum damage theory—application to concrete.

Bridging statistical mechanics and thermodynamics away from equilibrium: a data-driven approach for learning internal variables and their dynamics Continuum damage theory—application to concrete

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T04:32:06.428076Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-10T04:32:04.984113Z digest=sha256:b618e3b8f48d1c7bb59039acaae45e22718add886904ad44381ec913a9aedc81

Observation 786f64d4-8bbe-4e49-b281-2e1781dcd240 · outbound

This paper cites Self-adaptive physics-informed neural networks.

Bridging statistical mechanics and thermodynamics away from equilibrium: a data-driven approach for learning internal variables and their dynamics Self-adaptive physics-informed neural networks

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T04:32:06.405467Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-10T04:32:04.993991Z digest=sha256:54e8d9abd220f6500d079fad2314452a71974ae5eba22422fe43f09de94c150d

Observation f2b816b7-4051-4d50-9b9d-a525e2b5b70f · outbound

This paper cites Machine learning: a probabilistic perspective.

Bridging statistical mechanics and thermodynamics away from equilibrium: a data-driven approach for learning internal variables and their dynamics Machine learning: a probabilistic perspective

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T04:32:06.368509Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-10T04:32:05.002106Z digest=sha256:7dd9ea2bf8e2afb9119a745fbee550353d040c72fb9cbe2758894dc5636f5456

Observation 5e61f3fd-a4ba-4f19-9003-c7f347219d6b · outbound

This paper cites Internal variables in non-equilibrium thermodynamics.

Bridging statistical mechanics and thermodynamics away from equilibrium: a data-driven approach for learning internal variables and their dynamics Internal variables in non-equilibrium thermodynamics

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T04:32:06.335939Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-10T04:32:05.010809Z digest=sha256:02045ecb4a907c047d3b60dfef77762bc884acc225afc380da05d2621cc36443

Observation 0a3d1846-9dc1-42ef-9736-b4b001f296ff · outbound

This paper cites Beyond equilibrium thermodynamics.

Bridging statistical mechanics and thermodynamics away from equilibrium: a data-driven approach for learning internal variables and their dynamics Beyond equilibrium thermodynamics

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T04:32:06.315701Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-10T04:32:05.022974Z digest=sha256:7c9150eb565053f779f6feee5df19aae908d0b519e2dd995d57434bad82568b0

Observation 12b9bc7b-fa51-49be-9922-4ab26a87178c · outbound

This paper cites Statistical Mechanics: International Series of Monographs in Natural Philosophy.

Bridging statistical mechanics and thermodynamics away from equilibrium: a data-driven approach for learning internal variables and their dynamics Statistical Mechanics: International Series of Monographs in Natural Philosophy

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T04:32:06.292190Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-10T04:32:05.033919Z digest=sha256:6dfea31239ab36dbbba4b6118dc3e689891682cb0ce8f7a542c78b367f594e30

Observation d22094bd-bd4a-487c-ad96-f3d680976044 · outbound

This paper cites Reaction coordinates and mechanistic hypothesis tests.

Bridging statistical mechanics and thermodynamics away from equilibrium: a data-driven approach for learning internal variables and their dynamics Reaction coordinates and mechanistic hypothesis tests

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T04:32:06.264598Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-10T04:32:05.042524Z digest=sha256:1169671ef1c59639c4cd709eecc07f2bf750f2df3cd23ac0b190d823153be2b6

Observation e860c715-f20a-4ab0-816b-2424c414d30a · outbound

This paper cites Thermodynamics of rate-independent plasticity.

Bridging statistical mechanics and thermodynamics away from equilibrium: a data-driven approach for learning internal variables and their dynamics Thermodynamics of rate-independent plasticity

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T04:32:06.236927Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-10T04:32:05.049921Z digest=sha256:018eab582e38f9f8694e1a2de91991e2d9b4baba420a8742d113cc4e06a92f2e

Observation e9d20a17-0a10-489f-b5e7-eed1d57ece68 · outbound

This paper cites Incompressible inelasticity as an essential ingredient for the validity of the kinematic decomposition F= FeFi.

Bridging statistical mechanics and thermodynamics away from equilibrium: a data-driven approach for learning internal variables and their dynamics Incompressible inelasticity as an essential ingredient for the validity of the kinematic decomposition F= FeFi

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T04:32:06.207241Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-10T04:32:05.055440Z digest=sha256:20899ba8e3dbfaef2a2baea928092a505ab1bdde73c7f1ae64b5658af2706b0d

Observation e7ccbf42-cc03-47ae-9b7f-eaaa34ea72a4 · outbound

This paper cites Derivation of F= FeFp as the continuum limit of crystalline slip.

Bridging statistical mechanics and thermodynamics away from equilibrium: a data-driven approach for learning internal variables and their dynamics Derivation of F= FeFp as the continuum limit of crystalline slip

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T04:32:06.173373Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-10T04:32:05.061193Z digest=sha256:06d46b9231ad27a5e0c3bdbfe5478fc804c5fd06371fd3ef93a8306b6ec7b058

Observation 82f0f367-1a92-4edc-a1d7-d3ed4189c481 · outbound

This paper cites Kinematics of elasto-plasticity: Validity and limits of applicability of F= FeFp for general three-dimensional deformations.

Bridging statistical mechanics and thermodynamics away from equilibrium: a data-driven approach for learning internal variables and their dynamics Kinematics of elasto-plasticity: Validity and limits of applicability of F= FeFp for general three-dimensional deformations

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T04:32:06.150951Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-10T04:32:05.070774Z digest=sha256:603860b343e6211ccf73ff8168f03f4c728b7feab3f1ebd769d21a4fb57b5bfd

Observation 5dd0209c-7d58-4023-b1bf-848632814c0a · outbound

This paper cites Inelastic constitutive relations for solids: an internal-variable theory and its application to metal plasticity.

Bridging statistical mechanics and thermodynamics away from equilibrium: a data-driven approach for learning internal variables and their dynamics Inelastic constitutive relations for solids: an internal-variable theory and its application to metal plasticity

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T04:32:06.123398Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-10T04:32:05.078789Z digest=sha256:bfa03a9f5f72588497930e63fe9b135a1e4a3f839d32ec1671fbcbe2e5853d5e

Observation 1639098b-9d52-48af-9f7f-3575f8a1fcf1 · outbound

This paper cites Inelastic constitutive relations for solids: an internal-variable theory and its application to metal plasticity.

Bridging statistical mechanics and thermodynamics away from equilibrium: a data-driven approach for learning internal variables and their dynamics Inelastic constitutive relations for solids: an internal-variable theory and its application to metal plasticity

Reference 52

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T04:32:06.100802Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-10T04:32:05.095485Z digest=sha256:ae5251e2e6a1896e3bda88bd2e1d4be96e40c4110d37bc4b6b89e2daf7fad80c

Observation 0988ccee-5248-45df-8dfe-164ec7843224 · outbound

This paper cites Stress-dependent finite growth in soft elastic tissues.

Bridging statistical mechanics and thermodynamics away from equilibrium: a data-driven approach for learning internal variables and their dynamics Stress-dependent finite growth in soft elastic tissues

Reference 53

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T04:32:06.072401Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-10T04:32:05.106425Z digest=sha256:956c6edd093eaf6f987126469467dc353f32c7629279718b326ce228e9039240

Observation fa36c4a5-032c-4ff7-b19b-d82716d87608 · outbound

This paper cites Determination of reaction coordinates via locally scaled diffusion map.

Bridging statistical mechanics and thermodynamics away from equilibrium: a data-driven approach for learning internal variables and their dynamics Determination of reaction coordinates via locally scaled diffusion map

Reference 54

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T04:32:06.037931Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-10T04:32:05.115003Z digest=sha256:20bb77bf234a1e57ae2dbce6f595cd11bb2b124e8e5567f6ba2cce6c8a3504e1

Observation a08fb9ac-3981-45df-94c4-6b98754b8d49 · outbound

This paper cites Scaffolds, levers, rods and springs: diverse cellular functions of long coiled-coil proteins.

Bridging statistical mechanics and thermodynamics away from equilibrium: a data-driven approach for learning internal variables and their dynamics Scaffolds, levers, rods and springs: diverse cellular functions of long coiled-coil proteins

Reference 55

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T04:32:06.004142Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-10T04:32:05.120124Z digest=sha256:16e99cd2fb8be299f24c303feeb1f2dfa66ce2fc47ce690cd055e27853626bef

Observation 582b1334-5b11-4023-b03e-0c2aa9e3b506 · outbound

This paper cites Hyper-reduction of mechanical models involving internal variables.

Bridging statistical mechanics and thermodynamics away from equilibrium: a data-driven approach for learning internal variables and their dynamics Hyper-reduction of mechanical models involving internal variables

Reference 56

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T04:32:05.974120Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-10T04:32:05.126048Z digest=sha256:19f1511506c57a8ed1fba90346b83cf68d3e4134f7537d62c4314d53a4d42e0a

Observation bd2ef92c-75da-4d00-8e73-f78c69116996 · outbound

This paper cites Second law, entropy production, and reversibility in thermodynamics of information.

Bridging statistical mechanics and thermodynamics away from equilibrium: a data-driven approach for learning internal variables and their dynamics Second law, entropy production, and reversibility in thermodynamics of information

Reference 57

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T04:32:05.950251Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-10T04:32:05.132034Z digest=sha256:23f9adf0fc1c9a2f6467288d933de7f6983cbdecce0517b9e7797097263a40c8

Observation 946240e4-a3e9-4b62-b1b6-d055c4c6726e · outbound

This paper cites Relationship between local structure and relaxation in out-of-equilibrium glassy systems.

Bridging statistical mechanics and thermodynamics away from equilibrium: a data-driven approach for learning internal variables and their dynamics Relationship between local structure and relaxation in out-of-equilibrium glassy systems

Reference 58

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T04:32:05.927447Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-10T04:32:05.138786Z digest=sha256:3cc2a51d946ba8a1ab66a54da627d7969a717e67ad184b7f8cc53339a8a90fe0

Observation e23778b0-c9d9-4135-87c2-a0f15de753fb · outbound

This paper cites Statistical mechanics: entropy, order parameters, and complexity.

Bridging statistical mechanics and thermodynamics away from equilibrium: a data-driven approach for learning internal variables and their dynamics Statistical mechanics: entropy, order parameters, and complexity

Reference 59

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T04:32:05.903846Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-10T04:32:05.146572Z digest=sha256:2bf8fd265dc3cba5843ed9bb527bb76bd30a3ccc70ebe75c417de69c529eefaa

Observation 843df122-2dbc-4f1a-8022-66e9df5dc84c · outbound

This paper cites Elasto-viscoplastic phase field modelling of anisotropic cleavage fracture.

Bridging statistical mechanics and thermodynamics away from equilibrium: a data-driven approach for learning internal variables and their dynamics Elasto-viscoplastic phase field modelling of anisotropic cleavage fracture

Reference 60

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T04:32:05.870722Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-10T04:32:05.156436Z digest=sha256:2f096728e765ae4f8e7e0f5393b7b11629799f0d6b6aa0b8eff88e38c1f4179f

Observation 22bec120-6c53-4bbc-b0ba-ac564647dc66 · outbound

This paper cites Information bottleneck approach to predictive inference.

Bridging statistical mechanics and thermodynamics away from equilibrium: a data-driven approach for learning internal variables and their dynamics Information bottleneck approach to predictive inference

Reference 61

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T04:32:05.841956Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-10T04:32:05.161354Z digest=sha256:4f3a973eec7cc25daad0ecbf40f09d34f1d24595f3956babf1174d60555d007d

Observation 1a3b9385-4f4c-4cc7-8c8d-93a742b1b382 · outbound

This paper cites Thermodynamics of prediction.

Bridging statistical mechanics and thermodynamics away from equilibrium: a data-driven approach for learning internal variables and their dynamics Thermodynamics of prediction

Reference 62

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T04:32:05.815700Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-10T04:32:05.166659Z digest=sha256:8a2a79a36673dbc8da9431ee490461df1dee5f165011b477b3cb1dd3fc6a91dc

Observation 23957019-58c9-4f8f-90d3-b5afcbb0ca22 · outbound

This paper cites Machine learning materials physics: Integrable deep neural networks enable scale bridging by learning free energy functions.

Bridging statistical mechanics and thermodynamics away from equilibrium: a data-driven approach for learning internal variables and their dynamics Machine learning materials physics: Integrable deep neural networks enable scale bridging by learning free energy functions

Reference 63

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T04:32:05.786773Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-10T04:32:05.182331Z digest=sha256:4d515a08ab2c904d8940afcb8a513047d9024325abab81d64da4ff0a703bc4d2

Observation 49df8c8f-c361-4682-8989-75677e18e9dc · outbound

This paper cites Scale bridging materials physics: Active learning workflows and integrable deep neural networks for free energy function representations in alloys.

Bridging statistical mechanics and thermodynamics away from equilibrium: a data-driven approach for learning internal variables and their dynamics Scale bridging materials physics: Active learning workflows and integrable deep neural networks for free energy function representations in alloys

Reference 64

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T04:32:05.764160Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-10T04:32:05.188885Z digest=sha256:6928d8e3be3be93baa8558471261e01e1adcd7f26c731d383bd60f778765ad05

Observation 02da389c-cfe3-4489-8833-85264e8dc5d9 · outbound

This paper cites A thermomechanical constitutive model for cemented granular materials with quantifiable internal variables. Part I—Theory.

Bridging statistical mechanics and thermodynamics away from equilibrium: a data-driven approach for learning internal variables and their dynamics A thermomechanical constitutive model for cemented granular materials with quantifiable internal variables. Part I—Theory

Reference 65

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T04:32:05.738531Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-10T04:32:05.194074Z digest=sha256:308e2e94b5ba401ea3d1c9fe47ad314248addddbd5ec4e1e72a021491d075d9e

Observation 7cf85d92-03d4-4fe0-b7d7-3f8b07a2d8a3 · outbound

This paper cites The information bottleneck method.

Bridging statistical mechanics and thermodynamics away from equilibrium: a data-driven approach for learning internal variables and their dynamics The information bottleneck method

Reference 66

Resolution
unresolved
no resolver link, observed 2026-08-10T04:32:05.201853Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T04:32:05.201853Z digest=sha256:51697aa3981ed63b2ae049d9a02e39a4aac72441a5c670792f9a9331e998d0a4

Observation 15e8af3b-a747-4a10-a043-b72be1cfc5de · outbound

This paper cites Combined molecular/continuum modeling reveals the role of friction during fast unfolding of coiled-coil proteins.

Bridging statistical mechanics and thermodynamics away from equilibrium: a data-driven approach for learning internal variables and their dynamics Combined molecular/continuum modeling reveals the role of friction during fast unfolding of coiled-coil proteins

Reference 67

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T04:32:05.710872Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-10T04:32:05.209497Z digest=sha256:e84af3dc0ebe1f0ecaca72b7c845b2259767a54b723cf34b3c3b148a32c51d5b

Observation 54485a81-0d7f-4fbd-80a1-262a16e413f3 · outbound

This paper cites Roadmap on multiscale materials modeling.

Bridging statistical mechanics and thermodynamics away from equilibrium: a data-driven approach for learning internal variables and their dynamics Roadmap on multiscale materials modeling

Reference 68

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T04:32:05.683368Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

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Observation cd531680-ac4c-431f-b24a-a244202ecfc0 · outbound

This paper cites Interpretable embeddings from molecular simulations using Gaussian mixture variational autoencoders.

Bridging statistical mechanics and thermodynamics away from equilibrium: a data-driven approach for learning internal variables and their dynamics Interpretable embeddings from molecular simulations using Gaussian mixture variational autoencoders

Reference 69

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T04:32:05.658770Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-10T04:32:05.223387Z digest=sha256:cd71cc209bb395f63f92f625874f51f0831f4226054bc90a41f6313d78d3edb8

Observation 97f98a7f-795b-4193-bfd1-1509fc30179c · outbound

This paper cites Universal approximation of functions on sets.

Bridging statistical mechanics and thermodynamics away from equilibrium: a data-driven approach for learning internal variables and their dynamics Universal approximation of functions on sets

Reference 70

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T04:32:05.629055Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-10T04:32:05.232376Z digest=sha256:b34a539f5e5be4af039e7bcf0df5044d7c5de46a968b64dc3b706a1477e0de6e

Observation 6f794b75-ef00-4c97-8159-8d4d478bb4ef · outbound

This paper cites When and why PINNs fail to train: A neural tangent kernel perspective.

Bridging statistical mechanics and thermodynamics away from equilibrium: a data-driven approach for learning internal variables and their dynamics When and why PINNs fail to train: A neural tangent kernel perspective

Reference 71

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T04:32:05.601015Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

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Observation c9853c82-199f-4ecd-a73c-ea1c5070b166 · outbound

This paper cites Past–future information bottleneck for sampling molecular reaction coordinate simultaneously with thermodynamics and kinetics.

Bridging statistical mechanics and thermodynamics away from equilibrium: a data-driven approach for learning internal variables and their dynamics Past–future information bottleneck for sampling molecular reaction coordinate simultaneously with thermodynamics and kinetics

Reference 72

Resolution
malformed identifier
raw_fallback, observed 2026-08-10T04:32:05.565774Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-10T04:32:05.255353Z digest=sha256:d573f750289dfcad8c13dd259744fe33125b7424d3fca5d3a9fb0fa3e7fd947e

Observation c145c9df-b303-46dc-a3ae-ba24f70a3811 · outbound

This paper cites Time-lagged autoencoders: Deep learning of slow collective variables for molecular kinetics.

Bridging statistical mechanics and thermodynamics away from equilibrium: a data-driven approach for learning internal variables and their dynamics Time-lagged autoencoders: Deep learning of slow collective variables for molecular kinetics

Reference 73

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T04:32:05.538636Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-10T04:32:05.267043Z digest=sha256:3a3f0a2fa7efc7b67c8bcee73d7dc03f880fa97a598d11639676cec06e5ea40a

Observation b6790d98-51b1-4f6a-9dbf-c02864214dbf · outbound

This paper cites Learning Likelihoods with Conditional Normalizing Flows.

Bridging statistical mechanics and thermodynamics away from equilibrium: a data-driven approach for learning internal variables and their dynamics Learning Likelihoods with Conditional Normalizing Flows

Reference 74

Resolution
unresolved
no resolver link, observed 2026-08-10T04:32:05.281151Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T04:32:05.281151Z digest=sha256:460e8782427177f50a14733a312252bad3078ef38e00f583b6696c352a6726e8

Observation 9736105f-7a35-4a6a-b868-7055f4f37007 · outbound

This paper cites Deep sets.

Bridging statistical mechanics and thermodynamics away from equilibrium: a data-driven approach for learning internal variables and their dynamics Deep sets

Reference 75

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T04:32:05.508214Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-10T04:32:05.289821Z digest=sha256:163b22a56d500b765c80664968644fe5738052b4c7168a0a7e161042a7b56927

Pith citing papers

Observation 53f1b902-53dc-4d87-8e84-126621d391e3 · inbound

On a structure preserving closure of Langevin dynamics cites this paper.

On a structure preserving closure of Langevin dynamics Bridging statistical mechanics and thermodynamics away from equilibrium: a data-driven approach for learning internal variables and their dynamics

Reference 5

Resolution
verified exact
local_arxiv, observed 2026-08-07T05:28:18.958235Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T05:28:18.918896Z digest=sha256:ce31f4f17a077fa61b9eb56cd6cc646a81f3ada845703c09b3532d46d72db9ce