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Paper Citation Record · LEDGER

Learning Along the Arrow of Time: Hyperbolic Geometry for Backward-Compatible Representation Learning

As of 9 August 2026, this Paper Citation Record lists 70 of 70 outbound references and 0 inbound Pith citation observations for arXiv:2506.05826.

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

pith.paper-citation-record.v1
2506.05826 v1

Coverage vector

measured 70 of 70 reference resolution

Typed states for the displayed outbound observations.

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measured 70 of 70 standing notices

One-hop event checks from named stored sources.

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measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

70 of 70 outbound references displayed

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External citation measurements

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Outbound references

Observation 851cf910-7aec-4551-85a2-0b43ddc3a390 · outbound

This paper cites write newline.

Learning Along the Arrow of Time: Hyperbolic Geometry for Backward-Compatible Representation Learning write newline

Reference 1

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Observation c1645df9-e782-4895-bf5a-37dee6ffd012 · outbound

This paper cites Hyperbolic Dynamical Systems.

Learning Along the Arrow of Time: Hyperbolic Geometry for Backward-Compatible Representation Learning Hyperbolic Dynamical Systems

Reference 2

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Observation 5bb3e1b4-ec3e-44e4-aec8-e166ba9e4c51 · outbound

This paper cites G., Schoep, J., Acar, E., Van Noord, N., and Mettes, P.

Learning Along the Arrow of Time: Hyperbolic Geometry for Backward-Compatible Representation Learning G., Schoep, J., Acar, E., Van Noord, N., and Mettes, P

Reference 3

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Observation cc2c46b5-f53f-4ad5-9049-d46ecbd11128 · outbound

This paper cites Revisiting model stitching to compare neural representations.

Learning Along the Arrow of Time: Hyperbolic Geometry for Backward-Compatible Representation Learning Revisiting model stitching to compare neural representations

Reference 4

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Observation 56f7907c-d192-4db6-8568-7543174a0f48 · outbound

This paper cites The Hyperbolic Theory of Special Relativity.

Learning Along the Arrow of Time: Hyperbolic Geometry for Backward-Compatible Representation Learning The Hyperbolic Theory of Special Relativity

Reference 5

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Observation 241fe005-d6fb-4e0a-976f-7ec839e7280d · outbound

This paper cites Fully Hyperbolic Convolutional Neural Networks for Computer Vision.

Learning Along the Arrow of Time: Hyperbolic Geometry for Backward-Compatible Representation Learning Fully Hyperbolic Convolutional Neural Networks for Computer Vision

Reference 6

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Observation 6a57722b-3d45-412b-98f4-8828474aaf9a · outbound

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

Learning Along the Arrow of Time: Hyperbolic Geometry for Backward-Compatible Representation Learning Representation learning: A review and new perspectives

Reference 7

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Observation f0186f66-d7ed-45d3-aa61-1baaff776308 · outbound

This paper cites Stationary representations: Optimally approximating compatibility and implications for improved model replacements.

Learning Along the Arrow of Time: Hyperbolic Geometry for Backward-Compatible Representation Learning Stationary representations: Optimally approximating compatibility and implications for improved model replacements

Reference 8

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Source-reported events for the cited work

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Observation 597e32fd-1362-4814-a5e4-b7f2030cc91c · outbound

This paper cites On the Opportunities and Risks of Foundation Models.

Learning Along the Arrow of Time: Hyperbolic Geometry for Backward-Compatible Representation Learning On the Opportunities and Risks of Foundation Models

Reference 9

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This paper cites and Mago, V.

Learning Along the Arrow of Time: Hyperbolic Geometry for Backward-Compatible Representation Learning and Mago, V

Reference 10

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Observation dfb4d29b-7f8b-4f0f-9ef0-24512372127d · outbound

This paper cites R3 adversarial network for cross model face recognition.

Learning Along the Arrow of Time: Hyperbolic Geometry for Backward-Compatible Representation Learning R3 adversarial network for cross model face recognition

Reference 11

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This paper cites A simple framework for contrastive learning of visual representations.

Learning Along the Arrow of Time: Hyperbolic Geometry for Backward-Compatible Representation Learning A simple framework for contrastive learning of visual representations

Reference 12

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This paper cites M., Georgiou, T., Fieguth, P., Liu, L., and Lew, M.

Learning Along the Arrow of Time: Hyperbolic Geometry for Backward-Compatible Representation Learning M., Georgiou, T., Fieguth, P., Liu, L., and Lew, M

Reference 13

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This paper cites D., Wang, X., Vineet, V., Joshi, N., Torralba, A., Jegelka, S., and Song, Y.

Learning Along the Arrow of Time: Hyperbolic Geometry for Backward-Compatible Representation Learning D., Wang, X., Vineet, V., Joshi, N., Torralba, A., Jegelka, S., and Song, Y

Reference 14

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This paper cites Learning continual compatible representation for re-indexing free lifelong person re-identification.

Learning Along the Arrow of Time: Hyperbolic Geometry for Backward-Compatible Representation Learning Learning continual compatible representation for re-indexing free lifelong person re-identification

Reference 15

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Learning Along the Arrow of Time: Hyperbolic Geometry for Backward-Compatible Representation Learning Unresolved cited work

Reference 16

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This paper cites BERT: Pre-training of Deep Bidirectional Transformers for Language Understanding.

Learning Along the Arrow of Time: Hyperbolic Geometry for Backward-Compatible Representation Learning BERT: Pre-training of Deep Bidirectional Transformers for Language Understanding

Reference 17

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Observation cf8dd4b5-a550-457e-a76b-b05db003ee0a · outbound

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Learning Along the Arrow of Time: Hyperbolic Geometry for Backward-Compatible Representation Learning Embedding Text in Hyperbolic Spaces

Reference 18

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Learning Along the Arrow of Time: Hyperbolic Geometry for Backward-Compatible Representation Learning An Image is Worth 16x16 Words: Transformers for Image Recognition at Scale

Reference 19

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Learning Along the Arrow of Time: Hyperbolic Geometry for Backward-Compatible Representation Learning A., and Weyl, H

Reference 20

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Learning Along the Arrow of Time: Hyperbolic Geometry for Backward-Compatible Representation Learning Towards artificial general intelligence via a multimodal foundation model

Reference 21

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Learning Along the Arrow of Time: Hyperbolic Geometry for Backward-Compatible Representation Learning HYperbolic Self-Paced Learning for Self-Supervised Skeleton-based Action Representations

Reference 22

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Learning Along the Arrow of Time: Hyperbolic Geometry for Backward-Compatible Representation Learning Hyperbolic entailment cones for learning hierarchical embeddings

Reference 23

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Learning Along the Arrow of Time: Hyperbolic Geometry for Backward-Compatible Representation Learning Retrieval-Augmented Generation for Large Language Models: A Survey

Reference 24

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Learning Along the Arrow of Time: Hyperbolic Geometry for Backward-Compatible Representation Learning Deep multimodal representation learning: A survey

Reference 25

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Learning Along the Arrow of Time: Hyperbolic Geometry for Backward-Compatible Representation Learning Deep residual learning for image recognition

Reference 26

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Learning Along the Arrow of Time: Hyperbolic Geometry for Backward-Compatible Representation Learning Learning backward compatible embeddings

Reference 27

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Learning Along the Arrow of Time: Hyperbolic Geometry for Backward-Compatible Representation Learning G., Noord, N

Reference 28

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Learning Along the Arrow of Time: Hyperbolic Geometry for Backward-Compatible Representation Learning FastFill: Efficient Compatible Model Update

Reference 29

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Learning Along the Arrow of Time: Hyperbolic Geometry for Backward-Compatible Representation Learning Unresolved cited work

Reference 30

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Learning Along the Arrow of Time: Hyperbolic Geometry for Backward-Compatible Representation Learning and Bilge, H

Reference 31

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Learning Along the Arrow of Time: Hyperbolic Geometry for Backward-Compatible Representation Learning Hyperbolic image embeddings

Reference 32

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Learning Along the Arrow of Time: Hyperbolic Geometry for Backward-Compatible Representation Learning A survey of recommendation systems: recommendation models, techniques, and application fields

Reference 33

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Learning Along the Arrow of Time: Hyperbolic Geometry for Backward-Compatible Representation Learning Learning multiple layers of features from tiny images

Reference 34

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Learning Along the Arrow of Time: Hyperbolic Geometry for Backward-Compatible Representation Learning Lorentzian distance learning for hyperbolic representations

Reference 35

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Observation 42190271-9445-4c5d-9122-1fd5fb075c07 · outbound

This paper cites and Yang, X.

Learning Along the Arrow of Time: Hyperbolic Geometry for Backward-Compatible Representation Learning and Yang, X

Reference 36

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Observation d96904d1-e90e-49a0-85e0-59835175cd8c · outbound

This paper cites Hyperbolic anomaly detection.

Learning Along the Arrow of Time: Hyperbolic Geometry for Backward-Compatible Representation Learning Hyperbolic anomaly detection

Reference 37

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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Observation 1f1452fc-745d-4cf6-af42-d070b182e8e5 · outbound

This paper cites Convergent Learning: Do different neural networks learn the same representations?.

Learning Along the Arrow of Time: Hyperbolic Geometry for Backward-Compatible Representation Learning Convergent Learning: Do different neural networks learn the same representations?

Reference 38

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Unavailable: canonical work link unavailable.

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Observation 37091a11-bc83-4d71-b392-93978d18791e · outbound

This paper cites S., and Xu, G.

Learning Along the Arrow of Time: Hyperbolic Geometry for Backward-Compatible Representation Learning S., and Xu, G

Reference 39

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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Observation f45629e3-ca3e-40d8-94a3-36d9db80359a · outbound

This paper cites Hyperbolic graph neural networks.

Learning Along the Arrow of Time: Hyperbolic Geometry for Backward-Compatible Representation Learning Hyperbolic graph neural networks

Reference 40

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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Observation 74746b62-8079-4e56-8943-13dddc265402 · outbound

This paper cites Multimodal recommender systems: A survey.

Learning Along the Arrow of Time: Hyperbolic Geometry for Backward-Compatible Representation Learning Multimodal recommender systems: A survey

Reference 41

Resolution
verified fuzzy
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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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Observation 5522f410-346c-469d-9fd4-50887cd7eb9f · outbound

This paper cites Klein Model for Hyperbolic Neural Networks.

Learning Along the Arrow of Time: Hyperbolic Geometry for Backward-Compatible Representation Learning Klein Model for Hyperbolic Neural Networks

Reference 42

Resolution
verified exact
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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Observation aaa459f7-8d4e-47e2-a54f-6755e7caca82 · outbound

This paper cites Umap: Uniform manifold approximation and projection.

Learning Along the Arrow of Time: Hyperbolic Geometry for Backward-Compatible Representation Learning Umap: Uniform manifold approximation and projection

Reference 43

Resolution
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 8e4072fc-41c0-4db4-80c7-6c60284064af · outbound

This paper cites Learning compatible embeddings.

Learning Along the Arrow of Time: Hyperbolic Geometry for Backward-Compatible Representation Learning Learning compatible embeddings

Reference 44

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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Observation 4c1dddf9-af13-45ee-95b6-ad5f50439616 · outbound

This paper cites The numerical stability of hyperbolic representation learning.

Learning Along the Arrow of Time: Hyperbolic Geometry for Backward-Compatible Representation Learning The numerical stability of hyperbolic representation learning

Reference 45

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation cde8ce59-e119-43f2-a735-d6bf364a0b6c · outbound

This paper cites and Kiela, D.

Learning Along the Arrow of Time: Hyperbolic Geometry for Backward-Compatible Representation Learning and Kiela, D

Reference 46

Resolution
unresolved
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 588f2347-a43e-4d1d-ad39-a23898668b80 · outbound

This paper cites Representation Learning with Contrastive Predictive Coding.

Learning Along the Arrow of Time: Hyperbolic Geometry for Backward-Compatible Representation Learning Representation Learning with Contrastive Predictive Coding

Reference 47

Resolution
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 97af2781-fecb-4007-87c9-4e4d4638efaa · outbound

This paper cites Compositional Entailment Learning for Hyperbolic Vision-Language Models.

Learning Along the Arrow of Time: Hyperbolic Geometry for Backward-Compatible Representation Learning Compositional Entailment Learning for Hyperbolic Vision-Language Models

Reference 48

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation bb3a93c6-b0c6-448a-8229-0b4fa22f476b · outbound

This paper cites Boundary-aware backward-compatible representation via adversarial learning in image retrieval.

Learning Along the Arrow of Time: Hyperbolic Geometry for Backward-Compatible Representation Learning Boundary-aware backward-compatible representation via adversarial learning in image retrieval

Reference 49

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T10:24:24.920002Z digest=sha256:050be55fea933286a3630e384cbaf523d54f25000053cf17ef5bd64b3265ffbf

Observation e992d610-8987-4645-bf97-f98bf7118995 · outbound

This paper cites Hyperbolic deep neural networks: A survey.

Learning Along the Arrow of Time: Hyperbolic Geometry for Backward-Compatible Representation Learning Hyperbolic deep neural networks: A survey

Reference 50

Resolution
verified fuzzy
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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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Observation be3df503-764b-4274-92be-911ce736b142 · outbound

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Learning Along the Arrow of Time: Hyperbolic Geometry for Backward-Compatible Representation Learning Unresolved cited work

Reference 51

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Source-reported events for the cited work

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Observation bacd311c-12be-4644-8087-1e1b21e8c03f · outbound

This paper cites Improving language understanding by generative pre-training.

Learning Along the Arrow of Time: Hyperbolic Geometry for Backward-Compatible Representation Learning Improving language understanding by generative pre-training

Reference 52

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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Observation 17097a6b-9a9b-4c68-a177-27ab29ec8321 · outbound

This paper cites W., Hallacy, C., Ramesh, A., Goh, G., Agarwal, S., Sastry, G., Askell, A., Mishkin, P., Clark, J., et al.

Learning Along the Arrow of Time: Hyperbolic Geometry for Backward-Compatible Representation Learning W., Hallacy, C., Ramesh, A., Goh, G., Agarwal, S., Sastry, G., Askell, A., Mishkin, P., Clark, J., et al

Reference 53

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 73e160a5-87ed-4af6-aae9-b5c83bbd6435 · outbound

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Learning Along the Arrow of Time: Hyperbolic Geometry for Backward-Compatible Representation Learning Unresolved cited work

Reference 54

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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Observation 1ddf0a31-3519-4ed5-98cf-dd63efdcd4f4 · outbound

This paper cites ImageNet-21K Pretraining for the Masses.

Learning Along the Arrow of Time: Hyperbolic Geometry for Backward-Compatible Representation Learning ImageNet-21K Pretraining for the Masses

Reference 55

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Observation f8921c6a-db4d-4e1f-ad57-62fe066ae4ce · outbound

This paper cites An overview of gradient descent optimization algorithms.

Learning Along the Arrow of Time: Hyperbolic Geometry for Backward-Compatible Representation Learning An overview of gradient descent optimization algorithms

Reference 56

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Unavailable: canonical work link unavailable.

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Observation 73830c97-0639-4a2f-b6c0-6917a97fbbc7 · outbound

This paper cites Towards backward-compatible representation learning.

Learning Along the Arrow of Time: Hyperbolic Geometry for Backward-Compatible Representation Learning Towards backward-compatible representation learning

Reference 57

Resolution
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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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Observation 1ba32c96-ef4b-4adc-975b-1afb9213990f · outbound

This paper cites On einstein--minkowski space--time.

Learning Along the Arrow of Time: Hyperbolic Geometry for Backward-Compatible Representation Learning On einstein--minkowski space--time

Reference 58

Resolution
verified exact
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Source-reported events for the cited work

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Observation c5013e85-a253-4c3f-9a06-79930076e9ee · outbound

This paper cites Learning the predictability of the future.

Learning Along the Arrow of Time: Hyperbolic Geometry for Backward-Compatible Representation Learning Learning the predictability of the future

Reference 59

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verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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Observation 95e167ab-3d03-4d1d-826b-69b0a8d18e2f · outbound

This paper cites Unified Representation Learning for Cross Model Compatibility.

Learning Along the Arrow of Time: Hyperbolic Geometry for Backward-Compatible Representation Learning Unified Representation Learning for Cross Model Compatibility

Reference 60

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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Observation e80669cb-74de-4e07-91c0-183330ff569d · outbound

This paper cites Cosface: Large margin cosine loss for deep face recognition.

Learning Along the Arrow of Time: Hyperbolic Geometry for Backward-Compatible Representation Learning Cosface: Large margin cosine loss for deep face recognition

Reference 61

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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Observation e96286c9-c0a7-47fb-8a23-02a00ecee29d · outbound

This paper cites A comprehensive survey of continual learning: theory, method and application.

Learning Along the Arrow of Time: Hyperbolic Geometry for Backward-Compatible Representation Learning A comprehensive survey of continual learning: theory, method and application

Reference 62

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-07T10:24:24.988588Z digest=sha256:9091826d64b7bf398b0fc9b63ebe56d8094238cccbc3287aad5efe27ac0019b1

Observation d00b8083-0b51-4479-8723-b7e6cd8184b5 · outbound

This paper cites Exploring hierarchical information in hyperbolic space for self-supervised image hashing.

Learning Along the Arrow of Time: Hyperbolic Geometry for Backward-Compatible Representation Learning Exploring hierarchical information in hyperbolic space for self-supervised image hashing

Reference 63

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation bd8f56fe-4636-4b1d-a0c5-012d2211f5b9 · outbound

This paper cites Positive-congruent training: Towards regression-free model updates.

Learning Along the Arrow of Time: Hyperbolic Geometry for Backward-Compatible Representation Learning Positive-congruent training: Towards regression-free model updates

Reference 64

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-07T10:24:24.999126Z digest=sha256:55bba8139f5dbc2fee117f8b6c635229e45da0aa62efb3d8743edeb5a6e3bedd

Observation 184bed17-9151-4bc6-b449-c21ee3c40d2b · outbound

This paper cites Y., and Xu, G.

Learning Along the Arrow of Time: Hyperbolic Geometry for Backward-Compatible Representation Learning Y., and Xu, G

Reference 65

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:24:25.886977Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-07T10:24:25.004727Z digest=sha256:443db687cae86044e9d59068c9cb63297566e69e16dd69b1578346ffe3201788

Observation 57162e4e-0817-4429-8a2a-36fa049c43ef · outbound

This paper cites Hyperbolic representation learning: Revisiting and advancing.

Learning Along the Arrow of Time: Hyperbolic Geometry for Backward-Compatible Representation Learning Hyperbolic representation learning: Revisiting and advancing

Reference 66

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-07T10:24:25.010466Z digest=sha256:e1c5e7c8ad337ed5879eaafd357915bf238ad14d866ec040187782887bc0d4b6

Observation 2a7f61eb-9f86-4030-81cc-75443af8dccc · outbound

This paper cites Hyperbolic fine-tuning for large language models, 2024.

Learning Along the Arrow of Time: Hyperbolic Geometry for Backward-Compatible Representation Learning Hyperbolic fine-tuning for large language models, 2024

Reference 67

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T10:24:25.015300Z digest=sha256:46ff7c90abc70b3e2aa8aa91ba357204a1b589dd01dfa5a05f5411f8d06026b6

Observation 562b6314-d926-4846-9a3f-08d9541978f8 · outbound

This paper cites Hot-Refresh Model Upgrades with Regression-Alleviating Compatible Training in Image Retrieval.

Learning Along the Arrow of Time: Hyperbolic Geometry for Backward-Compatible Representation Learning Hot-Refresh Model Upgrades with Regression-Alleviating Compatible Training in Image Retrieval

Reference 68

Resolution
verified exact
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-07T10:24:25.020514Z digest=sha256:d9a7f4ee7ada1a946674917caf4dcd3703c22c1d198f4d9fb58433cb392f0a9d

Observation d1c0a660-5ba6-4a83-9887-805b93cb1009 · outbound

This paper cites Bt\^ 2: Backward-compatible training with basis transformation.

Learning Along the Arrow of Time: Hyperbolic Geometry for Backward-Compatible Representation Learning Bt\^ 2: Backward-compatible training with basis transformation

Reference 69

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:24:25.853861Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-07T10:24:25.026124Z digest=sha256:e72c8c8d7b4fda7aa5afed38760a2bb442c668486997e984cdd8b74dba6499c4

Observation 9917d771-3021-4bab-acd3-5d3c03b931ed · outbound

This paper cites Large language models for information retrieval: A survey.

Learning Along the Arrow of Time: Hyperbolic Geometry for Backward-Compatible Representation Learning Large language models for information retrieval: A survey

Reference 70

Resolution
unresolved
no resolver link, observed 2026-08-07T10:24:25.031073Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Pith citing papers

No inbound Pith citation observations are available.