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Paper Citation Record · LEDGER

The Butterfly Effect: Neural Network Training Trajectories Are Highly Sensitive to Initial Conditions

As of 21 August 2026, this Paper Citation Record lists 73 of 73 outbound references and 2 inbound Pith citation observations for arXiv:2506.13234.

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

pith.paper-citation-record.v1
2506.13234 v1

Coverage vector

measured 73 of 73 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T00:43:09.868839Z

measured 75 of 75 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-01T14:42:34.657120Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-04T10:39:45.033475Z

Reference resolution

73 of 73 outbound references displayed

  • verified exact3
  • verified fuzzy48
  • unresolved22
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation eb4a1a6b-df93-45ea-9a23-44c197a959d6 · outbound

This paper cites write newline.

The Butterfly Effect: Neural Network Training Trajectories Are Highly Sensitive to Initial Conditions write newline

Reference 1

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T00:43:05.100047Z digest=sha256:cf0434bfbc3a5bc7af680f71f3bd301773a995e49394e5b1f980be8309c1c9dc

Observation 9455d820-76eb-4d57-a063-c9bc37aa954e · outbound

This paper cites Layer-wise linear mode connectivity.

The Butterfly Effect: Neural Network Training Trajectories Are Highly Sensitive to Initial Conditions Layer-wise linear mode connectivity

Reference 2

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation 0d47d3df-3b99-495c-8745-4434ed4d09ad · outbound

This paper cites Git re-basin: Merging models modulo permutation symmetries.

The Butterfly Effect: Neural Network Training Trajectories Are Highly Sensitive to Initial Conditions Git re-basin: Merging models modulo permutation symmetries

Reference 3

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation 33fc3d64-5ff8-4ce7-beb1-416cb4bf9be0 · outbound

This paper cites S., Bachmann, G., Noci, L., and Hofmann, T.

The Butterfly Effect: Neural Network Training Trajectories Are Highly Sensitive to Initial Conditions S., Bachmann, G., Noci, L., and Hofmann, T

Reference 4

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-07T00:43:05.280830Z digest=sha256:346e7581a4f92ffecef24428299a318118f14c1c44f44ee68d2f5b3d9c1bbb74

Observation f07bd3ba-185b-4ae8-a73b-9f5d1d0f2f88 · outbound

This paper cites Layer Normalization.

The Butterfly Effect: Neural Network Training Trajectories Are Highly Sensitive to Initial Conditions Layer Normalization

Reference 5

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source=arxiv_source observed=2026-08-07T00:43:05.358766Z digest=sha256:d0aec1286d1387364ead6f753f2ad92c4528a7a1802a303694adeb6d2154c54a

Observation 2ea6b26c-e97e-4067-b849-f42b9649ae33 · outbound

This paper cites V., Akram, Y., Zucchet, N., Aitchison, L., and Steger, A.

The Butterfly Effect: Neural Network Training Trajectories Are Highly Sensitive to Initial Conditions V., Akram, Y., Zucchet, N., Aitchison, L., and Steger, A

Reference 6

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation f2dd72fa-b764-4325-81f2-c213f5ffdd3b · outbound

This paper cites Shift-Curvature, SGD, and Generalization.

The Butterfly Effect: Neural Network Training Trajectories Are Highly Sensitive to Initial Conditions Shift-Curvature, SGD, and Generalization

Reference 7

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local_arxiv, observed 2026-08-07T00:43:10.802107Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-07T00:43:05.505991Z digest=sha256:706fb05e35cf61179db0aeb5443d5e7e9c9b12cb7fbf2c231542753b753bfa80

Observation d57522d1-d45e-4457-93bc-0d847f0af79f · outbound

This paper cites Training Verifiers to Solve Math Word Problems.

The Butterfly Effect: Neural Network Training Trajectories Are Highly Sensitive to Initial Conditions Training Verifiers to Solve Math Word Problems

Reference 9

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 6deacaab-fc79-46a1-8190-8030d5fbd5e1 · outbound

This paper cites Gradient Descent on Neural Networks Typically Occurs at the Edge of Stability.

The Butterfly Effect: Neural Network Training Trajectories Are Highly Sensitive to Initial Conditions Gradient Descent on Neural Networks Typically Occurs at the Edge of Stability

Reference 10

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source=arxiv_source observed=2026-08-07T00:43:05.706153Z digest=sha256:6924e37cb2785256540461209b0f46634974912af794a37782a352b92319000a

Observation cae1a793-4f5b-45d6-94d1-29bbed05d785 · outbound

This paper cites Why Do We Need Weight Decay in Modern Deep Learning?.

The Butterfly Effect: Neural Network Training Trajectories Are Highly Sensitive to Initial Conditions Why Do We Need Weight Decay in Modern Deep Learning?

Reference 11

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Observation 77d0ed8a-39b4-47e0-8a28-996c0917c820 · outbound

This paper cites BERT : Pre-training of deep bidirectional transformers for language understanding.

The Butterfly Effect: Neural Network Training Trajectories Are Highly Sensitive to Initial Conditions BERT : Pre-training of deep bidirectional transformers for language understanding

Reference 12

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T00:43:05.840133Z digest=sha256:d4fb5916972bdde9f1d65ab1d882861e62c05fb37fc7bd2862eb493e7fff03f0

Observation 97ec0c4d-026f-4e71-959b-c8c5f9192cbd · outbound

This paper cites An image is worth 16x16 words: Transformers for image recognition at scale.

The Butterfly Effect: Neural Network Training Trajectories Are Highly Sensitive to Initial Conditions An image is worth 16x16 words: Transformers for image recognition at scale

Reference 13

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source=arxiv_source observed=2026-08-07T00:43:05.927440Z digest=sha256:2752f0b37a91fad45f780afef320bed733ae87724d513045a289d48be6868f88

Observation 5576d2a3-c04d-4dbd-9544-f334136af34a · outbound

This paper cites Essentially No Barriers in Neural Network Energy Landscape.

The Butterfly Effect: Neural Network Training Trajectories Are Highly Sensitive to Initial Conditions Essentially No Barriers in Neural Network Energy Landscape

Reference 14

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation ecd9b941-8d30-47ff-9d7b-3a26ea28d232 · outbound

This paper cites The role of permutation invariance in linear mode connectivity of neural networks.

The Butterfly Effect: Neural Network Training Trajectories Are Highly Sensitive to Initial Conditions The role of permutation invariance in linear mode connectivity of neural networks

Reference 15

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-07T00:43:06.021737Z digest=sha256:5141489291cbf4aa351e764ec08b47b64530e250ccaee9c164d590690b388385

Observation bc154909-b8b3-4591-841b-f9bde4410cbb · outbound

This paper cites Deep ensembles: A loss landscape perspective, 2019.

The Butterfly Effect: Neural Network Training Trajectories Are Highly Sensitive to Initial Conditions Deep ensembles: A loss landscape perspective, 2019

Reference 16

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-07T00:43:06.109966Z digest=sha256:ade9a42f60aacd8d56d73670b1ddce16ef8f69f1ce65b2074b48005d485bcb67

Observation c1c54ca5-d3e2-48ed-8b50-aaea4eec6b04 · outbound

This paper cites K., Paul, M., Kharaghani, S., Roy, D.

The Butterfly Effect: Neural Network Training Trajectories Are Highly Sensitive to Initial Conditions K., Paul, M., Kharaghani, S., Roy, D

Reference 17

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T00:43:06.167369Z digest=sha256:058bf67b9f0a65c11bb830ab0973d7fd988acfa5202ecd83a8a3ea5580e83615

Observation a2b4c10b-c885-4911-ba48-7379fee3a0ba · outbound

This paper cites and Carbin, M.

The Butterfly Effect: Neural Network Training Trajectories Are Highly Sensitive to Initial Conditions and Carbin, M

Reference 18

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation ea1184bf-b8c5-4632-a068-56b4db380d37 · outbound

This paper cites K., Roy, D., and Carbin, M.

The Butterfly Effect: Neural Network Training Trajectories Are Highly Sensitive to Initial Conditions K., Roy, D., and Carbin, M

Reference 19

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation 2c9a9f62-50f6-4083-9476-8159135a0b5f · outbound

This paper cites J., and Morcos, A.

The Butterfly Effect: Neural Network Training Trajectories Are Highly Sensitive to Initial Conditions J., and Morcos, A

Reference 20

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation 36d495ba-d25d-4641-831e-2804117bc2c3 · outbound

This paper cites P., and Wilson, A.

The Butterfly Effect: Neural Network Training Trajectories Are Highly Sensitive to Initial Conditions P., and Wilson, A

Reference 21

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation bd56b550-3ce3-463a-a077-a0e3fa02fde6 · outbound

This paper cites Qualitatively characterizing neural network optimization problems.

The Butterfly Effect: Neural Network Training Trajectories Are Highly Sensitive to Initial Conditions Qualitatively characterizing neural network optimization problems

Reference 22

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 20f28c73-28f5-4741-a562-6a58337b62a8 · outbound

This paper cites OLMo: Accelerating the Science of Language Models.

The Butterfly Effect: Neural Network Training Trajectories Are Highly Sensitive to Initial Conditions OLMo: Accelerating the Science of Language Models

Reference 23

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Observation 0e32780e-c0f6-4fa8-a367-b5b479cc4613 · outbound

This paper cites Delving deep into rectifiers: Surpassing human-level performance on imagenet classification.

The Butterfly Effect: Neural Network Training Trajectories Are Highly Sensitive to Initial Conditions Delving deep into rectifiers: Surpassing human-level performance on imagenet classification

Reference 24

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-07T00:43:06.603814Z digest=sha256:23edccdc2ca5212a4b9ae170dad5ecf5031bf89ec5e91ea95e423ca6eb7d3dbf

Observation 09cab4be-4db1-47c5-a25a-01b62d84faa9 · outbound

This paper cites Deep residual learning for image recognition.

The Butterfly Effect: Neural Network Training Trajectories Are Highly Sensitive to Initial Conditions Deep residual learning for image recognition

Reference 25

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Observation 25a5439d-49ea-4a25-a5bb-4fcd7389b0e4 · outbound

This paper cites E., and Weinberger, K.

The Butterfly Effect: Neural Network Training Trajectories Are Highly Sensitive to Initial Conditions E., and Weinberger, K

Reference 26

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-07T00:43:06.727623Z digest=sha256:ca85f109870b4cae3e86c64500bd2ce451677faffdb6c04ccd62776e0eb21eaf

Observation 03d99161-8650-45e4-833e-9b88a1bfdf8d · outbound

This paper cites T., Wortsman, M., Schmidt, L., Hajishirzi, H., and Farhadi, A.

The Butterfly Effect: Neural Network Training Trajectories Are Highly Sensitive to Initial Conditions T., Wortsman, M., Schmidt, L., Hajishirzi, H., and Farhadi, A

Reference 27

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raw_fallback, observed 2026-08-07T00:43:13.255279Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation 417228dd-0e58-4cf0-b78c-469f8fdcd366 · outbound

This paper cites Analysis of linear mode connectivity via permutation-based weight matching.

The Butterfly Effect: Neural Network Training Trajectories Are Highly Sensitive to Initial Conditions Analysis of linear mode connectivity via permutation-based weight matching

Reference 28

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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 2026-08-21T06:32:19.484+00:00.

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Observation cabbe003-5788-42ce-9442-0e06f1dc2a04 · outbound

This paper cites Maximal initial learning rates in deep R e LU networks.

The Butterfly Effect: Neural Network Training Trajectories Are Highly Sensitive to Initial Conditions Maximal initial learning rates in deep R e LU networks

Reference 29

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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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-07T00:43:06.886009Z digest=sha256:108506096f318b40a3ddda2f268a4d0c6ab9965c14f925eeef82782ff6462036

Observation 3a9f5bda-6533-471a-80e1-37daab5a6d86 · outbound

This paper cites Averaging weights leads to wider optima and better generalization.

The Butterfly Effect: Neural Network Training Trajectories Are Highly Sensitive to Initial Conditions Averaging weights leads to wider optima and better generalization

Reference 30

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raw_fallback, observed 2026-08-07T00:43:13.219123Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-07T00:43:06.935259Z digest=sha256:89873162cb4998928197298d5528f6e1a4380700c1f3a08e5ce95eeeb8c7eff7

Observation e7dfa132-d921-48d4-9040-ad169610af87 · outbound

This paper cites Neural tangent kernel: Convergence and generalization in neural networks.

The Butterfly Effect: Neural Network Training Trajectories Are Highly Sensitive to Initial Conditions Neural tangent kernel: Convergence and generalization in neural networks

Reference 31

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raw_fallback, observed 2026-08-07T00:43:13.207403Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-07T00:43:06.990533Z digest=sha256:b84f186e25a856d02c713e0fc2e278899a20f46d0225aa92ab2ef94f4241ea19

Observation 91ec5cfe-c0a0-4f4d-a628-93341303a18c · outbound

This paper cites The break-even point on optimization trajectories of deep neural networks.

The Butterfly Effect: Neural Network Training Trajectories Are Highly Sensitive to Initial Conditions The break-even point on optimization trajectories of deep neural networks

Reference 32

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raw_fallback, observed 2026-08-07T00:43:13.194184Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-07T00:43:07.044517Z digest=sha256:e3c741d529554bb67467000b04f275fea1a16128401f9bb1b93f319f71394baa

Observation 5680b034-4ad2-4ca5-a62c-8d22557b3b94 · outbound

This paper cites REPAIR : RE normalizing P ermuted A ctivations for I nterpolation R epair.

The Butterfly Effect: Neural Network Training Trajectories Are Highly Sensitive to Initial Conditions REPAIR : RE normalizing P ermuted A ctivations for I nterpolation R epair

Reference 33

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raw_fallback, observed 2026-08-07T00:43:13.182327Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-07T00:43:07.106594Z digest=sha256:05eae050089649cd84a80a25205a089a82810a5d1d4ed8a219723b054f690eaa

Observation ffe8922c-d01a-4f71-8fc0-17e1916f52f6 · outbound

This paper cites Linear connectivity reveals generalization strategies.

The Butterfly Effect: Neural Network Training Trajectories Are Highly Sensitive to Initial Conditions Linear connectivity reveals generalization strategies

Reference 34

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raw_fallback, observed 2026-08-07T00:43:13.170161Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-07T00:43:07.137331Z digest=sha256:d03d434358543df1e7a2578d0e5db345de8c96ab27dbbf279b9e4f375964c7b1

Observation a222b76a-489c-4bab-8efa-d1d941d2813c · outbound

This paper cites S., Mudigere, D., Nocedal, J., Smelyanskiy, M., and Tang, P.

The Butterfly Effect: Neural Network Training Trajectories Are Highly Sensitive to Initial Conditions S., Mudigere, D., Nocedal, J., Smelyanskiy, M., and Tang, P

Reference 35

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raw_fallback, observed 2026-08-07T00:43:13.155578Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-07T00:43:07.196965Z digest=sha256:fed6c53bf4ff75433f4678f7efff435e820d5e1e27aece90ecd7f2d02202a374

Observation d45fd1e2-f2c3-4175-8297-26281d2fcfa1 · outbound

This paper cites Similarity of neural network representations revisited.

The Butterfly Effect: Neural Network Training Trajectories Are Highly Sensitive to Initial Conditions Similarity of neural network representations revisited

Reference 36

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raw_fallback, observed 2026-08-07T00:43:13.143117Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-07T00:43:07.249879Z digest=sha256:4103c09f24bd40cc8dc7b9fb4c9a2b08ef456d1f95977d5a603f4b3668850d01

Observation 8eac8671-685a-42b2-9939-515ecee88f0d · outbound

This paper cites Learning multiple layers of features from tiny images, 2009.

The Butterfly Effect: Neural Network Training Trajectories Are Highly Sensitive to Initial Conditions Learning multiple layers of features from tiny images, 2009

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T00:43:13.131122Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-07T00:43:07.285654Z digest=sha256:a94654a9db94768f4891c82640d69f249fd1828cb525cd807da3b72871aa16fc

Observation 1e8b9c71-3531-484c-8fe4-eb7c2113075b · outbound

This paper cites D., Kwok, D., Matelsky, J.

The Butterfly Effect: Neural Network Training Trajectories Are Highly Sensitive to Initial Conditions D., Kwok, D., Matelsky, J

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T00:43:13.118603Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-07T00:43:07.341020Z digest=sha256:600c203bda5ea12ec763bda6c861ef16b636271946626bfc5b96b4787834780d

Observation 77247a5f-663b-4c50-9df5-5cdbafd649b1 · outbound

This paper cites Wide neural networks of any depth evolve as linear models under gradient descent.

The Butterfly Effect: Neural Network Training Trajectories Are Highly Sensitive to Initial Conditions Wide neural networks of any depth evolve as linear models under gradient descent

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T00:43:13.106540Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-07T00:43:07.393213Z digest=sha256:9658ebc3a003a5e6fb883da2e89400faf30e0d7adddbd49897ab44c38bfc0a83

Observation e4804cfb-3121-4c0b-8e13-09f1381aeb03 · outbound

This paper cites Exploring Neural Network Landscapes: Star-Shaped and Geodesic Connectivity.

The Butterfly Effect: Neural Network Training Trajectories Are Highly Sensitive to Initial Conditions Exploring Neural Network Landscapes: Star-Shaped and Geodesic Connectivity

Reference 40

Resolution
unresolved
no resolver link, observed 2026-08-07T00:43:07.446769Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T00:43:07.446769Z digest=sha256:1c2c294c2c1f71d5e96aafe6b69b1ce23d6dcf0f64250e1c0c7a57357c8b4a19

Observation 52ca1ad0-e19e-4a3a-ac89-c5e8fbcaf0ae · outbound

This paper cites How good is a single basin? In Proceedings of The 27th International Conference on Artificial Intelligence and Statistics, volume 238, pp.\ 4015--4023.

The Butterfly Effect: Neural Network Training Trajectories Are Highly Sensitive to Initial Conditions How good is a single basin? In Proceedings of The 27th International Conference on Artificial Intelligence and Statistics, volume 238, pp.\ 4015--4023

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T00:43:13.094633Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-07T00:43:07.499300Z digest=sha256:7564c3d0eefa8f7cb5b2a93782cd43498d168bb4cfbd62beabb48b9d9a19d847

Observation ccce7def-b85f-42b9-9545-078673ddb725 · outbound

This paper cites Decoupled Weight Decay Regularization.

The Butterfly Effect: Neural Network Training Trajectories Are Highly Sensitive to Initial Conditions Decoupled Weight Decay Regularization

Reference 42

Resolution
unresolved
no resolver link, observed 2026-08-07T00:43:07.536563Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T00:43:07.536563Z digest=sha256:7588c8b0a2e8290b31eba99c5c64bf61de0b7394a5fdf1137a71f825920b8160

Observation e09601d7-8bf7-4ed0-a19e-22621c0ef130 · outbound

This paper cites S., Bigelow, E.

The Butterfly Effect: Neural Network Training Trajectories Are Highly Sensitive to Initial Conditions S., Bigelow, E

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T00:43:13.081529Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-07T00:43:07.590518Z digest=sha256:657d8243b22628b7395b887e7fbfcf3fc00b3cf4825ef0196eef347c2626892d

Observation d530d861-cfa0-4c6b-8b64-ff174e2c618f · outbound

This paper cites I., Farajtabar, M., Gorur, D., Pascanu, R., and Ghasemzadeh, H.

The Butterfly Effect: Neural Network Training Trajectories Are Highly Sensitive to Initial Conditions I., Farajtabar, M., Gorur, D., Pascanu, R., and Ghasemzadeh, H

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T00:43:13.067325Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-07T00:43:07.643827Z digest=sha256:ec8fce27c2063e868c4a5846a938e7b1f8440e2b86da19d8444b42e0084cdc5c

Observation 5743837a-51b9-4183-b8fc-56d03a1edcd6 · outbound

This paper cites Equivariant deep weight space alignment.

The Butterfly Effect: Neural Network Training Trajectories Are Highly Sensitive to Initial Conditions Equivariant deep weight space alignment

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T00:43:13.049517Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-07T00:43:07.673529Z digest=sha256:2cd480d0cbc0d31a6d2321669498c413f5d2cadf1665102032d175ab74d28942

Observation 74629502-a691-494e-ab26-0172285ff859 · outbound

This paper cites What is being transferred in transfer learning? In Advances in Neural Information Processing Systems, volume 33, pp.\ 512--523, 2020.

The Butterfly Effect: Neural Network Training Trajectories Are Highly Sensitive to Initial Conditions What is being transferred in transfer learning? In Advances in Neural Information Processing Systems, volume 33, pp.\ 512--523, 2020

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T00:43:13.036674Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-07T00:43:07.722230Z digest=sha256:421c34c27a350608c72d93de67988c3568cea1546cbe86dc992ef0db4180a2c4

Observation dc310133-757f-4c46-9bf9-c20e61825e91 · outbound

This paper cites Do wide and deep networks learn the same things? Uncovering how neural network representations vary with width and depth.

The Butterfly Effect: Neural Network Training Trajectories Are Highly Sensitive to Initial Conditions Do wide and deep networks learn the same things? Uncovering how neural network representations vary with width and depth

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T00:43:13.023113Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-07T00:43:07.780227Z digest=sha256:afd2e665d4fe03784220f5e3e8f16cfc002e13573bb0880459306ea6edc76d44

Observation 01cbc6ee-6236-4bb2-82b0-5fe47f372231 · outbound

This paper cites an unresolved cited work.

The Butterfly Effect: Neural Network Training Trajectories Are Highly Sensitive to Initial Conditions Unresolved cited work

Reference 48

Resolution
unresolved
raw_fallback, observed 2026-08-07T00:43:13.009630Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-07T00:43:07.830971Z digest=sha256:d8c8b09a4ab7f4e3c393b01ef2d1debb63c3ef1edaac9339ea540278098450bf

Observation b2a2efc0-63fc-4835-b443-bed057b68b29 · outbound

This paper cites SVCCA : Singular vector canonical correlation analysis for deep learning dynamics and interpretability.

The Butterfly Effect: Neural Network Training Trajectories Are Highly Sensitive to Initial Conditions SVCCA : Singular vector canonical correlation analysis for deep learning dynamics and interpretability

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T00:43:12.995802Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-07T00:43:07.882612Z digest=sha256:0bebfe7d2e5a19a34657169e10fd3164654f0bc604d3da679311b21787e845fe

Observation 1cd3e859-ba27-4f3c-a226-9d4acaccb2e0 · outbound

This paper cites T., Bello-Rivas, J.

The Butterfly Effect: Neural Network Training Trajectories Are Highly Sensitive to Initial Conditions T., Bello-Rivas, J

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T00:43:12.984018Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-07T00:43:07.931699Z digest=sha256:1bf4881abfb31aee92f8894dc15ea164d68c8cca0f0df08cb869a460e345d713

Observation c7eb8cbe-1ba9-467a-8418-e42f50c2d1a2 · outbound

This paper cites C., and Fei-Fei, L.

The Butterfly Effect: Neural Network Training Trajectories Are Highly Sensitive to Initial Conditions C., and Fei-Fei, L

Reference 51

Resolution
unresolved
no resolver link, observed 2026-08-07T00:43:07.968408Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T00:43:07.968408Z digest=sha256:29bccdea69f6441a42d7bb0f7244e5bddb08cdb0ffef4f89169aedc03a1fe03a

Observation 42b97185-5501-4073-a8d4-7fa89fa81198 · outbound

This paper cites P., and Lobacheva, E.

The Butterfly Effect: Neural Network Training Trajectories Are Highly Sensitive to Initial Conditions P., and Lobacheva, E

Reference 52

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T00:43:12.972028Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-07T00:43:08.056120Z digest=sha256:27fa9aef8950fb49278a6493f203a49f078de91ff3334d346065e04e24da6002

Observation 1053087f-ff0e-4a9c-be33-be7f95d33d93 · outbound

This paper cites Random teachers are good teachers.

The Butterfly Effect: Neural Network Training Trajectories Are Highly Sensitive to Initial Conditions Random teachers are good teachers

Reference 53

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T00:43:12.960005Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-07T00:43:08.123496Z digest=sha256:931ec90dc47323445dc98c853df6171e2674021d98d7ddf19af2058b2ef5ebef

Observation 2e255c62-1ab0-4453-a5c7-db42754a467a · outbound

This paper cites The MultiBERTs : BERT reproductions for robustness analysis.

The Butterfly Effect: Neural Network Training Trajectories Are Highly Sensitive to Initial Conditions The MultiBERTs : BERT reproductions for robustness analysis

Reference 54

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T00:43:12.946040Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-07T00:43:08.173484Z digest=sha256:ac474271b5cdefb32be2e2db734d335d9d2e43530e3eac6ccbcfce557b30f18f

Observation 5ed3dca2-8616-4a1b-b413-4c8f48e93571 · outbound

This paper cites M., Rolnick, D., and Dziugaite, G.

The Butterfly Effect: Neural Network Training Trajectories Are Highly Sensitive to Initial Conditions M., Rolnick, D., and Dziugaite, G

Reference 55

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T00:43:12.932301Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-07T00:43:08.254228Z digest=sha256:ab3e5d8448916e27472a7f57618b0dd82f3afbbcd9ef44906f5e3dad98e908a2

Observation a588ae60-8204-425c-95ee-ea988037edef · outbound

This paper cites Geometry of the loss landscape in overparameterized neural networks: Symmetries and invariances.

The Butterfly Effect: Neural Network Training Trajectories Are Highly Sensitive to Initial Conditions Geometry of the loss landscape in overparameterized neural networks: Symmetries and invariances

Reference 56

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T00:43:12.920243Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-07T00:43:08.329096Z digest=sha256:4233bc04ec989c24449212ba5ab9454fec1115389993c755972b3d00ccbdba0c

Observation c654e2c6-6839-425e-a11b-fe6189ad625d · outbound

This paper cites an unresolved cited work.

The Butterfly Effect: Neural Network Training Trajectories Are Highly Sensitive to Initial Conditions Unresolved cited work

Reference 57

Resolution
unresolved
raw_fallback, observed 2026-08-07T00:43:12.887670Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-07T00:43:08.406389Z digest=sha256:d5b57e5e5f2057b8a2e94a755aa458106f45e267d07a19452e109800c23a26ad

Observation 984c3f57-b918-4bca-ad22-68600c4ececd · outbound

This paper cites P., Adilova, L., Kamp, M., Fischer, A., Schölkopf, B., Tübingen, M.-I., Hofmann, T., and Ch, E.

The Butterfly Effect: Neural Network Training Trajectories Are Highly Sensitive to Initial Conditions P., Adilova, L., Kamp, M., Fischer, A., Schölkopf, B., Tübingen, M.-I., Hofmann, T., and Ch, E

Reference 58

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T00:43:12.722674Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-07T00:43:08.452867Z digest=sha256:d456e73213e72539268b630f753ad64b60b8015771ce6263a5dbe6311b1bb4f4

Observation b198fd57-bda2-4a97-9fb8-de7ac37083fe · outbound

This paper cites A disciplined approach to neural network hyper-parameters: Part 1 -- learning rate, batch size, momentum, and weight decay.

The Butterfly Effect: Neural Network Training Trajectories Are Highly Sensitive to Initial Conditions A disciplined approach to neural network hyper-parameters: Part 1 -- learning rate, batch size, momentum, and weight decay

Reference 59

Resolution
unresolved
no resolver link, observed 2026-08-07T00:43:08.528757Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T00:43:08.528757Z digest=sha256:4a1a92323349d2891bd60ea74febc5172022e423bc03c3c25ab43453075c2a5b

Observation 2989b5ac-13d6-4cfa-961f-be28b8d640d5 · outbound

This paper cites an unresolved cited work.

The Butterfly Effect: Neural Network Training Trajectories Are Highly Sensitive to Initial Conditions Unresolved cited work

Reference 60

Resolution
unresolved
raw_fallback, observed 2026-08-07T00:43:12.557066Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-07T00:43:08.591518Z digest=sha256:cc1e4f719e29c46fff9f19b5b0345898cf422e0416ae5c722d2c7b0c1f16ee13

Observation ac025386-8e78-47e3-b420-663ccce4141c · outbound

This paper cites The boundary of neural network trainability is fractal.

The Butterfly Effect: Neural Network Training Trajectories Are Highly Sensitive to Initial Conditions The boundary of neural network trainability is fractal

Reference 61

Resolution
verified exact
local_arxiv, observed 2026-08-07T00:43:10.423646Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-07T00:43:08.680044Z digest=sha256:ff9d42af9233c51afb9d8eea71aa566d0d2d5583af9a76b3f6ebd4def938d4d2

Observation a05d770b-7108-4b4c-9d38-e3205fdff847 · outbound

This paper cites Do Deep Neural Network Solutions Form a Star Domain?.

The Butterfly Effect: Neural Network Training Trajectories Are Highly Sensitive to Initial Conditions Do Deep Neural Network Solutions Form a Star Domain?

Reference 62

Resolution
unresolved
no resolver link, observed 2026-08-07T00:43:08.736723Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T00:43:08.736723Z digest=sha256:4b3323e1b954d8106417f7578d3477459915e21ba1bc919f56f303e31b48fc44

Observation 0e75bfbd-d18c-48e7-901c-3750d973c91e · outbound

This paper cites Overtrained Language Models Are Harder to Fine-Tune.

The Butterfly Effect: Neural Network Training Trajectories Are Highly Sensitive to Initial Conditions Overtrained Language Models Are Harder to Fine-Tune

Reference 63

Resolution
unresolved
no resolver link, observed 2026-08-07T00:43:08.795214Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T00:43:08.795214Z digest=sha256:76c1d74f401708c38683b4fe693a14b22af88fd713fc0a8d500a2dd813dc5977

Observation 73027bf7-1fbd-4c1b-83dd-a81844519b0d · outbound

This paper cites Nonlinear dynamics and chaos: with applications to physics, biology, chemistry, and engineering.

The Butterfly Effect: Neural Network Training Trajectories Are Highly Sensitive to Initial Conditions Nonlinear dynamics and chaos: with applications to physics, biology, chemistry, and engineering

Reference 64

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T00:43:12.412655Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-07T00:43:08.838912Z digest=sha256:d0129ab0b7b657cb933a079fbab2155a529a4fbca15d7aa0637d1a3d4c487c13

Observation e110fd5b-ff1b-4c39-aa9d-0ccabe5f9352 · outbound

This paper cites W., Thiery, A.

The Butterfly Effect: Neural Network Training Trajectories Are Highly Sensitive to Initial Conditions W., Thiery, A

Reference 65

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T00:43:12.261679Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-07T00:43:08.961688Z digest=sha256:629f50bc15f771bbdb58a65979483fa40fcbe9b14bc6c9e48cc10eab5b05e121

Observation f13f49b5-fcd5-4786-a3b2-f6a38ac3d910 · outbound

This paper cites Weight averaging for neural networks and local resampling schemes.

The Butterfly Effect: Neural Network Training Trajectories Are Highly Sensitive to Initial Conditions Weight averaging for neural networks and local resampling schemes

Reference 66

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T00:43:12.171905Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-07T00:43:09.050894Z digest=sha256:750205dd3cc2313472014eeb82f6f3e1cc762ca571743b8944761965827590ab

Observation 8f2e119f-7991-470a-8063-67d83a6802af · outbound

This paper cites an unresolved cited work.

The Butterfly Effect: Neural Network Training Trajectories Are Highly Sensitive to Initial Conditions Unresolved cited work

Reference 67

Resolution
unresolved
raw_fallback, observed 2026-08-07T00:43:11.934338Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-07T00:43:09.108545Z digest=sha256:2e053f82c127cdd5fd5f09522f9a7951b2d655ce02b34f08baffcdf947cb2ed9

Observation 088c81ff-4834-4b17-a765-a5456a330f94 · outbound

This paper cites an unresolved cited work.

The Butterfly Effect: Neural Network Training Trajectories Are Highly Sensitive to Initial Conditions Unresolved cited work

Reference 68

Resolution
unresolved
raw_fallback, observed 2026-08-07T00:43:11.799216Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-07T00:43:09.223821Z digest=sha256:23c778662c77e4f95c3a0b18caaded3927da639dd4b7d52c59cb2e6e340c0739

Observation 76977578-87c1-4165-84a8-62453b27abc3 · outbound

This paper cites Federated learning with matched averaging.

The Butterfly Effect: Neural Network Training Trajectories Are Highly Sensitive to Initial Conditions Federated learning with matched averaging

Reference 69

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T00:43:11.617288Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-07T00:43:09.357279Z digest=sha256:47dcbf8a64a3bb8a7a93c0c7746cf09a0625b46c01066db71012033ebf052b7c

Observation feeb1d3b-582d-4614-aecf-b5d49675d1da · outbound

This paper cites H., Kunz, E., Kornblith, S., and Linderman, S.

The Butterfly Effect: Neural Network Training Trajectories Are Highly Sensitive to Initial Conditions H., Kunz, E., Kornblith, S., and Linderman, S

Reference 70

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T00:43:11.383302Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-07T00:43:09.453626Z digest=sha256:5f84a91f4c26acf6191aeb6e2fa823b669da4d16b6c0822c442ff27f2631594b

Observation 0ec77d66-531f-43b0-be75-bbf4cb18a167 · outbound

This paper cites C., Guestrin, C., Farhadi, A., and Rastegari, M.

The Butterfly Effect: Neural Network Training Trajectories Are Highly Sensitive to Initial Conditions C., Guestrin, C., Farhadi, A., and Rastegari, M

Reference 71

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T00:43:11.210564Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-07T00:43:09.593002Z digest=sha256:753ac84630bbca42b1dee74f6c867a9372c7bca2a70f2e4035c4e3730d5af83d

Observation 4ee66f01-88a7-4531-894f-5f08e7385fb4 · outbound

This paper cites How SGD selects the global minima in over-parameterized learning: A dynamical stability perspective.

The Butterfly Effect: Neural Network Training Trajectories Are Highly Sensitive to Initial Conditions How SGD selects the global minima in over-parameterized learning: A dynamical stability perspective

Reference 72

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source=arxiv_source observed=2026-08-07T00:43:09.706343Z digest=sha256:442dc991ea72d69b4bf58654be1b3f2505f92b690c333cdf7e199affd1f1d7c6

Observation cdefd4ab-d017-4ebd-927d-24a6b0888673 · outbound

This paper cites K., Savarese, P.

The Butterfly Effect: Neural Network Training Trajectories Are Highly Sensitive to Initial Conditions K., Savarese, P

Reference 73

Resolution
verified fuzzy
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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-07T00:43:09.766735Z digest=sha256:c5b3457659572f59f83db6174f3891fcd7c35b8d7ab852ccf79beb1b01014dd8

Observation 59fa170a-956e-4fdd-bfc4-b2f3452479b8 · outbound

This paper cites Going beyond linear mode connectivity: The layerwise linear feature connectivity.

The Butterfly Effect: Neural Network Training Trajectories Are Highly Sensitive to Initial Conditions Going beyond linear mode connectivity: The layerwise linear feature connectivity

Reference 74

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T00:43:10.984370Z

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source=arxiv_source observed=2026-08-07T00:43:09.868839Z digest=sha256:c21a4e6f7d727ace53e32bb45ab8febb34900e23e7ffe1bce749cada4295be8f

Pith citing papers

Observation 5addd247-0f30-4837-865d-ac08e2016a70 · inbound

Scaling Linear Mode Connectivity and Merging to Billion Parameter Pretrained Transformers cites this paper.

Scaling Linear Mode Connectivity and Merging to Billion Parameter Pretrained Transformers The Butterfly Effect: Neural Network Training Trajectories Are Highly Sensitive to Initial Conditions

Reference 10

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verified exact
arxiv_id, observed 2026-07-04T10:39:45.035541Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-06-26T08:39:59.835392Z digest=sha256:b4b6c09b14eb3035113efaf7a34e82afa70d0027a23ac205673bf0e4fc5071bb

Observation fc7d40c4-5438-430d-b000-d6116a2985c9 · inbound

Quasi-Monte Carlo Initialization for Meta-Reinforcement Learning cites this paper.

Quasi-Monte Carlo Initialization for Meta-Reinforcement Learning The Butterfly Effect: Neural Network Training Trajectories Are Highly Sensitive to Initial Conditions

Reference 3

Resolution
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