Paper Citation Record · LEDGER

Training-Time Batch Normalization Reshapes Local Partition Geometry in Piecewise-Affine Networks

As of 13 August 2026, this Paper Citation Record lists 52 of 52 outbound references and 1 inbound Pith citation observation for arXiv:2605.04946.

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

pith.paper-citation-record.v1
2605.04946 v2

Coverage vector

measured 52 of 52 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-13T06:53:02.003860Z

measured 53 of 53 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-06-26T14:30:52.935073Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-07-04T06:29:36.829347Z

Reference resolution

52 of 52 outbound references displayed

verified exact2
verified fuzzy45
unresolved5
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation a2fb54b8-eed5-409d-9dd2-81ab8256fc28 · outbound

This paper cites Batch normalization: Accelerating deep network training by reducing internal covariate shift.

Training-Time Batch Normalization Reshapes Local Partition Geometry in Piecewise-Affine Networks Batch normalization: Accelerating deep network training by reducing internal covariate shift

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-05-13T09:02:32.911150Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 833d9a89-37e8-4aab-aeb4-75001f5b67da · outbound

This paper cites Weight normalization: A simple reparameterization to accelerate training of deep neural networks.

Training-Time Batch Normalization Reshapes Local Partition Geometry in Piecewise-Affine Networks Weight normalization: A simple reparameterization to accelerate training of deep neural networks

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-05-13T09:02:32.915799Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 0b3a46eb-2774-4a6d-964e-cb389bf52ad0 · outbound

This paper cites and Selman, Bart and Weinberger, Kilian Q.

Training-Time Batch Normalization Reshapes Local Partition Geometry in Piecewise-Affine Networks and Selman, Bart and Weinberger, Kilian Q

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-05-13T09:02:32.926901Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation c20ebff1-3771-4de0-be13-55a78f5abcdd · outbound

This paper cites How does batch normalization help optimization?.

Training-Time Batch Normalization Reshapes Local Partition Geometry in Piecewise-Affine Networks How does batch normalization help optimization?

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-05-13T09:02:32.913643Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 4781c4a6-1acc-4471-b850-afefca4cc2f3 · outbound

This paper cites Deep ReLU networks have surprisingly few activation patterns.

Training-Time Batch Normalization Reshapes Local Partition Geometry in Piecewise-Affine Networks Deep ReLU networks have surprisingly few activation patterns

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-05-13T09:02:32.918015Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 1647d5d5-a8d6-4420-9a55-3730650d579d · outbound

This paper cites Complexity of linear regions in deep networks.

Training-Time Batch Normalization Reshapes Local Partition Geometry in Piecewise-Affine Networks Complexity of linear regions in deep networks

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-05-13T09:02:32.922282Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation ac3b72f8-3a47-4cb4-a7ee-0e28127bf64d · outbound

This paper cites The geometry of deep networks: Power diagram subdivision.

Training-Time Batch Normalization Reshapes Local Partition Geometry in Piecewise-Affine Networks The geometry of deep networks: Power diagram subdivision

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-05-13T09:02:32.920260Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation f1ff37ac-10e9-43e3-a401-d1a338311e6c · outbound

This paper cites Deep residual learning for image recognition.

Training-Time Batch Normalization Reshapes Local Partition Geometry in Piecewise-Affine Networks Deep residual learning for image recognition

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-05-13T09:02:32.924851Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 745c3fbd-9731-436b-908b-c87354b8b73b · outbound

This paper cites Densely connected convolutional networks.

Training-Time Batch Normalization Reshapes Local Partition Geometry in Piecewise-Affine Networks Densely connected convolutional networks

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-05-13T09:02:32.831502Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation f683b7b4-ffd2-4330-979c-a24518ce1fa6 · outbound

This paper cites Faster R-CNN: Towards Real-Time Object Detection with Region Proposal Networks.

Training-Time Batch Normalization Reshapes Local Partition Geometry in Piecewise-Affine Networks Faster R-CNN: Towards Real-Time Object Detection with Region Proposal Networks

Reference 10

Resolution: verified exact; arxiv_id, observed 2026-05-13T06:57:27.207639Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 53df00b2-8ab6-4aa0-93bd-8378ad81fbe0 · outbound

This paper cites ChannelNets: Compact and efficient convolutional neural networks via channel-wise convolutions.

Training-Time Batch Normalization Reshapes Local Partition Geometry in Piecewise-Affine Networks ChannelNets: Compact and efficient convolutional neural networks via channel-wise convolutions

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-05-13T09:02:32.875108Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation b3e34218-b7ac-4c98-9607-d45a6b01c658 · outbound

This paper cites Scaled- YOLOv4 : Scaling cross stage partial network.

Training-Time Batch Normalization Reshapes Local Partition Geometry in Piecewise-Affine Networks Scaled- YOLOv4 : Scaling cross stage partial network

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-05-13T09:02:32.839521Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 73940162-7e70-436f-851b-92aee165faf0 · outbound

This paper cites GhostNets on heterogeneous devices via cheap operations.

Training-Time Batch Normalization Reshapes Local Partition Geometry in Piecewise-Affine Networks GhostNets on heterogeneous devices via cheap operations

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-05-13T09:02:32.861209Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation d2021f2e-56fe-4fcb-bf31-1dda4e01aa02 · outbound

This paper cites On the expected complexity of maxout networks.

Training-Time Batch Normalization Reshapes Local Partition Geometry in Piecewise-Affine Networks On the expected complexity of maxout networks

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-05-13T09:02:32.849491Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 18c06116-98da-415f-95f8-624c2113e603 · outbound

This paper cites Polyhedral complex extraction from R e LU networks using edge subdivision.

Training-Time Batch Normalization Reshapes Local Partition Geometry in Piecewise-Affine Networks Polyhedral complex extraction from R e LU networks using edge subdivision

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-05-13T09:02:32.857380Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 61ade62d-2733-4fc1-b5dc-7c4f8776baf7 · outbound

This paper cites On the number of regions of piecewise linear neural networks.

Training-Time Batch Normalization Reshapes Local Partition Geometry in Piecewise-Affine Networks On the number of regions of piecewise linear neural networks

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-05-13T09:02:32.906368Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 0d84a5b9-29bf-41c4-b18c-c939334eabcc · outbound

This paper cites Lower and upper bounds for numbers of linear regions of graph convolutional networks.

Training-Time Batch Normalization Reshapes Local Partition Geometry in Piecewise-Affine Networks Lower and upper bounds for numbers of linear regions of graph convolutional networks

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-05-13T09:02:32.894589Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 80512b7a-e216-4789-a8bd-8590f20d2f93 · outbound

This paper cites Sharp bounds for the number of regions of maxout networks and vertices of M inkowski sums.

Training-Time Batch Normalization Reshapes Local Partition Geometry in Piecewise-Affine Networks Sharp bounds for the number of regions of maxout networks and vertices of M inkowski sums

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-05-13T09:02:32.863653Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 25d66f4e-7dc6-4e1d-9b5f-19e6f7d7492f · outbound

This paper cites Estimation and comparison of linear regions for R e LU networks.

Training-Time Batch Normalization Reshapes Local Partition Geometry in Piecewise-Affine Networks Estimation and comparison of linear regions for R e LU networks

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-05-13T09:02:32.873012Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 0da53b4a-31cb-409d-9563-2f03413a5485 · outbound

This paper cites On the number of linear regions of convolutional neural networks.

Training-Time Batch Normalization Reshapes Local Partition Geometry in Piecewise-Affine Networks On the number of linear regions of convolutional neural networks

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-05-13T09:02:32.892077Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation c7bf7fec-c4e3-4fbe-b4b5-ae64de26c922 · outbound

This paper cites 2022 , doi =.

Training-Time Batch Normalization Reshapes Local Partition Geometry in Piecewise-Affine Networks 2022 , doi =

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-05-13T09:02:32.833468Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 6bf6fcde-2a07-4d93-9ab3-3aadbf30d3b9 · outbound

This paper cites Using activation histograms to bound the number of affine regions in R e LU feed-forward neural networks.

Training-Time Batch Normalization Reshapes Local Partition Geometry in Piecewise-Affine Networks Using activation histograms to bound the number of affine regions in R e LU feed-forward neural networks

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-05-13T09:02:32.889435Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 0bc6e56f-ebc9-44ae-9e3b-073cbfb70f16 · outbound

This paper cites Understanding deep neural networks with rectified linear units.

Training-Time Batch Normalization Reshapes Local Partition Geometry in Piecewise-Affine Networks Understanding deep neural networks with rectified linear units

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-05-13T09:02:32.899837Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation dda6b97b-8a81-462f-b4df-204f36d1b47e · outbound

This paper cites Splinecam: Exact visualization and characterization of deep network geometry and decision boundaries.

Training-Time Batch Normalization Reshapes Local Partition Geometry in Piecewise-Affine Networks Splinecam: Exact visualization and characterization of deep network geometry and decision boundaries

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-05-13T09:02:32.824761Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 80baa89b-41a1-4091-90cb-6d5ac2da4502 · outbound

This paper cites Deep sparse rectifier neural networks.

Training-Time Batch Normalization Reshapes Local Partition Geometry in Piecewise-Affine Networks Deep sparse rectifier neural networks

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-05-13T09:02:32.902020Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 3d174fc6-e145-43c7-8172-1e2b16a778e3 · outbound

This paper cites Rectified linear units improve restricted B oltzmann machines.

Training-Time Batch Normalization Reshapes Local Partition Geometry in Piecewise-Affine Networks Rectified linear units improve restricted B oltzmann machines

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-05-13T09:02:32.837509Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 9316880e-a87c-403e-9a27-49b5e2f8a39a · outbound

This paper cites Exponential convergence rates for batch normalization: The power of length-direction decoupling in non-convex optimization.

Training-Time Batch Normalization Reshapes Local Partition Geometry in Piecewise-Affine Networks Exponential convergence rates for batch normalization: The power of length-direction decoupling in non-convex optimization

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-05-13T09:02:32.847575Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation b52dc67c-46ec-4001-b9b5-faed3cafc741 · outbound

This paper cites A mean field theory of batch normalization.

Training-Time Batch Normalization Reshapes Local Partition Geometry in Piecewise-Affine Networks A mean field theory of batch normalization

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-05-13T09:02:32.843678Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation b38c1149-11ad-4279-989a-402c80cc7027 · outbound

This paper cites Empirical studies on the properties of linear regions in deep neural networks.

Training-Time Batch Normalization Reshapes Local Partition Geometry in Piecewise-Affine Networks Empirical studies on the properties of linear regions in deep neural networks

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-05-13T09:02:32.841444Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 8cf5cad3-115b-4efd-afb4-75d3739a23cd · outbound

This paper cites Batch normalization explained.

Training-Time Batch Normalization Reshapes Local Partition Geometry in Piecewise-Affine Networks Batch normalization explained

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-05-13T09:02:32.835477Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 861c6406-8304-430a-bc60-09a27f095597 · outbound

This paper cites Facing up to arrangements: Face-count formulas for partitions of space by hyperplanes.

Training-Time Batch Normalization Reshapes Local Partition Geometry in Piecewise-Affine Networks Facing up to arrangements: Face-count formulas for partitions of space by hyperplanes

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-05-13T09:02:32.851310Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 20d07d30-a93a-4e75-aab3-3f479340229d · outbound

This paper cites and others.

Training-Time Batch Normalization Reshapes Local Partition Geometry in Piecewise-Affine Networks and others

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-05-13T09:02:32.859287Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation bcb287b4-67ae-4bac-be82-dea92df1d3a0 · outbound

This paper cites and Pascanu, Razvan and Cho, Kyunghyun and Bengio, Yoshua.

Training-Time Batch Normalization Reshapes Local Partition Geometry in Piecewise-Affine Networks and Pascanu, Razvan and Cho, Kyunghyun and Bengio, Yoshua

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-05-13T09:02:32.853302Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 5fe1b6cd-6f9f-42bc-80f9-5e4733d09054 · outbound

This paper cites an unresolved cited work.

Training-Time Batch Normalization Reshapes Local Partition Geometry in Piecewise-Affine Networks Unresolved cited work

Reference 34

Resolution: unresolved; raw_fallback, observed 2026-05-13T09:02:32.827031Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 5e51928a-ec5d-4911-a874-6c1c7e2ef887 · outbound

This paper cites an unresolved cited work.

Training-Time Batch Normalization Reshapes Local Partition Geometry in Piecewise-Affine Networks Unresolved cited work

Reference 35

Resolution: unresolved; raw_fallback, observed 2026-05-13T09:02:32.877122Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation e6ee7fda-0c36-454b-a1e9-a3ab64e35e52 · outbound

This paper cites 2025 , doi =.

Training-Time Batch Normalization Reshapes Local Partition Geometry in Piecewise-Affine Networks 2025 , doi =

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-05-13T09:02:32.855461Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation c631a6af-a43b-4aec-82bd-c864ed794216 · outbound

This paper cites Baraniuk , title =.

Training-Time Batch Normalization Reshapes Local Partition Geometry in Piecewise-Affine Networks Baraniuk , title =

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-05-13T09:02:32.904124Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation ba306b13-ad72-45fc-98a5-e075e3333255 · outbound

This paper cites Jeong and David Rolnick , title =.

Training-Time Batch Normalization Reshapes Local Partition Geometry in Piecewise-Affine Networks Jeong and David Rolnick , title =

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-05-13T09:02:32.897220Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation a0ed46ad-9623-4bfa-8cbf-2d3f622b9b63 · outbound

This paper cites Laine , title =.

Training-Time Batch Normalization Reshapes Local Partition Geometry in Piecewise-Affine Networks Laine , title =

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-05-13T09:02:32.908522Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation ad45a536-d995-4a34-9322-fb792446ae28 · outbound

This paper cites Advances in Neural Information Processing Systems , volume =.

Training-Time Batch Normalization Reshapes Local Partition Geometry in Piecewise-Affine Networks Advances in Neural Information Processing Systems , volume =

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-05-13T09:02:32.884392Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 8448f32a-4ccd-4c5f-8315-2f1c9f3e1567 · outbound

This paper cites an unresolved cited work.

Training-Time Batch Normalization Reshapes Local Partition Geometry in Piecewise-Affine Networks Unresolved cited work

Reference 41

Resolution: unresolved; raw_fallback, observed 2026-05-13T09:02:32.822589Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation d1d99801-52d9-4f6a-b49c-a001ac2d4e52 · outbound

This paper cites Bartlett , title =.

Training-Time Batch Normalization Reshapes Local Partition Geometry in Piecewise-Affine Networks Bartlett , title =

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-05-13T09:02:32.881488Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 697de0a0-35d1-4ff8-9e58-e37f45c38232 · outbound

This paper cites Journal of Computational Mathematics , volume =.

Training-Time Batch Normalization Reshapes Local Partition Geometry in Piecewise-Affine Networks Journal of Computational Mathematics , volume =

Reference 43

Resolution: verified fuzzy; raw_fallback, observed 2026-05-13T09:02:32.879106Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation c2ba2bba-82b2-4808-a198-96b341ed2041 · outbound

This paper cites 2023 , doi =.

Training-Time Batch Normalization Reshapes Local Partition Geometry in Piecewise-Affine Networks 2023 , doi =

Reference 44

Resolution: verified fuzzy; raw_fallback, observed 2026-05-13T09:02:32.870944Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation ceb1f256-b78b-4787-aa9e-249b81233333 · outbound

This paper cites Rao , title =.

Training-Time Batch Normalization Reshapes Local Partition Geometry in Piecewise-Affine Networks Rao , title =

Reference 45

Resolution: verified fuzzy; raw_fallback, observed 2026-05-13T09:02:32.820411Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation f7208436-d60a-4495-8baa-b45adc8f29b3 · outbound

This paper cites an unresolved cited work.

Training-Time Batch Normalization Reshapes Local Partition Geometry in Piecewise-Affine Networks Unresolved cited work

Reference 46

Resolution: unresolved; raw_fallback, observed 2026-05-13T09:02:32.845515Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 161af879-224e-46af-88f7-eaa3063b4635 · outbound

This paper cites Advances in Neural Information Processing Systems , year=.

Training-Time Batch Normalization Reshapes Local Partition Geometry in Piecewise-Affine Networks Advances in Neural Information Processing Systems , year=

Reference 47

Resolution: verified fuzzy; raw_fallback, observed 2026-05-13T09:02:32.886924Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 4e072c0f-9238-4177-988e-386be4611a2a · outbound

This paper cites an unresolved cited work.

Training-Time Batch Normalization Reshapes Local Partition Geometry in Piecewise-Affine Networks Unresolved cited work

Reference 48

Resolution: unresolved; raw_fallback, observed 2026-05-13T09:02:32.829162Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 302082f9-fcea-46fe-9489-326a71e0d501 · outbound

This paper cites 2007 , publisher=.

Training-Time Batch Normalization Reshapes Local Partition Geometry in Piecewise-Affine Networks 2007 , publisher=

Reference 49

Resolution: verified fuzzy; raw_fallback, observed 2026-05-13T09:02:32.865507Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 304c1deb-5c70-412e-822f-2e05a663dacd · outbound

This paper cites International Conference on Neural Information Processing , pages=.

Training-Time Batch Normalization Reshapes Local Partition Geometry in Piecewise-Affine Networks International Conference on Neural Information Processing , pages=

Reference 50

Resolution: verified fuzzy; raw_fallback, observed 2026-05-13T09:02:32.867222Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 8393980d-0030-448a-81ef-6eb4ea797a80 · outbound

This paper cites International Conference on Artificial Neural Networks , pages=.

Training-Time Batch Normalization Reshapes Local Partition Geometry in Piecewise-Affine Networks International Conference on Artificial Neural Networks , pages=

Reference 51

Resolution: verified fuzzy; raw_fallback, observed 2026-05-13T09:02:32.869128Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 9c285b29-518d-4ded-af30-2cbc87b31531 · outbound

This paper cites The Evolution of the Interplay Between Input Distributions and Linear Regions in Networks.

Training-Time Batch Normalization Reshapes Local Partition Geometry in Piecewise-Affine Networks The Evolution of the Interplay Between Input Distributions and Linear Regions in Networks

Reference 52

Resolution: verified exact; arxiv_id, observed 2026-05-13T06:57:28.356981Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Pith citing papers

Observation 5647a086-6395-4794-bc9e-a89a424808df · inbound

Expressivity Saturation: Reduced Affine Region Usage Under Increasing Task Complexity cites this paper.

Expressivity Saturation: Reduced Affine Region Usage Under Increasing Task Complexity Training-Time Batch Normalization Reshapes Local Partition Geometry in Piecewise-Affine Networks

Reference 11

Resolution: verified exact; local_arxiv, observed 2026-07-04T06:29:36.831200Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.