Paper Citation Record · LEDGER

Beyond Diagonal Covariance: Flexible Posterior VAEs via Free-Form Injective Flows

As of 24 August 2026, this Paper Citation Record lists 27 of 27 outbound references and 1 inbound Pith citation observation for arXiv:2506.01522.

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

pith.paper-citation-record.v1
2506.01522 v1

Coverage vector

measured 27 of 27 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T11:50:11.103791Z

measured 28 of 28 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-23T06:30:58.430688+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-16T00:22:08.180200Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-16T12:16:17.039197Z

Reference resolution

27 of 27 outbound references displayed

verified exact0
verified fuzzy17
unresolved10
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation b131b1fb-fd45-455b-980e-259669c8fa2b · outbound

This paper cites Flows for simultaneous manifold learning and density estimation.

Beyond Diagonal Covariance: Flexible Posterior VAEs via Free-Form Injective Flows Flows for simultaneous manifold learning and density estimation

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-07T11:50:10.068286Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8cec276f-d3ef-45f8-8081-c20ab619bc8e · outbound

This paper cites Rectangular flows for manifold learning.

Beyond Diagonal Covariance: Flexible Posterior VAEs via Free-Form Injective Flows Rectangular flows for manifold learning

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:50:13.456934Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation c1487fed-713b-4511-a1b8-e9a9f0c43bc9 · outbound

This paper cites Guild ai.

Beyond Diagonal Covariance: Flexible Posterior VAEs via Free-Form Injective Flows Guild ai

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:50:13.330125Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation fd2a4989-9eef-414b-920e-eadcba681018 · outbound

This paper cites Inference suboptimality in variational autoencoders.

Beyond Diagonal Covariance: Flexible Posterior VAEs via Free-Form Injective Flows Inference suboptimality in variational autoencoders

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:50:13.225186Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation d3175dda-a14b-4ac5-b265-60f637866884 · outbound

This paper cites Free-form flows: Make any architecture a normalizing flow.

Beyond Diagonal Covariance: Flexible Posterior VAEs via Free-Form Injective Flows Free-form flows: Make any architecture a normalizing flow

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:50:13.082939Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 79da06a9-297c-4837-a8ae-599e78f68f46 · outbound

This paper cites Harris, K.

Beyond Diagonal Covariance: Flexible Posterior VAEs via Free-Form Injective Flows Harris, K

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:50:12.966933Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation be7d683d-dfbd-4628-8d25-5db2b5cbe9f6 · outbound

This paper cites an unresolved cited work.

Beyond Diagonal Covariance: Flexible Posterior VAEs via Free-Form Injective Flows Unresolved cited work

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-07T11:50:10.352805Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation dda6c2dc-8d3f-4fdc-882f-99eadab89e24 · outbound

This paper cites A stochastic estimator of the trace of the influence matrix for Laplacian smoothing splines.

Beyond Diagonal Covariance: Flexible Posterior VAEs via Free-Form Injective Flows A stochastic estimator of the trace of the influence matrix for Laplacian smoothing splines

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:50:12.851839Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 218e1755-0e4f-4310-a7c6-c64ea748240c · outbound

This paper cites Auto-encoding variational Bayes.

Beyond Diagonal Covariance: Flexible Posterior VAEs via Free-Form Injective Flows Auto-encoding variational Bayes

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:50:12.773090Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 0863aedc-89fe-4d65-96cb-d54155e47fe9 · outbound

This paper cites An introduction to variational autoencoders.

Beyond Diagonal Covariance: Flexible Posterior VAEs via Free-Form Injective Flows An introduction to variational autoencoders

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:50:12.595846Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 0b779aa5-b852-45f4-96dc-81464f78565b · outbound

This paper cites Improved variational inference with inverse autoregressive flow.

Beyond Diagonal Covariance: Flexible Posterior VAEs via Free-Form Injective Flows Improved variational inference with inverse autoregressive flow

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-07T11:50:10.527576Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 429500cc-e250-4a42-bb5e-d8ec0d6016ee · outbound

This paper cites Prince, and Marcus A.

Beyond Diagonal Covariance: Flexible Posterior VAEs via Free-Form Injective Flows Prince, and Marcus A

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-07T11:50:10.553621Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ae5f946b-71d2-419a-8ea6-758d7a885f13 · outbound

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

Beyond Diagonal Covariance: Flexible Posterior VAEs via Free-Form Injective Flows Learning multiple layers of features from tiny images

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:50:12.492069Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 7a5397e2-1413-44a8-821c-05bebc238824 · outbound

This paper cites Gradient-based learning applied to document recognition.

Beyond Diagonal Covariance: Flexible Posterior VAEs via Free-Form Injective Flows Gradient-based learning applied to document recognition

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:50:12.317258Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation a6d99eb2-328e-43dd-82b8-3d6718658334 · outbound

This paper cites an unresolved cited work.

Beyond Diagonal Covariance: Flexible Posterior VAEs via Free-Form Injective Flows Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-07T11:50:12.159983Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation b1018007-c294-4f4a-8459-769ddcfc6138 · outbound

This paper cites Biva: A very deep hierarchy of latent variables for generative modeling.

Beyond Diagonal Covariance: Flexible Posterior VAEs via Free-Form Injective Flows Biva: A very deep hierarchy of latent variables for generative modeling

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-07T11:50:10.693700Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 615d64bd-b64d-44e5-aefe-a29d990cf78b · outbound

This paper cites Normalizing flows for probabilistic modeling and inference.

Beyond Diagonal Covariance: Flexible Posterior VAEs via Free-Form Injective Flows Normalizing flows for probabilistic modeling and inference

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-07T11:50:10.714815Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 31167b57-a1bb-4568-be74-79a933cc7263 · outbound

This paper cites Variational Laplace autoencoders.

Beyond Diagonal Covariance: Flexible Posterior VAEs via Free-Form Injective Flows Variational Laplace autoencoders

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:50:11.944931Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 0c99fb69-fd98-4903-b7dc-0df2e8b22eaa · outbound

This paper cites Pytorch: An imperative style, high-performance deep learning library.

Beyond Diagonal Covariance: Flexible Posterior VAEs via Free-Form Injective Flows Pytorch: An imperative style, high-performance deep learning library

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:50:11.834309Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 7938a27d-9a5e-413f-a02a-9fe7e2676ff8 · outbound

This paper cites Variational inference with normalizing flows.

Beyond Diagonal Covariance: Flexible Posterior VAEs via Free-Form Injective Flows Variational inference with normalizing flows

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-07T11:50:10.796689Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7f9f5996-ea53-4756-bbfc-4977bccc1e34 · outbound

This paper cites Stochastic backpropagation and approximate inference in deep generative models.

Beyond Diagonal Covariance: Flexible Posterior VAEs via Free-Form Injective Flows Stochastic backpropagation and approximate inference in deep generative models

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-07T11:50:10.815797Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9a63291c-c2af-4f23-95a7-f4607bdb912a · outbound

This paper cites Simple and effective vae training with calibrated decoders.

Beyond Diagonal Covariance: Flexible Posterior VAEs via Free-Form Injective Flows Simple and effective vae training with calibrated decoders

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:50:11.672110Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 837599e8-b82f-4a1b-8977-9dd45f51a12e · outbound

This paper cites Exact solutions to the nonlinear dynamics of learning in deep linear neural networks.

Beyond Diagonal Covariance: Flexible Posterior VAEs via Free-Form Injective Flows Exact solutions to the nonlinear dynamics of learning in deep linear neural networks

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:50:11.569916Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 8c921929-a248-452b-9224-32b4a2d2e276 · outbound

This paper cites Ladder Variational Autoencoders.

Beyond Diagonal Covariance: Flexible Posterior VAEs via Free-Form Injective Flows Ladder Variational Autoencoders

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:50:11.478517Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation b8f1521e-e7db-41fa-8f8c-7738873267a9 · outbound

This paper cites Lifting architectural constraints of injective flows.

Beyond Diagonal Covariance: Flexible Posterior VAEs via Free-Form Injective Flows Lifting architectural constraints of injective flows

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:50:11.411201Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 2234c615-312a-469e-bc15-9a2195d79dfc · outbound

This paper cites VAE with a VampPrior.

Beyond Diagonal Covariance: Flexible Posterior VAEs via Free-Form Injective Flows VAE with a VampPrior

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:50:11.292485Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 54d3ebac-3b29-4cfe-a0ca-08d6b2cb4afb · outbound

This paper cites Improving Variational Auto-Encoders using Householder Flow.

Beyond Diagonal Covariance: Flexible Posterior VAEs via Free-Form Injective Flows Improving Variational Auto-Encoders using Householder Flow

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-07T11:50:11.103791Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation cebb6171-6761-4abf-8c94-48692dd7b304 · inbound

NAE: Normalizing AutoEncoder cites this paper.

NAE: Normalizing AutoEncoder Beyond Diagonal Covariance: Flexible Posterior VAEs via Free-Form Injective Flows

Reference 239

Resolution: verified exact; local_arxiv, observed 2026-08-16T00:22:09.239954Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.