Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-05-16T15:47:39.863456Z
Paper Citation Record · LEDGER
Rate-distortion Theory with Lower Semi-continuous Distortion on Noncompact Alphabets
As of 22 August 2026, this Paper Citation Record lists 41 of 41 outbound references and 0 inbound Pith citation observations for arXiv:2601.07246.
A citation records a reference. It does not transfer a finding from one paper to another.
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Pith citing papers itemized under the disclosed page cap.
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Source: cited_works
Reference resolution
41 of 41 outbound references displayed
- verified exact1
- verified fuzzy35
- unresolved5
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 50c69569-021a-46e9-8a0b-4e225d7cf350 · outbound
This paper cites A mathematical theory of communication.
Rate-distortion Theory with Lower Semi-continuous Distortion on Noncompact Alphabets A mathematical theory of communication
Reference 1
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- verified fuzzy
- raw_fallback, observed 2026-05-16T15:48:04.030668Z
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.
Observation a923bff4-a557-455c-8e6c-a087ee3e305d · outbound
This paper cites Coding theorems for a discrete source with a fidelity criterion.
Rate-distortion Theory with Lower Semi-continuous Distortion on Noncompact Alphabets Coding theorems for a discrete source with a fidelity criterion
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-16T15:48:04.000410Z
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.
Observation 07df8aec-174e-451b-985b-a69ec1c4bc6f · outbound
This paper cites Berger,Rate-Distortion Theory: A Mathematical Basis for Data Compression.
Rate-distortion Theory with Lower Semi-continuous Distortion on Noncompact Alphabets Berger,Rate-Distortion Theory: A Mathematical Basis for Data Compression
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-16T15:48:03.981025Z
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.
Observation 2e2f188b-142b-4cbb-89b1-4888a5c63918 · outbound
This paper cites Computation of channel capacity and rate-distortion func- tions.
Rate-distortion Theory with Lower Semi-continuous Distortion on Noncompact Alphabets Computation of channel capacity and rate-distortion func- tions
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-16T15:48:03.986167Z
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.
Observation 6880e4f4-f565-496d-945e-35ca0639ed8e · outbound
This paper cites an unresolved cited work.
Rate-distortion Theory with Lower Semi-continuous Distortion on Noncompact Alphabets Unresolved cited work
Reference 5
- Resolution
- unresolved
- raw_fallback, observed 2026-05-16T15:48:04.023946Z
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.
Observation b29caadc-3dba-42a3-80e9-75ea95f8d4d1 · outbound
This paper cites an unresolved cited work.
Rate-distortion Theory with Lower Semi-continuous Distortion on Noncompact Alphabets Unresolved cited work
Reference 6
- Resolution
- unresolved
- raw_fallback, observed 2026-05-16T15:48:03.971804Z
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.
Observation 6a7b55dc-e0e6-46c0-b425-94d0648dc924 · outbound
This paper cites On an extremum problem of information theory.
Rate-distortion Theory with Lower Semi-continuous Distortion on Noncompact Alphabets On an extremum problem of information theory
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-16T15:48:03.988713Z
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.
Observation c7d8eb6b-d837-434e-8394-c0d1bedf1e96 · outbound
This paper cites An algorithm for computing the capacity of arbitrary discrete memoryless channels.
Rate-distortion Theory with Lower Semi-continuous Distortion on Noncompact Alphabets An algorithm for computing the capacity of arbitrary discrete memoryless channels
Reference 8
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- verified fuzzy
- raw_fallback, observed 2026-05-16T15:48:04.035874Z
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.
Observation 514022c9-3b56-4310-8786-8bd52f271cb0 · outbound
This paper cites Rate-distortion theory for general sets and measures.
Rate-distortion Theory with Lower Semi-continuous Distortion on Noncompact Alphabets Rate-distortion theory for general sets and measures
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-16T15:48:03.974340Z
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.
Observation a43625a0-ead3-4d7b-b3a0-bd60aa89c65a · outbound
This paper cites Lossy compression of general random variables.
Rate-distortion Theory with Lower Semi-continuous Distortion on Noncompact Alphabets Lossy compression of general random variables
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-16T15:48:04.021937Z
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.
Observation 8d846b25-073e-4ad7-9694-1afabc732dcb · outbound
This paper cites The rate-distortion dimension of sets and measures.
Rate-distortion Theory with Lower Semi-continuous Distortion on Noncompact Alphabets The rate-distortion dimension of sets and measures
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-16T15:48:04.015643Z
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.
Observation 13445a72-ebd0-43aa-83d9-7d9687554cb0 · outbound
This paper cites Successive refinement of abstract sources.
Rate-distortion Theory with Lower Semi-continuous Distortion on Noncompact Alphabets Successive refinement of abstract sources
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-16T15:48:03.955509Z
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.
Observation 9707760f-f532-44a7-8952-24161fbc8c2d · outbound
This paper cites Asymptotic evaluation of certain Markov process expectations for large time, I.
Rate-distortion Theory with Lower Semi-continuous Distortion on Noncompact Alphabets Asymptotic evaluation of certain Markov process expectations for large time, I
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-16T15:48:03.990813Z
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.
Observation 768efd59-35bd-4fdf-9c89-877bb040277f · outbound
This paper cites Successive refinement of information.
Rate-distortion Theory with Lower Semi-continuous Distortion on Noncompact Alphabets Successive refinement of information
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-16T15:48:03.976461Z
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.
Observation 7c43655b-3c07-4a1b-a9a7-d9a1a6659879 · outbound
This paper cites Kantorovich duality for general transport costs and applications.
Rate-distortion Theory with Lower Semi-continuous Distortion on Noncompact Alphabets Kantorovich duality for general transport costs and applications
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-16T15:48:03.950064Z
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.
Observation abc4ae4a-396f-4efb-9188-b480244b5134 · outbound
This paper cites A Revisit to Rate-distortion Theory via Optimal Weak Transport.
Rate-distortion Theory with Lower Semi-continuous Distortion on Noncompact Alphabets A Revisit to Rate-distortion Theory via Optimal Weak Transport
Reference 16
- Resolution
- verified exact
- arxiv_id, observed 2026-05-16T15:48:03.795657Z
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.
Observation 0c0b641a-c15c-403b-aacb-5571327af41f · outbound
This paper cites Rate distortion theory for general sources with potential application to image compression.
Rate-distortion Theory with Lower Semi-continuous Distortion on Noncompact Alphabets Rate distortion theory for general sources with potential application to image compression
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-16T15:48:04.028090Z
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.
Observation 5d124d86-8242-40c1-b7a9-66c1dd3b57a8 · outbound
This paper cites Polyanskiy and Y.
Rate-distortion Theory with Lower Semi-continuous Distortion on Noncompact Alphabets Polyanskiy and Y
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-16T15:48:03.947670Z
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.
Observation b9e1fadc-b493-4116-a328-d1ae465ddf4b · outbound
This paper cites The concentration-compactness principle in the calculus of variations. The locally compact case, part 1.
Rate-distortion Theory with Lower Semi-continuous Distortion on Noncompact Alphabets The concentration-compactness principle in the calculus of variations. The locally compact case, part 1
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-16T15:48:03.993325Z
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.
Observation a09d5265-5fad-4c8f-bad7-da33be6a79b6 · outbound
This paper cites The concentration-compactness principle in the calculus of variations. The locally compact case, part 2.
Rate-distortion Theory with Lower Semi-continuous Distortion on Noncompact Alphabets The concentration-compactness principle in the calculus of variations. The locally compact case, part 2
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-16T15:48:03.983770Z
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.
Observation 81a18c43-6d0b-4afd-ace1-a376c237ab3d · outbound
This paper cites The concentration-compactness principle in the calculus of variations. The limit case, part 1.
Rate-distortion Theory with Lower Semi-continuous Distortion on Noncompact Alphabets The concentration-compactness principle in the calculus of variations. The limit case, part 1
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-16T15:48:03.998251Z
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.
Observation 002a3f06-cf45-4c13-9007-1d25ecb19f84 · outbound
This paper cites The concentration-compactness principle in the calculus of variations. The limit case, part 2.
Rate-distortion Theory with Lower Semi-continuous Distortion on Noncompact Alphabets The concentration-compactness principle in the calculus of variations. The limit case, part 2
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-16T15:48:03.966783Z
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.
Observation a3dd529f-e1e6-4d9d-8a66-299e7bc7c67f · outbound
This paper cites an unresolved cited work.
Rate-distortion Theory with Lower Semi-continuous Distortion on Noncompact Alphabets Unresolved cited work
Reference 23
- Resolution
- unresolved
- raw_fallback, observed 2026-05-16T15:48:04.025974Z
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.
Observation 7ca79a1d-e40e-4ddf-9c6a-7e2065d39b96 · outbound
This paper cites De-noising by soft-thresholding.
Rate-distortion Theory with Lower Semi-continuous Distortion on Noncompact Alphabets De-noising by soft-thresholding
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-16T15:48:03.945156Z
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.
Observation 120d0413-17b4-4be6-8ce7-0c11df57fc26 · outbound
This paper cites Discontinuous piecewise linear optimiza- tion.
Rate-distortion Theory with Lower Semi-continuous Distortion on Noncompact Alphabets Discontinuous piecewise linear optimiza- tion
Reference 25
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-16T15:48:04.004683Z
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.
Observation ff77ed6d-c5fb-4f8f-a661-61257bf7a26b · outbound
This paper cites Discontinuous optimization.
Rate-distortion Theory with Lower Semi-continuous Distortion on Noncompact Alphabets Discontinuous optimization
Reference 26
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-16T15:48:04.017720Z
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.
Observation c07407f3-955a-4316-88ee-08a74c8ab6f2 · outbound
This paper cites Discontinuous optimization in batch production using sumt.
Rate-distortion Theory with Lower Semi-continuous Distortion on Noncompact Alphabets Discontinuous optimization in batch production using sumt
Reference 27
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-16T15:48:03.995593Z
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.
Observation 196b4dfa-8a98-4a43-b0f2-234bfbe47ade · outbound
This paper cites A simplex algorithm for piecewise-linear programming i: Derivation and proof.
Rate-distortion Theory with Lower Semi-continuous Distortion on Noncompact Alphabets A simplex algorithm for piecewise-linear programming i: Derivation and proof
Reference 28
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-16T15:48:03.938716Z
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.
Observation 61f7a215-7cbc-4c85-bfe3-74d1398937d6 · outbound
This paper cites Über systeme von liearren partiellen differentialgleichun- gen erster ordnung.
Rate-distortion Theory with Lower Semi-continuous Distortion on Noncompact Alphabets Über systeme von liearren partiellen differentialgleichun- gen erster ordnung
Reference 29
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-16T15:48:03.942186Z
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.
Observation 3073a9b6-bcc3-4af1-b09e-b7a4b77bd6d1 · outbound
This paper cites About connecting two points of a completely nonholo- nomic space by admissible curve.
Rate-distortion Theory with Lower Semi-continuous Distortion on Noncompact Alphabets About connecting two points of a completely nonholo- nomic space by admissible curve
Reference 30
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-16T15:48:03.952968Z
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.
Observation 9b08accc-e90b-4530-acd8-4750b7164f37 · outbound
This paper cites Montgomery,A Tour of Subriemannian Geometries, Their Geodesics and Applications.
Rate-distortion Theory with Lower Semi-continuous Distortion on Noncompact Alphabets Montgomery,A Tour of Subriemannian Geometries, Their Geodesics and Applications
Reference 31
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-16T15:48:04.019689Z
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.
Observation f4d7c6cf-42a8-4bf4-93f6-417a58a78858 · outbound
This paper cites Lecture notes on sub-Riemannian geometry.
Rate-distortion Theory with Lower Semi-continuous Distortion on Noncompact Alphabets Lecture notes on sub-Riemannian geometry
Reference 32
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-16T15:48:03.978863Z
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.
Observation 561422b6-1b30-404f-8c36-d1df94ab172a · outbound
This paper cites an unresolved cited work.
Rate-distortion Theory with Lower Semi-continuous Distortion on Noncompact Alphabets Unresolved cited work
Reference 33
- Resolution
- unresolved
- raw_fallback, observed 2026-05-16T15:48:04.002563Z
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.
Observation 8debd091-9b35-4438-bd39-508780fc98fb · outbound
This paper cites Nonanticipative rate distortion function and relations to filtering theory.
Rate-distortion Theory with Lower Semi-continuous Distortion on Noncompact Alphabets Nonanticipative rate distortion function and relations to filtering theory
Reference 34
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-16T15:48:04.033194Z
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.
Observation 2577f25f-4881-449d-ba21-4503a3d5dd8c · outbound
This paper cites Directed information on abstract spaces: Properties and variational equalities.
Rate-distortion Theory with Lower Semi-continuous Distortion on Noncompact Alphabets Directed information on abstract spaces: Properties and variational equalities
Reference 35
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-16T15:48:03.969601Z
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.
Observation 3bde4f6c-54a8-4c85-aa29-2096c599ce37 · outbound
This paper cites Optimal estimation via nonanticipative rate distortion function and applications to time-varying gauss–markov processes.
Rate-distortion Theory with Lower Semi-continuous Distortion on Noncompact Alphabets Optimal estimation via nonanticipative rate distortion function and applications to time-varying gauss–markov processes
Reference 36
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-16T15:48:04.007115Z
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.
Observation d3fd72cc-e2af-4c66-8b5b-d89158932942 · outbound
This paper cites Complete characterization of gorbunov and pinsker nonan- ticipatory epsilon entropy of multivariate gaussian sources: Structural properties.
Rate-distortion Theory with Lower Semi-continuous Distortion on Noncompact Alphabets Complete characterization of gorbunov and pinsker nonan- ticipatory epsilon entropy of multivariate gaussian sources: Structural properties
Reference 37
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-16T15:48:03.961518Z
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.
Observation a518442d-b6d2-4340-a5d5-fb843b50edd6 · outbound
This paper cites Struwe,Variational Methods: Applications to Nonlinear Partial Differential Equations and Hamiltonian Systems.
Rate-distortion Theory with Lower Semi-continuous Distortion on Noncompact Alphabets Struwe,Variational Methods: Applications to Nonlinear Partial Differential Equations and Hamiltonian Systems
Reference 38
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-16T15:48:04.009377Z
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.
Observation c2161692-4d92-427f-ba56-66b9cd97bf74 · outbound
This paper cites Fix0< ϵ < 1.
Rate-distortion Theory with Lower Semi-continuous Distortion on Noncompact Alphabets Fix0< ϵ < 1
Reference 39
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-16T15:48:04.013542Z
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.
Observation 09a1b957-66c7-4549-828d-ffe7e7e6b772 · outbound
This paper cites an unresolved cited work.
Rate-distortion Theory with Lower Semi-continuous Distortion on Noncompact Alphabets Unresolved cited work
Reference 40
- Resolution
- unresolved
- raw_fallback, observed 2026-05-16T15:48:03.958332Z
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.
Observation 27f64efe-a17b-4ac5-a811-e71cae195c3e · outbound
This paper cites ThenZ BR0 (xm) dµm + Z BR(ym) dµm ≥Q m(R0) +Q m(R)− 2 m →Q(R 0) +Q(R) > 1 2 + 1 2 = 1 = Z X dµm,(15) for all sufficiently largem.
Rate-distortion Theory with Lower Semi-continuous Distortion on Noncompact Alphabets ThenZ BR0 (xm) dµm + Z BR(ym) dµm ≥Q m(R0) +Q m(R)− 2 m →Q(R 0) +Q(R) > 1 2 + 1 2 = 1 = Z X dµm,(15) for all sufficiently largem
Reference 41
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-16T15:48:03.964394Z
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.
Pith citing papers
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