Matches in SemOpenAlex for { <https://semopenalex.org/work/W4386996816> ?p ?o ?g. }
Showing items 1 to 95 of
95
with 100 items per page.
- W4386996816 endingPage "1370" @default.
- W4386996816 startingPage "1370" @default.
- W4386996816 abstract "The Information Bottleneck (IB) is a method of lossy compression of relevant information. Its rate-distortion (RD) curve describes the fundamental tradeoff between input compression and the preservation of relevant information embedded in the input. However, it conceals the underlying dynamics of optimal input encodings. We argue that these typically follow a piecewise smooth trajectory when input information is being compressed, as recently shown in RD. These smooth dynamics are interrupted when an optimal encoding changes qualitatively, at a bifurcation. By leveraging the IB’s intimate relations with RD, we provide substantial insights into its solution structure, highlighting caveats in its finite-dimensional treatments. Sub-optimal solutions are seen to collide or exchange optimality at its bifurcations. Despite the acceptance of the IB and its applications, there are surprisingly few techniques to solve it numerically, even for finite problems whose distribution is known. We derive anew the IB’s first-order Ordinary Differential Equation, which describes the dynamics underlying its optimal tradeoff curve. To exploit these dynamics, we not only detect IB bifurcations but also identify their type in order to handle them accordingly. Rather than approaching the IB’s optimal tradeoff curve from sub-optimal directions, the latter allows us to follow a solution’s trajectory along the optimal curve under mild assumptions. We thereby translate an understanding of IB bifurcations into a surprisingly accurate numerical algorithm." @default.
- W4386996816 created "2023-09-25" @default.
- W4386996816 creator A5055452754 @default.
- W4386996816 date "2023-09-22" @default.
- W4386996816 modified "2023-09-29" @default.
- W4386996816 title "The Information Bottleneck’s Ordinary Differential Equation: First-Order Root Tracking for the Information Bottleneck" @default.
- W4386996816 cites W1534064374 @default.
- W4386996816 cites W1543750907 @default.
- W4386996816 cites W1557324374 @default.
- W4386996816 cites W1596321532 @default.
- W4386996816 cites W1965778005 @default.
- W4386996816 cites W1995875735 @default.
- W4386996816 cites W2025887562 @default.
- W4386996816 cites W2032199857 @default.
- W4386996816 cites W2070945723 @default.
- W4386996816 cites W2077096052 @default.
- W4386996816 cites W2080570118 @default.
- W4386996816 cites W2143121893 @default.
- W4386996816 cites W2148986322 @default.
- W4386996816 cites W2487421050 @default.
- W4386996816 cites W2986587829 @default.
- W4386996816 cites W3106311775 @default.
- W4386996816 cites W3140053156 @default.
- W4386996816 cites W3197183104 @default.
- W4386996816 cites W4238714488 @default.
- W4386996816 cites W4250883246 @default.
- W4386996816 cites W4294959637 @default.
- W4386996816 doi "https://doi.org/10.3390/e25101370" @default.
- W4386996816 hasPublicationYear "2023" @default.
- W4386996816 type Work @default.
- W4386996816 citedByCount "0" @default.
- W4386996816 crossrefType "journal-article" @default.
- W4386996816 hasAuthorship W4386996816A5055452754 @default.
- W4386996816 hasBestOaLocation W43869968161 @default.
- W4386996816 hasConcept C10138342 @default.
- W4386996816 hasConcept C121332964 @default.
- W4386996816 hasConcept C126255220 @default.
- W4386996816 hasConcept C1276947 @default.
- W4386996816 hasConcept C134306372 @default.
- W4386996816 hasConcept C13662910 @default.
- W4386996816 hasConcept C149635348 @default.
- W4386996816 hasConcept C152139883 @default.
- W4386996816 hasConcept C154945302 @default.
- W4386996816 hasConcept C162324750 @default.
- W4386996816 hasConcept C165021410 @default.
- W4386996816 hasConcept C182306322 @default.
- W4386996816 hasConcept C2780513914 @default.
- W4386996816 hasConcept C28826006 @default.
- W4386996816 hasConcept C33923547 @default.
- W4386996816 hasConcept C41008148 @default.
- W4386996816 hasConcept C51544822 @default.
- W4386996816 hasConcept C60008888 @default.
- W4386996816 hasConcept C78045399 @default.
- W4386996816 hasConcept C91575142 @default.
- W4386996816 hasConceptScore W4386996816C10138342 @default.
- W4386996816 hasConceptScore W4386996816C121332964 @default.
- W4386996816 hasConceptScore W4386996816C126255220 @default.
- W4386996816 hasConceptScore W4386996816C1276947 @default.
- W4386996816 hasConceptScore W4386996816C134306372 @default.
- W4386996816 hasConceptScore W4386996816C13662910 @default.
- W4386996816 hasConceptScore W4386996816C149635348 @default.
- W4386996816 hasConceptScore W4386996816C152139883 @default.
- W4386996816 hasConceptScore W4386996816C154945302 @default.
- W4386996816 hasConceptScore W4386996816C162324750 @default.
- W4386996816 hasConceptScore W4386996816C165021410 @default.
- W4386996816 hasConceptScore W4386996816C182306322 @default.
- W4386996816 hasConceptScore W4386996816C2780513914 @default.
- W4386996816 hasConceptScore W4386996816C28826006 @default.
- W4386996816 hasConceptScore W4386996816C33923547 @default.
- W4386996816 hasConceptScore W4386996816C41008148 @default.
- W4386996816 hasConceptScore W4386996816C51544822 @default.
- W4386996816 hasConceptScore W4386996816C60008888 @default.
- W4386996816 hasConceptScore W4386996816C78045399 @default.
- W4386996816 hasConceptScore W4386996816C91575142 @default.
- W4386996816 hasFunder F4320322252 @default.
- W4386996816 hasIssue "10" @default.
- W4386996816 hasLocation W43869968161 @default.
- W4386996816 hasOpenAccess W4386996816 @default.
- W4386996816 hasPrimaryLocation W43869968161 @default.
- W4386996816 hasRelatedWork W1504394672 @default.
- W4386996816 hasRelatedWork W2381356463 @default.
- W4386996816 hasRelatedWork W2528911914 @default.
- W4386996816 hasRelatedWork W2622284819 @default.
- W4386996816 hasRelatedWork W2791620354 @default.
- W4386996816 hasRelatedWork W2950826591 @default.
- W4386996816 hasRelatedWork W2996506326 @default.
- W4386996816 hasRelatedWork W3047846152 @default.
- W4386996816 hasRelatedWork W4381744296 @default.
- W4386996816 hasRelatedWork W4386721405 @default.
- W4386996816 hasVolume "25" @default.
- W4386996816 isParatext "false" @default.
- W4386996816 isRetracted "false" @default.
- W4386996816 workType "article" @default.