Everything about Overcompleteness

🧭 Start here: a 6-step reading path

1. Read the overview: OvercompletenessA 5-minute orientation
2. Skim a recent paper: Overcompleteness of coherent frames for unimodular amenable groupsInfluential work since 2022
3. Pick up a classic book: Advances in Multimedia ModelingThe most-reprinted book on the subject
4. Read the landmark paper: Time-Averaging, Overcompleteness, and the Geological RecordCited 157 times
5. Go sideways: WaveletA closely related topic
6. Go sideways: Kosambi–Karhunen–Loève theoremA closely related topic

🏆 Landmark papers (most cited)

• Time-Averaging, Overcompleteness, and the Geological Record

  Michał Kowalewski · 1996 · The Journal of Geology · 157 citations

• Density, Overcompleteness, and Localization of Frames. I. Theory

  Radu Balan, Peter G. Casazza, Christopher Heil · 2006 · Journal of Fourier Analysis and Applications · 106 citations

• Nuclear field theory as a method of treating the problem of overcompleteness in descriptions involving elementary modes of both quasi-particles and collective type

  D.R. Bes, G.G. Dussel, R.A. Broglia · 1974 · Physics Letters B · 100 citations

• Density, Overcompleteness, and Localization of Frames. II. Gabor Systems

  Radu Balan, Peter G. Casazza, Christopher Heil · 2006 · Journal of Fourier Analysis and Applications · 54 citations

• Curing basis set overcompleteness with pivoted Cholesky decompositions

  Susi Lehtola · 2019 · The Journal of Chemical Physics · 39 citations

• Chemisorption with overcompleteness, nonorthogonality, and electron correlation: Nondegenerate ground state

  A. Bagchi, Morrel H. Cohen · 1974 · Physical Review B · 20 citations

• Non-orthogonality and overcompleteness in direct nuclear reactions

  Michael C. Birse, Edward F. Redish · 1983 · Nuclear Physics A · 17 citations

• Chemisorption with overcompleteness, nonorthogonality, and electron correlation: II. LargeUlimit

  Amitabha Bagchi, Morrel H. Cohen · 1976 · Physical Review B · 9 citations

🆕 Influential since 2022

• Overcompleteness of coherent frames for unimodular amenable groups

  Martijn Caspers, Jordy Timo van Velthoven · 2023 · Arkiv för Matematik · 4 citations

📚 Books worth reading

• Advances in Multimedia ModelingShipeng Li · 2012
• Computational Visual MediaShi-Min Hu · 2012
• Overcomplete Wavelet Representations With Applications in Image ProcessingJian Fan · 2019
• 📕Finite Frame TheoryKasso A. Okoudjou · 2016
• 📕Application of Rotation- and Translation-Invariant Overcomplete Wavelets to the Registration of Remotely Sensed Imagery · 2018

Ranked by number of editions on Open Library, a rough measure of how lasting a book is.

🔗 Related topics

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