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  2. New Lower Bounds on Nonnegative Rank using Conic Programming

    www.damtp.cam.ac.uk/user/hf323/talks/iccopt_slides.pdf
    6 Oct 2016: rank+(A) = min{r N : U Rmr0 , V Rrn0 A = UV}(Note: if we drop requirement U, V 0, we get the usual rank). ... zero entries:supp(A) = R1 R2 Rk. I Hence we have:rank+(A) rc(A).
  3. Generalized sampling and infinite-dimensionalcompressed sensing Ben…

    www.damtp.cam.ac.uk/research/afha/anders/BAACHGSCS_Rev10.pdf
    21 Jan 2016: the || nonzero entries are allowed tohave arbitrary locations in N, regardless of the reconstruction algorithm used [15]. ... In particular, condition (5.7) is the requirementon the magnitude of the off-diagonal entries of the matrix PMUPNUPM.
  4. Power and limitations of convex formulationsvia linear and…

    www.damtp.cam.ac.uk/user/hf323/Fawzi_PhDthesis.pdf
    6 Oct 2016: in partial fulfillment of the requirements for the degree of. Doctor of Philosophy. ... Definition 5 (Gouveia, Parrilo, Thomas [50]). Let 𝑆 R𝑝𝑞+ be a matrix withnonnegative entries.
  5. 9 The Method of Characteristics When we studied Laplace’s ...

    www.damtp.cam.ac.uk/user/dbs26/1BMethods/Characteristics.pdf
    26 Nov 2016: 116 –. itself. This requirement is reasonable from the point of view of studying equations that. ... quadratic form σp(x, k) = kTAk where A is the matrix with entries aij(x).
  6. Tidal excitation of hydromagnetic waves and their damping in the Earth

    www.damtp.cam.ac.uk/user/rrk26/Papers/Tidal94.pdf
    12 Aug 2016: Additional entries may then appear in the coupling operators 2: and 2; depending crucially upon how the ellipticity enters into the underlying flow, but the overall conclusions remain the same. ... The boldfaced entries (2n, 1) correspond to the dotted
  7. Generalized sampling and infinite-dimensionalcompressed sensing Ben…

    www.damtp.cam.ac.uk/research/afha/people/anders/BAACHGSCS_Rev10.pdf
    21 Jan 2016: the || nonzero entries are allowed tohave arbitrary locations in N, regardless of the reconstruction algorithm used [15]. ... In particular, condition (5.7) is the requirementon the magnitude of the off-diagonal entries of the matrix PMUPNUPM.
  8. Breaking the coherence barrier: A new theory forcompressed sensing ...

    www.damtp.cam.ac.uk/research/afha/anders/BreakingCoherenceRevisionFinal.pdf
    2 Nov 2016: In Figure 4 we plot the absolute values of the entries of the matrix U for these threeexamples. ... r} {1,. ,r} be a permutation and let V be the matrix with entries vkl =δl,π(k).
  9. Breaking the coherence barrier: A new theory forcompressed sensing ...

    www.damtp.cam.ac.uk/research/afha/people/anders/BreakingCoherenceRevisionFinal.pdf
    2 Nov 2016: In Figure 4 we plot the absolute values of the entries of the matrix U for these threeexamples. ... r} {1,. ,r} be a permutation and let V be the matrix with entries vkl =δl,π(k).
  10. This isa spec ific indiv idual’s copy of the ...

    www.damtp.cam.ac.uk/user/sjc1/teaching/VandM/notes.pdf
    6 Nov 2016: This. isa. spec. ific. indiv. idual’s. copy. of. the. note. s.It. isnot. tob. eco. pie. dand/or. redis. trib. ute. d. Mathematical Tripos: IA Vectors & Matrices. Contents. -1 Vectors & Matrices: Introduction i. -0.7 Schedule. i. -0.6 Lectures. ii.
  11. Analyzing the structure of multidimensional compressedsensing…

    www.damtp.cam.ac.uk/research/afha/anders/dDCoherence_Arxiv.pdf
    24 Oct 2016: Analyzing the structure of multidimensional compressedsensing problems through coherence. A. JonesUniversity of Cambridge. B. AdcockSimon Fraser Univesity. A. HansenUniversity of Cambridge. Abstract. Recently it has been established that asymptotic

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