000187347 001__ 187347
000187347 005__ 20181203040015.0
000187347 0247_ $$2doi$$a10.1093/mnras/stt1994
000187347 02470 $$2ISI$$a000329158900003
000187347 037__ $$aARTICLE
000187347 245__ $$aTensor optimisation for optical-interferometric imaging
000187347 269__ $$a2014
000187347 260__ $$aOxford$$bOxford Univ Press$$c2014
000187347 300__ $$a9
000187347 336__ $$aJournal Articles
000187347 520__ $$aImage recovery in optical interferometry is an ill-posed nonlinear inverse problem arising from incomplete power spectrum and bispectrum measurements. We reformulate this nonlin- ear problem as a linear problem for the supersymmetric rank-1 order-3 tensor formed by the tensor product of the vector representing the image under scrutiny with itself. On one hand, we propose a linear convex approach for tensor recovery with built-in supersymmetry, and regularising the inverse problem through a nuclear norm relaxation of a low-rank constraint. On the other hand, we also study a nonlinear nonconvex approach with built-in rank-1 con- straint but where supersymmetry is relaxed, formulating the problem for the tensor product of 3 vectors. In this second approach, only linear convex minimisation subproblems are how- ever solved, alternately and iteratively for the 3 vectors. We provide a comparative analysis of these two novel approaches through numerical simulations on small-size images.
000187347 6531_ $$aOptical Interferometry
000187347 6531_ $$aConvex Optimisation
000187347 6531_ $$aLTS2
000187347 6531_ $$aLTS5
000187347 700__ $$0246305$$aAuría Rasclosa, Anna$$g219025
000187347 700__ $$0245580$$aCarrillo, Rafael$$g215293
000187347 700__ $$0240427$$aThiran, Jean-Philippe$$g163268
000187347 700__ $$0240427$$aWiaux, Yves$$g163268
000187347 773__ $$j437$$k3$$q2083-2091$$tMonthly Notices of the Royal Astronomical Society
000187347 8564_ $$s256316$$uhttps://infoscience.epfl.ch/record/187347/files/to4oi_mnras.pdf$$yn/a$$zn/a
000187347 909C0 $$0252394$$pLTS5$$xU10954
000187347 909C0 $$0252392$$pLTS2$$xU10380
000187347 909CO $$ooai:infoscience.tind.io:187347$$pSTI$$particle$$qGLOBAL_SET
000187347 917Z8 $$x219025
000187347 917Z8 $$x215293
000187347 917Z8 $$x215293
000187347 917Z8 $$x219025
000187347 917Z8 $$x215293
000187347 917Z8 $$x215293
000187347 937__ $$aEPFL-ARTICLE-187347
000187347 973__ $$aEPFL$$rREVIEWED$$sPUBLISHED
000187347 980__ $$aARTICLE