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Xavier Andrade edited Conclusions.tex
over 9 years ago
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Beyond the specific problem of computing matrices that we have addressed, in this work we have shown that compressed sensing can be integrated in the core of computational simulation with the purpose or reducing the numerical cost by optimizing the information we get from each computation.
We have introduced as well an effective method of bootstraping calculations by using information from lower accuracy calculations, something that is not simple to do in quantum chemical calculations. In this new
picture, paradigm, the role of expensive high-accuracy methods would be to correct the low accuracy results, with a cost proportional to the magnitude of required correction, rather than recalculating
all results from
the scratch.
%There are serveral peculiarities to our approach. While in general the additional knowledge %about the problem must be integrated a priori while designing the simulation strategy, our %approach is general and can
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%The properties of the method: no need to know the location of the non-zero elements, quasi%-linear scaling with the matrix sparsity and exact recovery, make it practical to use