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In many areas of imaging science, it is difficult to measure the phase of linear measurements.
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Candès, E. and Li, X., “Solving quadratic equations via phaselift when there are about as many equations as unknowns,” available online
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Alexeev, B., Bandeira, A. S., Fickus, M., and Mixon, D. G., “Phase retrieval with polarization,” available online
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Chung, F., “Four proofs for the cheeger inequality and graph partition algorithms,” Fourth International Congress of Chinese Mathematicians, pp. 331–349
2010
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Eldar, Y., Kuppinger, P., and Bolcskei, H., “Block-sparse signals: Uncertainty relations and efficient recovery,” Signal Processing, IEEE Transactions on
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2011
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Bandeira, A. S., Singer, A., and Spielman, D., “A Cheeger inequality for the graph connection laplacian,” available online
2012
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Bandeira, A. S., Fickus, M., Mixon, D. G., and Wong, P., “The road to deterministic matrices with the restricted isometry property,” available online
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Bandeira, A. S. and Mixon, D. G., “Compressed sensing with intensity measurements,” to appear
2013
Closest in time.
Bandeira, A. S., Cahili, J., Mixon, D. G., and Nelson, A. A., “Saving phase: Injectivity and stability for phase retrieval,” arxiv
2013
Closest in time.
Bandeira, A. S., Chen, Y., and Mixon, D. G., “Phase retrieval from power spectra of masked signals,” available online
2013
Closest in time.
Bandeira, A., Dobriban, E., Mixon, D., and Sawin, W., “Certifying the restricted isometry property is hard,” IEEE Trans. Inform. Theory
2013
Closest in time.