메뉴 건너뛰기




Volumn 59, Issue 1, 2013, Pages 472-481

On the fundamental limits of adaptive sensing

Author keywords

Adaptive sensing; compressed sensing; hypothesis tests; information bounds; sparse signal estimation; support recovery

Indexed keywords

ADAPTIVE SENSING; COMPRESSIVE SENSING; HYPOTHESIS TESTS; INFORMATION BOUNDS; SPARSE SIGNALS;

EID: 84871766619     PISSN: 00189448     EISSN: None     Source Type: Journal    
DOI: 10.1109/TIT.2012.2215837     Document Type: Article
Times cited : (106)

References (31)
  • 1
    • 31744440684 scopus 로고    scopus 로고
    • Robust uncertainty principles: Exact signal reconstruction from highly incomplete frequency information
    • Feb
    • E. Candès, J. Romberg, and T. Tao, "Robust uncertainty principles: Exact signal reconstruction from highly incomplete frequency information," IEEE Trans. Inf. Theory, vol. 52, no. 2, pp. 489-509, Feb. 2006.
    • (2006) IEEE Trans. Inf. Theory , vol.52 , Issue.2 , pp. 489-509
    • Candès, E.1    Romberg, J.2    Tao, T.3
  • 2
    • 33947416035 scopus 로고    scopus 로고
    • Near-optimal signal recovery fromrandom projections: Universal encoding strategies?
    • Dec
    • E. Candès and T. Tao, "Near-optimal signal recovery fromrandom projections: Universal encoding strategies?," IEEE Trans. Inf. Theory, vol. 52, no. 12, pp. 5406-5425, Dec. 2006.
    • (2006) IEEE Trans. Inf. Theory , vol.52 , Issue.12 , pp. 5406-5425
    • Candès, E.1    Tao, T.2
  • 3
    • 33645712892 scopus 로고    scopus 로고
    • Compressed sensing
    • Apr
    • D. Donoho, "Compressed sensing," IEEE Trans. Inf. Theory, vol. 52, no. 4, pp. 1289-1306, Apr. 2006.
    • (2006) IEEE Trans. Inf. Theory , vol.52 , Issue.4 , pp. 1289-1306
    • Donoho, D.1
  • 4
    • 34548275795 scopus 로고    scopus 로고
    • The Dantzig Selector: Statistical estimation when is much larger than
    • E. Candès and T. Tao, "The Dantzig Selector: Statistical estimation when is much larger than, " Ann. Statist., vol. 35, no. 6, pp. 2313-2351, 2007.
    • (2007) Ann. Statist. , vol.35 , Issue.6 , pp. 2313-2351
    • Candès, E.1    Tao, T.2
  • 5
    • 0001287271 scopus 로고    scopus 로고
    • Regression shrinkage and selection via the lasso
    • R. Tibshirani, "Regression shrinkage and selection via the lasso," J. Roy. Statist. Soc. Ser. B, vol. 58, no. 1, pp. 267-288, 1996.
    • (1996) J. Roy. Statist. Soc. Ser. B , vol.58 , Issue.1 , pp. 267-288
    • Tibshirani, R.1
  • 9
    • 17644388356 scopus 로고    scopus 로고
    • Assouad, fano, and le cam
    • New York: Springer- Verlag
    • B. Yu, "Assouad, Fano, and Le Cam," in Festschrift for Lucien Le Cam. New York: Springer-Verlag, 1997, pp. 423-435.
    • (1997) Festschrift for Lucien le Cam , pp. 423-435
    • Yu, B.1
  • 10
    • 43749112531 scopus 로고    scopus 로고
    • Minimax bounds for active learning
    • May
    • R. Castro and R. Nowak, "Minimax bounds for active learning," IEEE Trans. Inf. Theory, vol. 54, no. 5, pp. 2339-2353, May 2008.
    • (2008) IEEE Trans. Inf. Theory , vol.54 , Issue.5 , pp. 2339-2353
    • Castro, R.1    Nowak, R.2
  • 11
    • 80053440857 scopus 로고    scopus 로고
    • Nonparametric bandits with covariates
    • Haifa, Israel, Jun.
    • P. Rigollet and A. Zeevi, "Nonparametric bandits with covariates," presented at the presented at the Int. Conf. Learn. Theory, Haifa, Israel, Jun. 2010.
    • (2010) Int. Conf. Learn. Theory
    • Rigollet, P.1    Zeevi, A.2
  • 12
    • 77949573608 scopus 로고    scopus 로고
    • Information complexity of black-box convex optimization: A new look via feedback information theory
    • Monticello, IL Oct.
    • M. Raginsky and A. Rakhlin, "Information complexity of black-box convex optimization: A new look via feedback information theory," in Proc. 47th Annu. Allerton Conf. Commun., Control, Comput., Monticello, IL, Oct. 2009, pp. 503-510.
    • (2009) Proc. 47th Annu. Allerton Conf. Commun., Control, Comput. , pp. 503-510
    • Raginsky, M.1    Rakhlin, A.2
  • 13
    • 80053974183 scopus 로고    scopus 로고
    • Minimax rates of estimation for high-dimensional linear regression over-balls
    • Oct
    • G. Raskutti, M. Wainwright, and B. Yu, "Minimax rates of estimation for high-dimensional linear regression over-balls," IEEE Trans. Inf. Theory, vol. 57, no. 10, pp. 6976-6994, Oct. 2011.
    • (2011) IEEE Trans. Inf. Theory , vol.57 , Issue.10 , pp. 6976-6994
    • Raskutti, G.1    Wainwright, M.2    Yu, B.3
  • 14
    • 77956674627 scopus 로고    scopus 로고
    • Information theoretic bounds for compressed sensing
    • Oct
    • S. Aeron, V. Saligrama, and M. Zhao, "Information theoretic bounds for compressed sensing," IEEE Trans. Inf. Theory, vol. 56, no. 10, pp. 5111-5130, Oct. 2010.
    • (2010) IEEE Trans. Inf. Theory , vol.56 , Issue.10 , pp. 5111-5130
    • Aeron, S.1    Saligrama, V.2    Zhao, M.3
  • 15
    • 84857090762 scopus 로고    scopus 로고
    • Minimax risks for sparse regressions: Ultra-high-dimensional phenomenons
    • N. Verzelen, "Minimax risks for sparse regressions: Ultra-high-dimensional phenomenons," Electron. J. Statist., vol. 6, pp. 38-90, 2012.
    • (2012) Electron. J. Statist. , vol.6 , pp. 38-90
    • Verzelen, N.1
  • 16
    • 0030242131 scopus 로고    scopus 로고
    • On the power of adaptation
    • E. Novak, "On the power of adaptation," J. Complexity, vol. 12, no. 3, pp. 199-237, 1996.
    • (1996) J. Complexity , vol.12 , Issue.3 , pp. 199-237
    • Novak, E.1
  • 17
    • 84862695468 scopus 로고    scopus 로고
    • On the power of adaptivity in sparse recovery
    • Palm Springs, CA, Oct.
    • P. Indyk, E. Price, and D. Woodruff, "On the power of adaptivity in sparse recovery," in Proc. IEEE Symp. Found. Comp. Science, Palm Springs, CA, Oct. 2011, pp. 285-294.
    • (2011) Proc. IEEE Symp. Found. Comp. Science , pp. 285-294
    • Indyk, P.1    Price, E.2    Woodruff, D.3
  • 18
    • 78650068983 scopus 로고    scopus 로고
    • Distilled sensing: Selective sampling for sparse signal recovery
    • Clearwater Beach, FL Apr.
    • J. Haupt, R. Castro, and R. Nowak, "Distilled sensing: Selective sampling for sparse signal recovery," presented at the presented at the Int. Conf. Art. Intell. Stat., Clearwater Beach, FL, Apr. 2009.
    • (2009) Int. Conf. Art. Intell. Stat.
    • Haupt, J.1    Castro, R.2    Nowak, R.3
  • 19
    • 23744475601 scopus 로고    scopus 로고
    • Higher criticism for detecting sparse heterogeneous mixtures
    • D. Donoho and J. Jin, "Higher criticism for detecting sparse heterogeneous mixtures," Ann. Statist., vol. 32, no. 3, pp. 962-994, 2004.
    • (2004) Ann. Statist. , vol.32 , Issue.3 , pp. 962-994
    • Donoho, D.1    Jin, J.2
  • 20
    • 84861313029 scopus 로고    scopus 로고
    • On the limits of sequential testing in high dimensions
    • Pacific Grove, CA, Nov.
    • M. Malloy and R. Nowak, "On the limits of sequential testing in high dimensions," presented at the presented at the Asilomar Conf. Signals, Syst. Comput., Pacific Grove, CA, Nov. 2011.
    • (2011) Asilomar Conf. Signals, Syst. Comput.
    • Malloy, M.1    Nowak, R.2
  • 21
    • 74749107538 scopus 로고
    • Tests and confidence intervals
    • New York: Springer- Verlag Springer Series in Statistics
    • D. Siegmund, "Tests and confidence intervals," in Sequential Analysis. New York: Springer-Verlag, 1985, Springer Series in Statistics.
    • (1985) Sequential Analysis
    • Siegmund, D.1
  • 22
    • 63649090713 scopus 로고    scopus 로고
    • Adaptive sensing for sparse signal recovery
    • Marco Island, FL Jan.
    • J. Haupt, R. Nowak, and R. Castro, "Adaptive sensing for sparse signal recovery," presented at the presented at the Digit. Signal Process. Workshop, Marco Island, FL, Jan. 2009.
    • (2009) Digit. Signal Process. Workshop
    • Haupt, J.1    Nowak, R.2    Castro, R.3
  • 23
    • 77953830942 scopus 로고    scopus 로고
    • Compressive distilled sensing: Sparse recovery using adaptivity in compressive measurements
    • Pacific Grove, CA Nov.
    • J. Haupt, R. Baraniuk, R. Castro, and R. Nowak, "Compressive distilled sensing: Sparse recovery using adaptivity in compressive measurements," in Proc. 43rd Asilomar Conf. Signals, Syst. Comput., Pacific Grove, CA, Nov. 2009, pp. 1551-1555.
    • (2009) Proc. 43rd Asilomar Conf. Signals, Syst. Comput. , pp. 1551-1555
    • Haupt, J.1    Baraniuk, R.2    Castro, R.3    Nowak, R.4
  • 24
    • 51449124089 scopus 로고    scopus 로고
    • Finding needles in noisy haystacks
    • Speech, Signal Process., Las Vegas, NV, Apr.
    • R. Castro, J. Haupt, R. Nowak, and G. Raz, "Finding needles in noisy haystacks," in Proc. IEEE Int. Conf. Acoust., Speech, Signal Process., Las Vegas, NV, Apr. 2008, pp. 5133-5136.
    • (2008) Proc. IEEE Int. Conf. Acoust. , pp. 5133-5136
    • Castro, R.1    Haupt, J.2    Nowak, R.3    Raz, G.4
  • 25
    • 44849087307 scopus 로고    scopus 로고
    • Bayesian compressive sensing
    • Jun
    • S. Ji, Y. Xue, and L. Carin, "Bayesian compressive sensing," IEEE Trans. Signal Process., vol. 56, no. 6, pp. 2346-2356, Jun. 2008.
    • (2008) IEEE Trans. Signal Process. , vol.56 , Issue.6 , pp. 2346-2356
    • Ji, S.1    Xue, Y.2    Carin, L.3
  • 26
    • 77953842416 scopus 로고    scopus 로고
    • Group testing strategies for recovery of sparse signals in noise
    • Pacific Grove, CA Nov.
    • M. Iwen, "Group testing strategies for recovery of sparse signals in noise," in Proc. 43rd Asilomar Conf. Signals, Syst. Comput., Pacific Grove, CA, Nov. 2009, pp. 1561-1565.
    • (2009) Proc. 43rd Asilomar Conf. Signals, Syst. Comput. , pp. 1561-1565
    • Iwen, M.1
  • 27
    • 34247553430 scopus 로고    scopus 로고
    • Concentration inequalities and model selection
    • Berlin Germany: Springer- Verlag
    • P. Massart, Concentration Inequalities and Model Selection. Berlin, Germany: Springer-Verlag, 2007, vol. 1896, Lecture Notes in Mathematics.
    • (2007) Lecture Notes in Mathematics , vol.1896
    • Massart, P.1
  • 29
    • 0009290472 scopus 로고
    • Deux remarques sur l'estimation
    • P. Assouad, "Deux remarques sur l'estimation," C. R. Acad. Sci. Paris Sér. I Math., vol. 296, no. 23, pp. 1021-1024, 1983.
    • (1983) C. R. Acad. Sci. Paris Sér. i Math. , vol.296 , Issue.23 , pp. 1021-1024
    • Assouad, P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.