Rn Mohsen - Academia.edu (original) (raw)

Papers by Rn Mohsen

Computing Research Repository, 2010

Approximate message passing' algorithms have proved to be effective in reconstructing sparse sign... more Approximate message passing' algorithms have proved to be effective in reconstructing sparse signals from a small number of incoherent linear measurements. Extensive numerical experiments further showed that their dynamics is accurately tracked by a simple one-dimensional iteration termed state evolution. In this paper we provide rigorous foundation to state evolution. We prove that indeed it holds asymptotically in the large system limit for sensing matrices with independent and identically distributed gaussian entries.

Metrika, 2011

In this article we present results on the Shannon information (SI) contained in upper (lower) rec... more In this article we present results on the Shannon information (SI) contained in upper (lower) record values and associated record times in a sequence of i.i.d continuous variables. We then establish an interesting relationship between the SI content of a random sample of fixed size, and the SI in the data consisting of sequential maxima. We also consider the information contained in the record data from an inverse sampling plan (ISP).

Annals of The Institute of Statistical Mathematics, 1994

It is shown that a degenerate rankd-variate stationary time series can be reduced to a full rank ... more It is shown that a degenerate rankd-variate stationary time series can be reduced to a full rank time series of lower dimension via an orthogonal transformationT provided that ρ, the canonical correlation between past and future of the time series is strictly less than one. Procedures for estimation of rank of the multiple time series,T and testing ρ=1 are outlined, the latter is related to testing the unit root hypothesis in ARMA models.

Archives of Physical Medicine and Rehabilitation, 2006

arithmetic when compared with controls (paraplegics, 8.9Ϯ4.9ms/mmHg vs controls, 18.4Ϯ8.6ms/ mmHg... more arithmetic when compared with controls (paraplegics, 8.9Ϯ4.9ms/mmHg vs controls, 18.4Ϯ8.6ms/ mmHg; PϽ.05). Baroreflex sensitivity decreased in paraplegics during mental arithmetic (15.9Ϯ14.4ms/mmHg vs 8.9Ϯ4.9ms/mmHg; PϽ.05) while controls showed no change to mental arithmetic (baseline, 20.3Ϯ7.7ms/mmHg vs mental arithmetic, 18.4Ϯ8.6ms/mmHg). Blood pressure decreased following oxygen challenge in both groups (paraplegics, 134Ϯ23.8mmHg to 128Ϯ24.3mmHg; controls, 112Ϯ19.5mmHg to 102Ϯ15.5mmHg; PϽ.05), while vagal modulation increased in controls compared with paraplegics (controls, 17.3 NU vs paraplegics, 2.3 NU; PϽ.01). With the oxygen challenge, baroreflex sensitivity was unchanged in both compartments for both groups. Conclusions: Paraplegics experience a more unfavorable shift in autonomic reactivity during mental arithmetic consistent with lower vagal reactivity and stiffer vessels. With mental arithmetic, baroreflex sensitivity is preserved below the level of the spinal injury, but shows a decreased responsiveness compared with controls, indicating that peripheral factors also contribute to maintaining vascular tone. Disclosure: None.

Computing Research Repository, 2010

Approximate message passing' algorithms have proved to be effective in reconstructing sparse sign... more Approximate message passing' algorithms have proved to be effective in reconstructing sparse signals from a small number of incoherent linear measurements. Extensive numerical experiments further showed that their dynamics is accurately tracked by a simple one-dimensional iteration termed state evolution. In this paper we provide rigorous foundation to state evolution. We prove that indeed it holds asymptotically in the large system limit for sensing matrices with independent and identically distributed gaussian entries.

Metrika, 2011

In this article we present results on the Shannon information (SI) contained in upper (lower) rec... more In this article we present results on the Shannon information (SI) contained in upper (lower) record values and associated record times in a sequence of i.i.d continuous variables. We then establish an interesting relationship between the SI content of a random sample of fixed size, and the SI in the data consisting of sequential maxima. We also consider the information contained in the record data from an inverse sampling plan (ISP).

Annals of The Institute of Statistical Mathematics, 1994

It is shown that a degenerate rankd-variate stationary time series can be reduced to a full rank ... more It is shown that a degenerate rankd-variate stationary time series can be reduced to a full rank time series of lower dimension via an orthogonal transformationT provided that ρ, the canonical correlation between past and future of the time series is strictly less than one. Procedures for estimation of rank of the multiple time series,T and testing ρ=1 are outlined, the latter is related to testing the unit root hypothesis in ARMA models.

Archives of Physical Medicine and Rehabilitation, 2006

arithmetic when compared with controls (paraplegics, 8.9Ϯ4.9ms/mmHg vs controls, 18.4Ϯ8.6ms/ mmHg... more arithmetic when compared with controls (paraplegics, 8.9Ϯ4.9ms/mmHg vs controls, 18.4Ϯ8.6ms/ mmHg; PϽ.05). Baroreflex sensitivity decreased in paraplegics during mental arithmetic (15.9Ϯ14.4ms/mmHg vs 8.9Ϯ4.9ms/mmHg; PϽ.05) while controls showed no change to mental arithmetic (baseline, 20.3Ϯ7.7ms/mmHg vs mental arithmetic, 18.4Ϯ8.6ms/mmHg). Blood pressure decreased following oxygen challenge in both groups (paraplegics, 134Ϯ23.8mmHg to 128Ϯ24.3mmHg; controls, 112Ϯ19.5mmHg to 102Ϯ15.5mmHg; PϽ.05), while vagal modulation increased in controls compared with paraplegics (controls, 17.3 NU vs paraplegics, 2.3 NU; PϽ.01). With the oxygen challenge, baroreflex sensitivity was unchanged in both compartments for both groups. Conclusions: Paraplegics experience a more unfavorable shift in autonomic reactivity during mental arithmetic consistent with lower vagal reactivity and stiffer vessels. With mental arithmetic, baroreflex sensitivity is preserved below the level of the spinal injury, but shows a decreased responsiveness compared with controls, indicating that peripheral factors also contribute to maintaining vascular tone. Disclosure: None.