tag:blogger.com,1999:blog-6068554977761810119.comments2016-09-21T16:59:59.799+09:00Welcome to My Sparse LandMasaaki Nagaharanoreply@blogger.comBlogger26125tag:blogger.com,1999:blog-6068554977761810119.post-46729452084436550592015-04-18T07:06:31.367+09:002015-04-18T07:06:31.367+09:00Hi Masaaki
This is an interesting approach that I...Hi Masaaki <br />This is an interesting approach that I had not thought about before. <br />I have previously thought of the binary discrete-valued problem as a special case of what Donoho & Tanner call K-simple signals in http://dx.doi.org/10.1109/JPROC.2010.2045630, i.e. a 0-simple signal. Have you compared your approach to what they call example 3 in their introduction? <br />We have also developed a semi-definite relaxation to tackle undersampled discrete signals in http://vbn.aau.dk/en/publications/downsampling-of-dft-precoded-signals-for-the-awgn-channel(18feb133-b4d2-4e62-867b-1714dae6c931).html<br />Finally, it also seems to me that GAMP should be able to handle this by defining a suitable discrete input probability mass function for it. thomashttp://thomas.arildsen.org/noreply@blogger.comtag:blogger.com,1999:blog-6068554977761810119.post-86759724496800170382014-10-03T10:57:49.341+09:002014-10-03T10:57:49.341+09:00Thank you for sharing this one, I think this kid c...Thank you for sharing this one, I think this kid can use <a href="www.thegreenbook.com/products/sensors/" rel="nofollow"> Sensors </a>. so that he can detect the lights, etc. albertine12http://albertine12.livejournal.com/noreply@blogger.comtag:blogger.com,1999:blog-6068554977761810119.post-16933870531518187362014-09-08T14:57:50.156+09:002014-09-08T14:57:50.156+09:00Hi Song. Thank you for your comment. Yes, it's...Hi Song. Thank you for your comment. Yes, it's a small world! See you soon.Masaaki Nagaharahttp://www.blogger.com/profile/01677531634711698554noreply@blogger.comtag:blogger.com,1999:blog-6068554977761810119.post-57462642685088643262014-09-08T14:43:59.580+09:002014-09-08T14:43:59.580+09:00I should definitely thank Daniel for being so nice...I should definitely thank Daniel for being so nice in inviting me to the dinner as Yuzhe and Francisco's friend, though Daniel and I did not know each other beforehand:) Indeed, it is great to get to know you all. Such a small world! <br /><br />It is terrific that I could meet you in person, and I did learn so much form our discussions. Hope to see more of your posts in the future!Song Fanghttp://www.blogger.com/profile/15221255279887465562noreply@blogger.comtag:blogger.com,1999:blog-6068554977761810119.post-43733442045693545062013-04-04T13:40:11.565+09:002013-04-04T13:40:11.565+09:00Thanks for sharing and writing the comprehensive u...Thanks for sharing and writing the comprehensive users guide to compressed sensing. The research work helped me in understanding various aspects of compressed sensing.<br />perytonshttp://www.perytons.com/noreply@blogger.comtag:blogger.com,1999:blog-6068554977761810119.post-1366354655344757882013-03-03T03:07:22.878+09:002013-03-03T03:07:22.878+09:00Interesting figure here - the caption is in Danish...Interesting figure here - the caption is in Danish. Thomas Arildsenhttp://www.blogger.com/profile/00461210615375168098noreply@blogger.comtag:blogger.com,1999:blog-6068554977761810119.post-56165298619498967282012-11-23T12:36:04.230+09:002012-11-23T12:36:04.230+09:00Wow! I think those places are really cool. Thanks ...Wow! I think those places are really cool. Thanks for sharing this to us. It is easier for us to locate those places because of this post. Charicenoreply@blogger.comtag:blogger.com,1999:blog-6068554977761810119.post-19688279485739365422012-11-05T10:24:31.512+09:002012-11-05T10:24:31.512+09:00Hello Dr. Jianguo Zhao,
Thank you for letting us ...Hello Dr. Jianguo Zhao,<br /><br />Thank you for letting us know a nice paper on feedback control with compressed sensing. It is very interesting.Masaaki Nagaharahttp://www.blogger.com/profile/01677531634711698554noreply@blogger.comtag:blogger.com,1999:blog-6068554977761810119.post-48906542860088184742012-11-05T00:41:36.377+09:002012-11-05T00:41:36.377+09:00Hello Dr. Nagahara,
Thanks for putting all the co...Hello Dr. Nagahara,<br /><br />Thanks for putting all the compresed sensing for control system together. <br /><br />We also did some work in using compressed sensing for feedback control, specifically, image based feedback control. We showed that using partial image information (compressive feedback), we can still have stability results. <br /><br />J. Zhao，B. Song, N. Xi, K. Lai, H. Chen, and C. Qu, Compressive Feedback Based Non-vector Space Control, American Control Conference (ACC), Montréal, Canada, 2012.Jianguo Zhaohttp://www.blogger.com/profile/09582123212572566504noreply@blogger.comtag:blogger.com,1999:blog-6068554977761810119.post-84552429183846739692012-09-17T12:25:03.725+09:002012-09-17T12:25:03.725+09:00thanks for sharing.thanks for sharing<a href="http://www.justdetective.com/" title="徵信社" rel="nofollow">.</a><br />Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-6068554977761810119.post-31334444823592904162012-09-03T20:06:46.018+09:002012-09-03T20:06:46.018+09:00thanksthanksAnonymousnoreply@blogger.comtag:blogger.com,1999:blog-6068554977761810119.post-2269296865754015902012-07-28T17:05:54.816+09:002012-07-28T17:05:54.816+09:00This comment has been removed by a blog administrator.Alex Simonhttp://www.blogger.com/profile/12273186575566750533noreply@blogger.comtag:blogger.com,1999:blog-6068554977761810119.post-991249293688158112012-07-13T13:32:38.404+09:002012-07-13T13:32:38.404+09:00Thank you very much, Garima.Thank you very much, Garima.Masaaki Nagaharahttp://www.blogger.com/profile/01677531634711698554noreply@blogger.comtag:blogger.com,1999:blog-6068554977761810119.post-61389393457937227522012-07-12T02:01:07.170+09:002012-07-12T02:01:07.170+09:00Great post!! very informative.
Thank you very much...Great post!! very informative.<br />Thank you very much for such a lovely and informative post.<br /><a href="http://www.dritjaipur.org/" title="Top Engineering college in jaipur" rel="nofollow">Top Engineering college in jaipur </a>Garimahttp://www.blogger.com/profile/12788080408470610452noreply@blogger.comtag:blogger.com,1999:blog-6068554977761810119.post-62421108111568498502012-05-07T13:22:03.510+09:002012-05-07T13:22:03.510+09:00Igor,
Thanks a lot for linking nice pdf's.
A...Igor,<br /><br />Thanks a lot for linking nice pdf's.<br /><br />At p.4 of the tutorial slides, I remember Volkan had a lecture at my university, Kyoto univ, just after ICASSP2012. The lecture was nice on high-dimensional statistics, which is different from one you suggested, but he also used the "<S>parsity" notation (<S> for the trademark of Superman). That's why I remember Volkan's lecture from the tutorial slides.<br /><br />Best regards,<br />MasaakiMasaaki Nagaharahttp://www.blogger.com/profile/01677531634711698554noreply@blogger.comtag:blogger.com,1999:blog-6068554977761810119.post-17785585177879861082012-05-07T06:23:11.270+09:002012-05-07T06:23:11.270+09:00Masaaki,
You might also be interested in this pap...Masaaki,<br /><br />You might also be interested in this paper<br /><br />http://ssg.mit.edu/~venkatc/crpw_lip_preprint10.pdf<br /><br />In the figure "A summary of the recovery bounds obtained using Gaussian width arguments."<br /><br /> there is this info about +/-1 vector being recoverable with gaussian matrices with p/2 rows.<br /><br />of related interest:<br />http://www.lx.it.pt/~mtf/ICASSP%202012%20Tutorial%20[Cevher,%20Figueiredo].pdf<br /><br />Igor.Igorhttp://www.blogger.com/profile/17474880327699002140noreply@blogger.comtag:blogger.com,1999:blog-6068554977761810119.post-56692775638127220932012-05-06T16:58:52.723+09:002012-05-06T16:58:52.723+09:00Thank you for your comment.
You can find a pdf fro...Thank you for your comment.<br />You can find a pdf from:<br /><br />http://www-ics.acs.i.kyoto-u.ac.jp/~nagahara/jst2_e.htmlMasaaki Nagaharahttp://www.blogger.com/profile/01677531634711698554noreply@blogger.comtag:blogger.com,1999:blog-6068554977761810119.post-71773500988845449462012-05-06T16:27:21.212+09:002012-05-06T16:27:21.212+09:00Are there pdf of paper available in arxiv or other...Are there pdf of paper available in arxiv or other open access?mirror2imagehttp://mirror2image.wordpress.com/noreply@blogger.comtag:blogger.com,1999:blog-6068554977761810119.post-13370126645809958352012-05-06T11:51:09.810+09:002012-05-06T11:51:09.810+09:00Thomas,
Thank you for the paper.
Yes, exactly. Th...Thomas,<br /><br />Thank you for the paper.<br />Yes, exactly. The infinity norm is used in the fidelity constraint in the Dantzig selector, which is different from the work Igor pointed out (see above).<br />That's yet another interesting thing!<br /><br />Best regardsMasaaki Nagaharahttp://www.blogger.com/profile/01677531634711698554noreply@blogger.comtag:blogger.com,1999:blog-6068554977761810119.post-65882351818957351452012-05-06T11:44:12.648+09:002012-05-06T11:44:12.648+09:00Thanks so much!
IEEE TSP RSS feed is a nice tool.Thanks so much!<br />IEEE TSP RSS feed is a nice tool.Masaaki Nagaharahttp://www.blogger.com/profile/01677531634711698554noreply@blogger.comtag:blogger.com,1999:blog-6068554977761810119.post-48598308195359605742012-05-06T11:43:00.629+09:002012-05-06T11:43:00.629+09:00Mahesh,
Thanks for pointing that out.
Dantzig sel...Mahesh,<br /><br />Thanks for pointing that out.<br />Dantzig selector should be an interesting thing to consider the link.<br />I also hope your work is completed and published.<br /><br />Best regards,Masaaki Nagaharahttp://www.blogger.com/profile/01677531634711698554noreply@blogger.comtag:blogger.com,1999:blog-6068554977761810119.post-7041579783850013742012-05-06T06:49:20.392+09:002012-05-06T06:49:20.392+09:00The L-infinity norm is also seen in the Dantzig se...The L-infinity norm is also seen in the Dantzig selector which can be used for reconstruction in compressed sensing: http://www-stat.stanford.edu/~candes/papers/DantzigSelector.pdf. <br />Here, the infinity norm is, however, used in the "fidelity constraint" measuring consistency with the compressed measurements rather than on the signal itself.Thomas Arildsenhttp://www.blogger.com/profile/00461210615375168098noreply@blogger.comtag:blogger.com,1999:blog-6068554977761810119.post-56322576547786389412012-05-06T05:50:45.903+09:002012-05-06T05:50:45.903+09:00Congratulations on the paper and thanks for the ne...Congratulations on the paper and thanks for the new contributions therein, I really enjoyed reading it (recently appeared on my IEEE TSP RSS feed)! :)Mahesh Shastryhttp://www.blogger.com/profile/05230311759132897035noreply@blogger.comtag:blogger.com,1999:blog-6068554977761810119.post-36608895957392591412012-05-06T05:45:47.680+09:002012-05-06T05:45:47.680+09:00Yep, more connections indeed! There's also inf...Yep, more connections indeed! There's also infinity norm appearing in the Dantzig selector. Dual formulations of the l-1 convex optimization problem also feature infinity norms. The duality comes from the relationship, if you have p-norm and q-norm, duality is when: 1/p + 1/q = 1 . put p= 1, 0 = 1/q, etc. I am also working on using the uniform norm in certain contexts in the application of sparse signal processing. I am working on the manuscript which is we hope to complete asap.Mahesh Shastryhttp://www.blogger.com/profile/05230311759132897035noreply@blogger.comtag:blogger.com,1999:blog-6068554977761810119.post-68296908448073390982012-05-06T02:50:56.883+09:002012-05-06T02:50:56.883+09:00Igor,
Thanks so much for a nice comment.
I think ...Igor,<br /><br />Thanks so much for a nice comment.<br />I think I could find a link between 0 and infinity norms in your blog entries.<br />I also remembered that L-1 is the dual vector space of L-infinity. This may be another link.<br /><br />Best regards,<br />MasaakiMasaaki Nagaharahttp://www.blogger.com/profile/01677531634711698554noreply@blogger.com