tag:blogger.com,1999:blog-49883536646729632792009-03-01T01:19:40.819-08:00The InformationInformation Geometry,
Information Dynamics,
Theoretical Physics,
Theoretical Neuroscience, and CyberneticsNicholas Wisniewskihttp://www.blogger.com/profile/02421390981701008244noreply@blogger.comBlogger33125tag:blogger.com,1999:blog-4988353664672963279.post-53602290328435022892008-10-15T12:21:00.000-07:002008-10-15T12:21:35.574-07:00S.-I. Amari, O. E. Barndorff-Nielsen, R. E. Kass, S. L. Lauritzen, and C. R. Rao Differential geometry in statistical inference: (Hayward, CA: Institute of Mathematical Statistics, 1987)<a href="http://projecteuclid.org/DPubS?service=UI&version=1.0&verb=Display&handle=euclid.lnms/1215467056">S.-I. Amari, O. E. Barndorff-Nielsen, R. E. Kass, S. L. Lauritzen, and C. R. Rao Differential geometry in statistical inference: (Hayward, CA: Institute of Mathematical Statistics, 1987)</a><div class="blogger-post-footer"><img width='1' height='1' src='https://blogger.googleusercontent.com/tracker/4988353664672963279-5360229032843502289?l=information-geometry.blogspot.com'/></div>Nicholas Wisniewskihttp://www.blogger.com/profile/02421390981701008244noreply@blogger.com0tag:blogger.com,1999:blog-4988353664672963279.post-23614855164629049922008-10-15T12:09:00.000-07:002008-10-15T12:09:56.168-07:00Chapter 5: Differential Metrics in Probability Spaces<a href="http://projecteuclid.org/DPubS?verb=Display&version=1.0&service=UI&handle=euclid.lnms/1215467062&page=record">Chapter 5: Differential Metrics in Probability Spaces CR. Rao<br /></a><div class="blogger-post-footer"><img width='1' height='1' src='https://blogger.googleusercontent.com/tracker/4988353664672963279-2361485516462904992?l=information-geometry.blogspot.com'/></div>Nicholas Wisniewskihttp://www.blogger.com/profile/02421390981701008244noreply@blogger.com0tag:blogger.com,1999:blog-4988353664672963279.post-28618725275353064622008-09-24T15:51:00.000-07:002008-09-24T15:51:12.591-07:00Log-Euclidean metrics for fast and simple calculus on diffusion tensors<a href="http://www3.interscience.wiley.com/journal/112658077/abstract?CRETRY=1&SRETRY=0">Wiley InterScience :: JOURNALS :: Magnetic Resonance in Medicine</a><div class="blogger-post-footer"><img width='1' height='1' src='https://blogger.googleusercontent.com/tracker/4988353664672963279-2861872527535306462?l=information-geometry.blogspot.com'/></div>Nicholas Wisniewskihttp://www.blogger.com/profile/02421390981701008244noreply@blogger.com0tag:blogger.com,1999:blog-4988353664672963279.post-9259985123574589092008-09-18T11:33:00.000-07:002008-09-18T11:33:38.106-07:00Computing Geodesics<a href="http://www3.sympatico.ca/seraphan/fact/geodesic.html#_BasicAlgorithm">Computing Geodesics via finite difference method<br /></a><div class="blogger-post-footer"><img width='1' height='1' src='https://blogger.googleusercontent.com/tracker/4988353664672963279-925998512357458909?l=information-geometry.blogspot.com'/></div>Nicholas Wisniewskihttp://www.blogger.com/profile/02421390981701008244noreply@blogger.com0tag:blogger.com,1999:blog-4988353664672963279.post-16031469913716214112008-08-04T09:12:00.000-07:002008-08-04T09:12:01.387-07:00Publications by Gordon Kindlmann<a href="http://lmi.bwh.harvard.edu/papers/kindlmann.html">LMI : Papers : Publications by Gordon Kindlmann</a><div class="blogger-post-footer"><img width='1' height='1' src='https://blogger.googleusercontent.com/tracker/4988353664672963279-1603146991371621411?l=information-geometry.blogspot.com'/></div>Nicholas Wisniewskihttp://www.blogger.com/profile/02421390981701008244noreply@blogger.com0tag:blogger.com,1999:blog-4988353664672963279.post-33263217865100052792008-08-04T09:03:00.000-07:002008-08-04T09:03:11.291-07:00Riemannian geometry for the statistical analysis of diffusion tensor data<a href="http://www.sciencedirect.com/science?_ob=ArticleURL&_udi=B6V18-4K8YD6W-1&_user=4423&_rdoc=1&_fmt=&_orig=search&_sort=d&view=c&_version=1&_urlVersion=0&_userid=4423&md5=08c06f456e97dfa6cab21b3c4e165e9f">ScienceDirect - Signal Processing : Riemannian geometry for the statistical analysis of diffusion tensor data</a><div class="blogger-post-footer"><img width='1' height='1' src='https://blogger.googleusercontent.com/tracker/4988353664672963279-3326321786510005279?l=information-geometry.blogspot.com'/></div>Nicholas Wisniewskihttp://www.blogger.com/profile/02421390981701008244noreply@blogger.com0tag:blogger.com,1999:blog-4988353664672963279.post-90827735723828460152008-08-03T06:31:00.000-07:002008-08-03T06:31:44.648-07:00Riemannian geometry for the statistical analysis of diffusion tensor data<a href="http://portal.acm.org/citation.cfm?id=1219320">Riemannian geometry for the statistical analysis of diffusion tensor data</a><div class="blogger-post-footer"><img width='1' height='1' src='https://blogger.googleusercontent.com/tracker/4988353664672963279-9082773572382846015?l=information-geometry.blogspot.com'/></div>Nicholas Wisniewskihttp://www.blogger.com/profile/02421390981701008244noreply@blogger.com0tag:blogger.com,1999:blog-4988353664672963279.post-7753974959671401252008-08-02T14:11:00.000-07:002008-08-02T14:11:39.312-07:00A Rigorous Framework for Diffusion Tensor Calculus<a href="http://www3.interscience.wiley.com/journal/109860141/abstract?CRETRY=1&SRETRY=0">Wiley InterScience :: JOURNALS :: Magnetic Resonance in Medicine</a><div class="blogger-post-footer"><img width='1' height='1' src='https://blogger.googleusercontent.com/tracker/4988353664672963279-775397495967140125?l=information-geometry.blogspot.com'/></div>Nicholas Wisniewskihttp://www.blogger.com/profile/02421390981701008244noreply@blogger.com0tag:blogger.com,1999:blog-4988353664672963279.post-44633995893831543922008-08-02T13:34:00.000-07:002008-08-02T13:34:19.802-07:00A Riemannian Framework for the Processing of Tensor-Valued Images<a href="http://www.springerlink.com/content/y332715230958266/">SpringerLink - Book Chapter</a><div class="blogger-post-footer"><img width='1' height='1' src='https://blogger.googleusercontent.com/tracker/4988353664672963279-4463399589383154392?l=information-geometry.blogspot.com'/></div>Nicholas Wisniewskihttp://www.blogger.com/profile/02421390981701008244noreply@blogger.com0tag:blogger.com,1999:blog-4988353664672963279.post-90534606083985299172008-08-02T13:28:00.000-07:002008-08-02T13:28:31.245-07:00Statistics on the Maniforld of Multivariate Normal Distributions: Theory and Application to Diffusion Tensor MRI Processing<a href="http://www.springerlink.com/content/v3856n72r2qrlx12/">SpringerLink - Journal Article</a><div class="blogger-post-footer"><img width='1' height='1' src='https://blogger.googleusercontent.com/tracker/4988353664672963279-9053460608398529917?l=information-geometry.blogspot.com'/></div>Nicholas Wisniewskihttp://www.blogger.com/profile/02421390981701008244noreply@blogger.com0tag:blogger.com,1999:blog-4988353664672963279.post-42334139579866930282008-08-02T13:02:00.000-07:002008-08-02T13:02:45.434-07:00Geodesic-Loxodromes for Diffusion Tensor Interpolation and Difference Measurement<a href="http://lmi.bwh.harvard.edu/papers/papers/kindlmannMICCAI07.html">Geodesic-Loxodromes for Diffusion Tensor Interpolation and Difference Measurement</a><div class="blogger-post-footer"><img width='1' height='1' src='https://blogger.googleusercontent.com/tracker/4988353664672963279-4233413957986693028?l=information-geometry.blogspot.com'/></div>Nicholas Wisniewskihttp://www.blogger.com/profile/02421390981701008244noreply@blogger.com0tag:blogger.com,1999:blog-4988353664672963279.post-35722562728741410262008-01-01T03:25:00.000-08:002008-01-01T03:25:34.272-08:00[gr-qc/0508108] The Information Geometry of Space and Time<a href="http://arxiv.org/abs/gr-qc/0508108">[gr-qc/0508108] The Information Geometry of Space and Time</a><div class="blogger-post-footer"><img width='1' height='1' src='https://blogger.googleusercontent.com/tracker/4988353664672963279-3572256272874141026?l=information-geometry.blogspot.com'/></div>Nicholas Wisniewskihttp://www.blogger.com/profile/02421390981701008244noreply@blogger.com0tag:blogger.com,1999:blog-4988353664672963279.post-43570401825219251002008-01-01T03:23:00.000-08:002008-01-01T03:23:30.499-08:00ScienceDirect - International Congress Series : Information geometry of multilayer perceptron<a href="http://www.sciencedirect.com/science?_ob=ArticleURL&_udi=B7581-4D338VC-2&_user=10&_rdoc=1&_fmt=&_orig=search&_sort=d&view=c&_acct=C000050221&_version=1&_urlVersion=0&_userid=10&md5=a0d7d5b96949fa315b5e81f978c53948">ScienceDirect - International Congress Series : Information geometry of multilayer perceptron</a><div class="blogger-post-footer"><img width='1' height='1' src='https://blogger.googleusercontent.com/tracker/4988353664672963279-4357040182521925100?l=information-geometry.blogspot.com'/></div>Nicholas Wisniewskihttp://www.blogger.com/profile/02421390981701008244noreply@blogger.com0tag:blogger.com,1999:blog-4988353664672963279.post-85546427865061673432008-01-01T03:19:00.000-08:002008-01-01T03:19:43.996-08:00MIMS EPrints - 2005.49: Topics in Information Geometry<a href="http://eprints.ma.man.ac.uk/131/">MIMS EPrints - 2005.49: Topics in Information Geometry</a><div class="blogger-post-footer"><img width='1' height='1' src='https://blogger.googleusercontent.com/tracker/4988353664672963279-8554642786506167343?l=information-geometry.blogspot.com'/></div>Nicholas Wisniewskihttp://www.blogger.com/profile/02421390981701008244noreply@blogger.com0tag:blogger.com,1999:blog-4988353664672963279.post-36209325359656413852008-01-01T03:18:00.000-08:002008-01-01T03:18:28.151-08:00Information Geometry<a href="http://videolectures.net/mlss05us_dasgupta_ig/">Information Geometry</a><div class="blogger-post-footer"><img width='1' height='1' src='https://blogger.googleusercontent.com/tracker/4988353664672963279-3620932535965641385?l=information-geometry.blogspot.com'/></div>Nicholas Wisniewskihttp://www.blogger.com/profile/02421390981701008244noreply@blogger.com0tag:blogger.com,1999:blog-4988353664672963279.post-36117802900857539482008-01-01T03:15:00.000-08:002008-01-01T03:15:25.609-08:00[quant-ph/0409088] A Random Matrix Model of Adiabatic Quantum Computing<a href="http://arxiv.org/abs/quant-ph/0409088">[quant-ph/0409088] A Random Matrix Model of Adiabatic Quantum Computing</a><div class="blogger-post-footer"><img width='1' height='1' src='https://blogger.googleusercontent.com/tracker/4988353664672963279-3611780290085753948?l=information-geometry.blogspot.com'/></div>Nicholas Wisniewskihttp://www.blogger.com/profile/02421390981701008244noreply@blogger.com0tag:blogger.com,1999:blog-4988353664672963279.post-75079840361492610622008-01-01T03:14:00.000-08:002008-01-01T03:14:20.096-08:00[gr-qc/0407090] Black holes conserve information in curved-space quantum field theory<a href="http://arxiv.org/abs/gr-qc/0407090">[gr-qc/0407090] Black holes conserve information in curved-space quantum field theory</a><div class="blogger-post-footer"><img width='1' height='1' src='https://blogger.googleusercontent.com/tracker/4988353664672963279-7507984036149261062?l=information-geometry.blogspot.com'/></div>Nicholas Wisniewskihttp://www.blogger.com/profile/02421390981701008244noreply@blogger.com0tag:blogger.com,1999:blog-4988353664672963279.post-71054739732728507752008-01-01T03:13:00.000-08:002008-01-01T03:13:45.044-08:00[quant-ph/0302095] Entangled Light in Moving Frames<a href="http://arxiv.org/abs/quant-ph/0302095">[quant-ph/0302095] Entangled Light in Moving Frames</a><div class="blogger-post-footer"><img width='1' height='1' src='https://blogger.googleusercontent.com/tracker/4988353664672963279-7105473973272850775?l=information-geometry.blogspot.com'/></div>Nicholas Wisniewskihttp://www.blogger.com/profile/02421390981701008244noreply@blogger.com0tag:blogger.com,1999:blog-4988353664672963279.post-8687930399062167312008-01-01T03:12:00.000-08:002008-01-01T03:12:06.869-08:00[quant-ph/0205179] Quantum Entanglement of Moving Bodies<a href="http://arxiv.org/abs/quant-ph/0205179">[quant-ph/0205179] Quantum Entanglement of Moving Bodies</a><div class="blogger-post-footer"><img width='1' height='1' src='https://blogger.googleusercontent.com/tracker/4988353664672963279-868793039906216731?l=information-geometry.blogspot.com'/></div>Nicholas Wisniewskihttp://www.blogger.com/profile/02421390981701008244noreply@blogger.com0tag:blogger.com,1999:blog-4988353664672963279.post-49836862061759001252008-01-01T03:11:00.001-08:002008-01-01T03:11:34.993-08:00[quant-ph/9904006] Prolegomena to a non-equilibrium quantum statistical mechanics<a href="http://arxiv.org/abs/quant-ph/9904006">[quant-ph/9904006] Prolegomena to a non-equilibrium quantum statistical mechanics</a><div class="blogger-post-footer"><img width='1' height='1' src='https://blogger.googleusercontent.com/tracker/4988353664672963279-4983686206175900125?l=information-geometry.blogspot.com'/></div>Nicholas Wisniewskihttp://www.blogger.com/profile/02421390981701008244noreply@blogger.com0tag:blogger.com,1999:blog-4988353664672963279.post-85778019230031880752008-01-01T03:11:00.000-08:002008-01-01T03:11:02.820-08:00[quant-ph/9710001] Quantum conditional operator and a criterion for separability<a href="http://xxx.lanl.gov/abs/quant-ph/9710001">[quant-ph/9710001] Quantum conditional operator and a criterion for separability</a><div class="blogger-post-footer"><img width='1' height='1' src='https://blogger.googleusercontent.com/tracker/4988353664672963279-8577801923003188075?l=information-geometry.blogspot.com'/></div>Nicholas Wisniewskihttp://www.blogger.com/profile/02421390981701008244noreply@blogger.com0tag:blogger.com,1999:blog-4988353664672963279.post-5261817351678264322008-01-01T03:10:00.001-08:002008-01-01T03:10:30.572-08:00Phys. Rev. A 60 (1999): N. J. Cerf and C. Adami - Quantum extension of conditional...<a href="http://prola.aps.org/abstract/PRA/v60/i2/p893_1">Phys. Rev. A 60 (1999): N. J. Cerf and C. Adami - Quantum extension of conditional...</a><div class="blogger-post-footer"><img width='1' height='1' src='https://blogger.googleusercontent.com/tracker/4988353664672963279-526181735167826432?l=information-geometry.blogspot.com'/></div>Nicholas Wisniewskihttp://www.blogger.com/profile/02421390981701008244noreply@blogger.com0tag:blogger.com,1999:blog-4988353664672963279.post-14799729964420319602008-01-01T03:10:00.000-08:002008-01-01T03:10:02.901-08:00[quant-ph/9611032] Accessible information in quantum measurement<a href="http://xxx.lanl.gov/abs/quant-ph/9611032">[quant-ph/9611032] Accessible information in quantum measurement</a><div class="blogger-post-footer"><img width='1' height='1' src='https://blogger.googleusercontent.com/tracker/4988353664672963279-1479972996442031960?l=information-geometry.blogspot.com'/></div>Nicholas Wisniewskihttp://www.blogger.com/profile/02421390981701008244noreply@blogger.com0tag:blogger.com,1999:blog-4988353664672963279.post-24517530039572897772008-01-01T03:09:00.000-08:002008-01-01T03:09:41.447-08:00[quant-ph/9609024] On the von Neumann capacity of noisy quantum channels<a href="http://xxx.lanl.gov/abs/quant-ph/9609024">[quant-ph/9609024] On the von Neumann capacity of noisy quantum channels</a><div class="blogger-post-footer"><img width='1' height='1' src='https://blogger.googleusercontent.com/tracker/4988353664672963279-2451753003957289777?l=information-geometry.blogspot.com'/></div>Nicholas Wisniewskihttp://www.blogger.com/profile/02421390981701008244noreply@blogger.com0tag:blogger.com,1999:blog-4988353664672963279.post-85791646407660528212008-01-01T03:08:00.002-08:002008-01-01T03:08:57.566-08:00[quant-ph/9806047] What information theory can tell us about quantum reality<a href="http://xxx.lanl.gov/abs/quant-ph/9806047">[quant-ph/9806047] What information theory can tell us about quantum reality</a><div class="blogger-post-footer"><img width='1' height='1' src='https://blogger.googleusercontent.com/tracker/4988353664672963279-8579164640766052821?l=information-geometry.blogspot.com'/></div>Nicholas Wisniewskihttp://www.blogger.com/profile/02421390981701008244noreply@blogger.com0