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A lot of the statements made in this article are not strictly true under all circumstances. Thus, many of the statements made should be modified to mention the scope of circumstances that the claims are valid. IGApprentice ( talk) 06:20, 30 December 2010 (UTC)
This article is in urgent need of a total rewrite. As it exists, it is surely one of the worst in all Wikipedia. I will add it to my list, but my time is very limited. Can anyone else take a crack at it? — Aetheling ( talk) 16:31, 25 July 2011 (UTC)
I am slowly working on this, but welcome help. If no one is opposed, I will continue to remove whole sections as I re-write since the current later sections are pretty randomly organized. I know Information Geometry rather well, but this is my first wiki article, so I welcome comments and criticisms. IGApprentice ( talk) 04:31, 25 August 2011 (UTC)
I agree with these assessments, see also the remarks below under "Removing most of the material". 178.38.60.255 ( talk) 20:26, 28 November 2014 (UTC)
Any objections to removing all of the following? The comments are somewhat bizarre and unrelated to the true nature of information geometry. Furthermore, they are generally quite old and unsigned. Please make an effort to sign your posts to facilitate discussion. IGApprentice ( talk) 04:43, 25 August 2011 (UTC)
The article states:
"Intuitively, this says the distance between two points on a statistical differential manifold is the amount of information between them, i.e. the informational difference between them."
"Thus, if a point in information space represents the state of a system, then the trajectory of that point will, on average, be a random walk through information space, i.e. will diffuse according to Brownian motion."
"With this in mind, the information space can be thought of as a fitness landscape, a trajectory through this space being an "evolution". The Brownian motion of evolution trajectories thus represents the no free lunch phenomenon discussed by Stuart Kauffman"
These lines are meaningless to me. Can we replace them with something that carries meaning? The first one is indeed not intuitive; the second one introduces a system that I don't remember being described, following a path which I don't understand, and asserts an implication which is not at all obvious; and the third one goes even farther afield by making a connection to intelligent design of all things. Is it supposed to be a joke? A5 22:07, 26 April 2007 (UTC)
These are all in Amari's book, listed in the references. —Preceding unsigned comment added by 76.175.193.183 ( talk) 14:58, 11 August 2010 (UTC)
This has been taken care of. IGApprentice ( talk) 04:26, 25 August 2011 (UTC)
I plan to cut out large parts of this article; most/all of it recapitulates large parts of well-known differential geometry concepts that are well-explained in other WP articles. After cutting these out, I'll see whats left, and try to turn that into a real article. I figure someone will scream in pain about this, so scream here. I'm sure some compromise must be possible. linas ( talk) 17:11, 9 July 2012 (UTC)
I was interested in information geometry, read part of the Amari book and wanted to share the basics. I'm not an expert, though. You get the drift of what you're saying. You can probably do a better job than me. So please go ahead. Generally I think for the sake of the flow of thoughts to create the right mindset it is better to repeat the essential and in addition add a reference to the general topic. This benefits most of the people dropping by because they want to learn and thus are rather new to the topic. Roland Puntaier ( talk) 17:34, 4 December 2012 (UTC)
Hi, would someone be so kind to add some (simple) examples? — Preceding unsigned comment added by 77.109.103.69 ( talk) 10:43, 21 May 2017 (UTC)
I removed most of the material and started on a rewrite to make this more readable. It still needs a lot of work, though. I couldn't get that one paragraph to format correctly, which is due to my inexperience with Wikipedia. I'm a geometer by background, so hopefully someone with more knowledge of statistics can help with the statistical background and flesh out the applications a bit more. If need be, I can try to provide citations for where IG is used in those fields. 141.211.130.151 ( talk) 23:53, 1 April 2019 (UTC)
![]() | This article is rated C-class on Wikipedia's
content assessment scale. It is of interest to the following WikiProjects: | ||||||||||||||||||||
|
A lot of the statements made in this article are not strictly true under all circumstances. Thus, many of the statements made should be modified to mention the scope of circumstances that the claims are valid. IGApprentice ( talk) 06:20, 30 December 2010 (UTC)
This article is in urgent need of a total rewrite. As it exists, it is surely one of the worst in all Wikipedia. I will add it to my list, but my time is very limited. Can anyone else take a crack at it? — Aetheling ( talk) 16:31, 25 July 2011 (UTC)
I am slowly working on this, but welcome help. If no one is opposed, I will continue to remove whole sections as I re-write since the current later sections are pretty randomly organized. I know Information Geometry rather well, but this is my first wiki article, so I welcome comments and criticisms. IGApprentice ( talk) 04:31, 25 August 2011 (UTC)
I agree with these assessments, see also the remarks below under "Removing most of the material". 178.38.60.255 ( talk) 20:26, 28 November 2014 (UTC)
Any objections to removing all of the following? The comments are somewhat bizarre and unrelated to the true nature of information geometry. Furthermore, they are generally quite old and unsigned. Please make an effort to sign your posts to facilitate discussion. IGApprentice ( talk) 04:43, 25 August 2011 (UTC)
The article states:
"Intuitively, this says the distance between two points on a statistical differential manifold is the amount of information between them, i.e. the informational difference between them."
"Thus, if a point in information space represents the state of a system, then the trajectory of that point will, on average, be a random walk through information space, i.e. will diffuse according to Brownian motion."
"With this in mind, the information space can be thought of as a fitness landscape, a trajectory through this space being an "evolution". The Brownian motion of evolution trajectories thus represents the no free lunch phenomenon discussed by Stuart Kauffman"
These lines are meaningless to me. Can we replace them with something that carries meaning? The first one is indeed not intuitive; the second one introduces a system that I don't remember being described, following a path which I don't understand, and asserts an implication which is not at all obvious; and the third one goes even farther afield by making a connection to intelligent design of all things. Is it supposed to be a joke? A5 22:07, 26 April 2007 (UTC)
These are all in Amari's book, listed in the references. —Preceding unsigned comment added by 76.175.193.183 ( talk) 14:58, 11 August 2010 (UTC)
This has been taken care of. IGApprentice ( talk) 04:26, 25 August 2011 (UTC)
I plan to cut out large parts of this article; most/all of it recapitulates large parts of well-known differential geometry concepts that are well-explained in other WP articles. After cutting these out, I'll see whats left, and try to turn that into a real article. I figure someone will scream in pain about this, so scream here. I'm sure some compromise must be possible. linas ( talk) 17:11, 9 July 2012 (UTC)
I was interested in information geometry, read part of the Amari book and wanted to share the basics. I'm not an expert, though. You get the drift of what you're saying. You can probably do a better job than me. So please go ahead. Generally I think for the sake of the flow of thoughts to create the right mindset it is better to repeat the essential and in addition add a reference to the general topic. This benefits most of the people dropping by because they want to learn and thus are rather new to the topic. Roland Puntaier ( talk) 17:34, 4 December 2012 (UTC)
Hi, would someone be so kind to add some (simple) examples? — Preceding unsigned comment added by 77.109.103.69 ( talk) 10:43, 21 May 2017 (UTC)
I removed most of the material and started on a rewrite to make this more readable. It still needs a lot of work, though. I couldn't get that one paragraph to format correctly, which is due to my inexperience with Wikipedia. I'm a geometer by background, so hopefully someone with more knowledge of statistics can help with the statistical background and flesh out the applications a bit more. If need be, I can try to provide citations for where IG is used in those fields. 141.211.130.151 ( talk) 23:53, 1 April 2019 (UTC)