
Home  Forums  Rules  Articles  The diyAudio Store  Gallery  Blogs  Register  Donations  FAQ  Calendar  Search  Today's Posts  Mark Forums Read  Search 
The Lounge A place to talk about almost anything but politics and religion. 

Please consider donating to help us continue to serve you.
Ads on/off / Custom Title / More PMs / More album space / Advanced printing & mass image saving 

Thread Tools  Search this Thread 
8th September 2010, 05:20 PM  #1 
diyAudio Member
Join Date: Dec 2005
Location: west lafayette

Mathematical background for theory of hierarchicalmemory feedback systems
I just finished Jeff Hawkin's work, On Intelligence. In it, he discusses a theoretical model of the human brain which uses a "folded feedback" system to create invariant representations of the world. He refers to it as a "hierarchicalmemory" system which analyzes sequences of sequences, rather than data at the highest level.
I am interested in learning more about the behavior of such systems. I understand the complexity of such a system would be enormous, but the implications for such a system are even greater. I am also interested in mathematical evolution (ex. Genetic algorithms). Genetic algorithms border on chaos and little is known about their behavior. A "foldedfeedback" system similar to what Hawkins has proposed could search for patterns in the chaos of evolution and dynamically adjust the mutation operators, crossover functions, inheritance functions, and fitness functions to optimize the evolutionary process. An invariant representation of the global optimal solution could greatly enhance the usefulness of genetic algorithms. A shroud of mysticism with regards to these systems pervades my mind. I am only capable of a primitive qualitative understanding of such systems at this moment. What topics of mathematics would I have to be fluent in to truly understand the theory quantitatively? I understand how ridiculous this may sound, but I am genuinely interested in the topic.
__________________
"It is a profound and necessary truth that the deep things in science are not found because they are useful; they are found because it was possible to find them." 
8th September 2010, 05:34 PM  #2 
diyAudio Member

If you want a topic that relates to audio check out genetic algorithms for designing IIR digital filters. It surprised me that some very simple problems have no closed form solution.
__________________
"The question of who is right and who is wrong has seemed to me always too small to be worth a moment's thought, while the question of what is right and what is wrong has seemed allimportant." 
8th September 2010, 06:00 PM  #3  
diyAudio Member
Join Date: Dec 2005
Location: west lafayette

Quote:
Also, please note that this is not an attempt to model the human brain, but rather a desire to create a mathematical model (which could be implemented in software) which is qualitatively similar to the type of system proposed by Hawkins. What field of mathematics would be appropriate to analyze nested sequences of sequences of sequences? Chaos theory? Something else?
__________________
"It is a profound and necessary truth that the deep things in science are not found because they are useful; they are found because it was possible to find them." Last edited by thadman; 8th September 2010 at 06:09 PM. 

9th September 2010, 01:12 AM  #4  
diyAudio Member
Join Date: Sep 2007
Location: Hangzhou  Marco Polo's 'most beautiful city'. 700yrs is a long time though...
Blog Entries: 130

Quote:
Hubert Dreyfus's "Intelligence Without Representation"
__________________
Most people take the limits of their vision to be the limits of the world.  Schopenhauer 

Thread Tools  Search this Thread 


Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
The Twin Negative FeedBack Theory  Stee  Solid State  14  31st August 2008 06:30 AM 
Interpertaion of line array theory and how this is being applied to sound systems  John MacBain  MultiWay  0  22nd December 2003 10:30 PM 
can you buy preassembled servo feedback systems for subwoofers?  pkgum  Subwoofers  26  21st December 2001 03:33 AM 
New To Site?  Need Help? 