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sparse distributed memory : ウィキペディア英語版
sparse distributed memory
Sparse distributed memory (SDM) is a mathematical model of human long-term memory introduced by Pentti Kanerva in 1988 while he was at NASA Ames Research Center. It is a generalized random-access memory (RAM) for long (e.g., 1,000 bit) binary words. These words serve as both addresses to and data for the memory. The main attribute of the memory is sensitivity to similarity, meaning that a word can be read back not only by giving the original write address but also by giving one close to it, as measured by the number of mismatched bits (i.e., the Hamming distance between memory addresses).
SDM implements transformation from logical space to physical space using distributed data storing. A value corresponding to a logical address is stored into many physical addresses. This way of storing is robust and not deterministic. A memory cell is not addressed directly. If input data (logical addresses) are partially damaged at all, we can still get correct output data.〔
The theory of the memory is mathematically complete 〔 and has been verified by computer simulation. It arose from the observation that the distances between points of a high-dimensional space resemble the proximity relations between concepts in human memory. The theory is also practical in that memories based on it can be implemented with conventional RAM-memory elements.〔Flynn, Michael J., Pentti Kanerva, and Neil Bhadkamkar. "Sparse distributed memory prototype: principles and operation." (1989).〕
==Definition==
Human memory has a tendency to congregate memories based on similarities between them(although they may not be related), such as "firetrucks are red and apples are red". Sparse distributed memory is a mathematical representation of human memory, and uses high-dimensional space to help model the large amounts of memory that mimics that of the human neural network. An
important property of such high dimensional spaces is that two randomly chosen vectors are relatively far away from each other, meaning that they are uncorrelated.〔
The underlying idea behind a SDM is the mapping of a huge binary memory onto a smaller set of physical locations, so-called ''hard locations''. As a general guideline, those hard locations should be uniformely distributed in the virtual space, to mimic the existence of the larger virtual space as accurately as possible. Every datum is stored distributed by a set of hard locations, and retrieved by averaging those locations. Therefore, recall may not be perfect, accuracy depending on the saturation of the memory.
Kanerva’s proposal is based on four basic ideas:〔Mendes, Mateus Daniel Almeida. "Intelligent robot navigation using a sparse distributed memory." Phd thesis, (2010). URL: https://eg.sib.uc.pt/handle/10316/17781〕
*1. The boolean space \^n, or 2^n points in 10^0 < n < 10^5 dimensions, exhibits properties which are similar to humans’ intuitive notions of relationships between the concepts. This means that it makes sense to store data as points of the mentioned space where each memory item is stored as an n-bit vector.
*2. Neurons with n inputs can be used as address decoders of a random-access memory
*3. Unifying principle: data stored into the memory can be used as addresses to the same memory. Distance between two points is a measure of similarity between two memory items. The closer the points, the more similar the stored vectors.
*4. Time can be traced in the memory as a function of where the data are stored, if the data are organized as sequences of events

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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