There are two main categories of associative memories. ![]() Formally speaking, y k= M( x k) and x k= M( y k) (let us stress that M is direction free (say, a correlation matrix) and thus the mechanisms of recall are realized in any direction. Associative recall is direction-free, meaning that the memory should be able to recall x k given y k and vice-versa: y k is recalled in the presence of x k. Next, an associative recall retrieves the missing item in the pair. Formally speaking, given a collection of associations-pairs of linked (associated) data ( x k, y k), k=1, 2, …, N (with x k and y k being vectors in n- and p-dimensional Euclidean space, respectively), these pairs are stored in an associative fashion in a certain memory (mapping). In contrast to random access memories (where an item is obtained through its address), associative memories are content-addressable. The essence of recall is that in associative memories associative recall (retrieval) produces a pattern associated with input data. Experimental results are provided along with a comparative study involving correlation-based associative memories.Īssociative memories are architectures aimed at storing and recalling associations among patterns (data). Furthermore we discuss an optimization of the distance function used in the clustering algorithm realized with regard to the recall error. The recall error is discussed with regard to the essential parameters of the FCM (the number of clusters and the fuzzification coefficient). In the setting of associative memories, Fuzzy C-Means (FCM) is studied. Two recall proposals are studied: one involves prototypes (being the key descriptors of the structure of the data) and their activation in the presence of partially available data to be recalled whereas the second proposal involves fuzzy correlation matrices and in principle exhibits some resemblance with a standard correlation associative memories. Fuzzy clustering being direction-free comes here as a sound design alternative. Associative memories are inherently direction-free structures (and the recall of objects can be realized for any variable or a subset of variables). ![]() In this study, we discuss a design of fuzzy associative structures (memories) realized within the framework of fuzzy clustering.
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