Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stable Memory Allocation in the Hippocampus: Fundamental Limits and
  Neural Realization   It is believed that hippocampus functions as a memory allocator in brain, the
mechanism of which remains unrevealed. In Valiant's neuroidal model, the
hippocampus was described as a randomly connected graph, the computation on
which maps input to a set of activated neuroids with stable size. Valiant
proposed three requirements for the hippocampal circuit to become a stable
memory allocator (SMA): stability, continuity and orthogonality. The
functionality of SMA in hippocampus is essential in further computation within
cortex, according to Valiant's model.
  In this paper, we put these requirements for memorization functions into
rigorous mathematical formulation and introduce the concept of capacity, based
on the probability of erroneous allocation. We prove fundamental limits for the
capacity and error probability of SMA, in both data-independent and
data-dependent settings. We also establish an example of stable memory
allocator that can be implemented via neuroidal circuits. Both theoretical
bounds and simulation results show that the neural SMA functions well.

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The categories of this paper are: mtrl-th
13
The categories of this paper are: quant-ph
11
The categories of this paper are: hep-lat
25
The categories of this paper are: patt-sol
2
The categories of this paper are: math
17
The categories of this paper are: q-fin
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The categories of this paper are: acc-phys
10
The categories of this paper are: q-bio
8
The categories of this paper are: hep-ex
5
The categories of this paper are: gr-qc
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The categories of this paper are: chao-dyn
14
The categories of this paper are: math-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: nucl-ex
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The categories of this paper are: atom-ph
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The categories of this paper are: dg-ga