Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Exploring the Function Space of Deep-Learning Machines   The function space of deep-learning machines is investigated by studying
growth in the entropy of functions of a given error with respect to a reference
function, realized by a deep-learning machine. Using physics-inspired methods
we study both sparsely and densely-connected architectures to discover a
layer-wise convergence of candidate functions, marked by a corresponding
reduction in entropy when approaching the reference function, gain insight into
the importance of having a large number of layers, and observe phase
transitions as the error increases.

34
The categories of this paper are: chem-ph
31
The categories of this paper are: ao-sci
14
The categories of this paper are: math-ph
26
The categories of this paper are: bayes-an
23
The categories of this paper are: solv-int
2
The categories of this paper are: math
21
The categories of this paper are: adap-org
6
The categories of this paper are: astro-ph
17
The categories of this paper are: q-fin
15
The categories of this paper are: nucl-ex
8
The categories of this paper are: hep-ex
35
The categories of this paper are: mtrl-th
7
The categories of this paper are: hep-th
19
The categories of this paper are: eess
18
The categories of this paper are: econ
16
The categories of this paper are: stat