Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Mathematical derivation for Vora-Value based filter design method:
  Gradient and Hessian   In this paper, we present the detailed mathematical derivation of the
gradient and Hessian matrix for the Vora-Value based colorimetric filter
optimization. We make a full recapitulation of the steps involved in
differentiating the objective function and reveal the positive-definite Hessian
matrix when a positive regularizer is applied. This paper serves as a
supplementary material for our paper in the colorimetric filter design theory.

17
The categories of this paper are: q-fin
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The categories of this paper are: acc-phys
35
The categories of this paper are: mtrl-th
30
The categories of this paper are: q-alg
0
The categories of this paper are: hep-ph
31
The categories of this paper are: ao-sci
12
The categories of this paper are: nucl-th
36
The categories of this paper are: cmp-lg
11
The categories of this paper are: hep-lat
8
The categories of this paper are: hep-ex
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The categories of this paper are: dg-ga
4
The categories of this paper are: cond-mat
25
The categories of this paper are: patt-sol
10
The categories of this paper are: q-bio
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The categories of this paper are: adap-org
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The categories of this paper are: atom-ph