Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Principal Component Analysis of collective flow in Relativistic
  Heavy-Ion Collisions   In this paper, we implement Principal Component Analysis (PCA) to study the
single particle distributions generated from thousands of {\tt VISH2+1}
hydrodynamic simulations with an aim to explore if a machine could directly
discover flow from the huge amount of data without explicit instructions from
human-beings. We found that the obtained PCA eigenvectors are similar to but
not identical with the traditional Fourier bases. Correspondingly, the PCA
defined flow harmonics $v_n^\prime$ are also similar to the traditional $v_n$
for $n=2$ and 3, but largely deviated from the Fourier ones for $n\geq 4$. A
further study on the symmetric cumulants and the Pearson coefficients indicates
that mode-coupling effects are reduced for these flow harmonics defined by PCA.

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The categories of this paper are: cmp-lg
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The categories of this paper are: acc-phys
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The categories of this paper are: q-alg
2
The categories of this paper are: math
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The categories of this paper are: econ
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The categories of this paper are: solv-int
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The categories of this paper are: q-fin
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The categories of this paper are: adap-org
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The categories of this paper are: supr-con
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The categories of this paper are: ao-sci
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The categories of this paper are: stat
3
The categories of this paper are: physics
10
The categories of this paper are: q-bio
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The categories of this paper are: mtrl-th
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The categories of this paper are: bayes-an
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The categories of this paper are: hep-ex