Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Second-order Online Nonconvex Optimization   We present the online Newton's method, a single-step second-order method for
online nonconvex optimization. We analyze its performance and obtain a dynamic
regret bound that is linear in the cumulative variation between round optima.
We show that if the variation between round optima is limited, the method leads
to a constant regret bound. In the general case, the online Newton's method
outperforms online convex optimization algorithms for convex functions and
performs similarly to a specialized algorithm for strongly convex functions. We
simulate the performance of the online Newton's method on a nonlinear,
nonconvex moving target localization example and find that it outperforms a
first-order approach.

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The categories of this paper are: eess
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The categories of this paper are: chem-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: ao-sci
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The categories of this paper are: solv-int
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The categories of this paper are: comp-gas
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The categories of this paper are: physics
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The categories of this paper are: q-alg
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The categories of this paper are: dg-ga
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The categories of this paper are: hep-ph
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The categories of this paper are: stat
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The categories of this paper are: hep-th
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The categories of this paper are: gr-qc
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The categories of this paper are: q-fin
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The categories of this paper are: supr-con
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The categories of this paper are: mtrl-th