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AUTM Flow: Atomic Unrestricted Time Machine for Monotonic Normalizing Flows. (arXiv:2206.02102v1 [cs.LG])
June 7, 2022, 1:13 a.m. | Difeng Cai, Yuliang Ji, Huan He, Qiang Ye, Yuanzhe Xi
cs.CV updates on arXiv.org arxiv.org
Nonlinear monotone transformations are used extensively in normalizing flows
to construct invertible triangular mappings from simple distributions to
complex ones. In existing literature, monotonicity is usually enforced by
restricting function classes or model parameters and the inverse transformation
is often approximated by root-finding algorithms as a closed-form inverse is
unavailable. In this paper, we introduce a new integral-based approach termed
"Atomic Unrestricted Time Machine (AUTM)", equipped with unrestricted
integrands and easy-to-compute explicit inverse. AUTM offers a versatile and
efficient way …
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