3,473 research outputs found
Reversible GANs for Memory-efficient Image-to-Image Translation
The Pix2pix and CycleGAN losses have vastly improved the qualitative and
quantitative visual quality of results in image-to-image translation tasks. We
extend this framework by exploring approximately invertible architectures which
are well suited to these losses. These architectures are approximately
invertible by design and thus partially satisfy cycle-consistency before
training even begins. Furthermore, since invertible architectures have constant
memory complexity in depth, these models can be built arbitrarily deep. We are
able to demonstrate superior quantitative output on the Cityscapes and Maps
datasets at near constant memory budget
The motivic fundamental group of the projective line minus three points and the theorem of Siegel
In this paper, we establish a link between the structure theory of the
pro-unipotent motivic fundamental group of the projective line minus three
points and Diophantine geometry. In particular, we give a p-adic proof of
Siegel's theorem
The circular SiZer, inferred persistence of shape parameters and application to early stem cell differentiation
We generalize the SiZer of Chaudhuri and Marron (J. Amer. Statist. Assoc. 94
(1999) 807-823, Ann. Statist. 28 (2000) 408-428) for the detection of shape
parameters of densities on the real line to the case of circular data. It turns
out that only the wrapped Gaussian kernel gives a symmetric, strongly Lipschitz
semi-group satisfying "circular" causality, that is, not introducing possibly
artificial modes with increasing levels of smoothing. Some notable differences
between Euclidean and circular scale space theory are highlighted. Based on
this, we provide an asymptotic theory to make inference about the persistence
of shape features. The resulting circular mode persistence diagram is applied
to the analysis of early mechanically-induced differentiation in adult human
stem cells from their actin-myosin filament structure. As a consequence, the
circular SiZer based on the wrapped Gaussian kernel (WiZer) allows the
verification at a controlled error level of the observation reported by Zemel
et al. (Nat. Phys. 6 (2010) 468-473): Within early stem cell differentiation,
polarizations of stem cells exhibit preferred directions in three different
micro-environments.Comment: Published at http://dx.doi.org/10.3150/15-BEJ722 in the Bernoulli
(http://isi.cbs.nl/bernoulli/) by the International Statistical
Institute/Bernoulli Society (http://isi.cbs.nl/BS/bshome.htm
Quantitative testing semantics for non-interleaving
This paper presents a non-interleaving denotational semantics for the
?-calculus. The basic idea is to define a notion of test where the outcome is
not only whether a given process passes a given test, but also in how many
different ways it can pass it. More abstractly, the set of possible outcomes
for tests forms a semiring, and the set of process interpretations appears as a
module over this semiring, in which basic syntactic constructs are affine
operators. This notion of test leads to a trace semantics in which traces are
partial orders, in the style of Mazurkiewicz traces, extended with readiness
information. Our construction has standard may- and must-testing as special
cases
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