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169,051 papers · 148 categories

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1122 · Jan 201919922001200920172026
8 results for wilderness

The family of Wilder continua in cubes of dimension > 2 and its two subfamilies-of continuum-wise Wilder continua and of hereditarily arcwise connected continua-are recognized as coanalytic absorbers in the hyperspace of subcontinua of the cubes. In particular, each of them is homeomorphic to the set of all nonempty co…

2015-12-17abs ↗pdf ↗

Robots navigate wilderness trails using virtual-to-real-world transfer learning.

problem Autonomous navigation of outdoor trails is challenging due to lack of annotated training data.
method Virtual-to-real-world transfer learning with deep learning models trained on synthetic data.
result Classification accuracies of up to 95% on synthetic data and feasibility in real-world trails.

Study homology manifolds using spectral sheaves and spectral six functor formalism.

problem Characterize and understand homology manifolds through spectral sheaves.
method Adapt six functor formalism to spectral sheaves on locally compact Hausdorff spaces.
result Prove that compact ANR homology manifolds are Poincaré duality complexes.

Let CC and DD be a pair of crumpled nn-cubes and hh a homeomorphism of Bd C\text{Bd }C to Bd D\text{Bd }D for which there exists a map fh:CDf_h: C\to D such that fhBd C=hf_h|\text{Bd }C =h and fh1(Bd D)=Bd Cf_{h}^{-1}(\text{Bd }D)=\text{Bd }C. In our view the presence of such a triple (C,D,h)(C,D,h) suggests that CC is "at least as wild as" $D…

2014-11-10abs ↗pdf ↗

We invoke a Gaussian mixture model (GMM) to jointly analyse two traditional emission-line classification schemes of galaxy ionization sources: the Baldwin-Phillips-Terlevich (BPT) and WHα\rm W_{Hα} vs. [NII]/Hαα (WHAN) diagrams, using spectroscopic data from the Sloan Digital Sky Survey Data Release 7 and SEAGal/STARLI…

2017-03-22abs ↗pdf ↗