15 citations · 26 across the 7 of their papers we have counts for
7 papers
Sequential non-determinism in tile self-assembly: a general framework and an application to efficient temperature-1 self-assembly of squares
David Furcy, Scott M. Summers
In this paper, we work in a 2D version of the probabilistic variant of Winfree's abstract Tile Assembly Model defined by Chandran, Gopalkrishnan and Reif (SICOMP 2012) in which att…
Improved lower and upper bounds on the tile complexity of uniquely self-assembling a thin rectangle non-cooperatively in 3D
David Furcy, Scott M. Summers, Logan Withers
We investigate a fundamental question regarding a benchmark class of shapes in one of the simplest, yet most widely utilized abstract models of algorithmic tile self-assembly. Spec…
Model-Aided Wireless Artificial Intelligence: Embedding Expert Knowledge in Deep Neural Networks Towards Wireless Systems Optimization
Alessio Zappone, Marco Di Renzo, Mérouane Debbah +2
Deep learning based on artificial neural networks is a powerful machine learning method that, in the last few years, has been successfully used to realize tasks, e.g., image classi…
Optimal self-assembly of finite shapes at temperature 1 in 3D
David Furcy, Scott M. Summers
Working in a three-dimensional variant of Winfree's abstract Tile Assembly Model, we show that, for an arbitrary finite, connected shape , there is a tile s…
Scaled tree fractals do not strictly self-assemble
Kimberly Barth, David Furcy, Scott M. Summers +1
In this paper, we show that any scaled-up version of any discrete self-similar {\it tree} fractal does not strictly self-assemble, at any temperature, in Winfree's abstract Tile As…
Optimal program-size complexity for self-assembly at temperature 1 in 3D
David Furcy, Samuel Micka, Scott M. Summers
Working in a three-dimensional variant of Winfree's abstract Tile Assembly Model, we show that, for all , there is a tile set that uniquely self-assembles into an…
Scaled pier fractals do not strictly self-assemble
David Furcy, Scott M. Summers
A \emph{pier fractal} is a discrete self-similar fractal whose generator contains at least one \emph{pier}, that is, a member of the generator with exactly one adjacent point. Tree…