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Matroid prophet inequalities
Consider a gambler who observes a sequence of independent, non-negative random
numbers and is allowed to stop the sequence at any time, claiming a reward equal to the …
numbers and is allowed to stop the sequence at any time, claiming a reward equal to the …
Neurosymbolic Programming in Scallop: Principles and Practice
Neurosymbolic programming combines the otherwise complementary worlds of deep
learning and symbolic reasoning. It thereby enables more accurate, interpretable, and …
learning and symbolic reasoning. It thereby enables more accurate, interpretable, and …
An introduction to tile-based self-assembly and a survey of recent results
MJ Patitz - Natural Computing, 2014 - Springer
We first give an introduction to the field of tile-based self-assembly, focusing primarily on
theoretical models and their algorithmic nature. We start with a description of Winfree's …
theoretical models and their algorithmic nature. We start with a description of Winfree's …
Theory of algorithmic self-assembly
D Doty - Communications of the ACM, 2012 - dl.acm.org
Theory of algorithmic self-assembly Page 1 78 communications of the acm | december 2012 |
vol. 55 | no. 12 review articles PHO T O g RAPH B Y ZUBEIR TAI seLF-asseMBLY is the process …
vol. 55 | no. 12 review articles PHO T O g RAPH B Y ZUBEIR TAI seLF-asseMBLY is the process …
The tile assembly model is intrinsically universal
We prove that the abstract Tile Assembly Model (aTAM) of nanoscale self-assembly is
intrinsically universal. This means that there is a single tile assembly system U that, with …
intrinsically universal. This means that there is a single tile assembly system U that, with …
Matroid prophet inequalities and applications to multi-dimensional mechanism design
Consider a gambler who observes a sequence of independent random numbers and is
allowed to stop at any time, claiming reward equal to the most recent observation. The …
allowed to stop at any time, claiming reward equal to the most recent observation. The …
Temperature 1 self-assembly: Deterministic assembly in 3D and probabilistic assembly in 2D
We investigate the power of the Wang tile self-assembly model at temperature 1, a threshold
value that permits attachment between any two tiles that share even a single bond. When …
value that permits attachment between any two tiles that share even a single bond. When …
Inclusion–exclusion principle for open quantum systems with bosonic bath
We present two fast algorithms which apply inclusion–exclusion principle to sum over the
bosonic diagrams in bare diagrammatic quantum Monte Carlo and inchworm Monte Carlo …
bosonic diagrams in bare diagrammatic quantum Monte Carlo and inchworm Monte Carlo …
Self-assembly with geometric tiles
In this work we propose a generalization of Winfree's abstract Tile Assembly Model (aTAM)
in which tile types are assigned rigid shapes, or geometries, along each tile face. We …
in which tile types are assigned rigid shapes, or geometries, along each tile face. We …
Randomized self-assembly for exact shapes
D Doty - SIAM Journal on Computing, 2010 - SIAM
Working in Winfree's abstract tile assembly model, we show that a constant-sized tile
assembly system can be programmed through relative tile concentrations to build an n*n …
assembly system can be programmed through relative tile concentrations to build an n*n …