In this paper we study the complexity of the motion planning problem for control-affine systems. Such complexities are already defined and rather well-understood in the particular case of nonholonomic (or sub-Riemannian) systems. Our aim is to genera...
We formalize the concept of a family of metric spaces satisfying a coarse property uniformly and we generalize finite decomposition complexity of Erik Guentner, Romain Tessera, and Guoliang Yu. Of particular interest are results determining sufficien...
Current algorithms for context-free parsing inflict a trade-off between ease of understanding, ease of implementation, theoretical complexity, and practical performance. No algorithm achieves all of these properties simultaneously. Might et al. (20...
The initial non-repetitive complexity function of an infinite word x (first defined by Moothathu) is the function of n that counts the number of distinct factors of length n that appear at the beginning of x prior to the first repetition of a length-...
We study the complexity of the problem DETECTION PAIR. A detection pair of a graph $G$ is a pair $(W,L)$ of sets of detectors with $W\subseteq V(G)$, the watchers, and $L\subseteq V(G)$, the listeners, such that for every pair $u,v$ of vertices that...
Points: 260 | Comments: 256 | Author: ScottWRobinson
This paper investigates reduced complexity neural network (NN) based architectures for equalization over the two-dimension magnetic recording (TDMR) digital communication channel for data storage. We use realistic waveforms measured from a hard disk...
The set disjointness problem is one of the most fundamental and well-studied problems in communication complexity. In this problem Alice and Bob hold sets $S, T \subseteq [n]$, respectively, and the goal is to decide if $S \cap T = \emptyset$. Reduct...
[uncountable] the state or condition of being complex: the complexity of the human mind. [countable] something that is complex: The complexities of modern life were too much for him.
This paper is devoted to the complexity of the Boolean satisfiability problem. We consider a version of this problem, where the Boolean formula is specified in the conjunctive normal form. We prove an unexpected result that the CNF-satisfiability pro...
complexity, n. meanings, etymology, pronunciation and more in the Oxford English Dictionary
COMPLEXITY meaning: 1. the state of having many parts and being difficult to understand or find an answer to: 2. the…. Learn more.
For the last decade, Japan held the undisputed top spot in the **Economic Complexity Index (ECI)**. But according to the latest data from the OEC, the crown has officially shifted: **Taiwan is now t...
Definition of complexity noun from the Oxford Advanced Learner's Dictionary. [uncountable] the state of being formed of many parts; the state of being difficult to understand. I was astonished by the size …
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Source https://growthlab.hks.harvard.edu/news/atlas-economic-complexity-100-brings-new-data-and-product-space-design/...
It is known that, for systems of initial-value problems, algorithms using adaptive information perform much better in the worst case setting than the algorithms using nonadaptive information. In the latter case, lower and upper complexity bounds sign...
Takuya's doc is filled with so much complexity in his feats. But did he achieve his goal? Or even anything close?? No. Simple as that. Stop glazing 4D thinking and instead glaze what works. In Ta...
Heavily inspired by the pre-remastered poll done by u/Fottavio, I created a new poll on how players and GMs feel about the classes' complexity and satisfaction post-remastered. As Fottavio put it per...
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