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Statistics on non-crossing trees

Emeric Deutsch, Marc Noy
2002 Discrete Mathematics  
A non-crossing tree is a tree drawn on the plane having as vertices a set of points on the boundary of a circle, and whose edges are straight line segments and do not cross.  ...  Continuing previous research on non-crossing trees, we study several new statistics: number of end-points and boundary edges, number of vertices of a given degree, maximum degree, height, and path-length  ...  Introduction and preliminaries A non-crossing tree (NC-tree for short) is a tree drawn on the plane having as vertices a set of points on the boundary of a circle, and whose edges are straight line segments  ... 
doi:10.1016/s0012-365x(01)00366-1 fatcat:czinqcv5fzab3btdj27jfjdtuu

Predicting the Underlying Structure for Phylogenetic Trees Using Neural Networks and Logistic Regression

Hassan W. Kayondo, Samuel Mwalili
2020 Open Journal of Statistics  
We then performed 10-fold cross-validation on the optimal models for both logistic regression and ANN.  ...  The trees were from both structured and non-structured populations.  ...  Using simulated trees obtained under structured and non-structured populations, we used eight tree statistics for classification and clustering.  ... 
doi:10.4236/ojs.2020.102017 fatcat:vlzxpfs3mvehnedlzf7v64336u

Page 216 of Forest Science Vol. 5, Issue 3 [page]

1959 Forest Science  
For the present it appears that major emphasis should be on crosses involving the series Strobi and on a very few other crosses. Statistical reliability of the crossability data.  ...  The statistical reliability of the data on failures can be calculated in the following manner.  ... 

Machine translation using probabilistic synchronous dependency insertion grammars

Yuan Ding, Martha Palmer
2005 Proceedings of the 43rd Annual Meeting on Association for Computational Linguistics - ACL '05  
In this paper, we present a syntax-based statistical machine translation system based on a probabilistic synchronous dependency insertion grammar.  ...  Syntax-based statistical machine translation (MT) aims at applying statistical models to structured data.  ...  Conclusions and Future Work In this paper we presented a syntax-based statistical MT system based on a Synchronous Dependency Insertion Grammar and a non-isomorphic stochastic tree-to-tree transducer.  ... 
doi:10.3115/1219840.1219907 dblp:conf/acl/DingP05 fatcat:cgtnd3hzmbdl5hr6hiscat64aq

More on the three-gluon vertex in SU(2) Yang-Mills theory in three and four dimensions

Axel Maas, Milan Vujinovic
2022 SciPost Physics Core  
In three dimensions an unambiguous zero crossing for the tree-level form-factor is established, and consistency for all investigated form factors with a power-like divergence towards the infrared is observed  ...  The three-gluon vertex has been found to be a vital ingredient in non-perturbative functional approaches.  ...  The computations have been performed on the HPC clusters at the University of Graz and we are grateful for its fine operation.  ... 
doi:10.21468/scipostphyscore.5.2.019 fatcat:oirh6cua2zbrbpmykamfjkp5jm

More on the three-gluon vertex in SU(2) Yang-Mills theory in three and four dimensions [article]

Axel Maas, Milan Vujinović
2022 arXiv   pre-print
In three dimensions an unambiguous zero crossing for the tree-level form-factor is established, and consistency for all investigated form factors with a power-like divergence towards the infrared is observed  ...  The three-gluon vertex has been found to be a vital ingredient in non-perturbative functional approaches.  ...  The computations have been performed on the HPC clusters at the University of Graz and we are grateful for its fine operation.  ... 
arXiv:2006.08248v3 fatcat:poovuqhd65dfhayjra4n4iqv2y

Non-crossing dependencies: least effort, not grammar [article]

Ramon Ferrer-i-Cancho
2014 arXiv   pre-print
A hypothesis based on pressure to reduce dependency lengths is more parsimonious than a principle of minimization of crossings or a grammatical ban that is totally dissociated from the general and non-linguistic  ...  The use of null hypotheses (in a statistical sense) is common in hard sciences but not in theoretical linguistics.  ...  We consider two statistics for test test. First, C, the actual number of crossings of a dependency tree.  ... 
arXiv:1411.2645v1 fatcat:7cn6fp2w65alvmxryn6sgaf5cm

Anderson localization and ergodicity on random regular graphs

K. S. Tikhonov, A. D. Mirlin, M. A. Skvortsov
2016 Physical review B  
The problem can be described as a tight-binding model on a lattice with N sites that is locally a tree with constant connectivity.  ...  analysis highly non-trivial.  ...  Our results thus corroborate the analytical predictions of Ref. 9 on the WD level statistics and 1/N scaling of IPR [at N N c (W )] in the whole delocalized phase on tree-like structures.  ... 
doi:10.1103/physrevb.94.220203 fatcat:xmq4uleahnbehcecpxrapoluqe

Classification trees as a tool for operational avalanche forecasting on the Seward Highway, Alaska

Jordy Hendrikx, Matt Murphy, Terry Onslow
2014 Cold Regions Science and Technology  
This suite of data contains more than 4500 individual avalanche events on over 100 paths, with 20 paths seeing regular activity. We use this wealth of data to train our statistical model.  ...  Using a statistically defendable tree, we are able to forecast avalanche days that affect the road, with a remarkably high level of accuracy of 93%, using only two parameters of 72 hour storm water and  ...  ACKNOWLEDGEMENTS We would like to thank the Alaska Department of Transportation and Public Facilities, and all the people that have worked on the Seward Highway.  ... 
doi:10.1016/j.coldregions.2013.08.009 fatcat:5glg5rsegvhevntn5rpkjz7m2y

Heuristics and Parse Ranking [article]

B. Srinivas, Christine Doran and Seth Kulick, (University of Pennsylvania)
1995 arXiv   pre-print
There are currently two philosophies for building grammars and parsers -- Statistically induced grammars and Wide-coverage grammars.  ...  One way to combine the strengths of both approaches is to have a wide-coverage grammar with a heuristic component which is domain independent but whose contribution is tuned to particular domains.  ...  Individual trees are generally anchored ( ) by non-verbal lexical items that substitute or adjoin into the clausal trees.  ... 
arXiv:cmp-lg/9508010v1 fatcat:fz3zlnzaibbtrfscywrvcapopq

Performance evaluation and hyperparameter tuning of statistical and machine-learning models using spatial data [article]

Patrick Schratz, Jannes Muenchow, Eugenia Iturritxa, Jakob Richter, Alexander Brenning
2018 arXiv   pre-print
The AUROC differences between the bias-reduced (spatial cross-validation) and overoptimistic (non-spatial cross-validation) performance estimates of the GAM and RF are 0.167 (24%) and 0.213 (30%), respectively  ...  (SVM) to traditional parametric algorithms such as logistic regression (GLM) and semi-parametric ones like generalized additive models (GAM).  ...  Boosted Regression Trees BRT are different from RF in that trees are fitted on top of previous trees instead of being fitted parallel to each other without a relation to adjacent trees.  ... 
arXiv:1803.11266v1 fatcat:7yofqahxsbdovlxftyokx5ultu

On the relation between dependency distance, crossing dependencies, and parsing

Carlos Gómez-Rodríguez
2017 Physics of Life Reviews  
While the article is a very rich and useful report on this complex subject, here I will expand on a few specific issues where research in computational linguistics (specifically natural language processing  ...  Liu et al. (2017) provide a comprehensive account of research on dependency distance in human languages.  ...  These are sets of trees that allow a limited degree of non-projectivity, permitting crossing dependencies only if they follow certain conditions or patterns.  ... 
doi:10.1016/j.plrev.2017.05.007 pmid:28595849 fatcat:7ci6yosj7fa67e2v7tjoxyvhcu

Prediction or interpretability?

Stefano Nembrini
2019 Emerging Themes in Epidemiology  
The journal published a review of the literature on recursive partition in epidemiological research comparing two decision tree methods: classification and regression trees (CARTs) and conditional inference  ...  trees (CITs).  ...  Furthermore linear rank statistics cannot detect non-linear effects in the independent variables.  ... 
doi:10.1186/s12982-019-0086-1 pmid:31333752 pmcid:PMC6617852 fatcat:u3ycm74bobfwpd32sxu42rw5ha

Comparison of multispectral wide-field optical imaging modalities to maximize image contrast for objective discrimination of oral neoplasia

Darren Roblyer, Cristina Kurachi, Vanda Stepanek, Richard A. Schwarz, Michelle D. Williams, Adel K. El-Naggar, J. Jack Lee, Ann M. Gillenwater, Rebecca Richards-Kortum
2010 Journal of Biomedical Optics  
The goals of this study were to (i) evaluate image contrast between oral cancer/precancer and non-neoplastic mucosa for a variety of imaging modalities and illumination/collection conditions, and (ii)  ...  Multispectral widefield images can accurately distinguish neoplastic and non-neoplastic tissue; however, the ability to separate precancerous lesions from cancers with this technique was limited.  ...  To help avoid overtraining the decision tree in the training set, it was pruned to find the smallest tree at which adding further nodes does not statistically decrease the cost of the tree.  ... 
doi:10.1117/1.3516593 pmid:21198191 pmcid:PMC3013151 fatcat:qye25cwdpzbelf6lkefnywyx5q

Delimbing and Cross-cutting of Coniferous Trees–Time Consumption, Work Productivity and Performance

2018 Forests  
The chainsaw productivity during tree cross-cutting was 82.29 cm 2 ·s −1 . Delimbing accounted for 96.18% of the real work time, while cross-cutting accounted for 3.82%.  ...  diameter, stem length, and tree volume, while the chainsaw productivity was influenced by the diameter of the cross-cut sections.  ...  [34] showed that the time consumed for cross-cutting pine trees depends more on the length of the wood assortments than on the dbh.  ... 
doi:10.3390/f9040206 fatcat:cwniatdcfzh5nfka7jqc3aattq
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