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Newton Trees
[chapter]
2010
Lecture Notes in Computer Science
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This paper presents Newton trees, a redefinition of probability estimation trees (PET) based on a stochastic understanding of decision trees that follows the principle of attraction (relating mass and ...
We present a way of graphically representing the original stochastic probability estimation trees using a user-friendly gravitation simile.We include experiments showing that Newton trees outperform other ...
Fig. 3 . 3 (Left) Newton Tree for the hepatitis dataset. ...
doi:10.1007/978-3-642-17432-2_18
fatcat:nw5tg6tvtjbzbexto3vj7utbqu
Quasi-Ordinary Singularities and Newton Trees
2013
Moscow Mathematical Journal
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We associate with them a Newton tree and characterize quasi-ordinary hypersurface singularities among ν-quasi-ordinary hypersurface singularities in terms of their Newton tree. ...
We show that the Newton trees of the transversal sections do not give the tree of the quasi-ordinary singularity in general. ...
This procedure is codified in a tree called Newton tree. ...
doi:10.17323/1609-4514-2013-13-3-365-398
fatcat:yvuz4yqs7vbx3hirqee7pyj2ty
Quasi-ordinary singularities and Newton trees
[article]
2012
arXiv
pre-print
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We associate with them a Newton tree and characterize quasi-ordinary hypersurface singularities among nu-quasi-ordinary hypersurface singularities in terms of their Newton tree. ...
We show that the Newton trees of the transversal sections do not give the tree of the quasi-ordinary singularity in general. ...
This procedure is codified in a tree called Newton tree. ...
arXiv:1203.1704v1
fatcat:hpywbux5lzcv5b2dqriqejwdqy
The Leaves of the Tree. II: Professor Newton
1911
North American Review
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Alfred Newton was born in 1829, the son of William New
ton, M.P.,
for Ipswich. ...
When I began to reside in College, in 1905, I found that
Newton
appeared
little in public. ...
fatcat:imd26vuabjfjniec7c2zg77uiy
Newton-Okounkov bodies sprouting on the valuative tree
[article]
2016
arXiv
pre-print
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The main objective of this paper is to start a systematic study of the variation of these infinitesimal Newton-Okounkov bodies as (E, p) varies, focusing on the case X = P2. ...
Given a smooth projective algebraic surface X, a point O in X and a big divisor D on X, we consider the set of all Newton-Okounkov bodies of D with respect to valuations of the field of rational functions ...
Newton-Okounkov bodies on the tree QM From now on we will mainly concentrate on the study of ∆ C,s+ when s varies in [1, +∞) . ...
arXiv:1602.02074v1
fatcat:4uucnuizwnhx5hpmo2v6xhg4jq
Newton–Okounkov bodies sprouting on the valuative tree
2016
Rendiconti del circolo matematico di Palermo
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The main objective of this paper is to start a systematic study of the variation of these infinitesimal Newton-Okounkov bodies as (E, p) varies, focusing on the case X = P 2 . ...
Given a smooth projective algebraic surface X , a point O ∈ X and a big divisor D on X , we consider the set of all Newton-Okounkov bodies of D with respect to valuations of the field of rational functions ...
Acknowledgements This research was started during the workshop "Recent advances in Linear series and Newton-Okounkov bodies", which took place in Padova, Italy, February 9-14, 2015. ...
doi:10.1007/s12215-016-0285-3
fatcat:xkvhqvqo3res5n5nmvtq2iicoy
Newton trees for ideals in two variables and applications
2013
Proceedings of the London Mathematical Society
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We codify most of the data of the algorithm in a useful combinatorial object, the Newton tree. ...
of the tree. ...
Newton process versus Newton tree. We explain how to recover the Newton tree from the Newton process. ...
doi:10.1112/plms/pdt047
fatcat:yzqkqoah25fulbwdorzpepvuju
PhyBin: binning trees by topology
2013
PeerJ
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PhyBin can generate bins of topologies corresponding to exactly identical trees or can utilize Robinson-Fould's distance matrices to generate clusters of similar trees, using a user-defined threshold. ...
Here we present PhyBin: a flexible program for clustering gene trees based on topological structure. ...
and Newton (2013), PeerJ, DOI 10.7717/peerj.187 3/11
Newton and Newton (2013), PeerJ, DOI 10.7717/peerj.187
Newton and Newton (2013), PeerJ, DOI 10.7717/peerj.187 9/11
Newton and Newton ...
doi:10.7717/peerj.187
pmid:24167782
pmcid:PMC3807594
fatcat:h7upwxihsrb6hm7orthcoto4ze
Structure of the Newton tree at infinity of a polynomial in two variables
[article]
2019
arXiv
pre-print
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The dual graph of D is a tree. We are interested in this tree, and we analyse its complexity in terms of the genus of the generic fiber of f. ...
An abstract Newton tree at infinity T is generic if every vertex of T has nonnegative multiplicity. 1.19 . Remark. Let T be a generic Newton tree at infinity. ...
In all cases, T 0 is an abstract Newton tree at infinity and is generic. We define T(f ; x, y) to be the unique minimally complete Newton tree at infinity which is equivalent to T 0 (Lemma 1.26). ...
arXiv:1809.02462v2
fatcat:pyo5o7mquze4db4rbzv4q5vfvu
The Newton tree: geometric interpretation and applications to the motivic zeta function and the log canonical threshold
[article]
2013
arXiv
pre-print
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We associate a minimal Newton tree to I, related to using good coordinates in the Newton algorithm, and show that it has a conceptual geometric interpretation in terms of the log canonical model of I. ...
We use the Newton algorithm to compute by induction the motivic zeta function of the ideal, yielding only few poles, associated to the faces of the successive Newton polygons. ...
Newton tree of an ideal. We build the Newton tree of I by induction on the depth. ...
arXiv:1310.8260v1
fatcat:kkbfwo5xrzglrkp3gkhfvkmsjm
A Disease of Almond Trees
1892
The Journal of Mycology
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These facts indicate that some immediate source of infection extraneous to the peach tree itself must be present before the tree will suffer from the disease. ...
The leaves of peach trees are likewise considerably affected by Cercospora. ...
doi:10.2307/3752251
fatcat:quh4rokfu5dpbhzg4kwqhhuciy
Sound, Fine-Grained Traversal Fusion for Heterogeneous Trees - Extended Version
[article]
2019
arXiv
pre-print
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In applications such as compilers and render trees, these trees are heterogeneous: different nodes of the tree have different types. ...
Applications in many domains are based on a series of traversals of tree structures, and fusing these traversals together to reduce the total number of passes over the tree is a common, important optimization ...
general tree traversals. ...
arXiv:1904.07061v1
fatcat:rb2gonerqjdkbnu4gf4soupb6e
Efficient Tree-Traversals: Reconciling Parallelism and Dense Data Representations
[article]
2021
arXiv
pre-print
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Parallel Gibbon exceeds the parallel performance of existing compilers for purely functional programs that use recursive algebraic datatypes, including, notably, abstract-syntax-tree traversals as in compilers ...
Traditionally, any such tree-layout optimizations would be implemented manually by the programmer-for example, in a scientific application with balanced trees. ...
Parallel Arrays Programs need arrays as well as trees. ...
arXiv:2107.00522v1
fatcat:mj5mv7n4evaylkz3ljydntxqp4
Status, distribution and use of threatened tree species in the walnut-fruit forests of Kyrgyzstan
2014
Forests, Trees and Livelihoods
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Information is lacking on the status of threatened tree species in Central Asia. This paper aims to provide preliminary information for 10 fruit and nut tree species of Kyrgyzstan. ...
These results suggest that unsustainable land-use practices may be impacting negatively on populations of threatened fruit tree species. ...
As with many other Red List assessments of tree species (Newton & Oldfield 2008) , detailed information is lacking on the status and distribution of most tree species in the region. ...
doi:10.1080/14728028.2014.928604
fatcat:tgafl3mnbvfrfmddxvkai7bxve
The Newton tree: geometric interpretation and applications to the motivic zeta function and the log canonical threshold
2015
Mathematical proceedings of the Cambridge Philosophical Society (Print)
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We associate a minimal Newton tree to${\mathcal I}$, related to using good coordinates in the Newton algorithm, and show that it has a conceptual geometric interpretation in terms of the log canonical ...
We use the Newton algorithm to compute by induction the motivic zeta function of the ideal, yielding only few poles, associated to the faces of the successive Newton polygons. ...
Newton tree of an ideal. We build the Newton tree of I by induction on the depth. ...
doi:10.1017/s0305004115000493
fatcat:2rdpxeisenbgfe2vq4ncoi6iby
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