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A Supertree synthesizes the topologies of a set of phylogenetic trees carrying overlapping taxa set. In process, conflicts in the tree topologies are aimed to be resolved with the consensus clades. Such a problem is proved to be NP-hard.…

Populations and Evolution · Quantitative Biology 2016-11-01 Sourya Bhattacharyya , Jayanta Mukhopadhyay

Neural Networks and Decision Trees: two popular techniques for supervised learning that are seemingly disconnected in their formulation and optimization method, have recently been combined in a single construct. The connection pivots on…

Machine Learning · Statistics 2020-02-27 Giuseppe Nuti , Lluís Antoni Jiménez Rugama , Kaspar Thommen

Pruning encompasses a range of techniques aimed at increasing the sparsity of neural networks (NNs). These techniques can generally be framed as minimizing a loss function subject to an $L_0$ norm constraint. This paper introduces CoNNect,…

Machine Learning · Computer Science 2025-06-16 Christian Franssen , Jinyang Jiang , Yijie Peng , Bernd Heidergott

Phylogenetic trees and networks are graphs used to model evolutionary relationships, with trees representing strictly branching histories and networks allowing for events in which lineages merge, called reticulation events. While the…

Populations and Evolution · Quantitative Biology 2026-04-17 Martin Frohn , Niels Holtgrefe , Leo van Iersel , Mark Jones , Steven Kelk

We give a 2-approximation algorithm for the Maximum Agreement Forest problem on two rooted binary trees. This NP-hard problem has been studied extensively in the past two decades, since it can be used to compute the Subtree…

Data Structures and Algorithms · Computer Science 2016-04-29 Frans Schalekamp , Anke van Zuylen , Suzanne van der Ster

Recurrent neural networks (RNNs) are a class of neural networks used in sequential tasks. However, in general, RNNs have a large number of parameters and involve enormous computational costs by repeating the recurrent structures in many…

Machine Learning · Statistics 2024-03-25 Takashi Furuya , Kazuma Suetake , Koichi Taniguchi , Hiroyuki Kusumoto , Ryuji Saiin , Tomohiro Daimon

It is common in phylogenetics to have some, perhaps partial, information about the overall evolutionary tree of a group of organisms and wish to find an evolutionary tree of a specific gene for those organisms. There may not be enough…

Populations and Evolution · Quantitative Biology 2018-01-09 Vu Dinh , Lam Si Tung Ho , Marc A. Suchard , Frederick A. Matsen

We present the first sub-quadratic time algorithm that with high probability correctly reconstructs phylogenetic trees for short sequences generated by a Markov model of evolution. Due to rapid expansion in sequence databases, such very…

Populations and Evolution · Quantitative Biology 2012-06-01 Daniel G. Brown , Jakub Truszkowski

We present new and improved fixed-parameter algorithms for computing maximum agreement forests (MAFs) of pairs of rooted binary phylogenetic trees. The size of such a forest for two trees corresponds to their subtree prune-and-regraft…

Populations and Evolution · Quantitative Biology 2015-03-19 Chris Whidden , Robert G. Beiko , Norbert Zeh

Phylogenetic reconciliation seeks to explain host-symbiont co-evolution by mapping parasite trees onto host trees through events such as cospeciation, duplication, host switching, and loss. Finding an optimal reconciliation that ensures…

Populations and Evolution · Quantitative Biology 2026-02-02 Cyriac Antony , Alessio Martino , Blerina Sinaimeri

Supertree methods are tree reconstruction techniques that combine several smaller gene trees (possibly on different sets of species) to build a larger species tree. The question of interest is whether the reconstructed supertree converges…

Populations and Evolution · Quantitative Biology 2021-05-06 Lam Si Tung Ho , Vu Dinh

The minimum-cost arborescence problem is a well-studied problem in the area of graph theory, with known polynomial-time algorithms for solving it. Previous literature introduced new variations on the original problem with different…

Optimization and Control · Mathematics 2023-05-15 Xiaochen Chou , Mauro Dell'Amico , Jafar Jamal , Roberto Montemanni

Motivation: Word-based or `alignment-free' methods for phylogeny reconstruction are much faster than traditional approaches, but they are generally less accurate. Most of these methods calculate pairwise distances for a set of input…

Populations and Evolution · Quantitative Biology 2018-05-01 Thomas Dencker , Chris-Andre Leimeister , Michael Gerth , Christoph Bleidorn , Sagi Snir , Burkhard Morgenstern

In evolutionary biology, phylogenetic networks are constructed to represent the evolution of species in which reticulate events are thought to have occurred, such as recombination and hybridization. It is therefore useful to have…

Populations and Evolution · Quantitative Biology 2017-03-16 Vincent Moulton , James Oldman , Taoyang Wu

Convolutional Neural Networks (CNNs) have demonstrated exceptional performance in recent years. Compressing these models not only reduces storage requirements, making deployment to edge devices feasible, but also accelerates inference,…

Computer Vision and Pattern Recognition · Computer Science 2024-11-12 Boyao Wang , Volodymyr Kindratenko

This paper derives a unifying theorem establishing consistency results for a broad class of tree-based algorithms. It improves current results in two aspects. First of all, it can be applied to algorithms that vary from traditional Random…

Statistics Theory · Mathematics 2024-02-22 Ricardo Blum , Munir Hiabu , Enno Mammen , Joseph T. Meyer

Statistical phylogenetic inference methods use tree rearrangement operations to perform either hill-climbing local search or Markov chain Monte Carlo across tree topologies. The canonical class of such moves are the subtree-prune-regraft…

Discrete Mathematics · Computer Science 2015-11-05 Chris Whidden , Frederick A. Matsen

The architecture of eukaryotic coding genes allows the production of several different protein isoforms by genes. Current gene phylogeny reconstruction methods make use of a single protein product per gene, ignoring information on…

Data Structures and Algorithms · Computer Science 2017-07-05 Esaie Kuitche , Manuel Lafond , Aïda Ouangraoua

The maximum common subtree isomorphism problem asks for the largest possible isomorphism between subtrees of two given input trees. This problem is a natural restriction of the maximum common subgraph problem, which is ${\sf NP}$-hard in…

Data Structures and Algorithms · Computer Science 2016-08-23 Andre Droschinsky , Nils M. Kriege , Petra Mutzel

'Tree-based' phylogenetic networks proposed by Francis and Steel have attracted much attention of theoretical biologists in the last few years. At the heart of the definitions of tree-based phylogenetic networks is the notion of 'support…

Combinatorics · Mathematics 2019-04-30 Momoko Hayamizu , Kazuhisa Makino
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