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Phylogenetic networks are a generalisation of phylogenetic trees that allow for more complex evolutionary histories that include hybridisation-like processes. It is of considerable interest whether a network can be considered `tree-like' or…

Populations and Evolution · Quantitative Biology 2017-11-21 Michael Hendriksen

Normal networks are an important class of phylogenetic networks that have compelling mathematical properties which align with intuition about inference from genetic data. While tools enabling widespread use of phylogenetic networks in the…

Combinatorics · Mathematics 2025-12-16 Andrew Francis , Charles Semple

We show that the space of rooted tree-based phylogenetic networks is connected under rooted nearest-neighbour interchange (rNNI) moves.

Populations and Evolution · Quantitative Biology 2021-07-06 Péter L. Erdős , Andrew Francis , Tamás Róbert Mezei

Neural network pruning is an essential approach for reducing the computational complexity of deep models so that they can be well deployed on resource-limited devices. Compared with conventional methods, the recently developed dynamic…

Computer Vision and Pattern Recognition · Computer Science 2021-03-11 Yehui Tang , Yunhe Wang , Yixing Xu , Yiping Deng , Chao Xu , Dacheng Tao , Chang Xu

Network Phylogenetic Diversity (Network-PD) is a measure for the diversity of a set of species based on a rooted phylogenetic network (with branch lengths and inheritance probabilities on the reticulation edges) describing the evolution of…

Computational Complexity · Computer Science 2025-11-20 Leo van Iersel , Mark Jones , Jannik Schestag , Celine Scornavacca , Mathias Weller

In phylogenetics, a central problem is to infer the evolutionary relationships between a set of species $X$; these relationships are often depicted via a phylogenetic tree -- a tree having its leaves univocally labeled by elements of $X$…

Data Structures and Algorithms · Computer Science 2016-04-12 Julien Baste , Christophe Paul , Ignasi Sau , Celine Scornavacca

Phylogenetic networks are a generalization of evolutionary trees that are used by biologists to represent the evolution of organisms which have undergone reticulate evolution. Essentially, a phylogenetic network is a directed acyclic graph…

Populations and Evolution · Quantitative Biology 2017-02-01 Leo van Iersel , Vincent Moulton , Eveline de Swart , Taoyang Wu

In this work, we answer an open problem in the study of phylogenetic networks. Phylogenetic trees are rooted binary trees in which all edges are directed away from the root, whereas phylogenetic networks are rooted acyclic digraphs. For the…

Populations and Evolution · Quantitative Biology 2015-11-12 Andreas D. M. Gunawan , Bhaskar DasGupta , Louxin Zhang

Network pruning techniques, including weight pruning and filter pruning, reveal that most state-of-the-art neural networks can be accelerated without a significant performance drop. This work focuses on filter pruning which enables…

Computer Vision and Pattern Recognition · Computer Science 2023-04-20 Xuanyu He , Yu-I Yang , Ran Song , Jiachen Pu , Conggang Hu , Feijun Jiang , Wei Zhang , Huanghao Ding

Recurrent neural networks (RNNs) are central to sequence modeling tasks, yet their high computational complexity poses challenges for scalability and real-time deployment. Traditional pruning techniques, predominantly based on weight…

Neurons and Cognition · Quantitative Biology 2025-02-26 Rakesh Sengupta

Attempting to recognize a tree inside a phylogenetic network is a fundamental undertaking in evolutionary analysis. In the last few years, therefore, tree-based phylogenetic networks, which are defined by a spanning tree called a…

Combinatorics · Mathematics 2020-09-29 Momoko Hayamizu

The performance of Deep Neural Networks (DNNs) keeps elevating in recent years with increasing network depth and width. To enable DNNs on edge devices like mobile phones, researchers proposed several network compression methods including…

Computer Vision and Pattern Recognition · Computer Science 2020-01-27 Yuhui Xu , Yuxi Li , Shuai Zhang , Wei Wen , Botao Wang , Yingyong Qi , Yiran Chen , Weiyao Lin , Hongkai Xiong

The hybridization number problem requires us to embed a set of binary rooted phylogenetic trees into a binary rooted phylogenetic network such that the number of nodes with indegree two is minimized. However, from a biological point of view…

Data Structures and Algorithms · Computer Science 2016-09-05 Leo van Iersel , Steven Kelk , Georgios Stamoulis , Leen Stougie , Olivier Boes

Three standard subtree transfer operations for binary trees, used in particular for phylogenetic trees, are: tree bisection and reconnection ($TBR$), subtree prune and regraft ($SPR$) and rooted subtree prune and regraft ($rSPR$). For a…

Combinatorics · Mathematics 2015-09-03 Ross Atkins , Colin McDiarmid

Real time application of deep learning algorithms is often hindered by high computational complexity and frequent memory accesses. Network pruning is a promising technique to solve this problem. However, pruning usually results in irregular…

Neural and Evolutionary Computing · Computer Science 2015-12-31 Sajid Anwar , Kyuyeon Hwang , Wonyong Sung

Phylogenetic networks are a generalization of phylogenetic trees allowing for the representation of non-treelike evolutionary events such as hybridization. Typically, such networks have been analyzed based on their `level', i.e. based on…

Populations and Evolution · Quantitative Biology 2020-05-11 Mareike Fischer , Michelle Galla , Lina Herbst , Yangjing Long , Kristina Wicke

Structured pruning greatly eases the deployment of large neural networks in resource-constrained environments. However, current methods either involve strong domain expertise, require extra hyperparameter tuning, or are restricted only to a…

Computer Vision and Pattern Recognition · Computer Science 2022-10-04 Qingyuan Li , Bo Zhang , Xiangxiang Chu

The goal of this paper is to study the similarity between sequences using a distance between the \emph{context} trees associated to the sequences. These trees are defined in the framework of \emph{Sparse Probabilistic Suffix Trees} (SPST),…

Applications · Statistics 2008-04-29 Florencia Leonardi , Sergio R. Matioli , Hugo A. Armelin , Antonio Galves

Phylogenetic networks are used to represent evolutionary scenarios in biology and linguistics. To find the most probable scenario, it may be necessary to compare candidate networks, to distinguish different networks, and to see when one…

Combinatorics · Mathematics 2020-04-10 Remie Janssen , Yukihiro Murakami

Phylogenetic trees summarize evolutionary relationships between organisms, and tools to analyze collections of phylogenetic trees enable contrasts between different genes' ancestry. The BHV metric space has enabled the analysis of…

Quantitative Methods · Quantitative Biology 2026-04-24 Maria Alejandra Valdez Cabrera , Amy D Willis
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