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Genome rearrangements can be modeled as $k$-breaks, which break a genome at k positions and glue the resulting fragments in a new order. In particular, reversals, translocations, fusions, and fissions are modeled as $2$-breaks, and…

基因组学 · 定量生物学 2017-02-21 Nikita Alexeev , Anna Pologova , Max A. Alekseyev

The computation of genomic distances has been a very active field of computational comparative genomics over the last 25 years. Substantial results include the polynomial-time computability of the inversion distance by Hannenhalli and…

数据结构与算法 · 计算机科学 2021-08-11 Leonard Bohnenkämper , Marília D. V. Braga , Daniel Doerr , Jens Stoye

Given a set of sequences, the distance between pairs of them helps us to find their similarity and derive structural relationship amongst them. For genomic sequences such measures make it possible to construct the evolution tree of…

信息论 · 计算机科学 2012-08-29 Sandeep Hosangadi

We present an algorithmic approach to the conjugacy problems in monoids, using rewriting systems. We extend the classical theory of rewriting developed by Knuth and Bendix to a rewriting that takes into account the cyclic conjugates.

群论 · 数学 2024-12-04 Fabienne Chouraqui

We investigate approaches to regularisation during fine-tuning of deep neural networks. First we provide a neural network generalisation bound based on Rademacher complexity that uses the distance the weights have moved from their initial…

机器学习 · 统计学 2021-01-18 Henry Gouk , Timothy M. Hospedales , Massimiliano Pontil

This paper provides a short and transparent solution for the covering cost of white-grey trees which play a crucial role in the algorithm of Bergeron {\it et al.}\ to compute the rearrangement distance between two multichromosomal genomes…

离散数学 · 计算机科学 2021-01-01 Péter L. Erdős , Lajos Soukup , Jens Stoye

We propose methods to train convolutional neural networks (CNNs) with both binarized weights and activations, leading to quantized models that are specifically friendly to mobile devices with limited power capacity and computation…

计算机视觉与模式识别 · 计算机科学 2022-06-07 Bohan Zhuang , Chunhua Shen , Mingkui Tan , Peng Chen , Lingqiao Liu , Ian Reid

We investigate the symmetry of circular genome rearrangement models, discuss the implementation of a new representation-theoretic method of calculating evolutionary distances between circular genomes, and give the results of some initial…

种群与进化 · 定量生物学 2017-12-05 Venta Terauds , Jeremy Sumner

In Soda'06, Chaudhuri, Chen, Mihaescu and Rao study algorithmic properties of the tandem duplication - random loss model of genome rearrangement, well-known in evolutionary biology. In their model, the cost of one step of duplication-loss…

组合数学 · 数学 2011-12-06 Mathilde Bouvel , Dominique Rossin

A common goal in observational research is to estimate marginal causal effects in the presence of confounding variables. One solution to this problem is to use the covariate distribution to weight the outcomes such that the data appear…

统计方法学 · 统计学 2020-08-18 Kevin P. Josey , Elizabeth Juarez-Colunga , Fan Yang , Debashis Ghosh

In this paper, we propose to train convolutional neural networks (CNNs) with both binarized weights and activations, leading to quantized models specifically} for mobile devices with limited power capacity and computation resources.…

计算机视觉与模式识别 · 计算机科学 2018-11-29 Bohan Zhuang , Chunhua Shen , Mingkui Tan , Lingqiao Liu , Ian Reid

Foundation models have achieved remarkable results in medical image analysis. However, its large network architecture and high computational complexity significantly impact inference speed, limiting its application on terminal medical…

计算机视觉与模式识别 · 计算机科学 2026-04-10 Yineng Chen , Peng Huang , Aozhong Zhang , Hui Guo , Penghang Yin , Shu Hu , Shao Lin , Xin Li , Tzu-Jen Kao , Balakrishnan Prabhakaran , MingChing Chang , Xin Wang

In the context of the genome rearrangement problem, we analyze two well known models, namely the reversal and the prefix reversal models, by exploiting the connection with the notion of permutation pattern. More specifically, for any $k$,…

组合数学 · 数学 2019-03-22 Giulio Cerbai , Luca Ferrari

Prediction of protein-ligand complexes for flexible proteins remains still a challenging problem in computational structural biology and drug design. Here we present two novel deep neural network approaches with significant improvement in…

生物大分子 · 定量生物学 2020-08-28 Amr H. Mahmoud , Jonas F. Lill , Markus A. Lill

Understanding the dynamics of genome rearrangements is a major issue of phylogenetics. Phylogenetics is the study of species evolution. A major goal of the field is to establish evolutionary relationships within groups of species, in order…

数据结构与算法 · 计算机科学 2014-10-22 Antoine Thomas

Two genomes over the same set of gene families form a canonical pair when each of them has exactly one gene from each family. Different distances of canonical genomes can be derived from a structure called breakpoint graph, which represents…

数据结构与算法 · 计算机科学 2023-04-04 Marilia D. V. Braga , Leonie R. Brockmann , Katharina Klerx , Jens Stoye

We address the problem of computing distances between rankings that take into account similarities between candidates. The need for evaluating such distances is governed by applications as diverse as rank aggregation, bioinformatics, social…

数据结构与算法 · 计算机科学 2014-11-20 Farzad Farnoud , Lili Su , Gregory J. Puleo , Olgica Milenkovic

Codes over permutations under the infinity norm have been recently suggested as a coding scheme for correcting limited-magnitude errors in the rank modulation scheme. Given such a code, we show that a simple relabeling operation, which…

信息论 · 计算机科学 2011-09-20 Itzhak Tamo , Moshe Schwartz

We develop a general framework for reasoning about distances between transition systems with quantitative information. Taking as starting point an arbitrary distance on system traces, we show how this leads to natural definitions of a…

计算机科学中的逻辑 · 计算机科学 2011-07-07 Uli Fahrenberg , Claus Thrane , Kim G. Larsen

Deformed generalized gauge groups, whch were created from physical considerations and made it possible to clarify some long-standing problems in physics, such as the problem of motion and the problem of the energy of the gravitational…

微分几何 · 数学 2021-12-17 Serhii Samokhvalov , Olena Balakireva