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Related papers: An Alignment Algorithm for Sequences

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The alignment of biological sequences such as DNA, RNA, and proteins, is one of the basic tools that allow to detect evolutionary patterns, as well as functional/structural characterizations between homologous sequences in different…

Quantitative Methods · Quantitative Biology 2023-05-01 Louise Budzynski , Andrea Pagnani

The use of Hirschberg algorithm reduces the spatial cost of recovering the Longest Common Subsequence to linear space. The same technique can be applied to similar problems like Sequence Alignment. However, the price to pay is a duplication…

Data Structures and Algorithms · Computer Science 2022-04-28 David Llorens , Juan Miguel Vilar

We survey current developments in the approximation theory of sequence modelling in machine learning. Particular emphasis is placed on classifying existing results for various model architectures through the lens of classical approximation…

Machine Learning · Computer Science 2023-02-28 Haotian Jiang , Qianxiao Li , Zhong Li , Shida Wang

In this paper, we propose a successive pseudo-convex approximation algorithm to efficiently compute stationary points for a large class of possibly nonconvex optimization problems. The stationary points are obtained by solving a sequence of…

Optimization and Control · Mathematics 2018-12-17 Yang Yang , Marius Pesavento

The DifSets package for GAP implements an algorithm for enumerating all difference sets in a group up to equivalence and provides access to a library of results. The algorithm functions by finding difference sums, which are potential images…

Combinatorics · Mathematics 2019-10-16 Dylan Peifer

Selecting a good column (or row) subset of massive data matrices has found many applications in data analysis and machine learning. We propose a new adaptive sampling algorithm that can be used to improve any relative-error column selection…

Data Structures and Algorithms · Computer Science 2015-10-15 Saurabh Paul , Malik Magdon-Ismail , Petros Drineas

A wide range of optimization problems arising in machine learning can be solved by gradient descent algorithms, and a central question in this area is how to efficiently compress a large-scale dataset so as to reduce the computational…

Machine Learning · Computer Science 2022-10-11 Jiawei Huang , Ruomin Huang , Wenjie Liu , Nikolaos M. Freris , Hu Ding

In this work, we present a novel algorithm design methodology that finds the optimal algorithm as a function of inequalities. Specifically, we restrict convergence analyses of algorithms to use a prespecified subset of inequalities, rather…

Optimization and Control · Mathematics 2024-03-25 Chanwoo Park , Ernest K. Ryu

Network (or Graph) Alignment Algorithms aims to reveal structural similarities among graphs. In particular Local Network Alignment Algorithms (LNAs) finds local regions of similarity among two or more networks. Such algorithms are in…

Social and Information Networks · Computer Science 2020-08-12 Pietro Hiram Guzzi

Many NLP tasks including machine comprehension, answer selection and text entailment require the comparison between sequences. Matching the important units between sequences is a key to solve these problems. In this paper, we present a…

Computation and Language · Computer Science 2016-11-08 Shuohang Wang , Jing Jiang

Despite the eminent successes of deep neural networks, many architectures are often hard to transfer to irregularly-sampled and asynchronous time series that commonly occur in real-world datasets, especially in healthcare applications. This…

Machine Learning · Computer Science 2020-09-16 Max Horn , Michael Moor , Christian Bock , Bastian Rieck , Karsten Borgwardt

Sequence segmentation is a well-studied problem, where given a sequence of elements, an integer K, and some measure of homogeneity, the task is to split the sequence into K contiguous segments that are maximally homogeneous. A classic…

Data Structures and Algorithms · Computer Science 2019-02-12 Nikolaj Tatti

The identification of anomalies in temporal data is a core component of numerous research areas such as intrusion detection, fault prevention, genomics and fraud detection. This article provides an experimental comparison of the novelty…

Machine Learning · Computer Science 2019-12-02 Rémi Domingues , Pietro Michiardi , Jérémie Barlet , Maurizio Filippone

Matching pursuit algorithms are an important class of algorithms in signal processing and machine learning. We present a blended matching pursuit algorithm, combining coordinate descent-like steps with stronger gradient descent steps, for…

Optimization and Control · Mathematics 2019-11-21 Cyrille W. Combettes , Sebastian Pokutta

Modern neural networks have greatly improved performance across speech recognition benchmarks. However, gains are often driven by frequent words with limited semantic weight, which can obscure meaningful differences in word error rate, the…

Computation and Language · Computer Science 2026-04-21 Lasse Borgholt , Jakob Havtorn , Christian Igel , Lars Maaløe , Zheng-Hua Tan

Real world deployments of word alignment are almost certain to cover both high and low resource languages. However, the state-of-the-art for this task recommends a different model class depending on the availability of gold alignment…

Computation and Language · Computer Science 2024-07-19 Gaetan Lopez Latouche , Marc-André Carbonneau , Ben Swanson

Cluster deletion is an NP-hard graph clustering objective with applications in computational biology and social network analysis, where the goal is to delete a minimum number of edges to partition a graph into cliques. We first provide a…

Data Structures and Algorithms · Computer Science 2024-04-26 Vicente Balmaseda , Ying Xu , Yixin Cao , Nate Veldt

Sentence ordering aims at arranging a list of sentences in the correct order. Based on the observation that sentence order at different distances may rely on different types of information, we devise a new approach based on multi-granular…

Computation and Language · Computer Science 2021-01-29 Yutao Zhu , Kun Zhou , Jian-Yun Nie , Shengchao Liu , Zhicheng Dou

Comparing observed behavior (event data generated during process executions) with modeled behavior (process models), is an essential step in process mining analyses. Alignments are the de-facto standard technique for calculating conformance…

Databases · Computer Science 2021-05-18 Daniel Schuster , Sebastiaan van Zelst , Wil M. P. van der Aalst

DCAlign is a new alignment method able to cope with the conservation and the co-evolution signals that characterize the columns of multiple sequence alignments of homologous sequences. However, the pre-processing steps required to align a…

Quantitative Methods · Quantitative Biology 2023-09-06 Anna Paola Muntoni , Andrea Pagnani