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We study a method of seed-based lossless filtration for approximate string matching and related bioinformatics applications. The method is based on a simultaneous use of several spaced seeds rather than a single seed as studied by Burkhardt…

Quantitative Methods · Quantitative Biology 2011-01-18 Gregory Kucherov , Laurent Noé , Mikhail A. Roytberg

We propose a general approach to compute the seed sensitivity, that can be applied to different definitions of seeds. It treats separately three components of the seed sensitivity problem -- a set of target alignments, an associated…

Data Structures and Algorithms · Computer Science 2010-01-19 Gregory Kucherov , Laurent Noé , Mihkail Roytberg

We propose a general approach to compute the seed sensitivity, that can be applied to different definitions of seeds. It treats separately three components of the seed sensitivity problem - a set of target alignments, an associated…

Other Computer Science · Computer Science 2011-01-18 Gregory Kucherov , Laurent Noe , Mikhail Roytberg

Selection of initial seeds greatly affects the quality of the clusters and in k-means type algorithms. Most of the seed selection methods result different results in different independent runs. We propose a single, optimal, outlier…

Computer Vision and Pattern Recognition · Computer Science 2012-02-09 K. Karteeka Pavan , Allam Appa Rao , A. V. Dattatreya Rao , G. R. Sridhar

We apply the concept of subset seeds proposed in [1] to similarity search in protein sequences. The main question studied is the design of efficient seed alphabets to construct seeds with optimal sensitivity/selectivity trade-offs. We…

Quantitative Methods · Quantitative Biology 2008-10-31 Mihkail Roytberg , Anna Gambin , Laurent Noé , Slawomir Lasota , Eugenia Furletova , Ewa Szczurek , Gregory Kucherov

Spaced seeds have been recently shown to not only detect more alignments, but also to give a more accurate measure of phylogenetic distances (Boden et al., 2013, Horwege et al., 2014, Leimeister et al., 2014), and to provide a lower…

Quantitative Methods · Quantitative Biology 2014-12-09 Laurent Noé , Donald E. K. Martin

In this paper, we investigate the convergence of language models (LMs) trained under different random seeds, measuring convergence as the expected per-token Kullback--Leibler (KL) divergence across seeds. By comparing LM convergence as a…

Computation and Language · Computer Science 2025-10-01 Finlay Fehlauer , Kyle Mahowald , Tiago Pimentel

We study the pattern matching automaton introduced in (A unifying framework for seed sensitivity and its application to subset seeds) for the purpose of seed-based similarity search. We show that our definition provides a compact automaton,…

Formal Languages and Automata Theory · Computer Science 2014-08-27 Gregory Kucherov , Laurent Noé , Mikhail Roytberg

Spaced seeds are important tools for similarity search in bioinformatics, and using several seeds together often significantly improves their performance. With existing approaches, however, for each seed we keep a separate linear-size data…

Data Structures and Algorithms · Computer Science 2014-03-11 Travis Gagie , Giovanni Manzini , Daniel Valenzuela

We provide time- and sample-efficient algorithms for learning and testing latent-tree Ising models, i.e. Ising models that may only be observed at their leaf nodes. On the learning side, we obtain efficient algorithms for learning a…

Machine Learning · Computer Science 2023-07-11 Davin Choo , Yuval Dagan , Constantinos Daskalakis , Anthimos Vardis Kandiros

Combating bias in NLP requires bias measurement. Bias measurement is almost always achieved by using lexicons of seed terms, i.e. sets of words specifying stereotypes or dimensions of interest. This reproducibility study focuses on the…

Computation and Language · Computer Science 2022-06-07 Jille van der Togt , Lea Tiyavorabun , Matteo Rosati , Giulio Starace

We prove that the isomorphism of scattered tree automatic linear orders as well as the existence of automorphisms of scattered word automatic linear orders are undecidable. For the existence of automatic automorphisms of word automatic…

Logic in Computer Science · Computer Science 2012-04-26 Dietrich Kuske

We propose a new class of data-independent locality-sensitive hashing (LSH) algorithms based on the fruit fly olfactory circuit. The fundamental difference of this approach is that, instead of assigning hashes as dense points in a low…

Machine Learning · Computer Science 2018-12-06 Jaiyam Sharma , Saket Navlakha

The Adaptive Seeding problem is an algorithmic challenge motivated by influence maximization in social networks: One seeks to select among certain accessible nodes in a network, and then select, adaptively, among neighbors of those nodes as…

Social and Information Networks · Computer Science 2015-07-10 Ashwinkumar Badanidiyuru , Christos Papadimitriou , Aviad Rubinstein , Lior Seeman , Yaron Singer

We apply the concept of subset seeds proposed in [1] to similarity search in protein sequences. The main question studied is the design of efficient seed alphabets to construct seeds with optimal sensitivity/selectivity trade-offs. We…

Quantitative Methods · Quantitative Biology 2011-01-18 Mikhail A. Roytberg , Anna Gambin , Laurent Noé , Slawomir Lasota , Eugenia Furletova , Ewa Szczurek , Gregory Kucherov

A seed in a word is a relaxed version of a period in which the occurrences of the repeating subword may overlap. We show a linear-time algorithm computing a linear-size representation of all the seeds of a word (the number of seeds might be…

Data Structures and Algorithms · Computer Science 2019-03-15 Tomasz Kociumaka , Marcin Kubica , Jakub Radoszewski , Wojciech Rytter , Tomasz Walen

We study the notion of sparseness for regular languages over finite trees and infinite words. A language of trees is called sparse if the relative number of $n$-node trees in the language tends to zero, and a language of infinite words is…

Formal Languages and Automata Theory · Computer Science 2025-07-08 Kord Eickmeyer , Georg Schindling

In this paper, a new information theoretic framework for graph matching is introduced. Using this framework, the graph isomorphism and seeded graph matching problems are studied. The maximum degree algorithm for graph isomorphism is…

Information Theory · Computer Science 2017-11-29 F. Shirani , S. Garg , E. Erkip

This work addresses the problem of computing measures of recognisable sets of infinite trees. An algorithm is provided to compute the probability measure of a tree language recognisable by a weak alternating automaton, or equivalently…

Formal Languages and Automata Theory · Computer Science 2025-12-22 Damian Niwiński , Marcin Przybyłko , Michał Skrzypczak

Canonical distances such as Euclidean distance often fail to capture the appropriate relationships between items, subsequently leading to subpar inference and prediction. Many algorithms have been proposed for automated learning of suitable…

Machine Learning · Statistics 2020-08-24 Tyler M. Tomita , Joshua T. Vogelstein
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