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Polymers can be modeled as open polygonal paths and their closure generates knots. Knotted proteins detection is currently achieved via high-throughput methods based on a common framework insensitive to the handedness of knots. Here we…

Biomolecules · Quantitative Biology 2011-04-19 Federico Comoglio , Maurizio Rinaldi

In this paper we present a new approach to computing homology (with field coefficients) and persistent homology. We use concepts from discrete Morse theory, to provide an algorithm which can be expressed solely in terms of simple graph…

Algebraic Topology · Mathematics 2012-10-26 Paweł Dłotko , Hubert Wagner

2-level polytopes naturally appear in several areas of pure and applied mathematics, including combinatorial optimization, polyhedral combinatorics, communication complexity, and statistics. In this paper, we present a study of some 2-level…

Combinatorics · Mathematics 2017-12-15 Manuel Aprile , Alfonso Cevallos , Yuri Faenza

Connected operators are filtering tools that act by merging elementary regions of an image. A popular strategy is based on tree-based image representations: for example, one can compute an attribute on each node of the tree and keep only…

Computer Vision and Pattern Recognition · Computer Science 2012-07-17 Yongchao Xu , Thierry Géraud , Laurent Najman

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

Lexical semantic typology has identified important cross-linguistic generalizations about the variation and commonalities in polysemy patterns---how languages package up meanings into words. Recent computational research has enabled…

Computation and Language · Computer Science 2020-06-04 Ella Rabinovich , Yang Xu , Suzanne Stevenson

Solvent-based techniques usually involve preparing dilute blends of electron-donor and electron-acceptor materials dissolved in a volatile solvent. After some form of coating onto a substrate, the solvent evaporates. An initially…

Mesoscale and Nanoscale Physics · Physics 2012-03-01 Olga Wodo , Baskar Ganapathysubramanian

Topography is the expression of both internal and external processes of a planetary body. Thus hypsometry (the study of topography) is a way to decipher the dynamic of a planet. For that purpose, the statistics of height and slopes may be…

Earth and Planetary Astrophysics · Physics 2018-10-10 François Landais , Frédéric Schmidt , Shaun Lovejoy

This is a review of two-dimensional conformal field theory including some of the relations to integrable models. An effort is made to develop the basic formalism in a way which is as elementary and flexible as possible at the same time.…

High Energy Physics - Theory · Physics 2017-08-04 Joerg Teschner

In this study, we evaluate the performance of three algorithms as computational models of trabecular bone architecture, through systematic evaluation of morphometric, topological, and mechanical properties. Here, we consider the widely-used…

Medical Physics · Physics 2022-11-24 Mahtab Vafaeefar , Kevin M. Moerman , Majid Kavousi , Ted J. Vaughan

In contact mechanics computation, the constraint conditions on the contact surfaces are typically enforced by the Lagrange multiplier method, resulting in a saddle point system. Given that the saddle point matrix is indefinite, solving…

Numerical Analysis · Mathematics 2024-09-24 Xiaoyu Duan , Hengbin An

In the present work, a new computational framework for structural topology optimization based on the concept of moving deformable components is proposed. Compared with the traditional pixel or node point-based solution framework, the…

Computational Engineering, Finance, and Science · Computer Science 2015-06-23 Xu Guo , Weisheng Zhang , Wenliang Zhong

We compute time-dependent solutions of the sharp-interface model of dendritic solidification in two dimensions by using a level set method. The steady-state results are in agreement with solvability theory. Solutions obtained from the level…

Materials Science · Physics 2009-10-31 Yung-Tae Kim , Nigel Goldenfeld , Jonathan Dantzig

We propose the task of unsupervised morphological paradigm completion. Given only raw text and a lemma list, the task consists of generating the morphological paradigms, i.e., all inflected forms, of the lemmas. From a natural language…

Computation and Language · Computer Science 2020-05-22 Huiming Jin , Liwei Cai , Yihui Peng , Chen Xia , Arya D. McCarthy , Katharina Kann

Morphological analysis involves predicting the syntactic traits of a word (e.g. {POS: Noun, Case: Acc, Gender: Fem}). Previous work in morphological tagging improves performance for low-resource languages (LRLs) through cross-lingual…

Computation and Language · Computer Science 2018-07-12 Chaitanya Malaviya , Matthew R. Gormley , Graham Neubig

A distinguishing feature of a multicellular living system is that it operates at various scales, from the intracellular to organismal. Very little is known at present on how tissue level properties are related to cell and subcellular…

Biological Physics · Physics 2007-06-26 Elijah Flenner , Francoise Marga , Adrian Neagu , Ioan Kosztin , Gabor Forgacs

Techniques from higher categories and higher-dimensional rewriting are becoming increasingly important for understanding the finer, computational properties of higher algebraic theories that arise, among other fields, in quantum…

Category Theory · Mathematics 2017-01-04 Amar Hadzihasanovic

The recent impressive results of deep learning-based methods on computer vision applications brought fresh air to the research and industrial community. This success is mainly due to the process that allows those methods to learn…

Computer Vision and Pattern Recognition · Computer Science 2021-07-13 Keiller Nogueira , Jocelyn Chanussot , Mauro Dalla Mura , Jefersson A. dos Santos

This paper aims to use topological methods to compute $\mathrm{Ext}$ between an irreducible representation of a finite monoid inflated from its group completion and one inflated from its group of units, or more generally coinduced from a…

Representation Theory · Mathematics 2024-04-03 Benjamin Steinberg

Nervous systems are characterized by neurons displaying a diversity of morphological shapes. Traditionally, different shapes have been qualitatively described based on visual inspection and quantitatively described based on morphometric…

Neurons and Cognition · Quantitative Biology 2016-03-29 Lida Kanari , Paweł Dłotko , Martina Scolamiero , Ran Levi , Julian Shillcock , Kathryn Hess , Henry Markram
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