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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…

生物大分子 · 定量生物学 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…

代数拓扑 · 数学 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…

组合数学 · 数学 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…

计算机视觉与模式识别 · 计算机科学 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.…

种群与进化 · 定量生物学 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…

计算与语言 · 计算机科学 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…

介观与纳米尺度物理 · 物理学 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…

地球与行星天体物理 · 物理学 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.…

高能物理 - 理论 · 物理学 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…

医学物理 · 物理学 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…

数值分析 · 数学 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…

计算工程、金融与科学 · 计算机科学 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…

材料科学 · 物理学 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…

计算与语言 · 计算机科学 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…

计算与语言 · 计算机科学 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…

生物物理 · 物理学 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…

范畴论 · 数学 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…

计算机视觉与模式识别 · 计算机科学 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…

表示论 · 数学 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…

神经元与认知 · 定量生物学 2016-03-29 Lida Kanari , Paweł Dłotko , Martina Scolamiero , Ran Levi , Julian Shillcock , Kathryn Hess , Henry Markram