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We investigate the isolated points in the space of finitely generated groups. We give a workable characterization of isolated groups and study their hereditary properties. Various examples of groups are shown to yield isolated groups. We…

Group Theory · Mathematics 2010-08-04 Yves de Cornulier , Luc Guyot , Wolfgang Pitsch

Crossing survival curves complicate how we interpret results from a clinical trial's primary endpoint. We find the function to determine a crossing point's location depends exponentially on individual survival curves. This exponential…

Applications · Statistics 2018-05-09 Thomas McAndrew , Bjorn Redfors , Yiran Zhang , Aaron Crowley , Shmuel Chen , Gregg Stone , Paul Jenkins

The problem of characterization of Gibbs random fields is considered. Various Gibbsianness criteria are obtained using the earlier developed one-point framework which in particular allows to describe random fields by means of either…

Probability · Mathematics 2010-04-05 Serguei Dachian , Boris Nahapetian

Individual scores on common factors are required in some applied settings (e.g., business and marketing settings). Common factors are based on reflective indicators, but their scores cannot unambiguously be determined. Therefore, factor…

Applications · Statistics 2017-01-24 André Beauducel , Anja Leue , Norbert Hilger

Models characterized by autoregressive structure and random coefficients are powerful tools for the analysis of high-frequency, high-dimensional and volatile time series. The available literature on such models is broad, but also sectorial,…

Methodology · Statistics 2020-09-18 Marta Regis , Paulo Serra , Edwin R. van den Heuvel

This article is devoted to inverse problems of recovering point sources in mathematical models of heat and mass transfer. The main attention is paid to well-posedness questions of these inverse problems with pointwise overdetermination…

Analysis of PDEs · Mathematics 2023-09-01 Sergey Pyatkov , Lyubov Neustroeva

The use of pointers and data-structures based on pointers results in circular memory references that are interpreted by a vital compiler analysis, namely pointer analysis. For a pair of memory references at a program point, a typical…

Programming Languages · Computer Science 2011-12-19 Mohamed A. El-Zawawy

For a given spectral curve, we construct a family of symplectic dual spectral curves for which we prove an explicit formula expressing the $n$-point functions produced by the topological recursion on these curves via the $n$-point functions…

Mathematical Physics · Physics 2025-01-22 Alexander Alexandrov , Boris Bychkov , Petr Dunin-Barkowski , Maxim Kazarian , Sergey Shadrin

In this paper we study quantitative recurrence and the shrinking target problem for dynamical systems coming from overlapping iterated function systems. Such iterated function systems have the important property that a point often has…

Dynamical Systems · Mathematics 2024-01-30 Simon Baker , Henna Koivusalo

Change-point analysis is a flexible and computationally tractable tool for the analysis of times series data from systems that transition between discrete states and whose observables are corrupted by noise. The change-point algorithm is…

Data Analysis, Statistics and Probability · Physics 2015-05-22 Paul A. Wiggins , Colin H. LaMont

Recurrent neural networks are widely used in speech and language processing. Due to dependency on the past, standard algorithms for training these models, such as back-propagation through time (BPTT), cannot be efficiently parallelised.…

Audio and Speech Processing · Electrical Eng. & Systems 2021-06-07 Zhengxiong Wang , Anton Ragni

The article deals with a kind of recursive function templates in C++, where the recursion is realized corresponding template parameters to achieve better computational performance. Some specialization of these template functions ends the…

Mathematical Software · Computer Science 2007-05-23 Volodymyr Myrnyy

Recent progress in recommender system research has shown the importance of including temporal representations to improve interpretability and performance. Here, we incorporate temporal representations in continuous time via recurrent point…

Machine Learning · Computer Science 2020-01-16 Kostadin Cvejoski , Ramses J. Sanchez , Bogdan Georgiev , Jannis Schuecker , Christian Bauckhage , Cesar Ojeda

Recurrence plots were introduced to help aid the detection of signals in complicated data series. This effort was furthered by the quantification of recurrence plot elements. We now demonstrate the utility of combining recurrence…

chao-dyn · Physics 2012-08-27 J. P. Zbilut , A. Giuliani , C. L. Webber,

We propose a model-based approach to the model checking problem for recursive schemes. Since simply typed lambda calculus with the fixpoint operator, lambda-Y-calculus, is equivalent to schemes, we propose the use of a model of…

Logic in Computer Science · Computer Science 2017-01-11 Sylvain Salvati , Igor Walukiewicz

Determinantal point processes (DPPs), which arise in random matrix theory and quantum physics, are natural models for subset selection problems where diversity is preferred. Among many remarkable properties, DPPs offer tractable algorithms…

Machine Learning · Computer Science 2012-02-20 Alex Kulesza , Ben Taskar

A nonlinear cyclic system with delay and the overall negative feedback is considered. The characteristic equation of the linearized system is studied in detail. Sufficient conditions for the oscillation of all solutions and for the…

Classical Analysis and ODEs · Mathematics 2019-11-21 Elena Braverman , Karel Hasik , Anatoli F. Ivanov , Sergei Trofimchuk

While Multiple Instance (MI) data are point patterns -- sets or multi-sets of unordered points -- appropriate statistical point pattern models have not been used in MI learning. This article proposes a framework for model-based MI learning…

Machine Learning · Statistics 2017-08-15 Ba-Ngu Vo , Dinh Phung , Quang N. Tran , Ba-Tuong Vo

In this paper, we describe properties of the characteristic polynomial of a weighted lattice and show that it has a recursive description, which we use to obtain results on the critical exponent of $q$-polymatroids. We give a Critical…

Combinatorics · Mathematics 2025-06-23 Gianira N. Alfarano , Eimear Byrne

In this paper we study various properties of finite stochastic systems or hidden Markov chains as they are alternatively called. We discuss their construction following different approaches and we also derive recursive filtering formulas…

Probability · Mathematics 2014-07-15 Peter Spreij