In our previous work [Chiba, Medvedev, arXiv:1612.06493], we initiated a mathematical investigation of the onset of synchronization in the Kuramoto m…

The local induction equation, or the binormal flow on space curves is a well-known model of deformation of space curves as it describes the dynamics …

Relative error estimation has been recently used in regression analysis. A crucial issue of the existing relative error estimation procedures is that…

We introduce a new presentation of the two dimensional rigid transformation which is more concise and efficient than the standard matrix presentation…

The development of a metric on structural data-generating mechanisms is fundamental in machine learning and the related fields. In this paper, we con…

Fold maps are higher dimensional versions of Morse functions and fundamental and important tools in studying algebraic and differential topological p…

When approaching to problems in computer science, we often encounter situations where a subset of a finite set maximizing some utility function needs…

In this paper we show that polyomino ideal of a simple polyomino coincides with the toric ideal of a weakly chordal bipartite graph and hence it has …

Prior domain knowledge can greatly help to learn generative models. However, it is often too costly to hard-code prior knowledge as a specific model …

The Wang tiling is a classical problem in combinatorics. A major theoretical question is to find a (small) set of tiles which tiles the plane only ap…

Good parametrisations of affine transformations are essential to interpolation, deformation, and analysis of shape, motion, and animation. It has bee…

In this paper we consider the log-aesthetic curves and their generalization which are used in CAGD. We consider those curves under similarity geometr…

Development of metrics for structural data-generating mechanisms is fundamental in machine learning and the related fields. In this paper, we give a …

Cone-beam computed tomography (CBCT) offers advantages over conventional fan-beam CT in that it requires a shorter time and less exposure to obtain i…

As mentioned in Section 1, we express solutions to (1.4) and (1.5) using three kinds of special functions: Mittag-Leffler functions, generalized Wright functions and Fox H-functions. Which of these functions we use in any given case depends on the r…

It is well-known that one-dimensional time fractional diffusion-wave equations with variable coefficients can be reduced to ordinary fractional diffe…

An explicit formula for the mean spectral measure of a random Jacobi matrix is derived. The matrix may be regarded as the limit of Gaussian beta ense…

We consider one of the most basic multiple testing problems that compares expectations of multivariate data among several groups. As a test statistic…

A linkage mechanism consists of rigid bodies assembled by joints which can be used to translate and transfer motion from one form in one place to ano…

We provide a numerical validation method of blow-up solutions for finite dimensional vector fields admitting asymptotic quasi-homogeneity at infinity…

The persistent homology of a stationary point process on ${\bf R}^N$ is studied in this paper. As a generalization of continuum percolation theory, w…

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