arXiv research

The article proposes modified Gower's coefficients for handling mixed type variables in nearest neighbor methods.

Improves Gower's similarity for mixed-type variables with automatic weighting.

This paper corrects the proof of the Theorem 2 from the Gower's paper \cite[page 5]{Gower:1982} as well as corrects the Theorem 7 from Gower's paper \cite{Gower:1986}. The first correction is needed in order to establish the existence of the kernel function used commonly in the kernel trick e.g. for $k$-means clusterin…

New GP kernel handles mixed-categorical data, improving model accuracy.

Two strategies for embedding new data points from proximity data are explored.

A new method clusters mixed-type data efficiently.

In this short report, we investigate the ability of the DCCA coefficient to measure correlation level between non-stationary series. Based on a wide Monte Carlo simulation study, we show that the DCCA coefficient can estimate the correlation coefficient accurately regardless the strength of non-stationarity (measured b…

Formula connects linking coefficients to Kontsevich integral coefficients.

Computed distortion coefficients for the α-Grushin plane.

Machine learning predicts Kronecker coefficients with high accuracy.

Abstract: Determines thermoelastic coefficients from boundary data.

Clustering non-Euclidean data is difficult, and one of the most used algorithms besides hierarchical clustering is the popular algorithm Partitioning Around Medoids (PAM), also simply referred to as k-medoids. In Euclidean geometry the mean-as used in k-means-is a good estimator for the cluster center, but this does no…

New filling functions for groups with coefficients show different asymptotic behavior.

Abstract: Determines Lamé coefficients from boundary measurements.

Defines and proves properties of weighted renormalized volume coefficients.

Improved 3D LiDAR data classification using product coefficients.

High-dimensional, large-sample astrophysical databases of galaxy clusters, such as the Chandra Deep Field South COMBO-17 database, provide measurements on many variables for thousands of galaxies and a range of redshifts. Current understanding of galaxy formation and evolution rests sensitively on relationships between…

We study the structure of the stable coefficients of the Jones polynomial of an alternating link. We start by identifying the first four stable coefficients with polynomial invariants of a (reduced) Tait graph of the link projection. This leads us to introduce a free polynomial algebra of invariants of graphs whose ele…

Paper calculates third coefficient in Kaehler-Einstein metric expansion.

Develops local elliptic regularity for geometrically-natural operators with low regularity coefficients.

The paper uses Floer homology to study twist coefficients and their behavior after capping off.

Extends A-type coefficient polynomials to B-type setting, introducing new invariants.

We simplify complex regression coefficients using linearization and feature comparison.

Bounding twist number of surface links using polynomial coefficients.

Characterizes differential forms and vector fields with constant coefficients on manifolds.

Study on gradient descent in Hilbert spaces with Markov chains, focusing on mixing coefficients.

In this paper we use wavelet concepts to show that correlation coefficient between two financial data's is not constant but varies with scale from high correlation value to strongly anti-correlation value This studies is important because correlation coefficient is used to quantify degree of independence between two va…

The conformal powers of the Laplacian of a Riemannian metric which are known as the GJMS-operators admit a combinatorial description in terms of the Taylor coefficients of a natural second-order one-parameter family $\H(r;g)$ of self-adjoint elliptic differential operators. $\H(r;g)$ is a non-Laplace-type perturbation …

Guts determine the leading coefficients of $L^2$-Alexander torsions for 3-manifolds.

Survey of recent measures of association, including a new coefficient.

Diffusion models adapt to low-dimensional data regardless of coefficient choices.

Paper finds coefficients of Catalan states using Θ_A-state expansion.

GenMod uses generative models to approximate high-dimensional PDE solutions with limited evaluations.

We prove the $3$-manifold $\RP^3 \# \RP^3$ is of $\Z_{2}$-coefficient homology $(1, 2)$-systolic freedom. Given a Riemannian metric on $\RP^{3}\# \RP^{3}$, we define $\Z_{2}$-coefficient homology $1$-systole as the infimum of lengths of all nonseparating geodesic loops representing nontrivial classes in $H_{1}(\RP^3\#\…

The nullspace and regularization impact high-dimensional linear regression interpretability.

Framework uses deep learning and statistical models to solve PDEs with discontinuous coefficients.

A fundamental property of complex networks is the tendency for edges to cluster. The extent of the clustering is typically quantified by the clustering coefficient, which is the probability that a length-2 path is closed, i.e., induces a triangle in the network. However, higher-order cliques beyond triangles are crucia…

The paper solves MMV and MV problems with random coefficients and finds shared optimal strategies.

We construct explicitly the Khovanov homology theory for virtual links with arbitrary coefficients by using the twisted coefficients method. This method also works for constructing Khovanov homology for ``non-oriented virtual knots'' in the sense of Viro, in particular, for knots in ${\bf R}P^{3}$.

We introduce a variant of the Seiberg-Witten equations, Pin^-(2)-monopole equations, and give its applications to intersection forms with local coefficients of 4-manifolds. The first application is an analogue of Froyshov's results on 4-manifolds which have definite forms with local coefficients. The second is a local …

A new tree-based model for varying coefficients using CGBM.

Paper tests if beta coefficients in AMF model are consistent over time.

Extends Kyle model to multiple traders with different time-preference coefficients.

Let $P$ be a non-negative self-adjoint Laplace type operator acting on sections of a hermitian vector bundle over a closed Riemannian manifold. In this paper we review the close relations between various $P$-related coefficients such as the mollified spectral counting coefficients, the heat trace coefficients, the reso…

The paper provides formulas for Hadamard coefficients using Green's operators.

The behavior under conformal change of the renormalized volume coefficients associated to a pseudo-Riemannian metric is investigated. It is shown that they define second order fully nonlinear operators in the conformal factor whose algebraic structure is elucidated via the introduction of "extended obstruction tensors"…

Defines Floer homology with DG coefficients for symplectic manifolds.

Study reconstructs Faber-Schauder coefficients from antiderivative observations.