7 papers
AlphaFold's Bayesian Roots in Probability Kinematics
Thomas Hamelryck, Kanti V. Mardia
The seminal breakthrough of AlphaFold in protein structure prediction relied on a learned potential energy function parameterized by deep models, in contrast to its successors Alph…
A Cylindrical Galton Board at the Galton Board's 150th Anniversary
Kanti V. Mardia, Colin Goodall, John Rubbo
The Galton board is a well known device for showing how repeated Bernoulli trials on a triangular lattice produce an approximately normal distribution. Marking the 150th anniversar…
The projected isotropic normal distribution with applications in neuroscience
Kanti V. Mardia, Antonio Mauricio F. L. Miranda de Sa'
This paper is motivated by a cutting-edge application in neuroscience: the analysis of electroencephalogram (EEG) signals recorded under flash stimulation. Under commonly used sign…
Asymmetry Analysis of Bilateral Shapes
Kanti V. Mardia, Xiangyu Wu, John T. Kent +2
Many biological objects possess bilateral symmetry about a midline or midplane, up to a ``noise'' term. This paper uses landmark-based methods to measure departures from bilateral…
Modelling toroidal and cylindrical data via the trivariate wrapped Cauchy copula with non-uniform marginals
Sophia Loizidou, Christophe Ley, Shogo Kato +1
In this paper, we propose a new flexible family of distributions for data that consist of three angles, two angles and one linear component, or one angle and two linear components.…
The trivariate wrapped Cauchy copula
Shogo Kato, Christophe Ley, Sophia Loizidou +1
In this paper, we propose a new flexible distribution for data on the three-dimensional torus which we call a trivariate wrapped Cauchy copula. Our trivariate copula has several at…