SnJulia is an easy to use software library written in the Julia language to facilitate harmonic
analysis on the symmetric group of degree n, denoted Sn and make it more easily …

SnFFT is an easy to use software library written in the Julia language to facilitate Fourier
analysis on the symmetric group (set of permutations) of degree n, denoted Sn and make it …

Classical harmonic analysis has traditionally focused on linear and invertible
transformations. Motivated by modern applications, there is a growing interest in non-linear …

It is the purpose of this paper to introduce a novel approach to clustering rank data on a set
of possibly large cardinality n∈ ℕ*, relying upon Fourier representation of functions defined …

This thesis addresses the problem of data representation for pattern recognition by focusing
on three fundamental properties: the efficiency, adaptivity, and interpretability of the …

Data science has become a field of major importance for science and technology nowadays
and poses a large variety of challenging mathematical questions. The area of applied …

Advances in technology and the ever-growing role of digital sensors and computers in
science have led to an exponential growth in the amount and complexity of data we collect …

There is a recent and increasing interest in harmonic analysis of non-smooth geometries.
Real-world examples where these types of geometry appear include large computer …

We conduct an exploratory study that looks at incorporating John Rawls' ideas on fairness
into existing unsupervised machine learning algorithms. Our focus is on the task of …

The mathematical representations of data in the Spherical Harmonic (SH) domain has
recently regained increasing interest in the machine learning community. This technical …