Research works

Learning Barycenters from Signature Matrices

Abstract. The expected signature of a family of paths need not be a signature of a path itself. Motivated by this, we consider the notion of a Lie group barycenter introduced by Buser and Karcher to propose a barycenter on path signatures. We show that every element of the free n...

Sub-nanosecond structural dynamics of the martensitic transformation in Ni-Mn-Ga

Abstract Martensitic transformations drive many emerging applications, ranging from actuation and mechanocaloric refrigeration to thermoelastic energy harvesting. All these applications benefit from faster transformations. However, systematic investigations of the fast dynamics a...

Test–Retest Reliability of Core Lexicon Analysis

Purpose: We examined the test-retest reliability of core lexicon analysis for healthy control participants (HCP) and individuals with aphasia (IWA) to facilitate research and clinical implementation of discourse analysis.Methods: Transcripts from 50 HCP and 61 IWA [from the Aphas...

Time-causal and time-recursive wavelets

This study presents a framework for time-causal wavelet analysis. It targets real-time processing of temporal signals, where data from the future are not available. The study builds upon temporal scale-space theory, originating from a complete classification of temporal smoothing...

Degree two unirational parametrizations over the real field

We study degree two unirational parameterizations of geometrically rational surfaces over the real field.

Quantum Sampling and Moment Estimation for Transformed Gaussian Random Fields

Abstract. We present a quantum algorithm for efficiently sampling transformed Gaussian random fields in [Formula: see text]-dimensional domains, based on an enhanced version of the classical moving average method. Pointwise transformations enforcing boundedness are essential for...

The structural context of mutations in proteins predicts their effect on antibiotic resistance

Abstract In Mycobacterium tuberculosis, a prevalent and deadly pathogen, resistance to antibiotics evolves primarily through non-synonymous mutations in proteins. Sequence-based analyses are currently used to understand the genetic basis of antibiotic resistance, either via genot...

Starvation transforms signal encoding in C. elegans thermoresponsive neurons and suppresses heat avoidance via bidirectional glutamatergic and peptidergic signaling

. During early food deprivation (1-hr off food), the thermoresponsive sensory neurons AWCs mediate robust heat-evoked reversals over a broad range of stimulus intensities via glutamate and FLP-6 neuropeptide signaling, each covering distinct heat intensity ranges. After six hours...

Comparative performance of reference-based metagenomic tools to identify species-level taxa among families of bacteria: benchmarking Mycobacteriaceae and Neisseriaceae

ABSTRACT Hypotheses concerning the ecology and evolution of bacteria commonly relate to the presence and abundance of species in various settings and conditions. Shotgun metagenomics may address these hypotheses, which previously relied on PCR or culture. However, the problem of...

Enhanced Uncertainty Quantification Variational Autoencoders for the Solution of Bayesian Inverse Problems

Among other uses, neural networks are used to solve deterministic and Bayesian inverse problems, where variational autoencoders enable the Bayesian estimation of model parameters and their distribution from observational data allowing real-time inverse uncertainty quantification....

Multivalued forbidden numbers of two-rowed configurations -- the missing cases

The present paper considers extremal combinatorics questions in the language of matrices. An $s$-matrix is a matrix with entries in $\{0,1,\ldots, s-1\}$. An $s$-matrix is simple if it has no repeated columns. A matrix $F$ is a configuration in a matrix $A$, denoted $F\prec A$, i...

Worth Their Weight: Randomized and Regularized Block Kaczmarz Algorithms without Preprocessing

Abstract. Due to the ever growing amounts of data leveraged for machine learning and scientific computing, it is increasingly important to develop algorithms that sample only a small portion of the data at a time. In the case of linear least-squares, the randomized block Kaczmarz...

Cohomology of flag supervarieties and resolutions of determinantal ideals. II

We compute the coherent cohomology of the structure sheaf of complex periplectic Grassmannians. In particular, we show that it can be decomposed as a tensor product of the singular cohomology ring of a Grassmannian for either the symplectic or orthogonal group together with a sem...

Global dimensions of local geodesic ghor algebras

A ghor algebra is a path algebra with relations of a dimer quiver on a compact surface. We show that the global dimension of any cyclic localization of a geodesic ghor algebra on a genus g ≥ 1 surface is bounded above by 2 g + 1 . This number coincides with the Krull dimension of...

On the convergence of trajectory statistical solutions

Abstract In this work, a recently introduced general framework for trajectory statistical solutions is considered, and the question of convergence of families of such solutions is addressed. Conditions for the convergence are given which rely on natural assumptions related to a p...

A Posteriori Error Analysis of a Mixed FEM for the Coupled Brinkman-Forchheimer/Darcy Problem

We consider a mixed variational formulation recently proposed for the coupling of the Brinkman-Forchheimer and Darcy equations and develop the first reliable and efficient residual-based a posteriori error estimator for the 2D version of the associated conforming mixed finite ele...

Sparse Max-Affine Regression

Abstract. This paper presents sparse gradient descent as a solution for variable selection in convex piecewise linear regression where the model is given as the maximum of [Formula: see text]-affine functions [Formula: see text] for [Formula: see text]. Here, [Formula: see text]...

Eigenvectors of the De Bruijn graph Laplacian: A natural basis for the cut and cycle space

We study the Laplacian of the undirected De Bruijn graph over an alphabet $A$ of order $k$. While the eigenvalues of this Laplacian were found in 1998 by Delorme and Tillich [1], an explicit description of its eigenvectors has remained elusive. In this work, we find these eigenve...

Forward self-similar solutions to the MHD-Boussinesq system with Newtonian gravitational field

This paper is concerned with the existence of forward self-similar solutions to the three-dimensional Magnetohydrodynamic-Boussinesq (MHD-Boussinesq) system with a Newtonian gravitational field. By employing a blow-up argument and the Leray-Schauder theorem, we construct a forwar...

Two new species of the genus Tylostega Meyrick, 1894 (Lepidoptera: Crambidae) from China, with a list of all the known species in the world

Liu, Ping, Wang, Shuxia (2019): Two new species of the genus Tylostega Meyrick, 1894 (Lepidoptera: Crambidae) from China, with a list of all the known species in the world. Zoological Systematics 44 (3): 206-211, DOI: 10.11865/zs.201924, URL: http://zoobank.org/c62e5d84-6d22-4f54...