Research works

Novel geometrical test of cosmological expansion from photometric data

In tomographic cosmic-shear observations, the Bernardeau, Nishimichi, Taruya (BNT) transform allows us to build weak lensing transformed maps for which the contribution from low-redshift lenses is nulled. As this transformation depends specifically on the expansion rate of the Un...

Flow‐Critical Graphs

ABSTRACT Lovász et al. proved that every six‐edge‐connected graph has a nowhere‐zero three‐flow. In fact, they proved a more technical statement, which says that there exists a nowhere‐zero three‐flow that extends the flow prescribed on the incident edges of a single vertex with...

Loops, Inverse Limits and Non-Determinism

We introduce an operator on problems in Weihrauch complexity, which we call the infinite loop or inverse limit, and which corresponds to an infinite compositional product. This operation arises naturally whenever one implements algorithms that produce a sequence of results in an...

H-FedSN: personalized sparse networks for efficient and accurate hierarchical federated learning for IoT applications

Abstract With the rapid development of the Internet of Things (IoT), federated learning (FL) has gained increasing attention for its privacy-preserving use of distributed data. However, conventional two-tier FL architectures are poorly suited to the hierarchical and heterogeneous...

Optimal Low-Rank Posterior Covariance Approximation in Linear Gaussian Inverse Problems on Hilbert Spaces

Abstract. For linear inverse problems with Gaussian priors and Gaussian observation noise, the posterior is Gaussian, with mean and covariance determined by the conditioning formula. The covariance is the central object for uncertainty quantification, as it encodes the variabilit...

A method for the automatic generation of a minimal basis set of structural templates for material phase-space exploration

Abstract We present a method for efficiently predicting approximate binary convex hulls through the automatic generation of a minimal basis set of representative structural templates. The approach is based on the assumption that chemical space can be partitioned into a limited nu...

The geometry of gametic dispersal in a flying mammal, Rhinolophus hipposideros

Abstract Dispersal influences population and evolutionary dynamics, in a manner that depends on by which dispersal strategies gene flow occurs. In some species, mating partners move exclusively for mating, dispersing genes but not individuals. This is the case in many bat species...

The Converse of the Real Orthogonal Holant Theorem

The Holant theorem is a powerful tool for studying the computational complexity of counting problems. Due to the great expressiveness of the Holant framework, a converse to the Holant theorem would itself be a very powerful counting indistinguishability theorem. The most general...

Quantum convolutional neural networks for jet images classification

Abstract Recently, interest in quantum computing has significantly increased, driven by its potential advantages over classical techniques. Quantum machine learning (QML) exemplifies one of the important quantum computing applications that are expected to surpass classical machin...

Entropic Optimal Transport Eigenmaps for Nonlinear Alignment and Joint Embedding of High-Dimensional Datasets

Abstract. Embedding high-dimensional data into a low-dimensional space is an indispensable component of data analysis. In numerous applications, it is necessary to align and jointly embed multiple datasets from different studies or experimental conditions. Such datasets may share...

Re-evaluating the Impact of Hormone Replacement Therapy on Heart Disease Using Match-Adaptive Randomization Inference

Matching is an appealing way to design observational studies because it mimics the data structure produced by stratified randomized trials, pairing treated individuals with similar controls. After matching, inference is often conducted using methods tailored for stratified random...

Convergence analysis of the adaptive stochastic collocation finite element method

This paper is focused on the convergence analysis of an adaptive stochastic collocation algorithm for the stationary diffusion equation with parametric coefficient. The algorithm employs sparse grid collocation in the parameter domain alongside finite element approximations in th...

Circadian photoreceptor CRYPTOCHROME promotes wakefulness under short winter-like days via a GABAergic circuitry

A cardinal symptom of seasonal affective disorder (SAD, also known as winter depression) is hypersomnolence, while the cause of this ‘winter sleepiness’ is not known. Here, we found that lack of the circadian photoreceptor cryptochrome ( cry ) leads to increased sleep under short...

Generalized Snell’s Law and Maxwell Equations

Abstract. This paper examines the Maxwell system of electrodynamics within the framework of distributions. A primary objective is to establish general boundary conditions for fields at interfaces when the charge and current densities are measures localized on the interface. From...

Which Generalized Petersen Graphs Satisfy the Riemann Hypothesis? The case k ≤ 10

It is classical that the Ihara zeta function of a connected cubic graph satisfies the Riemann Hypothesis if and only if the graph is Ramanujan, i.e., every eigenvalue of its adjacency matrix except ±3 has absolute value at most 2√2. The spectrum of the generalized Petersen graph...

Axiom [studio recording]

Axiom is the third Tom O’Halloran trio studio album. The work was premiered at the 2020 Perth International Jazz Festival, and documents newer compositions and arrangements.

The Law Wants to be Formal

This Article examines the relationship between legal formalism and the institutional significance of different areas of law, arguing that formalism tends to migrate toward the legal domains most central to a system’s self-conception and legitimacy. Through a comparative analysis...

Pre-registration: Does a Water-Trained Dimensionless Critical Heat Flux Model Predict R-134a? A Fluid-to-Fluid Test Against the Scaled 2006 Look-Up Table

Pre-registration of a fluid-to-fluid test, frozen on 8 October 2026 before any test article was opened. Version 3 of a Buckingham π model for critical heat flux (doi:10.5281/zenodo.23225465), fitted to water alone, is applied unchanged to R-134a using R-134a properties and its ow...

UDCT v7.10 — Post-registration: Global Virial Sign Reversal and Local Jeans Obstructions in GQUMOND Function and Stellar-Profile Sensitivity Tests

UDCT v7.10 Post-registration — This record presents the results of the sensitivity study preregistered in UDCT v7.10. Building on the v7.09 GQUMOND example-A implementation and its previously reported results, the study examines changes to the screening function and stellar densi...

The 2nd Next Generation Conversation: Albany @ Ruston

Abstract This commentary is a report on the 2nd Next Gen. Conversation: Albany @ Ruston 2026 (the 22nd Albany Conversation) held on the campus of Louisiana Tech University June 9–13, 2026. The 3rd Next Gen. Conversation will be held at Louisiana Tech University June 13–17, 2028....