Research works

Data-driven equation discovery of a sea ice albedo parametrisation

Abstract. In many sea ice models, a single-category, zero layer thermodynamic scheme is employed, in which sea ice albedo is prescribed based on surface types depending on snow cover, surface temperature, or sea ice thickness. The Parkinson and Washington parametrisation (PW79) i...

Risk of febrile neutropenia in breast cancer chemotherapy despite the prophylactic use of pegfilgrastim: a retrospective analysis

<title>Abstract</title> Background Pegfilgrastim, a long-acting granulocyte colony-stimulating factor (G-CSF), is used to prevent febrile neutropenia (FN) in breast cancer patients undergoing chemotherapy. However, a small subset of patients still develops FN and requires hospita...

Stäckel transform, coupling constant metamorphosis and algebraization of quasi-exactly solvable systems

Abstract We extend the application of the notions of the Stäckel transform and the coupling constant metamorphosis to quasi-exactly solvable systems. We discover that for a variety of one-dimensional and separable multidimensional quasi-exactly solvable systems, their sl (2) alge...

Electron Shot Noise on a Current Biased Antenna

Abstract The Parker Solar Probe (PSP) Fields Experiment (FIELDS) uses Radio Frequency Spectrometer (RFS) data and Quasi‐Thermal Noise Spectroscopy (QTN) to determine the temperature and density of electrons in the heliosphere. The FIELDS antennas typically operate with a negative...

Intertwining vectors, and Boltzmann weight matrices, of a Solid-on-Solid model from the 20-vertex model

We initiate a new study on the correspondence between the 20-vertex model and a SOS (Solid-on-Solid) model. In comparison to two previous works of the author which have characterized properties of the transfer, and quantum monodromy, matrices of the 20- vertex model from the pers...

The comprehensive detection of hemoglobinopathy variants via long-read sequencing

ABSTRACT BACKGROUND The genetic complexity of hemoglobin genes, characterized by high GC content and homologous sequences, poses significant challenges for detecting hemoglobin variants in clinical settings. METHODS A long-read indexed PCR method utilizing the novel CycloneSEQ na...

Global Boundedness Induced by Asymptotically Non‐Degenerate Motility in a Fully Parabolic Chemotaxis Model with Local Sensing

ABSTRACT A fully parabolic chemotaxis model of Keller–Segel type with local sensing is considered. The system features a signal‐dependent asymptotically non‐degenerate motility function, which accounts for a repulsion‐dominated chemotaxis. Global boundedness of classical solution...

The Dynamic Distribution in the Fixed Cost Model: An Analytical Solution

I derive an analytical solution to the Kolmogorov forward equation for a fixed cost model. This is a challenging PDE, because the dynamic distribution depends on the flow of resetting agents, which is endogenously determined by the distribution itself. I show there is a shortcut...

Accessible Complexity Bounds for Restarted PDHG on Linear Programs with a Unique Optimizer

The restarted primal-dual hybrid gradient method (rPDHG) has recently emerged as an important tool for solving large-scale linear programs (LPs). For LPs with unique optima, we present an iteration bound of [Formula: see text], where [Formula: see text] is the target tolerance, [...

The hidden cost of illness: exploring the relationship between seasonal respiratory illness, self-efficacy, and academic achievement of undergraduate science students

<title>Abstract</title> <bold>Background</bold> Seasonal respiratory illnesses (SRIs), including COVID-19, have significantly disrupted university students' academic experiences. This study examines the impact of SRIs on key academic factors such as attendance, self-efficacy, and...

A conceptual model for the initiation of the manufacturing relocation process

Purpose There is a knowledge gap in the literature on how firms initiate the manufacturing relocation process and how decision-makers can adopt a more proactive approach to relocation. This paper aims to address these gaps by presenting a conceptual model for the initiation of th...

Deformations of Curves with Constant Curvature

We prove that curves of constant curvature satisfy the parametric [Formula: see text]-dense relative [Formula: see text]-principle in the space of immersed curves with nonvanishing curvature in Euclidean space [Formula: see text]. It follows that two knots of constant curvature i...

Polynomial-Augmented Neural Networks (PANNs) with Weak Orthogonality Constraints for Enhanced Function and PDE Approximation

Abstract. We present polynomial-augmented neural networks (PANNs), a novel machine learning architecture that combines deep neural networks (DNNs) with polynomial expansions. PANNs combine the strengths of DNNs (flexibility and efficiency in higher-dimensional approximation) with...

Optimal combination of composite likelihoods using approximate Bayesian computation with application to state-space models

Composite likelihood provides approximate inference when the full likelihood is intractable and sub-likelihood functions of marginal events can be evaluated relatively easily. It has been successfully applied for many complex models. However, its wider application is limited by t...

Categorical absorption of a non-isolated singularity

We study an example of a projective threefold with a non-isolated singularity and its derived category. The singular locus can be locally described as a line of surface nodes compounded with a threefold node at the origin. We construct a semiorthogonal decomposition where one com...

Filtered complexes and cohomologically equivalent subcomplexes

Inspired by Rumin’s work on a subcomplex in sub-Riemannian manifolds that is cohomologically equivalent to the de Rham complex, we present a more general construction that produces subcomplexes from any filtered cochain complex of finite depth and still computes the cohomology of...

Beyond Prediction Error: A Decision-Theoretic Model of Resistance to Belief Updating

Agents often decline to adopt revisions their own inference supports. We propose that posterior computation and belief implementation are distinct operations: Bayesian inference produces candidate revisions, and a cost-sensitive decision — an endorsement gate — determines whether...

EEG-Neurofeedback Targeting Gamma Oscillations at the Parieto-Occipital Region Reduces Pain Perception

Pain is closely associated with both spontaneous and stimulus-evoked gamma oscillations, which differ in their phenomenology and their relationship to pain perception. These associations make gamma oscillations a promising target for pain interventions, such as closed-loop real-t...

A Somatic Ontology for Computational Therapeutics: Formalizing Body-Based Experience for Digital Mental Health

The Cathexis Somatic Ontology (CSO) is a formal vocabulary and relational schema for encoding body-based therapeutic data. Its canonical name and namespace are CSO; it is registered as CXSO on NCBO BioPortal, where the acronym CSO was already taken. The two names refer to the sam...

Critical-Face Transfer and Prime Separation for Integer Circulant Determinants of Order 21

Let S(C21) denote the set of determinants of integral 21-by-21 circulantmatrices. This preprint analyzes the first nonautomatic local faces, 9m and49m, for cofactors m coprime to 21. A normalization-conductor calculationgives Pic(Z[C21]) isomorphic to C4 and determines the comple...