5 citations
- Mbarara University of Science and TechnologyUG2 papers
- University of KlagenfurtAT2 papers
- Ethiopian Space Science and Technology InstituteET1 paper
- Graz University of TechnologyAT1 paper
- Institute of Mathematics, Physics, and MechanicsSI1 paper
- Islamic University in UgandaUG1 paper
- KU LeuvenBE1 paper
- Muni UniversityUG1 paper
- The University of DodomaTZ1 paper
- Université du BurundiBI1 paper
- University of GrazAT1 paper
9 papers
Sets of Lengths of Integer-Valued Polynomials on Prime Ideals of Principal Ideal Domains
Zaituni Kansiime, Sholastica Luambano, Sarah Nakato +2
Let be a principal ideal domain with infinite spectrum such that for every nonzero prime ideal of , the residue field is finite. Let be the quotient field of $…
Non-Asymptotic Stability and Consistency Guarantees for Physics-Informed Neural Networks via Coercive Operator Analysis
Ronald Katende
We present a unified theoretical framework for analyzing the stability and consistency of Physics-Informed Neural Networks (PINNs), grounded in operator coercivity, variational for…
Primes and absolutely or non-absolutely irreducible elements in atomic domains
Victor Fadinger, Sophie Frisch, Sarah Nakato +2
We give examples of atomic integral domains satisfying each of the eight logically possible combinations of existence or non-existence of the following kinds of elements: 1) primes…
A Novel Framework for Analyzing Structural Transformation in Data-Constrained Economies Using Bayesian Modeling and Machine Learning
Ronald Katende
Structural transformation, the shift from agrarian economies to more diversified industrial and service-based systems, is a key driver of economic development. However, in low- and…
Cross-Country Comparative Analysis of Climate Resilience and Localized Mapping in Data-Sparse Regions
Ronald Katende
Climate resilience across sectors varies significantly in low-income countries (LICs), with agriculture being the most vulnerable to climate change. Existing studies typically focu…
Irreducible integer-valued polynomials with prescribed minimal power that factors non-uniquely
Sarah Nakato, Roswitha Rissner
We study the question up to which power an irreducible integer-valued polynomial that is not absolutely irreducible can factor uniquely. For example, for integer-valued polynomials…