Research works

Sublinear Space Graph Algorithms in the Continual Release Model

The graph continual release model of differential privacy seeks to produce differentially private solutions to graph problems under a stream of edge updates where new private solutions are released after each update. Previously known edge differentially private algorithms for mos...

Dimension and model reduction approaches for linear Bayesian inverse problems with rank-deficient prior covariances

Abstract Bayesian inverse problems use observed data to update a prior probability distribution for an unknown state or parameter of a scientific system to a posterior distribution conditioned on the data. In many applications, the unknown parameter is high-dimensional, making co...

Phone Physics and the Gateway Arch: Fun with Friends and Physics at the AAPT Winter Meeting in St. Louis

As a famous landmark and feat of engineering, the Gateway Arch was a popular destination at the 2025 AAPT Winter Meeting in St. Louis. The visit to the observation deck of the Gateway Arch is unique, climbing the steps after exiting the small tram capsules and seeing a floor that...

Field-validated imaging of decadal and seasonal changes in permafrost bedrock using quantitative electrical resistivity tomography (Zugspitze, Germany/Austria)

Abstract. Ongoing permafrost degradation in alpine regions requires monitoring methods that accurately decipher spatial and temporal dynamics. Electrical resistivity tomography (ERT) is widely applied in bedrock permafrost, yet its outputs are often interpreted only qualitatively...

Weak-Form Learning for Mean-Field Partial Differential Equations: An Application to Insect Movement

Abstract. Insect populations subject to epidemic infection, predation, and anisotropic environmental conditions may exhibit preferential movement patterns. Given the virtually random nature of the exogenous factors driving these patterns over short timescales, individual insect t...

Multi-instance Learning as Downstream Task of Self-Supervised Learningbased Pre-trained Model

In deep multi-instance learning, the number of applicable instances depends on the data set. In histopathology images, deep learning multi-instance learners usually assume there are hundreds to thousands instances in a bag. However, when the number of instances in a bag increases...

On simple modules over the quantum matrix algebra at roots of unity

This article investigates the two-parameter quantum matrix algebra at roots of unity. In this setting, this algebra becomes a polynomial identity (PI) algebra. It is known that simple modules over a PI algebra are finite dimensional with their dimension bounded above the PI degre...

Epithelial convergent extension as a tuning process

Self-tuning—the ability of disordered systems to develop desired collective behaviors by tuning internal couplings in response to feedback—has recently emerged as a powerful framework for understanding adaptation in amorphous solids, mechanical metamaterials, and electrical netwo...

Geometric nonlinear analysis of Timoshenko beams with variable cross-section using co-rotational formulation

Abstract. The geometrically nonlinear analysis of Timoshenko beams with variable cross-sections remains a challenging task in engineering practice, particularly for structures subjected to large deformations. While co-rotational (CR) formulations have been widely adopted for geom...

Quantum-corrected black hole thermodynamics from the gravitational path integral

Abstract Exploring quantum effects from black hole thermodynamics has always been a pivotal topic. In recent years, the free energy landscape and ensemble-averaged theory based on the Euclidean path integral approach have provided further understanding of the statistical aspects...

Theoretical guarantees of variational quantum algorithm with guiding states

Abstract Machine learning provides a powerful framework for predicting ground-state properties across families of quantum many-body problems, enabling amortized inference and reducing the cost of repeated simulations. Variational quantum algorithms (VQAs) are promising candidates...

Mutation-agnostic base editing of the progerin farnesylation site rescues Hutchinson-Gilford progeria syndrome phenotypes in neuromuscular organoids

Abstract Hutchinson Gilford progeria syndrome (HGPS) is a fatal premature aging disorder caused by pathogenic farnesylated lamin A variants that disrupt nuclear architecture and DNA repair. Current therapies, including farnesyltransferase inhibitors, provide only modest survival...

On the Orthorecursive Expansion of Unity

The orthorecursive expansion of unity with respect to the monomial system [Formula: see text] in [Formula: see text] produces a sequence of rational coefficients satisfying an explicit linear recurrence. Kalmynin and Kosenko proved that the coefficients decay at least as [Formula...

Mindfulness in the Brazilian National Health System (SUS): Why Training Instructors Is Not Expensive but Strategic and Cost-Effective

BACKGROUND: It is often argued that training mindfulness instructors would be too expensive to be feasible within a public health system such as Brazil’s Unified Health System (SUS). This essay challenges that perception by combining epidemiological estimates, cost analysis, and...

Refinements on higher order Weil–Oesterlé bounds via a Serre type argument

Abstract Weil's theorem gives the most standard bound on the maximum number of points of a curve of genus over a finite field . This bound was improved by Ihara and Oesterlé for larger genus. A recent point of view allows one to recover these bounds by solving a sequence of semi‐...

PyCFRL: A Python library for counterfactually fair offline reinforcement learning via sequential data preprocessing

Reinforcement learning (RL) aims to learn and evaluate a sequential decision rule, often referred to as a "policy", that maximizes the population-level benefit in an environment across possibly infinitely many time steps. However, the sequential decisions made by an RL algorithm,...

Multimodal surface defect detection from wooden logs for sawing optimization

We propose a novel, cost-effective method for knot detection on the surface of wooden logs using multimodal data fusion. Knots are a primary factor affecting the quality of sawn timber, making their detection fundamental to any timber grading or cutting optimization system. Howev...

An ecological and longitudinal analysis of the African continent (2010–2024): modeling AIDS-related mortality, ART coverage, and HIV incidence across 51 countries

Abstract Background HIV/AIDS remains a major public health challenge in Africa. Understanding trends in treatment coverage, new infections, and AIDS-related mortality is essential to achieving global targets. However, most studies focus on sub-Saharan Africa, overlooking patterns...

Multiscale patterns of migration flows in Austria: regionalization, administrative barriers, and urban-rural divides

Abstract Migration is central to various societal problems related to socioeconomic development. While much of the existing research has focused on international migration, migration patterns within a single country remain relatively unexplored. In this work, we study internal mi...

Cobham's theorem for the Gaussian integers

Assuming the four exponentials conjecture, Hansel and Safer showed that if a subset $S$ of the Gaussian integers is both $α=-m+i $- and $β=-n+i$-recognizable, then it is syndetic, and they conjectured that $S$ must be eventually periodic. Without assuming the four exponentials co...