Research works

Saddlepoint approximations for plug-in resampling

Abstract Resampling-based procedures can improve on normal approximations in sparse, large-scale testing problems, but their computational cost can be prohibitive. We recognize that several existing procedures belong to a faster plug-in resampling subclass, fixing fitted nuisance...

Balanced assignments of periodic tasks

This work addresses the problem of assigning periodic tasks to workers in a balanced way, i.e., so that each worker performs every task with the same frequency over the long term. The input consists of a list of tasks to be repeated weekly at fixed times and a number of indisting...

On characterization of Double Danielewski type algebras

Let k be a field. In this paper, we consider Double Danielewski type algebras over an affine factorial k-domain R. We observe that this family produces a non-cancellative family of algebras over R. Further, when k is a field of characteristic zero, we give a characterization for...

Quasimaps to Quivers with Potentials

This paper is concerned with a non-compact GIT quotient of a vector space, in the presence of an abelian group action and an equivariant regular function (potential) on the quotient. We define virtual counts of quasimaps from prestable curves to the critical locus of the potentia...

Well-Posedness for Rough Solutions of the 3D Compressible Euler Equations

This paper considers solutions of the compressible 3D Euler equation for low-regularity initial data. An important inspiration for this work is the paper by Qian Wang [Ann. of Math. (2) 195 (2022), no. 2, 509–654, DOI 10.4007/annals.2022.195.2.3. MR 4387234 ], where she proved, u...

Benchmarking Post-Training Under Constrained Compute: Protocols for Question Generation, Variance-Controlled Evaluation, and Judge Auditing

Preprint of the methods paper. Companion findings paper: "What Determines the Direction of Post-Training Gains? A Preregistered Multi-Scale Study of Method, Scale, and Base-Model Identity" (Zenodo, DOI: 10.5281/zenodo.23409394). LLM-as-a-judge scoring is increasingly the default...

A numerical conjecture for the density of cold matter: ω_D = h√(4ω_b/3) tested with CMB, BAO and supernovae

Paper C of a series on the Informational Vector World Model (IVW). Version 1.3, 16 October 2026. In the IVW, cold matter is not a separate particle species but the conserved charge of a shift-symmetric field of the network (network dust; in the literature: cold dark matter). The...

Double Vision – Both Cycles in One Space

The Spheres of Dharma nest six icosahedral solids, with the Hecatodihedron as an in-between stage; their polar reciprocal is a second exact cycle in which every nesting is reversed (Inverted Shells). We put both cycles in one space. The sphere of reciprocation is then the one fre...

Kinematic orientation and dynamical redistribution of vorticity–strain alignment currents in turbulence

The preferential alignment of vorticity with the intermediate eigenvector of the strain-rate tensor is a robust small-scale feature of turbulence, usually described through stationary alignment distributions. We ask an instantaneous question: in which direction, and how strongly,...

A covariant action for the weak second layer: construction, local stability and confrontation with data

A covariant action for the weak second layer: construction, local stability and confrontation with data. Version 1.3, 14 October 2026 (Zenodo edition 16 October 2026). Galaxies rotate faster in their outer parts than their visible mass allows, and the excess follows a tight rule...

Does the additional attraction of a dwarf galaxy depend on its history? A pre-registered test of the quenching-time relation on 51 dwarf galaxies

Does the additional attraction of a dwarf galaxy depend on its history? A pre-registered test of the quenching-time relation on 51 dwarf galaxies. Version 1.5, 16 October 2026. The Informational Vector World Model (IVW) predicts that dwarf galaxies which stopped forming stars ear...

The basins of attraction of soft-sphere packings are not fractal

The energy landscape picture is a central tool to study many-body systems. In particular, the energy landscapes of glass-forming liquids, jammed packings, constraint satisfaction problems, or neural networks contain a plethora of minima corresponding to competing states. Due to t...

Fast construction of partitioned learned Bloom filter with theoretical guarantees

Abstract Bloom filter is a widely used classic data structure for approximate membership queries. Learned Bloom filters improve memory efficiency by leveraging machine learning, with the partitioned learned Bloom filter (PLBF) being among the most memory-efficient variants. Howev...

Adjusted Connections I: Differential Cocycles for Principal Groupoid Bundles with Connection

Abstract We develop a new perspective on principal bundles with connection as morphisms from the tangent bundle of the underlying manifold to a classifying dg-Lie groupoid. This groupoid can be identified with a lift of the inner homomorphisms groupoid arising in Ševera’s differe...

Reinforcement learning to disentangle multiqubit quantum states from partial observations

Using partial knowledge of a quantum state to control multiqubit entanglement is a largely unexplored paradigm in the emerging field of quantum interactive dynamics with the potential to address outstanding challenges in quantum state preparation and compression, quantum control,...

The Challenges of Hyperparameter Tuning for Accurate Causal Effect Estimation

Abstract ML is playing an increasingly crucial role in estimating causal effects of treatments on outcomes from observational data. Many ML methods (‘causal estimators’) have been proposed for this task. All of these methods, as with any ML approach, require extensive hyperparame...

Nearly Tight Spectral Sparsification of Directed Hypergraphs by a Simple Iterative Sampling Algorithm

Spectral hypergraph sparsification, an attempt to extend well-known spectral graph sparsification to hypergraphs, has been extensively studied over the past few years. For undirected hypergraphs, Kapralov, Krauthgamer, Tardos, and Yoshida (2022) have proved an $$\varepsilon $$ -s...

A generalist model for diverse text-guided medical image synthesis

Deep learning algorithms require extensive data to achieve robust performance. However, data availability is often restricted in the medical domain due to patient privacy concerns. Synthetic data presents a possible solution to these challenges. Image generative models have found...

Global and Regional Risk Factors for Vision Impairment in 2020 and Multi-decadal Trends 1990–2020: A Meta-Analysis and Visual Display Based on Prevalence Data From the Global Burden of Disease study and Vision Loss Expert Group

Abstract Purpose To investigate global and regional risk factors for blindness and vision impairment pertaining to all geographical locations between 1990 and 2020. Methods (1) Twenty-four covariates were selected with a potential link to vision impairment from the Global Burden...

Hatching plasticity and embryonic learning in chorus frog ( Pseudacris triseriata ) embryos in response to predatory burrowing crayfish ( Lacunicambarus chimera )

Crayfish represent a profound threat to amphibian populations worldwide, often acting as keystone predators that disrupt breeding success and contribute to local declines. In particular, voracious predation on eggs can consume substantial proportions of clutches, exacerbating vul...