Research works

Separable downmodulation of meiotic axis protein deposition and DNA break induction at chromosome ends

Abstract In many organisms, meiotic crossover recombination is suppressed near the extreme ends of chromosomes. Here we show that multiple, often chromosome-specific, suppressive mechanisms with differing ranges contribute to the consistently low enrichment of recombination-promo...

Competition and Diversity in Generative AI

Recent evidence, both in the laboratory and in the wild, suggests that the use of generative artificial intelligence reduces the diversity of content produced. As generative AI penetrates more markets and reaches widespread adoption, should we still expect to see content homogeni...

Representative Social Choice: From Learning Theory to AI Alignment

Social choice theory is the study of preference aggregation across a population, used both in mechanism design for human agents and in the democratic alignment of language models. In this study, we propose the representative social choice framework for the modeling of democratic...

Near Soliton Evolution for 2-Equivariant Schrödinger Maps in Two Space Dimensions

We consider equivariant solutions for the Schrödinger Map equation in 2 + 1 2+1 dimensions, with values into S 2 \mathbb {S}^2 . Within each equivariance class m ∈ Z m \in \mathbb {Z} this admits a lowest energy nontrivial steady state Q m Q^m , which extends to a two dimensional...

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...