Research works

Linearization-Based Feedback Stabilization of McKean−Vlasov PDEs

Abstract. We develop a feedback control framework for stabilizing the McKean–Vlasov PDE on the torus. Our goal is to steer the dynamics toward a prescribed stationary distribution or accelerate convergence to it using a time-dependent control potential. We reformulate the control...

Mostly Nonuniformly Sectional Expanding Systems

Abstract We introduce the notion of mostly nonuniform sectional expanding (MNUSE) for singular flows which encompasses the notions of sectional hyperbolicity, asymptotically sectional and multisingular hyperbolicity. We construct examples of a vector field of class $$C^r, r \ge 1...

Parselets: An Abstraction for Fast, General-Purpose Algorithmic Information Calculus

This work describes the principled design of a theoretical framework leading to fast and accurate algorithmic information measures on finite multisets of finite strings by means of compression. One distinctive feature of our approach is to manipulate reified representations of th...

High-order Magnus expansion for Hamiltonian simulation

Efficient simulation of quantum dynamics with time-dependent Hamiltonians is important not only for time-varying systems but also for time-independent Hamiltonians in the interaction picture. Such simulations are more challenging than their time-independent counterparts due to th...

Ultrafast X-ray sonography reveals the spatial heterogeneity of the laser-induced magneto-structural phase transition in FeRh

Abstract Even on the nanoscale, phase transitions are governed by both intrinsic and extrinsic heterogeneities, yet capturing their spatio-temporal dynamics remains a challenge. While ultrafast techniques track phase changes on femtosecond timescales, the spatial complexity and s...

Perturbative Variational Quantum Eigensolver via Reduced Density Matrices

Abstract Current noisy intermediate-scale quantum (NISQ) devices remain limited in their ability to perform accurate quantum chemistry simulations because of restricted numbers of high-fidelity qubits and short coherence times. To overcome these challenges, we introduce a reduced...

Partially hyperbolic geodesic flow via conformal deformation

This paper presents a new construction of non-Anosov partially hyperbolic geodesic flows. Our construction is closely related to the construction presented in [10] , the novelty is the use of conformal deformations to produce the examples. Some of the necessary conditions appear...

A Method to Generate Multi-interval Pairwise Compatibility Graphs

Enumerating multi-interval pairwise compatibility graphs ([Formula: see text]-IPCGs) is computationally challenging due to the exponential growth in the number of graphs and trees, as well as the infinite search space for weights. Currently, no method exists to enumerate all [For...

On Nonparanormal Likelihoods

Nonparanormal models describe the joint distribution of multivariate responses via latent Gaussian, and thus parametric, copulae while allowing flexible nonparametric marginals. Some aspects of such distributions, for example conditional independence, are formulated parametricall...

On Goncharov's conjecture in next to Milnor degree

Let K be a field of characteristic zero. We prove that its motivic cohomology of weight m and degree m − 1 is rationally isomorphic to the cohomology of the polylogarithmic complex. This gives a partial extension of A. Suslin's theorem describing the indecomposable K 3 of a field...

Isoperimetric profile function comparisons with integral Ricci curvature bounds

We prove comparison results for the Isoperimetric profile function in the setting of manifolds with L p L^{p} integral bounds on the Ricci curvature. We extend previous work of Ni and Wang and Bayle and Rosales under the usual pointwise bounds for the Ricci curvature.

Applying Non-Negative Matrix Factorization with Covariates to the Longitudinal Data as Growth Curve Model

Using Non-negative Matrix Factorization (NMF), an observed matrix is approximated by a basis matrix times a coefficient matrix. When each individual’s coefficient vector is explained by covariates, the coefficient matrix factorizes into a parameter matrix and a covariate matrix—a...

Dirichlet domains for Anosov subgroups

Abstract We introduce a sufficient condition for a finitely generated subgroup Γ of a semisimple Lie group 𝐺 to admit finite-sided Dirichlet domains for polyhedral Finsler metrics on the symmetric space G / K G/K . The condition always implies the Θ-Anosov condition for some Θ, a...

Statistical methods for partitioning ribbon and globally-distributed flux using data from the Interstellar Boundary Explorer

NASA’s Interstellar Boundary Explorer (IBEX) satellite collects data on energetic neutral atoms (ENAs) that can provide insight into the heliosphere boundary between our solar system and interstellar space. Using these data, scientists can construct maps of the ENA intensities (o...

Computational advances and challenges in simulations of turbulence and star formation

Abstract We review recent advances in the numerical modeling of turbulent flows and star formation. An overview of the most widely used simulation codes and their core capabilities is provided. We then examine methods for achieving the highest-resolution magnetohydrodynamical tur...

Water-rich sub-Neptunes and rocky super-Earths around different stars: Radii shaped by volatile partitioning, formation, and evolution

Despite precise characterization measurements, the nature of planets with radii between 2 and 4 Earth radii -- sub-Neptunes -- remains unknown due to degeneracies in interior models. Nevertheless, the field has compiled an impressive ensemble of small planets with measured masses...

FUSED-Net: Detecting traffic signs with limited data

Automatic Traffic Sign Recognition is paramount in modern transportation systems. However, curating large-scale datasets for diverse traffic sign detection remains impractical. In this context, we present FUSED-Net, a novel approach that enhances Few-Shot Object Detection (FSOD)...

Minimal-actuation feather star–inspired soft swimmers for multimodal 3D maneuverability

Complex, three-dimensional (3D) motions typically require actuator arrays and complex control architectures. Here, we present a feather star–inspired soft robotic swimmer that uses only two pneumatic inputs to produce three distinct and switchable swimming modes: jellyfish-like p...

Treatment Outcomes for Gastric Cancer With Positive Peritoneal Lavage Cytology or Localized Peritoneal Metastasis

Importance In the era of modern systemic chemotherapy, the optimal treatment strategy for gastric cancer with positive peritoneal lavage cytology (CY1) and/or localized peritoneal metastasis (P1a) remains controversial. Objective To explore the optimal treatment strategy for pati...

Prehistoric global migration of vanishing gut microbes with humans

The gut microbiome is crucial for health and is affected strongly by lifestyle1. Many microorganisms commonly found in non-industrialized populations are disappearing or have become extinct in industrialized populations2–6. Studying which microorganisms have been long-term reside...