Tootfinder

U-KAN Makes Strong Backbone for Medical Image Segmentation and Generation
Chenxin Li, Xinyu Liu, Wuyang Li, Cheng Wang, Hengyu Liu, Yixuan Yuan
https://arxiv.org/abs/2406.02918

U-KAN Makes Strong Backbone for Medical Image Segmentation and Generation
U-Net has become a cornerstone in various visual applications such as image segmentation and diffusion probability models. While numerous innovative designs and improvements have been introduced by incorporating transformers or MLPs, the networks are still limited to linearly modeling patterns as well as the deficient interpretability. To address these challenges, our intuition is inspired by the impressive results of the Kolmogorov-Arnold Networks (KANs) in terms of accuracy and interpretabili…

Asymptotic inference with flexible covariate adjustment under rerandomization and stratified rerandomization
Bingkai Wang, Fan Li
https://arxiv.org/abs/2406.02834

Asymptotic inference with flexible covariate adjustment under rerandomization and stratified rerandomization
Rerandomization is an effective treatment allocation procedure to control for baseline covariate imbalance. For estimating the average treatment effect, rerandomization has been previously shown to improve the precision of the unadjusted and the linearly-adjusted estimators over simple randomization without compromising consistency. However, it remains unclear whether such results apply more generally to the class of M-estimators, including the g-computation formula with generalized linear regr…

This https://arxiv.org/abs/2406.02918 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_ees…

U-KAN Makes Strong Backbone for Medical Image Segmentation and Generation
U-Net has become a cornerstone in various visual applications such as image segmentation and diffusion probability models. While numerous innovative designs and improvements have been introduced by incorporating transformers or MLPs, the networks are still limited to linearly modeling patterns as well as the deficient interpretability. To address these challenges, our intuition is inspired by the impressive results of the Kolmogorov-Arnold Networks (KANs) in terms of accuracy and interpretabili…

Universal properties of locally generated terahertz waveforms from polarization-controlled two- and multi-color ionizing fields
H. Alirezaee, S. Skupin, V. Vaicaitis, A. Demircan, I. Babushkin, Luc Berg\'e, U. Morgner
https://arxiv.org/abs/2406.03854

Universal properties of locally generated terahertz waveforms from polarization-controlled two- and multi-color ionizing fields
The polarization states of terahertz (THz) radiation generated in a photo-ionized gas driven by strong two- or multi-frequency fields with locally controlled polarization are studied. We reveal a universal property of the resulting THz waveforms: the ellipticity of their polarization state increases linearly with the frequency. This ``linear chirp of ellipticity'' makes plasma-based THz generation unique among other THz sources. However, it also puts some constraints on the polarization propert…

This https://arxiv.org/abs/2404.14903 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_ees…

Multi-Sample Dynamic Time Warping for Few-Shot Keyword Spotting
In multi-sample keyword spotting, each keyword class is represented by multiple spoken instances, called samples. A naïve approach to detect keywords in a target sequence consists of querying all samples of all classes using sub-sequence dynamic time warping. However, the resulting processing time increases linearly with respect to the number of samples belonging to each class. Alternatively, only a single Fréchet mean can be queried for each class, resulting in reduced processing time but us…

Regularity of linearly presented squarefree monomial ideals
Hailong Dao, Thanh Vu
https://arxiv.org/abs/2406.10595 https://arxiv.org/…

The Influence of Placement on Transmission in Distributed Computing of Boolean Functions
Ahmad Tanha, Derya Malak
https://arxiv.org/abs/2406.07088 https://…

The Influence of Placement on Transmission in Distributed Computing of Boolean Functions
In this paper, we explore a distributed setting, where a user seeks to compute a linearly-separable Boolean function of degree $M$ from $N$ servers, each with a cache size $M$. Exploiting the fundamental concepts of sensitivity and influences of Boolean functions, we devise a novel approach to capture the interplay between dataset placement across servers and server transmissions and to determine the optimal solution for dataset placement that minimizes the communication cost. In particular, we…

Effective Polaron Dynamics of an Impurity Particle Interacting with a Fermi Gas
Duc Viet Hoang, Peter Pickl
https://arxiv.org/abs/2406.08028 https://

Effective Polaron Dynamics of an Impurity Particle Interacting with a Fermi Gas
We study the quantum dynamics of a homogeneous ideal Fermi gas coupled to an impurity particle on a three-dimensional box with periodic boundary condition. For large Fermi momentum $k_\text{F}$, we prove that the effective dynamics is generated by a Fröhlich-type polaron Hamiltonian, which linearly couples the impurity particle to an almost-bosonic excitation field. Moreover, we prove that the effective dynamics can be approximated by an explicit coupled coherent state. Our method is applicabl…

Novel azimuthal observables from two-photon collision at $e^ e^-$ colliders
Yu Jia, Jian Zhou, Ya-jin Zhou
https://arxiv.org/abs/2406.09381 https://…

Novel azimuthal observables from two-photon collision at $e^+e^-$ colliders
In this work we advocate a set of novel azimuthal-angle-related observables associated with exclusive hadron production from two-photon fusion at $e^+ e^-$ colliders, taking the $γγ\to ππ$ as a benchmark process. As a direct consequence of the linearly polarized quasi-real photons emitted off the electron and positron beams, the $\cos 2ϕ$ azimuthal asymmetry in dipion production is predicted within the transverse-momentum-dependent (TMD) factorization framework. In numerical analysis, we t…

Dynamical Stability of Minimal Lagrangians in K\"ahler-Einstein Manifolds of Non-Positive Curvature
Ping-Hung Lee, Chung-Jun Tsai
https://arxiv.org/abs/2406.04602

Dynamical Stability of Minimal Lagrangians in Kähler-Einstein Manifolds of Non-Positive Curvature
It is known that minimal Lagrangians in Kähler--Einstein manifolds of non-positive scalar curvature are linearly stable under Hamiltonian deformations. We prove that they are also stable under the Lagrangian mean curvature flow, and therefore establish the equivalence between linear stability and dynamical stability. Specifically, if one starts the mean curvature flow with a Lagrangian which is $C^1$-close and Hamiltonian isotopic to a minimal Lagrangian, the flow exists smoothly for all tim…