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We introduce a simple model for implementing the concepts of quasi-energy and parametric resonances (PRs) in systems with the $\mathcal{PT}$ symmetry, i.e., a pair of coupled and mutually balanced gain and loss elements. The parametric (ac)…

斑图形成与孤子 · 物理学 2015-06-16 Jennie D'Ambroise , Boris A. Malomed , P. G. Kevrekidis

The inference of the underlying state of the plasma in the solar chromosphere remains extremely challenging because of the nonlocal character of the observed radiation and plasma conditions in this layer. Inversion methods allow us to…

太阳与恒星天体物理 · 物理学 2019-03-06 J. de la Cruz Rodríguez , J. Leenaarts , S. Danilovic , H. Uitenbroek

Marginal structural models have been widely used in causal inference to estimate mean outcomes under either a static or a prespecified set of treatment decision rules. This approach requires imposing a working model for the mean outcome…

统计方法学 · 统计学 2024-02-27 Cuong Pham , Benjamin R. Baer , Ashkan Ertefaie

Receiver operating characteristic (ROC) curve is an informative tool in binary classification and Area Under ROC Curve (AUC) is a popular metric for reporting performance of binary classifiers. In this paper, first we present a…

机器学习 · 计算机科学 2021-09-14 Khashayar Namdar , Masoom A. Haider , Farzad Khalvati

Parameterized Quantum Circuits (PQCs) are essential to quantum machine learning and optimization algorithms. The expressibility of PQCs, which measures their ability to represent a wide range of quantum states, is a critical factor…

Flexible estimation of the mean outcome under a treatment regimen (i.e., value function) is the key step toward personalized medicine. We define our target parameter as a conditional value function given a set of baseline covariates which…

统计理论 · 数学 2023-09-29 Ashkan Ertefaie , Luke Duttweiler , Brent A. Johnson , Mark J. van der Laan

In electrocardiography, the "classic" inverse problem is the reconstruction of electric potentials at a surface enclosing the heart from remote recordings at the body surface and an accurate description of the anatomy. The latter being…

数值分析 · 数学 2021-06-29 Lia Gander , Rolf Krause , Michael Multerer , Simone Pezzuto

In this paper, we present an algorithm for reparametrizing algebraic plane curves from a numerical point of view. That is, we deal with mathematical objects that are assumed to be given approximately. More precisely, given a tolerance…

代数几何 · 数学 2014-10-28 Sonia Perez-Diaz , Li-Yong Shen

This paper designs traffic signal control policies for a network of signalized intersections without knowing the demand and parameters. Within a model predictive control (MPC) framework, control policies consist of an algorithm that…

系统与控制 · 电气工程与系统科学 2025-03-17 Zhexian Li , Ketan Savla

The main objective of this work is to describe a general and original approach for computing an off-line solution for a set of parameters describing the geometry of the domain. That is, a solution able to include information for different…

数值分析 · 数学 2019-09-26 Ruben Sevilla , Sergio Zlotnik , Antonio Huerta

Linear Response theory aims to predict how added forcing alters the statistical properties of an unforced system. These kinds of questions have been studied predominantly for autonomous dynamical systems, yet many systems in the physical,…

动力系统 · 数学 2026-04-07 Stefano Galatolo , Valerio Lucarini

We describe a geometric method to quantify wave patterns observed in the nervous system, which are non-stationary and with a mixture of spiral, target, plane and irregular waves. The method analyzes fluctuations of the energy angular…

斑图形成与孤子 · 物理学 2015-03-13 Chuan Zhang , Kentaroh Takagaki , Xiaoying Huang , Steven J. Schiff , Jian-Young Wu

Parallelization techniques have become ubiquitous for accelerating inference and training of deep neural networks. Despite this, several operations are still performed in a sequential manner. For instance, the forward and backward passes…

机器学习 · 计算机科学 2023-10-30 Federico Danieli , Miguel Sarabia , Xavier Suau , Pau Rodríguez , Luca Zappella

In many areas of imaging science, it is difficult to measure the phase of linear measurements. As such, one often wishes to reconstruct a signal from intensity measurements, that is, perform phase retrieval. In this paper, we provide a…

信息论 · 计算机科学 2013-09-13 Boris Alexeev , Afonso S. Bandeira , Matthew Fickus , Dustin G. Mixon

We present a new method for statistical process control (SPC) of a discrete part manufacturing system based on intrinsic geometrical properties of the parts, estimated from three-dimensional sensor data. An intrinsic method has the…

应用统计 · 统计学 2020-07-13 Xueqi Zhao , Enrique del Castillo

This paper discusses the problem of adaptive estimation of a univariate object like the value of a regression function at a given point or a linear functional in a linear inverse problem. We consider an adaptive procedure originated from…

统计理论 · 数学 2009-08-26 Vladimir Spokoiny , Céline Vial

A continuous-time random walk in the quarter plane with homogeneous transition rates is considered. Given a non-negative reward function on the state space, we are interested in the expected stationary performance. Since a direct derivation…

概率论 · 数学 2017-08-31 Xinwei Bai , Jasper Goseling

Quadratic regression (QR) models naturally extend linear models by considering interaction effects between the covariates. To conduct model selection in QR, it is important to maintain the hierarchical model structure between main effects…

统计方法学 · 统计学 2016-07-15 Ning Hao , Yang Feng , Hao Helen Zhang

The knowledge of transitions between regular, laminar or chaotic behavior is essential to understand the underlying mechanisms behind complex systems. While several linear approaches are often insufficient to describe such processes, there…

医学物理 · 物理学 2007-05-23 N. Marwan , N. Wessel , U. Meyerfeldt , A. Schirdewan , J. Kurths

A model of phase transitions with coupling between the order parameter and its gradient is proposed. It is shown, that this nonlinear model is suitable for the description of phase transitions accompanied by the formation of spatially…

统计力学 · 物理学 2013-03-19 B. I. Lev , A. G. Zagorodny