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We develop in this paper a framework of empirical gain maximization (EGM) to address the robust regression problem where heavy-tailed noise or outliers may present in the response variable. The idea of EGM is to approximate the density…

机器学习 · 计算机科学 2021-01-13 Yunlong Feng , Qiang Wu

Strong gravitational lensing of active galactic nuclei (AGN) enables measurements of cosmological parameters through time-delay cosmography (TDC). With data from the upcoming LSST survey, we anticipate using a sample of O(1000) lensed AGN…

Multi-modal densities appear frequently in time series and practical applications. However, they cannot be represented by common state estimators, such as the Extended Kalman Filter (EKF) and the Unscented Kalman Filter (UKF), which…

系统与控制 · 计算机科学 2014-01-03 Sanket Kamthe , Jan Peters , Marc P Deisenroth

In this paper we revisit a non-linear filter for {\em non-Gaussian} noises that was introduced in [1]. Goggin proved that transforming the observations by the score function and then applying the Kalman Filter (KF) to the transformed…

信息论 · 计算机科学 2026-01-22 Imon Banerjee , Itai Gurvich

The propagation of electromagnetic waves in a linearly-varying index of refraction is a fundamental problem in wave physics, being relevant in fusion science for describing certain wave-based heating and diagnostic schemes. Here, an exact…

光学 · 物理学 2025-04-10 N. A. Lopez

This study aims to test the validity of general relativity (GR) on kiloparsec scales by employing a newly compiled galaxy-scale strong gravitational lensing (SGL) sample. We utilize the distance sum rule within the…

宇宙学与河外天体物理 · 物理学 2024-01-10 Jing-Yu Ran , Jun-Jie Wei

In the absence of a unique, gauge-independent definition of eccentricity in General Relativity, there have been efforts to standardize the definition for Gravitational-Wave astronomy. Recently, Shaikh et al. proposed a model-independent…

广义相对论与量子宇宙学 · 物理学 2025-04-02 Nicolas Chartier , Md Arif Shaikh , Hyung Mok Lee , JeongCho Kim

The Einstein Telescope (ET) is a proposed third-generation gravitational-wave (GW) underground observatory. It will have greatly increased sensitivity compared to current GW detectors, and it is designed to extend the observation band down…

广义相对论与量子宇宙学 · 物理学 2022-02-28 Jan Harms , Luca Naticchioni , Enrico Calloni , Rosario De Rosa , Fulvio Ricci , Domenico D'Urso

In most domains of network analysis researchers consider networks that arise in nature with weighted edges. Such networks are routinely dichotomized in the interest of using available methods for statistical inference with networks. The…

统计方法学 · 统计学 2016-11-10 James D. Wilson , Matthew J. Denny , Shankar Bhamidi , Skyler Cranmer , Bruce Desmarais

In many communication scenarios, the communication signals simultaneously suffer from white Gaussian noise (WGN) and non-Gaussian impulsive noise (IN), i.e., mixed Gaussian-impulsive noise (MGIN). Under MGIN channel, classical communication…

信号处理 · 电气工程与系统科学 2023-01-20 Chengjie Zhao , Jun Wang , Wei Huang , Xiaonan Chen , Tianfu Qi

Electron transmission through different gated and gapped graphene superlattices (GSLs) is studied. Linear, Gaussian, Lorentzian and P\"oschl-Teller superlattice potential profiles have been assessed. A relativistic description of electrons…

介观与纳米尺度物理 · 物理学 2019-01-11 A. Sánchez-Arellano , M. Madrigal-Melchor , I. Rodríguez-Vargas

A closed-form expression that estimates the nonlinear interference of arbitrary modulation formats in Raman amplified links is presented. Accounting for any pumping schemes and inter-channel stimulated Raman scattering effect, the formula…

信号处理 · 电气工程与系统科学 2023-11-30 H. Buglia , M. Jarmolovicius , L. Galdino , R. I. Killey , P. Bayvel

Molecular dynamics (MD) simulations are a central tool in science and engineering enabling the study of dynamical behavior and the link between microscopic structure and macroscopic function. Their high computational cost, however, has…

化学物理 · 物理学 2026-01-22 Salman N. Salman , Sergey A. Shteingolts , Ron Levie , Dan Mendels

Non-Gaussian likelihoods are essential for modelling complex real-world observations but pose significant computational challenges in learning and inference. Even with Gaussian priors, non-Gaussian likelihoods often lead to analytically…

机器学习 · 统计学 2024-10-29 Thang D. Bui

We have recently shown that multi-field axion N-flation can lead to observable non-gaussianity in much of its parameter range, with the assisted inflation mechanism ensuring that the density perturbations are sufficiently close to scale…

宇宙学与河外天体物理 · 物理学 2013-05-30 Soo A Kim , Andrew R Liddle , David Seery

This paper presents a comprehensive analysis of the well-known extragradient (EG) method for solving both equations and inclusions. First, we unify and generalize EG for [non]linear equations to a wider class of algorithms, encompassing…

最优化与控制 · 数学 2024-09-26 Quoc Tran-Dinh , Nghia Nguyen-Trung

Positioning and sensing over wireless networks are imperative for many emerging applications. However, since traditional wireless channel models over-simplify the user equipment (UE) as a point target, they cannot be used for sensing the…

信息论 · 计算机科学 2024-05-14 Ang Chen , Li Chen , Yunfei Chen , Nan Zhao , Changsheng You

Electroencephalography (EEG) signals provide critical insights for applications in disease diagnosis and healthcare. However, the scarcity of labeled EEG data poses a significant challenge. Foundation models offer a promising solution by…

机器学习 · 计算机科学 2025-02-25 Limin Wang , Toyotaro Suzumura , Hiroki Kanezashi

In the setting of entangled single-sample distributions, the goal is to estimate some common parameter shared by a family of $n$ distributions, given one single sample from each distribution. This paper studies mean estimation for entangled…

机器学习 · 计算机科学 2020-07-14 Yingyu Liang , Hui Yuan

We introduce a new numerical strategy to solve a class of oscillatory transport PDE models which is able to captureaccurately the solutions without numerically resolving the high frequency oscillations {\em in both space and time}.Such PDE…

数值分析 · 数学 2016-06-01 Nicolas Crouseilles , Shi Jin , Mohammed Lemou