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Many problems that appear in biomedical decision making, such as diagnosing disease and predicting response to treatment, can be expressed as binary classification problems. The costs of false positives and false negatives vary across…

Typical learning curves for Soft Margin Classifiers (SMCs) learning both realizable and unrealizable tasks are determined using the tools of Statistical Mechanics. We derive the analytical behaviour of the learning curves in the regimes of…

无序系统与神经网络 · 物理学 2007-05-23 Sebastian Risau-Gusman , Mirta B. Gordon

Voltage stability in modern power systems involves coupled dynamics across multiple time scales. Conventional methods based on time-scale separation or static stability margins may overlook instabilities caused by the coupling of slow and…

系统与控制 · 电气工程与系统科学 2026-02-17 Naoki Hashima , Hikaru Hoshino , Luis David Pabón Ospina , Eiko Furutani

Many safety failures in machine learning arise when models are used to assign predictions to people (often in settings like lending, hiring, or content moderation) without accounting for how individuals can change their inputs. In this…

机器学习 · 计算机科学 2025-07-04 Seung Hyun Cheon , Meredith Stewart , Bogdan Kulynych , Tsui-Wei Weng , Berk Ustun

Predicting region-wide structural responses under seismic shaking is essential for enhancing the effectiveness of earthquake engineering task forces such as earthquake early warning and regional seismic risk and resilience assessments.…

计算工程、金融与科学 · 计算机科学 2025-03-04 Chunxiao Ning , Yazhou Xie

This paper analyzes a new regularized learning scheme for high dimensional partially linear support vector machine. The proposed approach consists of an empirical risk and the Lasso-type penalty for linear part, as well as the standard…

统计理论 · 数学 2020-06-08 Yifan Xia , Yongchao Hou , Shaogao Lv

Interaction of corrugated steel plates with surrounding soil medium causes the investigation of seismic behavior of soil-steel structures to be complicated. Reviewing the available literature confirms the considerable scarceness in this…

地球物理 · 物理学 2019-01-09 Ehssan Hoomaan , Morteza Esmaeili

In this work we provide a simple estimation procedure for a general frailty model for analysis of prospective correlated failure times. Rigorous large-sample theory for the proposed estimators of both the regression coefficient vector and…

统计理论 · 数学 2007-06-13 Malka Gorfine , David M. Zucker , Li Hsu

Support vector machine (SVM), is a popular kernel method for data classification that demonstrated its efficiency for a large range of practical applications. The method suffers, however, from some weaknesses including; time processing,…

机器学习 · 计算机科学 2023-08-23 Lakhdar Remaki

We present an exact approach to analyze and quantify the sensitivity of higher moments of probabilistic loops with symbolic parameters, polynomial arithmetic and potentially uncountable state spaces. Our approach integrates methods from…

编程语言 · 计算机科学 2023-09-06 Marcel Moosbrugger , Julian Müllner , Laura Kovács

In this work, we propose to leverage the advantages of both the Artificial Neural Network (ANN) based Second Order Reliability Method (SORM) and Importance sampling to yield an Adaptive Importance Sampling based ANN, with specific…

数值分析 · 数学 2020-09-25 Tittu Varghese Mathew , P Prajith , RO Ruiz , E Atroshchenko , S Natarajan

Artificial intelligence has transformed the seismic community with deep learning models (DLMs) that are trained to complete specific tasks within workflows. However, there is still lack of robust evaluation frameworks for evaluating and…

机器学习 · 计算机科学 2025-06-03 Samuel Myren , Nidhi Parikh , Rosalyn Rael , Garrison Flynn , Dave Higdon , Emily Casleton

In our today's information society more and more data emerges, e.g.~in social networks, technical applications, or business applications. Companies try to commercialize these data using data mining or machine learning methods. For this…

机器学习 · 统计学 2016-10-17 Tobias Reitmaier , Adrian Calma , Bernhard Sick

This paper aims at improving the classification accuracy of a Support Vector Machine (SVM) classifier with Sequential Minimal Optimization (SMO) training algorithm in order to properly classify failure and normal instances from oil and gas…

机器学习 · 计算机科学 2021-01-01 Zhiyuan Chen , Isa Dino , Nik Ahmad Akram

We develop a machine learning framework that can be applied to data sets derived from the trajectories of Hamilton's equations. The goal is to learn the phase space structures that play the governing role for phase space transport relevant…

动力系统 · 数学 2024-06-19 Shibabrat Naik , Vladimír Krajňák , Stephen Wiggins

In functional MRI (fMRI), effective connectivity analysis aims at inferring the causal influences that brain regions exert on one another. A common method for this type of analysis is structural equation modeling (SEM). We here propose a…

定量方法 · 定量生物学 2024-09-10 G. Marrelec , A. Giron

The idea of curvature analysis has been widely used in subsurface structure interpretation from three-dimensional (3D) seismic data (e.g., fault/fracture detection and geomorphology delineation) by measuring the lateral changes in the…

地球物理 · 物理学 2019-02-05 Haibin Di , Motaz Alfarraj , Ghassan AlRegib

Support vector machine (SVM) is a popular classifier known for accuracy, flexibility, and robustness. However, its intensive computation has hindered its application to large-scale datasets. In this paper, we propose a new optimal leverage…

统计方法学 · 统计学 2023-08-25 Yixin Han , Jun Yu , Nan Zhang , Cheng Meng , Ping Ma , Wenxuan Zhong , Changliang Zou

Gradient boosted models are a fundamental machine learning technique. Robustness to small perturbations of the input is an important quality measure for machine learning models, but the literature lacks a method to prove the robustness of…

机器学习 · 计算机科学 2019-06-27 Gil Einziger , Maayan Goldstein , Yaniv Sa'ar , Itai Segall

As inelastic design for wind is embraced by the engineering community, there is an increasing demand for computational tools that enable the investigation of the nonlinear behavior of wind-excited structures and subsequent development of…

计算工程、金融与科学 · 计算机科学 2022-07-29 Srinivasan Arunachalam , Seymour M. J. Spence