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Kriging is an efficient machine-learning tool, which allows to obtain an approximate response of an investigated phenomenon on the whole parametric space. Adaptive schemes provide a the ability to guide the experiment yielding new sample…

机器学习 · 计算机科学 2019-07-03 Jan N. Fuhg , Amelie Fau

In this work we present a method, based on the use of Bernstein polynomials, for the numerical resolution of some boundary values problems. The computations have not need of particular approximations of derivatives, such as finite…

数值分析 · 数学 2025-10-20 Gianluca Argentini

In many applications, we have access to the complete dataset but are only interested in the prediction of a particular region of predictor variables. A standard approach is to find the globally best modeling method from a set of candidate…

机器学习 · 统计学 2022-02-21 Jiawei Zhang , Jie Ding , Yuhong Yang

Markov chain Monte Carlo (MCMC) methods are powerful computational tools for analysis of complex statistical problems. However, their computational efficiency is highly dependent on the chosen proposal distribution, which is generally…

统计理论 · 数学 2014-10-02 Isambi S. Mbalawata , Simo Särkkä , Matti Vihola , Heikki Haario

We present a novel method for tuning the regularization hyper-parameter, $\lambda$, of a ridge regression that is faster to compute than leave-one-out cross-validation (LOOCV) while yielding estimates of the regression parameters of equal,…

机器学习 · 统计学 2023-11-06 Shu Yu Tew , Mario Boley , Daniel F. Schmidt

In this paper, we propose a Bi-layer Predictionbased Reduction Branch (BP-RB) framework to speed up the process of finding a high-quality feasible solution for Mixed Integer Programming (MIP) problems. A graph convolutional network (GCN) is…

最优化与控制 · 数学 2022-09-28 Lingying Huang , Xiaomeng Chen , Wei Huo , Jiazheng Wang , Fan Zhang , Bo Bai , Ling Shi

Adaptive multilevel finite element methods are developed and analyzed for certain elliptic systems arising in geometric analysis and general relativity. This class of nonlinear elliptic systems of tensor equations on manifolds is first…

数值分析 · 数学 2010-01-12 Michael Holst

In biomedical studies, we are often interested in the association between different types of covariates and the times to disease events. Because the relationship between the covariates and event times is often complex, standard survival…

统计方法学 · 统计学 2024-01-19 Hoi Min Ng , Kin Yau Wong

We introduce an adaptive finite element scheme for the efficient approximation of a (large) collection of eigenpairs of selfadjoint elliptic operators in which the adaptive refinement is driven by the solution of a single source problem --…

数值分析 · 数学 2025-06-03 Stefano Giani , Jeffrey Ovall , Gabriel Pinochet-Soto

This work proposed kernel selection approaches for probabilistic classifiers based on features produced by the convolutional encoder of a variational autoencoder. Particularly, the developed methodologies allow the selection of the most…

This paper reviews the state-of-the-art model-based adaptive sampling approaches for single-objective black-box optimization (BBO). While BBO literature includes various promising sampling techniques, there is still a lack of comprehensive…

最优化与控制 · 数学 2022-04-25 Nazanin Nezami , Hadis Anahideh

Bayesian On-line Changepoint Detection is extended to on-line model selection and non-stationary spatio-temporal processes. We propose spatially structured Vector Autoregressions (VARs) for modelling the process between changepoints (CPs)…

机器学习 · 统计学 2018-06-07 Jeremias Knoblauch , Theodoros Damoulas

The efficiency of Bayesian optimization (BO) relies heavily on the choice of the Gaussian process (GP) kernel, which plays a central role in balancing exploration and exploitation under limited evaluation budgets. Traditional BO methods…

机器学习 · 计算机科学 2025-09-24 Richard Cornelius Suwandi , Feng Yin , Juntao Wang , Renjie Li , Tsung-Hui Chang , Sergios Theodoridis

We show that adaptive time stepping in particle accelerator simulation is an enhancement for certain problems. The new algorithm has been implemented in the OPAL (Object Oriented Parallel Accelerator Library) framework, and is compared to…

数学物理 · 物理学 2012-11-16 Matthias Toggweiler , Andreas Adelmann , Peter Arbenz , Jianjun J. Yang

In this work, we develop an adaptive, multivariate partitioning algorithm for solving mixed-integer nonlinear programs (MINLP) with multi-linear terms to global optimality. This iterative algorithm primarily exploits the advantages of…

最优化与控制 · 数学 2019-02-05 Harsha Nagarajan , Mowen Lu , Site Wang , Russell Bent , Kaarthik Sundar

This report outlines our team's participation in VCL Challenges B Continual Test_time Adaptation, focusing on the technical details of our approach. Our primary focus is Testtime Adaptation using bi_level adaptations, encompassing…

计算机视觉与模式识别 · 计算机科学 2023-10-16 Chenyu Lin , Yusheng He , Zhengqing Zang , Chenwei Tang , Tao Wang , Jiancheng Lv

Transportation occupies one-third of the amount in the logistics costs, and accordingly transportation systems largely influence the performance of the logistics system. This work presents an adaptive data-driven innovative modular approach…

人工智能 · 计算机科学 2020-01-08 Emir Zunic , Dzenana Donko , Emir Buza

Detectability of failures of linear programming (LP) decoding and its potential for improvement by adding new constraints motivate the use of an adaptive approach in selecting the constraints for the LP problem. In this paper, we make a…

信息论 · 计算机科学 2007-07-13 Mohammad H. Taghavi N. , Paul H. Siegel

We show that the optimal decision policy for several types of Bayesian sequential detection problems has a threshold switching curve structure on the space of posterior distributions. This is established by using lattice programming and…

信息论 · 计算机科学 2015-03-17 Vikram Krishnamurthy

State estimation is a key ingredient in most robotic systems. Often, state estimation is performed using some form of least squares minimization. Basically, all error minimization procedures that work on real-world data use robust kernels…

机器人学 · 计算机科学 2021-02-19 Nived Chebrolu , Thomas Läbe , Olga Vysotska , Jens Behley , Cyrill Stachniss