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Material extrusion is one of the most commonly used approaches within the additive manufacturing processes available. Despite its popularity and related technical advancements, process reliability and quality assurance remain only partially…

This paper studies worst-case robust optimal tracking using noisy input-output data. We utilize behavioral system theory to represent system trajectories, while avoiding explicit system identification. We assume that the recent output data…

最优化与控制 · 数学 2021-06-28 Liang Xu , Mustafa Sahin Turan , Baiwei Guo , Giancarlo Ferrari-Trecate

The problem of clustering noisy and incompletely observed high-dimensional data points into a union of low-dimensional subspaces and a set of outliers is considered. The number of subspaces, their dimensions, and their orientations are…

机器学习 · 统计学 2015-08-24 Reinhard Heckel , Helmut Bölcskei

We introduce a criterion, resilience, which allows properties of a dataset (such as its mean or best low rank approximation) to be robustly computed, even in the presence of a large fraction of arbitrary additional data. Resilience is a…

机器学习 · 计算机科学 2017-11-28 Jacob Steinhardt , Moses Charikar , Gregory Valiant

Nonparametric methods are widely applicable to statistical inference problems, since they rely on a few modeling assumptions. In this context, the fresh look advocated here permeates benefits from variable selection and compressive…

机器学习 · 统计学 2015-03-19 Gonzalo Mateos , Georgios B. Giannakis

The accuracy of machine learning interatomic potentials suffers from reference data that contains numerical noise. Often originating from unconverged or inconsistent electronic-structure calculations, this noise is challenging to identify.…

机器学习 · 统计学 2026-02-10 Terry C. W. Lam , Niamh O'Neill , Christoph Schran , Lars L. Schaaf

In many machine learning tasks, a common approach for dealing with large-scale data is to build a small summary, {\em e.g.,} coreset, that can efficiently represent the original input. However, real-world datasets usually contain outliers…

机器学习 · 计算机科学 2022-01-24 Zixiu Wang , Yiwen Guo , Hu Ding

From an engineering perspective, a design should not only perform well in an ideal condition, but should also resist noises. Such a design methodology, namely robust design, has been widely implemented in the industry for product quality…

机器学习 · 计算机科学 2021-12-09 Jia-Qi Yang , Ke-Bin Fan , Hao Ma , De-Chuan Zhan

This paper delivers improved theoretical guarantees for the convex programming approach in low-rank matrix estimation, in the presence of (1) random noise, (2) gross sparse outliers, and (3) missing data. This problem, often dubbed as…

机器学习 · 统计学 2022-09-13 Yuxin Chen , Jianqing Fan , Cong Ma , Yuling Yan

Physics-constrained data-driven computing is an emerging hybrid approach that integrates universal physical laws with data-driven models of experimental data for scientific computing. A new data-driven simulation approach coupled with a…

计算工程、金融与科学 · 计算机科学 2020-04-22 Qizhi He , Jiun-Shyan Chen

Noisy data are often viewed as a challenge for decision-making. This paper studies a distributionally robust optimization (DRO) that shows how such noise can be systematically incorporated. Rather than applying DRO to the noisy empirical…

最优化与控制 · 数学 2025-09-03 Chung-Han Hsieh , Rong Gan

Dissipativity properties have proven to be very valuable for systems analysis and controller design. With the rising amount of available data, there has therefore been an increasing interest in determining dissipativity properties from…

系统与控制 · 电气工程与系统科学 2020-10-06 Anne Koch , Julian Berberich , Frank Allgöwer

We extend the model-free Data-Driven computing paradigm to solids and structures that are stochastic due to intrinsic randomness in the material behavior. The behavior of such materials is characterized by a likelihood measure instead of a…

计算工程、金融与科学 · 计算机科学 2022-11-23 Erik Prume , Stefanie Reese , Michael Ortiz

Real-world network applications must cope with failing nodes, malicious attacks, or nodes facing corrupted data - data classified as outliers. Our work addresses these concerns in the scope of the sensor network localization problem where,…

最优化与控制 · 数学 2021-10-05 Claudia Soares , João Gomes

Tensor regression is an important tool for tensor data analysis, but existing works have not considered the impact of outliers, making them potentially sensitive to such data points. This paper proposes a low tubal rank robust regression…

统计方法学 · 统计学 2026-05-11 Zihao Song , Jicai Liu , Heng Lian , Weihua Zhao

Robust physics (e.g., governing equations and laws) discovery is of great interest for many engineering fields and explainable machine learning. A critical challenge compared with general training is that the term and format of governing…

数值分析 · 数学 2021-02-15 Zhiming Zhang , Yongming Liu

Impulsed noise outliers are data points that differs significantly from other observations.They are generally removed from the data set through local regression or Kalman filter algorithm.However, these methods, or their generalizations,…

统计方法学 · 统计学 2022-08-02 Bertrand Cloez , Bénédicte Fontez , Eliel González García , Isabelle Sanchez

This paper proposes risk-averse and risk-agnostic formulations to robust design in which solutions that satisfy the system requirements for a set of scenarios are pursued. These scenarios, which correspond to realizations of uncertain…

最优化与控制 · 数学 2025-11-07 Luis G. Crespo , Bret Stanford , Natalia Alexandrov

The present paper proposes a data-driven sensor selection method for a high-dimensional nondynamical system with strongly correlated measurement noise. The proposed method is based on proximal optimization and determines sensor locations by…

信号处理 · 电气工程与系统科学 2022-11-29 Takayuki Nagata , Keigo Yamada , Taku Nonomura , Kumi Nakai , Yuji Saito , Shunsuke Ono

We propose an algorithm based on online convex optimization for controlling discrete-time linear dynamical systems. The algorithm is data-driven, i.e., does not require a model of the system, and is able to handle a priori unknown and…

最优化与控制 · 数学 2022-11-17 Marko Nonhoff , Matthias A. Müller