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Robust principal component analysis seeks to recover a low-rank matrix from fully observed data with sparse corruptions. A scalable approach fits a low-rank factorization by minimizing the sum of entrywise absolute residuals, leading to a…

最优化与控制 · 数学 2026-01-30 Pinxi Gong , Lexiao Lai , Jianhao Ma

Continuous-time nonlinear optimal control problems hold great promise in real-world applications. After decades of development, reinforcement learning (RL) has achieved some of the greatest successes as a general nonlinear control design…

系统与控制 · 电气工程与系统科学 2023-07-19 Brent A. Wallace , Jennie Si

The robustness and anomaly detection capability of neural networks are crucial topics for their safe adoption in the real-world. Moreover, the over-parameterization of recent networks comes with high computational costs and raises questions…

机器学习 · 计算机科学 2022-07-12 Morgane Ayle , Bertrand Charpentier , John Rachwan , Daniel Zügner , Simon Geisler , Stephan Günnemann

Matrix completion is one of the crucial tools in modern data science research. Recently, a novel sampling model for matrix completion coined cross-concentrated sampling (CCS) has caught much attention. However, the robustness of the CCS…

机器学习 · 统计学 2025-04-17 HanQin Cai , Longxiu Huang , Chandra Kundu , Bowen Su

As in other estimation scenarios, likelihood based estimation in the normal mixture set-up is highly non-robust against model misspecification and presence of outliers (apart from being an ill-posed optimization problem). A robust…

统计方法学 · 统计学 2023-12-20 Soumya Chakraborty , Ayanendranath Basu , Abhik Ghosh

Motivated by graphical models, we consider the "Sparse Plus Low-rank" decomposition of a positive definite concentration matrix -- the inverse of the covariance matrix. This is a classical problem for which a rich theory and numerical…

最优化与控制 · 数学 2019-01-31 Valentina Ciccone , Augusto Ferrante , Mattia Zorzi

Reconstructing unstable heavy particles requires sophisticated techniques to sift through the large number of possible permutations for assignment of detector objects to the underlying partons. Anapproach based on a generalized attention…

p-spin glasses, characterized by frustrated many-body interactions beyond the conventional pairwise case (p>2), are prototypical disordered systems whose ground-state search is NP-hard and computationally prohibitive for large instances.…

无序系统与神经网络 · 物理学 2026-02-19 Li Zeng , Mutian Shen , Tianle Pu , Zohar Nussinov , Qing Feng , Chao Chen , Zhong Liu , Changjun Fan

The fragility of deep neural networks to adversarially-chosen inputs has motivated the need to revisit deep learning algorithms. Including adversarial examples during training is a popular defense mechanism against adversarial attacks. This…

最优化与控制 · 数学 2020-05-05 Jacob H. Seidman , Mahyar Fazlyab , Victor M. Preciado , George J. Pappas

In a "structured system" of equations, each equation depends on a specified subset of the variables. In this article, we explore properties common to "almost every" system with a fixed structure and how the properties can be read from the…

经典分析与常微分方程 · 数学 2023-04-04 Sana Jahedi , Timothy Sauer , James A. Yorke

In this paper, we investigate the worst-case robust beamforming design and resource block (RB) assignment problem for total transmit power minimization of the central controller while guaranteeing each robot's transmission with target…

信息论 · 计算机科学 2021-06-08 Jing Cheng , Chao Shen , Shuqiang Xia

As the growing penetration of inverter-based resources (IBRs) in modern power systems, the system strength is decreasing. Due to the inherent difference in short-circuit capacity contributions of synchronous generators and inverters, the…

系统与控制 · 电气工程与系统科学 2026-02-13 Zitian Qiu , Yunjie Gu

Compression has emerged as one of the essential deep learning research topics, especially for the edge devices that have limited computation power and storage capacity. Among the main compression techniques, low-rank compression via matrix…

机器学习 · 计算机科学 2021-12-02 Moonjung Eo , Suhyun Kang , Wonjong Rhee

The rapidly increasing number of smart devices on the Internet necessitates an efficient inspection system for safeguarding our networks from suspicious activities such as Address Resolution Protocol (ARP) probes. In this research, we…

密码学与安全 · 计算机科学 2021-08-23 Yuwei Sun , Hideya Ochiai , Hiroshi Esaki

Dynamic race detection is a highly effective runtime verification technique for identifying data races by instrumenting and monitoring concurrent program runs. However, standard dynamic race detection is incompatible with practical weak…

编程语言 · 计算机科学 2025-04-25 Roy Margalit , Michalis Kokologiannakis , Shachar Itzhaky , Ori Lahav

This article introduces a novel framework for data-driven linear quadratic regulator (LQR) design. First, we introduce a reinforcement learning paradigm for on-policy data-driven LQR, where exploration and exploitation are simultaneously…

系统与控制 · 电气工程与系统科学 2024-02-23 Marco Borghesi , Alessandro Bosso , Giuseppe Notarstefano

Replicability is a fundamental challenge in reinforcement learning (RL), as RL algorithms are empirically observed to be unstable and sensitive to variations in training conditions. To formally address this issue, we study \emph{list…

机器学习 · 计算机科学 2025-12-02 Bohan Zhang , Michael Chen , A. Pavan , N. V. Vinodchandran , Lin F. Yang , Ruosong Wang

Intensive algorithmic efforts have been made to enable the rapid improvements of certificated robustness for complex ML models recently. However, current robustness certification methods are only able to certify under a limited perturbation…

机器学习 · 计算机科学 2023-04-13 Zhuolin Yang , Zhikuan Zhao , Boxin Wang , Jiawei Zhang , Linyi Li , Hengzhi Pei , Bojan Karlas , Ji Liu , Heng Guo , Ce Zhang , Bo Li

Voltage control is crucial to large-scale power system reliable operation, as timely reactive power support can help prevent widespread outages. However, there is currently no built in mechanism for power systems to ensure that the voltage…

机器学习 · 计算机科学 2023-05-29 Abhijeet Sahu , Katherine Davis

Neural Probabilistic Circuits (NPCs), a new class of concept bottleneck models, comprise an attribute recognition model and a probabilistic circuit for reasoning. By integrating the outputs from these two modules, NPCs produce compositional…

机器学习 · 计算机科学 2025-09-26 Weixin Chen , Han Zhao