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Kaczmarz's alternating projection method has been widely used for solving a consistent (mostly over-determined) linear system of equations Ax=b. Because of its simple iterative nature with light computation, this method was successfully…

Numerical Analysis · Computer Science 2014-07-22 Tim Wallace , Ali Sekmen

Traction parameters, that characterize the ground-wheel contact dynamics, are the central factor in the energy efficiency of vehicles. To optimize fuel consumption, reduce wear of tires, increase productivity etc., knowledge of current…

Systems and Control · Electrical Eng. & Systems 2023-03-21 Alexander Kobelski , Pavel Osinenko , Stefan Streif

Among recent developments centered around Randomized Kaczmarz (RK), a row-sampling iterative projection method for large-scale linear systems, several adaptions to the method have inspired faster convergence. Focusing solely on…

Numerical Analysis · Mathematics 2026-03-03 James Nguyen , Oleg Presnyakov , Adityakrishnan Radhakhrishnan

Our paper proposes a direct sparse visual odometry method that combines event and RGB-D data to estimate the pose of agile-legged robots during dynamic locomotion and acrobatic behaviors. Event cameras offer high temporal resolution and…

Robotics · Computer Science 2023-05-17 Shifan Zhu , Zhipeng Tang , Michael Yang , Erik Learned-Miller , Donghyun Kim

Many tasks in modern machine learning are observed to involve heavy-tailed gradient noise during the optimization process. To manage this realistic and challenging setting, new mechanisms, such as gradient clipping and gradient…

Optimization and Control · Mathematics 2026-05-19 Zijian Liu

Accurate and up-to-date models describing the be- havior of software systems are seldom available in practice. To address this issue, software engineers may use specification mining techniques, which can automatically derive models that…

Software Engineering · Computer Science 2017-05-24 Fabrizio Pastore , Daniela Micucci , Leonardo Mariani

Real-world robots must operate under evolving dynamics caused by changing operating conditions, external disturbances, and unmodeled effects. These may appear as gradual drifts, transient fluctuations, or abrupt shifts, demanding real-time…

Robotics · Computer Science 2025-12-17 Rishabh Dev Yadav , Avirup Das , Hongyu Song , Samuel Kaski , Wei Pan

Error accumulation is an essential component of the Top-$k$ sparsification method in distributed gradient descent. It implicitly scales the learning rate and prevents the slow-down of lateral movement, but it can also deteriorate…

Machine Learning · Computer Science 2024-09-24 Ali Bereyhi , Ben Liang , Gary Boudreau , Ali Afana

In this paper, we study the problem of sparse mean estimation under adversarial corruptions, where the goal is to estimate the $k$-sparse mean of a heavy-tailed distribution from samples contaminated by adversarial noise. Existing methods…

Machine Learning · Computer Science 2025-08-26 Jianhao Ma , Rui Ray Chen , Yinghui He , Salar Fattahi , Wei Hu

An essential need for many model-based robot control algorithms is the ability to quickly and accurately compute partial derivatives of the equations of motion. State of the art approaches to this problem often use analytical methods based…

Robotics · Computer Science 2022-01-11 Shubham Singh , Ryan P. Russell , Patrick M. Wensing

Adapting models pre-trained on large-scale datasets is a proven way to reach strong performance quickly for down-stream tasks. However, the growth of state-of-the-art mod-els makes traditional full fine-tuning unsuitable and difficult,…

Computer Vision and Pattern Recognition · Computer Science 2026-03-24 Maxime Fontana , Michael Spratling , Miaojing Shi

Time series anomaly detection (TSAD) has traditionally focused on binary classification and often lacks the fine-grained categorization and explanatory reasoning required for transparent decision-making. To address these limitations, we…

Machine Learning · Computer Science 2026-04-17 Yiyuan Yang , Zichuan Liu , Lei Song , Kai Ying , Zhiguang Wang , Tom Bamford , Svitlana Vyetrenko , Jiang Bian , Qingsong Wen

The Extended Randomized Kaczmarz method is a well known iterative scheme which can find the Moore-Penrose inverse solution of a possibly inconsistent linear system and requires only one additional column of the system matrix in each…

Numerical Analysis · Mathematics 2022-07-21 Frank Schöpfer , Dirk A Lorenz , Lionel Tondji , Maximilian Winkler

We investigate high-dimensional sparse regression when both the noise and the design matrix exhibit heavy-tailed behavior. Standard algorithms typically fail in this regime, as heavy-tailed covariates distort the empirical risk geometry. We…

Methodology · Statistics 2026-01-12 Kaiyuan Zhou , Xiaoyu Zhang , Wenyang Zhang , Di Wang

Legged robots leverage ground contacts and the reaction forces they provide to achieve agile locomotion. However, uncertainty coupled with contact discontinuities can lead to failure, especially in real-world environments with unexpected…

Robotics · Computer Science 2023-09-11 Yanhao Yang , Joseph Norby , Justin K. Yim , Aaron M. Johnson

Consider a binary classification problem in which the learner is given a labeled training set, an unlabeled test set, and is restricted to choosing exactly $k$ test points to output as positive predictions. Problems of this kind---{\it…

Machine Learning · Computer Science 2015-10-21 Li-Ping Liu , Thomas G. Dietterich , Nan Li , Zhi-Hua Zhou

This paper proposes a novel inverse kinematics (IK) solver of articulated robotic systems for path planning. IK is a traditional but essential problem for robot manipulation. Recently, data-driven methods have been proposed to quickly solve…

Robotics · Computer Science 2022-09-02 Suhan Park , Mathew Schwartz , Jaeheung Park

The discovery of linear embedding is the key to the synthesis of linear control techniques for nonlinear systems. In recent years, while Koopman operator theory has become a prominent approach for learning these linear embeddings through…

Robotics · Computer Science 2026-03-02 Rajpal Singh , Chandan Kumar Sah , Jishnu Keshavan

Deep neural networks have been shown to perform poorly on adversarial examples. To address this, several techniques have been proposed to increase robustness of a model for image classification tasks. However, in video understanding tasks,…

Computer Vision and Pattern Recognition · Computer Science 2021-10-28 Divya Choudhary , Palash Goyal , Saurabh Sahu

In this paper we propose a model-based approach to the design of online optimization algorithms, with the goal of improving the tracking of the solution trajectory (trajectories) w.r.t. state-of-the-art methods. We focus first on quadratic…

Optimization and Control · Mathematics 2023-07-24 Nicola Bastianello , Ruggero Carli , Sandro Zampieri