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200 papers

Nonconvex and nonsmooth bi-level optimization poses critical theoretical challenges, while arising in several applications. In this work, we develop a method for nonconvex, nonsmooth bi-level optimization and introduce Binno, a first-order…

Optimization and Control · Mathematics 2026-05-05 Laura Selicato , Flavia Esposito , Andersen Ang

For a time-limited version of the H$_2$ norm defined over a fixed time interval, we obtain a closed form expression of the gradients. After that, we use the gradients to propose a time-limited model order reduction method. The method…

Systems and Control · Electrical Eng. & Systems 2022-01-04 Kasturi Das , Srinivasan Krishnaswamy , Somanath Majhi

The higher-order guaranteed lower eigenvalue bounds of the Laplacian in the recent work by Carstensen, Ern, and Puttkammer [Numer. Math. 149, 2021] require a parameter $C_{\mathrm{st},1}$ that is found $\textit{not}$ robust as the…

Numerical Analysis · Mathematics 2024-07-03 Carsten Carstensen , Benedikt Gräßle , Ngoc Tien Tran

Safe and efficient assistive planning for visually impaired scenarios remains challenging, since existing methods struggle with multi-objective optimization, generalization, and interpretability. In response, this paper proposes a…

Robotics · Computer Science 2026-04-17 Yuting Zeng , Zhiwen Zheng , Jingya Wang , You Zhou , JiaLing Xiao , Yongbin Yu , Manping Fan , Bo Gong , Liyong Ren

This document contains lecture notes from the Ph.D. course given at Scuola Superiore Meridionale by Daniele Di Pietro in February 2025. The goal of the course is to provide an overview of polytopal methods, focusing on the Hybrid High-Order…

Numerical Analysis · Mathematics 2025-03-04 Daniele A. Di Pietro , Jérôme Droniou

The efficient extraction of force constants (FCs) is crucial for the analysis of many thermodynamic materials properties. Approaches based on the systematic enumeration of finite differences scale poorly with system size and can rarely…

Materials Science · Physics 2020-08-03 Fredrik Eriksson , Erik Fransson , Paul Erhart

We present the first stable release of Halotools (v0.2), a community-driven Python package designed to build and test models of the galaxy-halo connection. Halotools provides a modular platform for creating mock universes of galaxies…

Recent research in materials science opens exciting perspectives to design novel quantum materials and devices, but it calls for quantitative predictions of properties which are not accessible in standard first principles packages. PAOFLOW…

H Infinity robust control synthesis for gust load alleviation of very flexible aircraft is presented. The controller is synthesised on a compact reduced-order model comprising 8 degrees of freedom for the UAV configuration and 9 for the…

Computational Engineering, Finance, and Science · Computer Science 2026-04-16 Nikolaos D. Tantaroudas , Ilias Karachalios

With the extensive applications of machine learning models, automatic hyperparameter optimization (HPO) has become increasingly important. Motivated by the tuning behaviors of human experts, it is intuitive to leverage auxiliary knowledge…

Machine Learning · Computer Science 2022-06-07 Yang Li , Yu Shen , Huaijun Jiang , Wentao Zhang , Zhi Yang , Ce Zhang , Bin Cui

We introduce HyCOP, a modular framework that learns parametric PDE solution operators by composing simple modules (advection, diffusion, learned closures, boundary handling) in a query-conditioned way. Rather than learning a monolithic map,…

Computational Engineering, Finance, and Science · Computer Science 2026-05-04 Jinpai Zhao , Nishant Panda , Yen Ting Lin , Eirik Valseth , Diane Oyen , Clint Dawson

This paper analyzes output feedback control of a class of unknown nonlinear systems in the presence of measurement noise using multiple high-gain observers (MHGO). It is well-known that single high-gain observers (HGO) are not able to…

Optimization and Control · Mathematics 2019-06-04 Kasra Esfandiari , Mehran Shakarami

The vision of the Internet-of-Things (IoT) embodies the seam- less discovery, configuration, and interoperability of networked devices in various settings, ranging from home automation and multimedia to autonomous vehicles and manufacturing…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-12-15 Filipe Campos , José Pereira

We demonstrate the use of a new, control-oriented notion of finite state approximation for a particular class of hybrid systems. Specifically, we consider the problem of designing a stabilizing binary output feedback switching controller…

Optimization and Control · Mathematics 2013-10-11 Danielle C. Tarraf , Alexandre Megretski , Munther A. Dahleh

The relaxation in the calculus of variation motivates the numerical analysis of a class of degenerate convex minimization problems with non-strictly convex energy densities with some convexity control and two-sided $p$-growth. The…

Numerical Analysis · Mathematics 2024-07-03 C. Carstensen , N. T. Tran

Proximal policy optimization (PPO) is one of the most popular state-of-the-art on-policy algorithms that has become a standard baseline in modern reinforcement learning with applications in numerous fields. Though it delivers stable…

Machine Learning · Computer Science 2025-02-25 Qisai Liu , Zhanhong Jiang , Hsin-Jung Yang , Mahsa Khosravi , Joshua R. Waite , Soumik Sarkar

A novel MIMO homogeneous Super-Twisting Algorithm is proposed in this paper for nonlinear systems with relative degree one, having a time and state-varying uncertain control matrix. The uncertainty is represented by a constant but unknown…

Systems and Control · Electrical Eng. & Systems 2022-08-09 Juan F. Garcia-Mathey , Jaime A. Moreno

Compliant mechanisms have significant potential in precision applications due to their ability to guide motion without contact. However, an inherent vulnerability to fatigue and mechanical failure has hindered the translation of compliant…

Reinforcement Learning from Human Feedback (RLHF) is currently the leading approach for aligning large language models with human preferences. Typically, these models rely on extensive offline preference datasets for training. However,…

Machine Learning · Computer Science 2024-12-17 Avinandan Bose , Zhihan Xiong , Aadirupa Saha , Simon Shaolei Du , Maryam Fazel

We devise and evaluate numerically a Hybrid High-Order (HHO) method for finite plasticity within a logarithmic strain framework. The HHO method uses as discrete unknowns piecewise polynomials of order $k\ge1$ on the mesh skeleton, together…

Computational Engineering, Finance, and Science · Computer Science 2024-12-20 Mickaël Abbas , Alexandre Ern , Nicolas Pignet