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A robust $hp$-adaptive finite element framework is presented for the investigation of static cracks in materials characterized by complex, pointwise density variations. Within such heterogeneous media, the equilibrium equation governed by…

Numerical Analysis · Mathematics 2025-12-29 S. M. Mallikarjunaiah

Developing particle-in-cell (PIC) methods using finite element basis sets, and without auxiliary divergence cleaning methods, was a long standing problem until recently. It was shown that if consistent spatial basis functions are used, one…

Plasma Physics · Physics 2021-10-04 Scott O'Connor , Zane D. Crawford , O. H. Ramachandran , John Luginsland , B. Shanker

Monolithic integration of novel materials for unprecedented device functions without modifying the existing photonic component library is the key to advancing heterogeneous silicon photonic integrated circuits. To achieve this, the…

Linear parameter-varying (LPV) models form a powerful model class to analyze and control a (nonlinear) system of interest. Identifying a LPV model of a nonlinear system can be challenging due to the difficulty of selecting the scheduling…

Systems and Control · Computer Science 2020-05-11 Maarten Schoukens , Roland Tóth

Federated fine-tuning enables privacy-preserving LLM adaptation but faces a critical bottleneck: the disparity between LLMs' high memory demands and edge devices' limited capacity. To break the memory barrier, we propose Chain Federated…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-04-09 Yebo Wu , Jingguang Li , Chunlin Tian , Kahou Tam , Zhijiang Guo , Li Li

Steering vectors work for some concepts and layers but fail for others, and practitioners have no way to predict which setting applies before running an intervention. We introduce the Linear Accessibility Profile (LAP), a per-layer…

Machine Learning · Computer Science 2026-04-20 Jayadev Billa

In particle physics experiments, identifying the types of particles registered in a detector is essential for the accurate reconstruction of particle collisions. At Thomas Jefferson National Accelerator Facility (Jefferson Lab), the GlueX…

Instrumentation and Detectors · Physics 2025-09-18 Eric Habjan , Richard Dube , James McIntyre , Mezmur Edo , Richard Jones

We consider discrete Poisson interface problems resulting from linear unfitted finite elements, also called cut finite elements (CutFEM). Three of these unfitted finite element methods known from the literature are studied. All three…

Numerical Analysis · Mathematics 2018-07-27 Thomas Ludescher , Sven Gross , Arnold Reusken

We consider within a finite element approach the usage of different adaptively refined meshes for different variables in systems of nonlinear, time-depended PDEs. To resolve different solution behaviours of these variables, the meshes can…

Numerical Analysis · Mathematics 2010-05-27 Thomas Witkowski , Axel Voigt

In this work we provide new insights into the transformer architecture, and in particular, its best-known variant, BERT. First, we propose a method to measure the degree of non-linearity of different elements of transformers. Next, we focus…

Computation and Language · Computer Science 2021-05-10 Sumu Zhao , Damian Pascual , Gino Brunner , Roger Wattenhofer

Unmanned vehicle navigation concerns estimating attitude, position, and linear velocity of the vehicle the six degrees of freedom (6 DoF). It has been known that the true navigation dynamics are highly nonlinear modeled on the Lie Group of…

Systems and Control · Electrical Eng. & Systems 2021-09-20 Ajay Singh Ludher , Marium Tawhid , Hashim A. Hashim

Real-time fault classification in resource-constrained Internet of Things (IoT) devices is critical for industrial safety, yet training robust models in such heterogeneous environments remains a significant challenge. Standard Federated…

Machine Learning · Computer Science 2025-08-19 Hemanth Macharla , Mayukha Pal

We present an efficient algorithm for the least squares parameter fitting optimized for component separation in multi-frequency CMB experiments. We sidestep some of the problems associated with non-linear optimization by taking advantage of…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-26 Rishi Khatri

Low Gain Avalanche Detectors (LGAD) represent a remarkable advance in high energy particle detection, since they provide a moderate increase (gain ~10) of the collected charge, thus leading to a notable improvement of the signal-to-noise…

Instrumentation and Detectors · Physics 2016-05-04 Pablo Fernandez-Martinez , David Flores , Salvador Hidalgo , Virginia Greco , Angel Merlos , Giulio Pellegrini , David Quirion

Laser Additive Manufacturing (LAM) presents unparalleled opportunities for fabricating complex, high-performance structures and components with unique material properties. Despite these advancements, achieving consistent part quality and…

Signal Processing · Electrical Eng. & Systems 2024-04-24 Lequn Chen , Guijun Bi , Xiling Yao , Jinlong Su , Chaolin Tan , Wenhe Feng , Michalis Benakis , Youxiang Chew , Seung Ki Moon

Reset controllers have demonstrated their effectiveness in enhancing performance in precision motion systems. To further exploiting the potential of reset controllers, this study introduces a parallel-partial reset control structure.…

Systems and Control · Electrical Eng. & Systems 2024-06-25 Xinxin Zhang , S. Hassan HosseinNia

Accurate particle identification (PID) is one of the most important aspects of the LHCb experiment. Modern machine learning techniques such as neural networks (NNs) are efficiently applied to this problem and are integrated into the LHCb…

Data Analysis, Statistics and Probability · Physics 2020-08-26 Artem Ryzhikov , Denis Derkach , Mikhail Hushchyn

In this paper, a new model based nonlinear control technique, called PID (Proportional-Integral-Derivative) type sliding surface based sliding mode control is designed using improved reaching law. To improve the performance of the second…

Systems and Control · Electrical Eng. & Systems 2022-09-20 Kirtiman Singh , Prabin Kumar Padhy

Linear and nonlinear distortions in optical communication signals are equalized using an integrated feed-forward Photonic Neural Network (PNN). The PNN is based on a linear stage made of an 8-tap Finite Impulse Response (FIR) filter,…

Hybrid systems have steadily grown in popularity over the last few decades because they ease the task of modeling complicated nonlinear systems. Legged locomotion, robotic manipulation, and additive manufacturing are representative examples…

Systems and Control · Electrical Eng. & Systems 2021-08-18 Isaac A. Spiegel