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Graph algorithms, such as shortest path finding, play a crucial role in enabling essential applications and services like infrastructure planning and navigation, making their correctness important. However, thoroughly testing graph…

Software Engineering · Computer Science 2025-02-24 Wenqi Yan , Manuel Rigger , Anthony Wirth , Van-Thuan Pham

Derivative-free optimization has become an important technique used in machine learning for optimizing black-box models. To conduct updates without explicitly computing gradient, most current approaches iteratively sample a random search…

Machine Learning · Statistics 2018-08-03 Liu Liu , Minhao Cheng , Cho-Jui Hsieh , Dacheng Tao

Superiorization reduces, not necessarily minimizes, the value of a target function while seeking constraints-compatibility. This is done by taking a solely feasibility-seeking algorithm, analyzing its perturbations resilience, and…

Optimization and Control · Mathematics 2018-04-03 Yair Censor , Howard Heaton , Reinhard Schulte

We consider the task of classification in the high dimensional setting where the number of features of the given data is significantly greater than the number of observations. To accomplish this task, we propose a heuristic, called sparse…

Machine Learning · Statistics 2015-12-09 Brendan P. W. Ames , Mingyi Hong

Dynamic programming (DP) is a cornerstone of combinatorial optimization, yet its inherently sequential structure has long limited its scalability in scenario-based stochastic programming (SP). This paper introduces a GPU-accelerated…

Optimization and Control · Mathematics 2025-11-25 Jingyi Zhao , Linxin Yang , Haohua Zhang , Tian Ding

An open question in autonomous driving is how best to use simulation to validate the safety of autonomous vehicles. Existing techniques rely on simulated rollouts, which can be inefficient for finding rare failure events, while other…

Robotics · Computer Science 2020-06-29 Anthony Corso , Ritchie Lee , Mykel J. Kochenderfer

We present \texttt{DR-DAQP}, an open-source solver for strongly monotone affine variational inequaliries that combines Douglas-Rachford operator splitting with an active-set acceleration strategy. The key idea is to estimate the active set…

Systems and Control · Electrical Eng. & Systems 2026-04-06 Daniel Arnström , Emilio Benenati , Giuseppe Belgioioso

Although recent advancements in learning-based analog circuit design automation have tackled tasks such as topology generation, device sizing, and layout synthesis, efficient performance evaluation remains a major bottleneck. Traditional…

Machine Learning · Computer Science 2025-11-12 Xiaomeng Yang , Jian Gao , Yanzhi Wang , Xuan Zhang

Variational Quantum Algorithms have emerged as promising tools for solving optimization problems on quantum computers. These algorithms leverage a parametric quantum circuit called ansatz, where its parameters are adjusted by a classical…

Accurate localization is a foundational capacity, required for autonomous vehicles to accomplish other tasks such as navigation or path planning. It is a common practice for vehicles to use GPS to acquire location information. However, the…

Computer Vision and Pattern Recognition · Computer Science 2020-10-21 Dongfang Liu , Yiming Cui , Xiaolei Guo , Wei Ding , Baijian Yang , Yingjie Chen

Fuzzing is a popular vulnerability automated testing method utilized by professionals and broader community alike. However, despite its abilities, fuzzing is a time-consuming, computationally expensive process. This is problematic for the…

Software Engineering · Computer Science 2023-07-25 Michael Wang , Michael Robinson

Deploying autonomous driving systems requires robustness against long-tail scenarios that are rare but safety-critical. While adversarial training offers a promising solution, existing methods typically decouple scenario generation from…

Machine Learning · Computer Science 2026-03-17 Tong Nie , Yihong Tang , Junlin He , Yuewen Mei , Jie Sun , Lijun Sun , Wei Ma , Jian Sun

The need to efficiently calculate first- and higher-order derivatives of increasingly complex models expressed in Python has stressed or exceeded the capabilities of available tools. In this work, we explore techniques from the field of…

Machine Learning · Computer Science 2018-09-27 Bart van Merriënboer , Dan Moldovan , Alexander B Wiltschko

Large-scale models rely heavily on 3D parallelism for distributed training, which utilizes tensor parallelism (TP) as the intra-operator parallelism to partition model states across GPUs. However, TP introduces significant communication…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-05-27 Ding Tang , Lijuan Jiang , Jiecheng Zhou , Minxi Jin , Hengjie Li , Xingcheng Zhang , Zhilin Pei , Jidong Zhai

Fuzzing is an automated application vulnerability detection method. For genetic algorithm-based fuzzing, it can mutate the seed files provided by users to obtain a number of inputs, which are then used to test the objective application in…

Cryptography and Security · Computer Science 2019-06-04 Chenyang Lyu , Shouling Ji , Yuwei Li , Junfeng Zhou , Jianhai Chen , Jing Chen

Recent advances in derivative-free optimization allow efficient approximation of the global-optimal solutions of sophisticated functions, such as functions with many local optima, non-differentiable and non-continuous functions. This…

Machine Learning · Computer Science 2022-09-28 Yu-Ren Liu , Yi-Qi Hu , Hong Qian , Chao Qian , Yang Yu

General purpose graphical processing units (GPU's) offer high processing speeds for certain classes of highly parallelizable computations, such as matrix operations and Fourier transforms, that lie at the heart of first-principles…

Materials Science · Physics 2012-04-20 Maxwell Hutchinson , Michael Widom

We present the newly developed code, GAMER (GPU-accelerated Adaptive MEsh Refinement code), which has adopted a novel approach to improve the performance of adaptive mesh refinement (AMR) astrophysical simulations by a large factor with the…

Instrumentation and Methods for Astrophysics · Physics 2010-02-08 Hsi-Yu Schive , Yu-Chih Tsai , Tzihong Chiueh

The singular value decomposition (SVD) is a powerful tool in modern numerical linear algebra, which underpins computational methods such as principal component analysis (PCA), low-rank approximations, and randomized algorithms. Many…

Mathematical Software · Computer Science 2026-04-10 Ahmad Abdelfattah , Massimiliano Fasi

An enriched approximation space is the span of a conventional basis with a few extra functions included, for example to capture known features of the solution to a computational problem. Adding functions to a basis makes it overcomplete…

Numerical Analysis · Mathematics 2023-08-11 Astrid Herremans , Daan Huybrechs