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We introduce PHFL, a probabilistic extension of higher-order fixpoint logic, which can also be regarded as a higher-order extension of probabilistic temporal logics such as PCTL and the $\mu^p$-calculus. We show that PHFL is strictly more…

Logic in Computer Science · Computer Science 2023-06-22 Yo Mitani , Naoki Kobayashi , Takeshi Tsukada

Most work in privacy-preserving federated learning (FL) has focused on horizontally partitioned datasets where clients hold the same features and train complete client-level models independently. However, individual data points are often…

Cryptography and Security · Computer Science 2024-02-20 Xinchi Qiu , Heng Pan , Wanru Zhao , Yan Gao , Pedro P. B. Gusmao , William F. Shen , Chenyang Ma , Nicholas D. Lane

Over the past few years, the federated learning ($\texttt{FL}$) community has witnessed a proliferation of new $\texttt{FL}$ algorithms. However, our understating of the theory of $\texttt{FL}$ is still fragmented, and a thorough, formal…

Machine Learning · Computer Science 2025-05-23 Saber Malekmohammadi , Kiarash Shaloudegi , Zeou Hu , Yaoliang Yu

Deep Neural Networks (DNN) are crucial in approximating nonlinear functions across diverse applications, ranging from image classification to control. Verifying specific input-output properties can be a highly challenging task due to the…

Machine Learning · Computer Science 2025-07-22 Tianhao Wei , Hanjiang Hu , Luca Marzari , Kai S. Yun , Peizhi Niu , Xusheng Luo , Changliu Liu

Precisely modeling complex systems like cyber-physical systems is challenging, which often render model-based system verification techniques like model checking infeasible. To overcome this challenge, we propose a method called LAR to…

Software Engineering · Computer Science 2019-11-21 Jingyi Wang , Jun Sun , Shengchao Qin , Cyrille Jegourel

Despite being one of the most basic tasks in software development, debugging is still performed in a mostly manual way, leading to high cost and low performance. To address this problem, researchers have studied promising approaches, such…

Software Engineering · Computer Science 2017-11-28 Higor A. de Souza , Marcos L. Chaim , Fabio Kon

A verification code is an automated test method used to distinguish between humans and computers. Humans can easily identify verification codes, whereas machines cannot. With the development of convolutional neural networks, automatically…

Cryptography and Security · Computer Science 2019-02-13 Dongliang Xu , Bailing Wang , XiaoJiang Du , Xiaoyan Zhu , zhitao Guan , Xiaoyan Yu , Jingyu Liu

Vertical federated learning (VFL) enables a paradigm for vertically partitioned data across clients to collaboratively train machine learning models. Feature selection (FS) plays a crucial role in Vertical Federated Learning (VFL) due to…

Machine Learning · Computer Science 2025-04-16 Ruochen Jin , Boning Tong , Shu Yang , Bojian Hou , Li Shen

Imposing some conditions on derivatives of the known functions, using the Fiber Contraction Theorem we prove the existence of $C^1$ solutions of a class of iterative functional equations which involves iterates of the unknown functions and…

Classical Analysis and ODEs · Mathematics 2022-10-13 Weiwei Shi , Xiao Tang

We study the problem of completely automatically verifying uninterpreted programs---programs that work over arbitrary data models that provide an interpretation for the constants, functions and relations the program uses. The verification…

Programming Languages · Computer Science 2020-08-27 Umang Mathur , P. Madhusudan , Mahesh Viswanathan

The Hessian of a differentiable convex function is positive semidefinite. Therefore, checking the Hessian of a given function is a natural approach to certify convexity. However, implementing this approach is not straightforward since it…

Optimization and Control · Mathematics 2022-10-20 Julien Klaus , Niklas Merk , Konstantin Wiedom , Sören Laue , Joachim Giesen

Deep architectures consist of tens or hundreds of convolutional layers (CLs) that terminate with a few fully connected (FC) layers and an output layer representing the possible labels of a complex classification task. According to the…

Computer Vision and Pattern Recognition · Computer Science 2023-05-30 Yarden Tzach , Yuval Meir , Ofek Tevet , Ronit D. Gross , Shiri Hodassman , Roni Vardi , Ido Kanter

Many problems in static program analysis can be modeled as the context-free language (CFL) reachability problem on directed labeled graphs. The CFL reachability problem can be generally solved in time $O(n^3)$, where $n$ is the number of…

Formal Languages and Automata Theory · Computer Science 2023-08-21 Paraschos Koutris , Shaleen Deep

Vertical federated learning (VFL) has attracted greater and greater interest since it enables multiple parties possessing non-overlapping features to strengthen their machine learning models without disclosing their private data and model…

Machine Learning · Computer Science 2022-09-07 Changxin Liu , Zhenan Fan , Zirui Zhou , Yang Shi , Jian Pei , Lingyang Chu , Yong Zhang

Deep neural network (DNN) verification is an emerging field, with diverse verification engines quickly becoming available. Demonstrating the effectiveness of these engines on real-world DNNs is an important step towards their wider…

Logic in Computer Science · Computer Science 2020-08-11 Sumathi Gokulanathan , Alexander Feldsher , Adi Malca , Clark Barrett , Guy Katz

Cyber-physical systems (CPS) such as autonomous cars, aircraft, and robots are often also safety-critical; thus it is imperative that they operate as intended with a high degree of certainty. Formal verification has been employed to verify…

Programming Languages · Computer Science 2026-05-07 Serra Z. Dane , Jiawei Chen , Marc Pouzet , Jean-Baptiste Jeannin

Learning reliably safe autonomous control is one of the core problems in trustworthy autonomy. However, training a controller that can be formally verified to be safe remains a major challenge. We introduce a novel approach for learning…

Machine Learning · Computer Science 2024-11-19 Junlin Wu , Huan Zhang , Yevgeniy Vorobeychik

Deep learning is developing rapidly and handling common computer vision tasks well. It is time to pay attention to more complex vision tasks, as model size, knowledge, and reasoning capabilities continue to improve. In this paper, we…

Computer Vision and Pattern Recognition · Computer Science 2025-04-16 Pancheng Zhao , Deng-Ping Fan , Shupeng Cheng , Salman Khan , Fahad Shahbaz Khan , David Clifton , Peng Xu , Jufeng Yang

Training large language models (LLMs) at scale requires parallel execution across thousands of devices, incurring enormous computational costs. Yet, these costly distributed trainings are rarely verified, leaving them prone to silent errors…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-06-25 Yunchi Lu , Youshan Miao , Cheng Tan , Peng Huang , Yi Zhu , Xian Zhang , Fan Yang

This study evaluates the effectiveness of Vision Language Models (VLMs) in representing and utilizing multimodal content for fact-checking. To be more specific, we investigate whether incorporating multimodal content improves performance…

Computation and Language · Computer Science 2024-12-09 Recep Firat Cekinel , Pinar Karagoz , Cagri Coltekin