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We propose a principled framework that combines adversarial training and provable robustness verification for training certifiably robust neural networks. We formulate the training problem as a joint optimization problem with both empirical…

Machine Learning · Computer Science 2021-06-08 Jiameng Fan , Wenchao Li

Despite the exploding interest in graph neural networks there has been little effort to verify and improve their robustness. This is even more alarming given recent findings showing that they are extremely vulnerable to adversarial attacks…

Machine Learning · Computer Science 2019-12-20 Aleksandar Bojchevski , Stephan Günnemann

Recent work in adversarial robustness suggests that natural data distributions are localized, i.e., they place high probability in small volume regions of the input space, and that this property can be utilized for designing classifiers…

Machine Learning · Computer Science 2024-05-24 Ambar Pal , René Vidal , Jeremias Sulam

Recent advancements in Large Language Models (LLMs) have led to their widespread adoption in daily applications. Despite their impressive capabilities, they remain vulnerable to adversarial attacks, as even minor meaning-preserving changes…

Machine Learning · Computer Science 2025-12-11 Zixia Wang , Gaojie Jin , Jia Hu , Ronghui Mu

Currently the most popular method of providing robustness certificates is randomized smoothing where an input is smoothed via some probability distribution. We propose a novel approach to randomized smoothing over multiplicative parameters.…

Machine Learning · Computer Science 2022-08-17 Nikita Muravev , Aleksandr Petiushko

We propose a framework for distributed robust statistical learning on {\em big contaminated data}. The Distributed Robust Learning (DRL) framework can reduce the computational time of traditional robust learning methods by several orders of…

Machine Learning · Statistics 2015-02-10 Jiashi Feng , Huan Xu , Shie Mannor

Recent work in imitation learning has shown that having an expert controller that is both suitably smooth and stable enables stronger guarantees on the performance of the learned controller. However, constructing such smoothed expert…

Systems and Control · Electrical Eng. & Systems 2024-09-04 Daniel Pfrommer , Swati Padmanabhan , Kwangjun Ahn , Jack Umenberger , Tobia Marcucci , Zakaria Mhammedi , Ali Jadbabaie

The calibration and training of a neural network is a complex and time-consuming procedure that requires significant computational resources to achieve satisfactory results. Key obstacles are a large number of hyperparameters to select and…

Machine Learning · Computer Science 2023-09-07 Raffaele Giuseppe Cestari , Gabriele Maroni , Loris Cannelli , Dario Piga , Simone Formentin

Reinforcement Learning (RL) has achieved remarkable success in safety-critical areas, but it can be weakened by adversarial attacks. Recent studies have introduced "smoothed policies" in order to enhance its robustness. Yet, it is still…

Machine Learning · Computer Science 2023-12-13 Ronghui Mu , Leandro Soriano Marcolino , Tianle Zhang , Yanghao Zhang , Xiaowei Huang , Wenjie Ruan

The success of deep learning relies on the availability of large-scale annotated data sets, the acquisition of which can be costly, requiring expert domain knowledge. Semi-supervised learning (SSL) mitigates this challenge by exploiting the…

Machine Learning · Computer Science 2020-09-25 Prashnna Kumar Gyawali , Sandesh Ghimire , Linwei Wang

We address the problem of verifying neural networks against geometric transformations of the input image, including rotation, scaling, shearing, and translation. The proposed method computes provably sound piecewise linear constraints for…

Machine Learning · Computer Science 2024-09-24 Ben Batten , Yang Zheng , Alessandro De Palma , Panagiotis Kouvaros , Alessio Lomuscio

Deep learning models are vulnerable to adversarial perturbations, raising important concerns for safety-critical deployment. Empirical defenses can achieve strong robustness in practice, but lack formal guarantees, motivating the need for…

Machine Learning · Computer Science 2026-05-26 Konstantinos Emmanouilidis , Tianjiao Ding , Nghia Nguyen , Nicolas Loizou , René Vidal

Patch robustness certification is an emerging kind of provable defense technique against adversarial patch attacks for deep learning systems. Certified detection ensures the detection of all patched harmful versions of certified samples,…

Software Engineering · Computer Science 2025-12-09 Qilin Zhou , Zhengyuan Wei , Haipeng Wang , Zhuo Wang , W. K. Chan

Split Learning (SL) offers a framework for collaborative model training that respects data privacy by allowing participants to share the same dataset while maintaining distinct feature sets. However, SL is susceptible to backdoor attacks,…

Cryptography and Security · Computer Science 2026-01-27 Zhihao Dou , Dongfei Cui , Weida Wang , Anjun Gao , Yueyang Quan , Mengyao Ma , Viet Vo , Guangdong Bai , Zhuqing Liu , Minghong Fang

Certifiable robustness is a highly desirable property for adopting deep neural networks (DNNs) in safety-critical scenarios, but often demands tedious computations to establish. The main hurdle lies in the massive amount of non-linearity in…

Machine Learning · Computer Science 2022-06-17 Tianlong Chen , Huan Zhang , Zhenyu Zhang , Shiyu Chang , Sijia Liu , Pin-Yu Chen , Zhangyang Wang

Numerous modern optimization and machine learning algorithms rely on subgradient information being trustworthy and hence, they may fail to converge when such information is corrupted. In this paper, we consider the setting where subgradient…

Optimization and Control · Mathematics 2021-03-23 Berkay Turan , Cesar A. Uribe , Hoi-To Wai , Mahnoosh Alizadeh

Randomized smoothing has achieved state-of-the-art certified robustness against $l_2$-norm adversarial attacks. However, it is not wholly resolved on how to find the optimal base classifier for randomized smoothing. In this work, we employ…

Machine Learning · Computer Science 2021-02-24 Chizhou Liu , Yunzhen Feng , Ranran Wang , Bin Dong

To obtain, deterministic guarantees of adversarial robustness, specialized training methods are used. We propose, SABR, a novel such certified training method, based on the key insight that propagating interval bounds for a small but…

Machine Learning · Computer Science 2023-03-10 Mark Niklas Müller , Franziska Eckert , Marc Fischer , Martin Vechev

Machine learning has achieved impressive performance in tomographic reconstruction, but supervised training requires paired measurements and ground-truth images that are often unavailable. This has motivated self-supervised approaches,…

Computer Vision and Pattern Recognition · Computer Science 2026-04-20 Markus Haltmeier , Lukas Neumann , Nadja Gruber , Gyeongha Hwang

A wide range of learning tasks require human input in labeling massive data. The collected data though are usually low quality and contain inaccuracies and errors. As a result, modern science and business face the problem of learning from…

Computer Science and Game Theory · Computer Science 2018-06-14 Themis Gouleakis , Christos Tzamos , Manolis Zampetakis