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How can we make machine learning provably robust against adversarial examples in a scalable way? Since certified defense methods, which ensure $\epsilon$-robust, consume huge resources, they can only achieve small degree of robustness in…

Machine Learning · Computer Science 2018-11-21 Hajime Ono , Tsubasa Takahashi , Kazuya Kakizaki

We propose Adaptive Randomized Smoothing (ARS) to certify the predictions of our test-time adaptive models against adversarial examples. ARS extends the analysis of randomized smoothing using $f$-Differential Privacy to certify the adaptive…

Machine Learning · Computer Science 2025-07-11 Saiyue Lyu , Shadab Shaikh , Frederick Shpilevskiy , Evan Shelhamer , Mathias Lécuyer

Few-shot learning aims at rapidly adapting to novel categories with only a handful of samples at test time, which has been predominantly tackled with the idea of meta-learning. However, meta-learning approaches essentially learn across a…

Computer Vision and Pattern Recognition · Computer Science 2021-07-21 Jinhai Yang , Hua Yang , Lin Chen

Robust risk minimisation has several advantages: it has been studied with regards to improving the generalisation properties of models and robustness to adversarial perturbation. We bound the distributionally robust risk for a model class…

Machine Learning · Statistics 2018-09-06 Zac Cranko , Simon Kornblith , Zhan Shi , Richard Nock

Improving and guaranteeing the robustness of deep learning models has been a topic of intense research. Ensembling, which combines several classifiers to provide a better model, has shown to be beneficial for generalisation, uncertainty…

Machine Learning · Computer Science 2023-04-26 Aleksandar Petrov , Francisco Eiras , Amartya Sanyal , Philip H. S. Torr , Adel Bibi

We initiate a program of average smoothness analysis for efficiently learning real-valued functions on metric spaces. Rather than using the Lipschitz constant as the regularizer, we define a local slope at each point and gauge the function…

Statistics Theory · Mathematics 2020-11-10 Yair Ashlagi , Lee-Ad Gottlieb , Aryeh Kontorovich

Several recent results provide theoretical insights into the phenomena of adversarial examples. Existing results, however, are often limited due to a gap between the simplicity of the models studied and the complexity of those deployed in…

Machine Learning · Computer Science 2021-01-05 Jeremias Sulam , Ramchandran Muthukumar , Raman Arora

Conducting pairwise comparisons is a widely used approach in curating human perceptual preference data. Typically raters are instructed to make their choices according to a specific set of rules that address certain dimensions of image…

Computer Vision and Pattern Recognition · Computer Science 2020-11-24 Hossein Talebi , Ehsan Amid , Peyman Milanfar , Manfred K. Warmuth

Unsupervised feature learning often finds low-dimensional embeddings that capture the structure of complex data. For tasks for which prior expert topological knowledge is available, incorporating this into the learned representation may…

Machine Learning · Computer Science 2022-03-08 Robin Vandaele , Bo Kang , Jefrey Lijffijt , Tijl De Bie , Yvan Saeys

Deep learning models have become increasingly useful in many different industries. On the domain of image classification, convolutional neural networks proved the ability to learn robust features for the closed set problem, as shown in many…

Computer Vision and Pattern Recognition · Computer Science 2022-03-01 Rafael S. Pereira , Alexis Joly , Patrick Valduriez , Fabio Porto

Demonstration-based learning has shown great potential in stimulating pretrained language models' ability under limited data scenario. Simply augmenting the input with some demonstrations can significantly improve performance on few-shot…

Computation and Language · Computer Science 2022-10-20 Hongxin Zhang , Yanzhe Zhang , Ruiyi Zhang , Diyi Yang

Smoothness and low dimensional structures play central roles in improving generalization and stability in learning and statistics. This work combines techniques from semi-infinite constrained learning and manifold regularization to learn…

Machine Learning · Computer Science 2023-02-03 Juan Cervino , Luiz F. O. Chamon , Benjamin D. Haeffele , Rene Vidal , Alejandro Ribeiro

We study certified robustness of machine learning classifiers against adversarial perturbations. In particular, we propose the first universally approximated certified robustness (UniCR) framework, which can approximate the robustness…

Machine Learning · Computer Science 2022-07-12 Hanbin Hong , Binghui Wang , Yuan Hong

Randomized smoothing has been shown to provide good certified-robustness guarantees for high-dimensional classification problems. It uses the probabilities of predicting the top two most-likely classes around an input point under a…

Machine Learning · Computer Science 2020-10-26 Aounon Kumar , Alexander Levine , Soheil Feizi , Tom Goldstein

Few-shot learning is a promising approach to molecular property prediction as supervised data is often very limited. However, many important molecular properties depend on complex molecular characteristics -- such as the various 3D…

Machine Learning · Computer Science 2023-10-10 Christopher Fifty , Joseph M. Paggi , Ehsan Amid , Jure Leskovec , Ron Dror

Probabilistic learning is increasingly being tackled as an optimization problem, with gradient-based approaches as predominant methods. When modelling multivariate likelihoods, a usual but undesirable outcome is that the learned model fits…

Machine Learning · Computer Science 2020-10-23 Adrián Javaloy , Isabel Valera

Lipschitz constant is a fundamental property in certified robustness, as smaller values imply robustness to adversarial examples when a model is confident in its prediction. However, identifying the worst-case adversarial examples is known…

Machine Learning · Computer Science 2025-12-16 Yongjin Han , Suhyun Kim

We show a hardness result for random smoothing to achieve certified adversarial robustness against attacks in the $\ell_p$ ball of radius $\epsilon$ when $p>2$. Although random smoothing has been well understood for the $\ell_2$ case using…

Machine Learning · Computer Science 2020-03-06 Avrim Blum , Travis Dick , Naren Manoj , Hongyang Zhang

As a certified defensive technique, randomized smoothing has received considerable attention due to its scalability to large datasets and neural networks. However, several important questions remain unanswered, such as (i) whether the…

Machine Learning · Computer Science 2020-06-09 Tianhang Zheng , Di Wang , Baochun Li , Jinhui Xu

Post-hoc attribution methods aim to explain deep learning predictions by highlighting influential input pixels. However, these explanations are highly non-robust: small, imperceptible input perturbations can drastically alter the…

Machine Learning · Computer Science 2025-06-19 Alaa Anani , Tobias Lorenz , Mario Fritz , Bernt Schiele