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Constrained optimization problems where both the objective and constraints may be nonsmooth and nonconvex arise across many learning and data science settings. In this paper, we show for any Lipschitz, weakly convex objectives and…

Optimization and Control · Mathematics 2025-01-17 Zhichao Jia , Benjamin Grimmer

Face recognition is a widely used authentication technology in practice, where robustness is required. It is thus essential to have an efficient and easy-to-use method for evaluating the robustness of (possibly third-party) trained face…

Software Engineering · Computer Science 2025-05-01 Ruihan Zhang , Jun Sun

Current methods for training robust networks lead to a drop in test accuracy, which has led prior works to posit that a robustness-accuracy tradeoff may be inevitable in deep learning. We take a closer look at this phenomenon and first show…

Machine Learning · Computer Science 2020-07-14 Yao-Yuan Yang , Cyrus Rashtchian , Hongyang Zhang , Ruslan Salakhutdinov , Kamalika Chaudhuri

Randomized smoothing (RS) has been shown to be a fast, scalable technique for certifying the robustness of deep neural network classifiers. However, methods based on RS require augmenting data with large amounts of noise, which leads to…

Machine Learning · Computer Science 2022-05-13 Ameya Joshi , Minh Pham , Minsu Cho , Leonid Boytsov , Filipe Condessa , J. Zico Kolter , Chinmay Hegde

Foundation models like CLIP (Contrastive Language-Image Pretraining) have revolutionized vision-language tasks by enabling zero-shot and few-shot learning through cross-modal alignment. However, their computational complexity and large…

Computer Vision and Pattern Recognition · Computer Science 2025-05-26 Li Zhong , Ahmed Ghazal , Jun-Jun Wan , Frederik Zilly , Patrick Mackens , Joachim E. Vollrath , Bogdan Sorin Coseriu

Certified robustness circumvents the fragility of defences against adversarial attacks, by endowing model predictions with guarantees of class invariance for attacks up to a calculated size. While there is value in these certifications, the…

Machine Learning · Computer Science 2023-09-21 Andrew C. Cullen , Paul Montague , Shijie Liu , Sarah M. Erfani , Benjamin I. P. Rubinstein

Convolutional Neural Networks (CNNs) are pivotal in image classification tasks due to their robust feature extraction capabilities. However, their high computational and memory requirements pose challenges for deployment in…

Computer Vision and Pattern Recognition · Computer Science 2025-01-28 Nathan Isong

Training convolutional neural networks with a Lipschitz constraint under the $l_{2}$ norm is useful for provable adversarial robustness, interpretable gradients, stable training, etc. While 1-Lipschitz networks can be designed by imposing a…

Machine Learning · Computer Science 2021-06-15 Sahil Singla , Soheil Feizi

End-to-end audio-conditioned latent diffusion models (LDMs) have been widely adopted for audio-driven portrait animation, demonstrating their effectiveness in generating lifelike and high-resolution talking videos. However, direct…

Computer Vision and Pattern Recognition · Computer Science 2025-03-14 Chunyu Li , Chao Zhang , Weikai Xu , Jingyu Lin , Jinghui Xie , Weiguo Feng , Bingyue Peng , Cunjian Chen , Weiwei Xing

This paper examines the asymptotic convergence properties of Lipschitz interpolation methods within the context of bounded stochastic noise. In the first part of the paper, we establish probabilistic consistency guarantees of the classical…

Optimization and Control · Mathematics 2023-10-12 Julien Walden Huang , Stephen Roberts , Jan-Peter Calliess

Lipschitz constants for linear MPC are useful for certifying inherent robustness against unmodeled disturbances or robustness for neural network-based approximations of the control law. In both cases, knowing the minimum Lipschitz constant…

Optimization and Control · Mathematics 2024-07-10 Dieter Teichrib , Moritz Schulze Darup

Transferability of adversarial examples is a well-known property that endangers all classification models, even those that are only accessible through black-box queries. Prior work has shown that an ensemble of models is more resilient to…

Machine Learning · Computer Science 2024-10-08 Ali Ebrahimpour-Boroojeny , Hari Sundaram , Varun Chandrasekaran

Generative learning, recognized for its effective modeling of data distributions, offers inherent advantages in handling out-of-distribution instances, especially for enhancing robustness to adversarial attacks. Among these, diffusion…

Machine Learning · Computer Science 2025-02-25 Huanran Chen , Yinpeng Dong , Shitong Shao , Zhongkai Hao , Xiao Yang , Hang Su , Jun Zhu

We propose an algorithm to enhance certified robustness of a deep model ensemble by optimally weighting each base model. Unlike previous works on using ensembles to empirically improve robustness, our algorithm is based on optimizing a…

Machine Learning · Statistics 2019-11-01 Huan Zhang , Minhao Cheng , Cho-Jui Hsieh

Generative neural networks can be used to specify continuous transformations between images via latent-space interpolation. However, certifying that all images captured by the resulting path in the image manifold satisfy a given property…

Machine Learning · Computer Science 2020-05-01 Matthew Mirman , Timon Gehr , Martin Vechev

In this paper, we analyze the mirror descent algorithm for non-smooth optimization problems in which the objective function is relatively strongly convex, without relying on the standard Lipschitz continuity assumption commonly used in the…

Optimization and Control · Mathematics 2026-03-03 Mohammad S. Alkousa , Fedor S. Stonyakin

Large pre-trained models such as CLIP or ALIGN offer consistent accuracy across a range of data distributions when performing zero-shot inference (i.e., without fine-tuning on a specific dataset). Although existing fine-tuning methods…

Deriving sharp and computable upper bounds of the Lipschitz constant of deep neural networks is crucial to formally guarantee the robustness of neural-network based models. We analyse three existing upper bounds written for the $l^2$ norm.…

Machine Learning · Computer Science 2024-10-29 Moreno Pintore , Bruno Després

Novel computer vision architectures monopolize the spotlight, but the impact of the model architecture is often conflated with simultaneous changes to training methodology and scaling strategies. Our work revisits the canonical ResNet (He…

Computer Vision and Pattern Recognition · Computer Science 2021-03-16 Irwan Bello , William Fedus , Xianzhi Du , Ekin D. Cubuk , Aravind Srinivas , Tsung-Yi Lin , Jonathon Shlens , Barret Zoph

This paper examines the robustness of a multi-modal computer vision model, CLIP (Contrastive Language-Image Pretraining), in the context of unsupervised learning. The main objective is twofold: first, to evaluate the robustness of CLIP, and…

Computer Vision and Pattern Recognition · Computer Science 2023-09-20 Clement Laroudie , Andrei Bursuc , Mai Lan Ha , Gianni Franchi