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Several researchers have proposed minimisation of maximum mean discrepancy (MMD) as a method to quantise probability measures, i.e., to approximate a target distribution by a representative point set. We consider sequential algorithms that…

Machine Learning · Statistics 2021-02-15 Onur Teymur , Jackson Gorham , Marina Riabiz , Chris. J. Oates

Current machine learning models achieve super-human performance in many real-world applications. Still, they are susceptible against imperceptible adversarial perturbations. The most effective solution for this problem is adversarial…

Machine Learning · Computer Science 2023-01-26 Mohammad Azizmalayeri , Arman Zarei , Alireza Isavand , Mohammad Taghi Manzuri , Mohammad Hossein Rohban

Kernel techniques are among the most popular and flexible approaches in data science allowing to represent probability measures without loss of information under mild conditions. The resulting mapping called mean embedding gives rise to a…

Machine Learning · Statistics 2024-11-27 Linda Chamakh , Zoltan Szabo

Many scientific and engineering applications are formulated as inverse problems associated with stochastic models. In such cases the unknown quantities are distributions. The applicability of traditional methods is limited because of their…

Numerical Analysis · Mathematics 2019-10-16 Kailai Xu , Eric Darve

Detection of adversarial examples has been a hot topic in the last years due to its importance for safely deploying machine learning algorithms in critical applications. However, the detection methods are generally validated by assuming a…

Computer Vision and Pattern Recognition · Computer Science 2022-07-01 Federica Granese , Marine Picot , Marco Romanelli , Francisco Messina , Pablo Piantanida

A family of maximum mean discrepancy (MMD) kernel two-sample tests is introduced. Members of the test family are called Block-tests or B-tests, since the test statistic is an average over MMDs computed on subsets of the samples. The choice…

Machine Learning · Computer Science 2014-02-11 Wojciech Zaremba , Arthur Gretton , Matthew Blaschko

Evaluating adversarial robustness amounts to finding the minimum perturbation needed to have an input sample misclassified. The inherent complexity of the underlying optimization requires current gradient-based attacks to be carefully…

Machine Learning · Computer Science 2021-11-22 Maura Pintor , Fabio Roli , Wieland Brendel , Battista Biggio

Likelihood-free inference methods typically make use of a distance between simulated and real data. A common example is the maximum mean discrepancy (MMD), which has previously been used for approximate Bayesian computation, minimum…

Methodology · Statistics 2023-05-11 Ayush Bharti , Masha Naslidnyk , Oscar Key , Samuel Kaski , François-Xavier Briol

Imitation learning has been widely used to learn control policies for autonomous driving based on pre-recorded data. However, imitation learning based policies have been shown to be susceptible to compounding errors when encountering states…

Machine Learning · Computer Science 2021-07-12 Sampo Kuutti , Saber Fallah , Richard Bowden

While state-of-the-art Deep Neural Network (DNN) models are considered to be robust to random perturbations, it was shown that these architectures are highly vulnerable to deliberately crafted perturbations, albeit being…

Machine Learning · Computer Science 2021-06-03 Omer Faruk Tuna , Ferhat Ozgur Catak , M. Taner Eskil

Generative adversarial networks (GANs) generate data based on minimizing a divergence between two distributions. The choice of that divergence is therefore critical. We argue that the divergence must take into account the hypothesis set and…

Machine Learning · Computer Science 2019-11-07 Ben Adlam , Corinna Cortes , Mehryar Mohri , Ningshan Zhang

Anomaly detection is often considered a challenging field of machine learning due to the difficulty of obtaining anomalous samples for training and the need to obtain a sufficient amount of training data. In recent years, autoencoders have…

Machine Learning · Computer Science 2018-10-15 Yotam Intrator , Gilad Katz , Asaf Shabtai

Adversarial training tends to result in models that are less accurate on natural (unperturbed) examples compared to standard models. This can be attributed to either an algorithmic shortcoming or a fundamental property of the training data…

Machine Learning · Computer Science 2021-07-02 Alireza Mousavi Hosseini , Amir Mohammad Abouei , Mohammad Hossein Rohban

Over the past decade, numerous theories have been proposed to explain the widespread vulnerability of deep neural networks to adversarial evasion attacks. Among these, the theory of non-robust features proposed by Ilyas et al. has been…

Machine Learning · Computer Science 2026-01-05 Jennifer Crawford , Amol Khanna , Fred Lu , Amy R. Wagoner , Stella Biderman , Andre T. Nguyen , Edward Raff

We introduce a two-player contest for evaluating the safety and robustness of machine learning systems, with a large prize pool. Unlike most prior work in ML robustness, which studies norm-constrained adversaries, we shift our focus to…

Machine Learning · Statistics 2018-09-25 Tom B. Brown , Nicholas Carlini , Chiyuan Zhang , Catherine Olsson , Paul Christiano , Ian Goodfellow

Machine learning models, especially based on deep architectures are used in everyday applications ranging from self driving cars to medical diagnostics. It has been shown that such models are dangerously susceptible to adversarial samples,…

Machine Learning · Computer Science 2017-11-21 Lovedeep Gondara

We consider the question of Gaussian mean testing, a fundamental task in high-dimensional distribution testing and signal processing, subject to adversarial corruptions of the samples. We focus on the relative power of different…

Data Structures and Algorithms · Computer Science 2023-07-21 Clément L. Canonne , Samuel B. Hopkins , Jerry Li , Allen Liu , Shyam Narayanan

We present a study of a kernel-based two-sample test statistic related to the Maximum Mean Discrepancy (MMD) in the manifold data setting, assuming that high-dimensional observations are close to a low-dimensional manifold. We characterize…

Machine Learning · Statistics 2024-02-27 Xiuyuan Cheng , Yao Xie

Measuring uncertainty is a promising technique for detecting adversarial examples, crafted inputs on which the model predicts an incorrect class with high confidence. But many measures of uncertainty exist, including predictive en- tropy…

Machine Learning · Statistics 2018-03-26 Lewis Smith , Yarin Gal

Maximum mean discrepancy (MMD) is a particularly useful distance metric for differentially private data generation: when used with finite-dimensional features it allows us to summarize and privatize the data distribution once, which we can…

Machine Learning · Computer Science 2024-02-29 Yilin Yang , Kamil Adamczewski , Danica J. Sutherland , Xiaoxiao Li , Mijung Park
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