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The study of quantum computation has been motivated by the hope of finding efficient quantum algorithms for solving classically hard problems. In this context, quantum algorithms by local adiabatic evolution have been shown to solve an…

Quantum Physics · Physics 2009-11-10 Jérémie Roland , Nicolas J. Cerf

We show that any boolean function can be evaluated optimally by a quantum query algorithm that alternates a certain fixed, input-independent reflection with a second reflection that coherently queries the input string. Originally introduced…

Quantum Physics · Physics 2011-07-26 Ben W. Reichardt

Deep neural networks are vulnerable to adversarial examples, which poses security concerns on these algorithms due to the potentially severe consequences. Adversarial attacks serve as an important surrogate to evaluate the robustness of…

Machine Learning · Computer Science 2018-03-23 Yinpeng Dong , Fangzhou Liao , Tianyu Pang , Hang Su , Jun Zhu , Xiaolin Hu , Jianguo Li

Powerful adversarial attack methods are vital for understanding how to construct robust deep neural networks (DNNs) and for thoroughly testing defense techniques. In this paper, we propose a black-box adversarial attack algorithm that can…

Machine Learning · Computer Science 2019-12-11 Yandong Li , Lijun Li , Liqiang Wang , Tong Zhang , Boqing Gong

We provide a new proof of the linear convergence of the alternating direction method of multipliers (ADMM) when one of the objective terms is strongly convex. Our proof is based on a framework for analyzing optimization algorithms…

Optimization and Control · Mathematics 2015-05-20 Robert Nishihara , Laurent Lessard , Benjamin Recht , Andrew Packard , Michael I. Jordan

We show that quantum query complexity satisfies a strong direct product theorem. This means that computing $k$ copies of a function with less than $k$ times the quantum queries needed to compute one copy of the function implies that the…

Quantum Physics · Physics 2012-07-23 Troy Lee , Jérémie Roland

As designers of artificial intelligence try to outwit hackers, both sides continue to hone in on AI's inherent vulnerabilities. Designed and trained from certain statistical distributions of data, AI's deep neural networks (DNNs) remain…

Computer Vision and Pattern Recognition · Computer Science 2022-04-25 Wenzhao Xiang , Hang Su , Chang Liu , Yandong Guo , Shibao Zheng

Adversarial training is an effective learning technique to improve the robustness of deep neural networks. In this study, the influence of adversarial training on deep learning models in terms of fairness, robustness, and generalization is…

Machine Learning · Computer Science 2023-05-19 Xiaoling Zhou , Nan Yang , Ou Wu

The worst-case training principle that minimizes the maximal adversarial loss, also known as adversarial training (AT), has shown to be a state-of-the-art approach for enhancing adversarial robustness. Nevertheless, min-max optimization…

Machine Learning · Computer Science 2021-11-02 Jingkang Wang , Tianyun Zhang , Sijia Liu , Pin-Yu Chen , Jiacen Xu , Makan Fardad , Bo Li

Variational Bayes (VB) inference algorithm is used widely to estimate both the parameters and the unobserved hidden variables in generative statistical models. The algorithm -- inspired by variational methods used in computational physics…

Machine Learning · Statistics 2023-07-27 Hideyuki Miyahara , Vwani Roychowdhury

Deep learning has emerged as a strong and efficient framework that can be applied to a broad spectrum of complex learning problems which were difficult to solve using the traditional machine learning techniques in the past. In the last few…

Machine Learning · Computer Science 2018-10-02 Anirban Chakraborty , Manaar Alam , Vishal Dey , Anupam Chattopadhyay , Debdeep Mukhopadhyay

Many state-of-the-art adversarial training methods for deep learning leverage upper bounds of the adversarial loss to provide security guarantees against adversarial attacks. Yet, these methods rely on convex relaxations to propagate lower…

Machine Learning · Computer Science 2023-04-07 Dimitris Bertsimas , Xavier Boix , Kimberly Villalobos Carballo , Dick den Hertog

Deep neural networks have been shown to be vulnerable to adversarial examples---maliciously crafted examples that can trigger the target model to misbehave by adding imperceptible perturbations. Existing attack methods for k-nearest…

Computer Vision and Pattern Recognition · Computer Science 2019-12-02 Xiaodan Li , Yuefeng Chen , Yuan He , Hui Xue

Adversarial examples are a widely studied phenomenon in machine learning models. While most of the attention has been focused on neural networks, other practical models also suffer from this issue. In this work, we propose an algorithm for…

Machine Learning · Computer Science 2021-11-02 Chawin Sitawarin , Evgenios M. Kornaropoulos , Dawn Song , David Wagner

Deep neural networks are vulnerable to adversarial examples -- minor perturbations added to a model's input which cause the model to output an incorrect prediction. We introduce a new method for improving the efficacy of adversarial attacks…

Computer Vision and Pattern Recognition · Computer Science 2020-12-01 Chris Miller , Soroush Vosoughi

Despite the fact that adversarial training has become the de facto method for improving the robustness of deep neural networks, it is well-known that vanilla adversarial training suffers from daunting robust overfitting, resulting in…

Machine Learning · Computer Science 2024-02-06 Tianjin Huang , Shiwei Liu , Tianlong Chen , Meng Fang , Li Shen , Vlaod Menkovski , Lu Yin , Yulong Pei , Mykola Pechenizkiy

In this note we construct an explicit optimal (negative-weight) adversary matrix for the element distinctness problem, given that the size of the alphabet is sufficiently large.

Quantum Physics · Physics 2012-04-24 Aleksandrs Belovs

It is necessary to improve the performance of some special classes or to particularly protect them from attacks in adversarial learning. This paper proposes a framework combining cost-sensitive classification and adversarial learning…

Machine Learning · Computer Science 2022-06-24 Haojing Shen , Sihong Chen , Ran Wang , Xizhao Wang

Adiabatic quantum computers can solve difficult optimization problems (e.g., the quadratic unconstrained binary optimization problem), and they seem well suited to train machine learning models. In this paper, we describe an adiabatic…

Quantum neural networks (QNNs) provide expressive probabilistic models by leveraging quantum superposition and entanglement, yet their practical training remains challenging due to highly oscillatory loss landscapes and noise inherent to…

Quantum Physics · Physics 2026-01-26 Jaemin Seo