Mathematical Foundations of Poisoning Attacks on Linear Regression over Cumulative Distribution Functions
Graduate School of Information Science and Technology, The University of Tokyo(东京大学信息科学与技术研究生院);Algorithms Group, IT University of Copenhagen(哥本哈根IT大学算法组)
Learned indexes are a class of index data structures that enable fast search by approximating the cumulative distribution function (CDF) using machine learning models (Kraska et al., SIGMOD'18). However, recent studies have shown that learned indexes are vulnerable to poisoning attacks, where injecting a small number of poison keys into the training data can significantly degrade model accuracy and reduce index performance (Kornaropoulos et al., SIGMOD'22). In this work, we provide a rigorous theoretical analysis of poisoning attacks targeting linear regression models over CDFs, one of the most basic regression models and a core component in many learned indexes. Our main contributions are as follows: (i) We present a theoretical proof characterizing the optimal single-point poisoning attack and show that the existing method yields the optimal attack. (ii) We show that in multi-point attacks, the existing greedy approach is not always optimal, and we rigorously derive the key properties that an optimal attack should satisfy. (iii) We propose a method to compute an upper bound of the multi-point poisoning attack's impact and empirically demonstrate that the loss under the greedy approach is often close to this bound. Our study deepens the theoretical understanding of attack strategies against linear regression models on CDFs and provides a foundation for the theoretical evaluation of attacks and defenses on learned indexes.
University of Illinois at Urbana-Champaign(伊利诺伊大学厄巴纳-香槟分校);Carnegie Mellon University(卡内基梅隆大学);Lawrence Livermore National Laboratory(劳伦斯利弗莫尔国家实验室);Amazon AWS AI(亚马逊AWS人工智能部门)
As reinforcement learning (RL) has achieved near human-level performance in a variety of tasks, its robustness has raised great attention. While a vast body of research has explored test-time (evasion) attacks in RL and corresponding defenses, its robustness against training-time (poisoning) attacks remains largely unanswered. In this work, we focus on certifying the robustness of offline RL in the presence of poisoning attacks, where a subset of training trajectories could be arbitrarily manipulated. We propose the first certification framework, COPA, to certify the number of poisoning trajec…
George Mason University(乔治梅森大学);Cornell University(康奈尔大学);Brown University(布朗大学)
The concept of learned index structures relies on the idea that the input-output functionality of a database index can be viewed as a prediction task and, thus, be implemented using a machine learning model instead of traditional algorithmic techniques. This novel angle for a decades-old problem has inspired numerous exciting results in the intersection of machine learning and data structures. However, the main advantage of learned index structures, i.e., the ability to adjust to the data at hand via the underlying ML-model, can become a disadvantage from a security perspective as it could be …
Toyota Technological Institute Chicago(芝加哥丰田技术研究所)
A backdoor data poisoning attack is an adversarial attack wherein the attacker injects several watermarked, mislabeled training examples into a training set. The watermark does not impact the test-time performance of the model on typical data; however, the model reliably errs on watermarked examples. To gain a better foundational understanding of backdoor data poisoning attacks, we present a formal theoretical framework within which one can discuss backdoor data poisoning attacks for classification problems. We then use this to analyze important statistical and computational issues surrounding…
Provably Robust Adaptation for Language-Empowered Foundation Models
Department of Computing, The Hong Kong Polytechnic University(香港理工大学计算机系);College of Systems and Engineering, National University of Defense Technology(国防科技大学系统工程学院);School of Electronic Information and Electrical Engineering, Shanghai Jiao Tong University(上海交通大学电子信息与电气工程学院);Department of Computer Science and Engineering, Hong Kong University of Science and Technology(香港科技大学计算机科学与工程系)
Privacy Backdoors: Enhancing Membership Inference through Poisoning Pre-trained Models
University of Maryland(马里兰大学);Oregon State University(俄勒冈州立大学);ELLIS Institute Tübingen(埃利斯研究所蒂宾根分部);MPI Intelligent Systems(马克斯·普朗克智能系统研究所);Google DeepMind(谷歌DeepMind)
Poisoning the corpora of protein design systems during pre-training and retrieval
The University of Texas at Austin(德克萨斯大学奥斯汀分校);BSRC “Alexander Fleming,”(亚历山大·弗莱明基础科学研究中心);Mohamed bin Zayed University of Artificial Intelligence (MBZUAI)(穆罕默德·本·扎耶德人工智能大学)
Princeton University(普林斯顿大学);Tsinghua Shenzhen International Graduate School, Tsinghua University(清华大学深圳国际研究生院)
Recent studies revealed that deep learning is susceptible to backdoor poisoning attacks. An adversary can embed a hidden backdoor into a model to manipulate its predictions by only modifying a few training data, without controlling the training process. Currently, a tangible signature has been widely observed across a diverse set of backdoor poisoning attacks -- models trained on a poisoned dataset tend to learn separable latent representations for poison and clean samples. This latent separation is so pervasive that a family of backdoor defenses directly take it as a default assumption (dubbe…
University of Michigan(密歇根大学);Michigan Medicine, University of Michigan(密歇根大学密歇根医学院);Institute for Healthcare Policy & Innovation, University of Michigan(密歇根大学医疗政策与创新研究所)
Standard reinforcement learning (RL) aims to find an optimal policy that identifies the best action for each state. However, in healthcare settings, many actions may be near-equivalent with respect to the reward (e.g., survival). We consider an alternative objective -- learning set-valued policies to capture near-equivalent actions that lead to similar cumulative rewards. We propose a model-free algorithm based on temporal difference learning and a near-greedy heuristic for action selection. We analyze the theoretical properties of the proposed algorithm, providing optimality guarantees and de…