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This paper investigates capabilities of Privacy-Preserving Deep Learning (PPDL) mechanisms against various forms of privacy attacks. First, we propose to quantitatively measure the trade-off between model accuracy and privacy losses…

Machine Learning · Computer Science 2020-06-25 Lixin Fan , Kam Woh Ng , Ce Ju , Tianyu Zhang , Chang Liu , Chee Seng Chan , Qiang Yang

Theoretical analyses of Empirical Risk Minimization (ERM) are standardly framed within the Real-RAM model of computation. In this setting, training even simple neural networks is known to be $\exists \mathbb{R}$-complete -- a complexity…

Machine Learning · Computer Science 2026-02-24 Ilan Doron-Arad , Elchanan Mossel

We prove that, for the fundamental regression task of learning a single neuron, training a one-hidden layer ReLU network of any width by gradient flow from a small initialisation converges to zero loss and is implicitly biased to minimise…

Machine Learning · Computer Science 2023-10-03 Dmitry Chistikov , Matthias Englert , Ranko Lazic

Faster inference of deep learning models is highly demanded on edge devices and even servers, for both financial and environmental reasons. To address this issue, we propose SoftNeuro, a novel, high-performance inference framework with…

Machine Learning · Computer Science 2021-10-13 Masaki Hilaga , Yasuhiro Kuroda , Hitoshi Matsuo , Tatsuya Kawaguchi , Gabriel Ogawa , Hiroshi Miyake , Yusuke Kozawa

We study the conjectured relationship between the implicit regularization in neural networks, trained with gradient-based methods, and rank minimization of their weight matrices. Previously, it was proved that for linear networks (of depth…

Machine Learning · Computer Science 2024-12-24 Nadav Timor , Gal Vardi , Ohad Shamir

Private inference (PI) serves an important role in guaranteeing the privacy of user data when interfacing with proprietary machine learning models such as LLMs. However, PI remains practically intractable due to the massive latency costs…

Cryptography and Security · Computer Science 2024-12-03 Patrick Yubeaton , Jianqiao Cambridge Mo , Karthik Garimella , Nandan Kumar Jha , Brandon Reagen , Chinmay Hegde , Siddharth Garg

We establish a simple connection between robust and differentially-private algorithms: private mechanisms which perform well with very high probability are automatically robust in the sense that they retain accuracy even if a constant…

Machine Learning · Statistics 2022-12-02 Kristian Georgiev , Samuel B. Hopkins

Implementing deep neural networks for learning the solution maps of parametric partial differential equations (PDEs) turns out to be more efficient than using many conventional numerical methods. However, limited theoretical analyses have…

Numerical Analysis · Mathematics 2022-08-31 Zhen Lei , Lei Shi , Chenyu Zeng

The theory of deep learning focuses almost exclusively on supervised learning, non-convex optimization using stochastic gradient descent, and overparametrized neural networks. It is common belief that the optimizer dynamics, network…

Machine Learning · Computer Science 2022-02-18 Xinyi Chen , Edgar Minasyan , Jason D. Lee , Elad Hazan

The complexity of black-box algorithms can lead to various challenges, including the introduction of biases. These biases present immediate risks in the algorithms' application. It was, for instance, shown that neural networks can deduce…

Machine Learning · Computer Science 2024-06-04 David Rügamer , Chris Kolb , Tobias Weber , Lucas Kook , Thomas Nagler

Deep neural networks have achieved remarkable performance across various tasks when supplied with large-scale labeled data. However, the collection of labeled data can be time-consuming and labor-intensive. Semi-supervised learning (SSL),…

Machine Learning · Computer Science 2024-06-28 Chaoqi Liang , Guanglei Yang , Lifeng Qiao , Zitong Huang , Hongliang Yan , Yunchao Wei , Wangmeng Zuo

Security concerns in large-scale networked environments are becoming increasingly critical. To further improve the algorithm security from the design perspective of decentralized optimization algorithms, we introduce a new measure: Privacy…

Optimization and Control · Mathematics 2024-12-16 Luqing Wang , Luyao Guo , Shaofu Yang , Xinli Shi

Collaborative inference has recently emerged as an attractive framework for applying deep learning to Internet of Things (IoT) applications by splitting a DNN model into several subpart models among resource-constrained IoT devices and the…

Cryptography and Security · Computer Science 2022-11-22 Jihyeon Ryu , Yifeng Zheng , Yansong Gao , Sharif Abuadbba , Junyaup Kim , Dongho Won , Surya Nepal , Hyoungshick Kim , Cong Wang

In this paper, we investigate the problem of differentially private distributed optimization. Recognizing that lower sensitivity leads to higher accuracy, we analyze the key factors influencing the sensitivity of differentially private…

Optimization and Control · Mathematics 2026-01-05 Furan Xie , Bing Liu , Li Chai

In modern settings of data analysis, we may be running our algorithms on datasets that are sensitive in nature. However, classical machine learning and statistical algorithms were not designed with these risks in mind, and it has been…

Data Structures and Algorithms · Computer Science 2021-08-21 Huanyu Zhang

Insider threats, as one type of the most challenging threats in cyberspace, usually cause significant loss to organizations. While the problem of insider threat detection has been studied for a long time in both security and data mining…

Cryptography and Security · Computer Science 2020-05-27 Shuhan Yuan , Xintao Wu

With the growing adoption of privacy-preserving machine learning algorithms, such as Differentially Private Stochastic Gradient Descent (DP-SGD), training or fine-tuning models on private datasets has become increasingly prevalent. This…

Cryptography and Security · Computer Science 2025-03-05 Hong Guan , Lei Yu , Lixi Zhou , Li Xiong , Kanchan Chowdhury , Lulu Xie , Xusheng Xiao , Jia Zou

LayerNorm is a critical component in modern large language models (LLMs) for stabilizing training and ensuring smooth optimization. However, it introduces significant challenges in mechanistic interpretability, outlier feature suppression,…

Machine Learning · Computer Science 2024-11-19 Nandan Kumar Jha , Brandon Reagen

Convex functions and their gradients play a critical role in mathematical imaging, from proximal optimization to Optimal Transport. The successes of deep learning has led many to use learning-based methods, where fixed functions or…

Machine Learning · Computer Science 2025-04-09 Anne Gagneux , Mathurin Massias , Emmanuel Soubies , Rémi Gribonval

Given a training set, a loss function, and a neural network architecture, it is often taken for granted that optimal network parameters exist, and a common practice is to apply available optimization algorithms to search for them. In this…

Neural and Evolutionary Computing · Computer Science 2023-12-06 Quoc-Tung Le , Elisa Riccietti , Rémi Gribonval
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