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Neural networks with REctified Linear Unit (ReLU) activation functions (a.k.a. ReLU networks) have achieved great empirical success in various domains. Nonetheless, existing results for learning ReLU networks either pose assumptions on the…

Machine Learning · Statistics 2019-05-01 Gang Wang , Georgios B. Giannakis , Jie Chen

We can compare the expressiveness of neural networks that use rectified linear units (ReLUs) by the number of linear regions, which reflect the number of pieces of the piecewise linear functions modeled by such networks. However,…

Machine Learning · Computer Science 2019-12-17 Thiago Serra , Srikumar Ramalingam

We provide a theoretical algorithm for checking local optimality and escaping saddles at nondifferentiable points of empirical risks of two-layer ReLU networks. Our algorithm receives any parameter value and returns: local minimum,…

Optimization and Control · Mathematics 2019-05-30 Chulhee Yun , Suvrit Sra , Ali Jadbabaie

Training reliable deep learning models which avoid making overconfident but incorrect predictions is a longstanding challenge. This challenge is further exacerbated when learning has to be differentially private: protection provided to…

Machine Learning · Computer Science 2023-05-31 Stephan Rabanser , Anvith Thudi , Abhradeep Thakurta , Krishnamurthy Dvijotham , Nicolas Papernot

Sparse computation offers a compelling solution for the inference of Large Language Models (LLMs) in low-resource scenarios by dynamically skipping the computation of inactive neurons. While traditional approaches focus on ReLU-based LLMs,…

Machine Learning · Computer Science 2024-02-07 Zhengyan Zhang , Yixin Song , Guanghui Yu , Xu Han , Yankai Lin , Chaojun Xiao , Chenyang Song , Zhiyuan Liu , Zeyu Mi , Maosong Sun

Each year, deep learning demonstrates new and improved empirical results with deeper and wider neural networks. Meanwhile, with existing theoretical frameworks, it is difficult to analyze networks deeper than two layers without resorting to…

Machine Learning · Computer Science 2023-03-28 Hong Jun Jeon , Yifan Zhu , Benjamin Van Roy

Organizational networks are vulnerable to traffic-analysis attacks that enable adversaries to infer sensitive information from the network traffic - even if encryption is used. Typical anonymous communication networks are tailored to the…

Cryptography and Security · Computer Science 2021-04-07 Ludovic Barman , Italo Dacosta , Mahdi Zamani , Ennan Zhai , Apostolos Pyrgelis , Bryan Ford , Jean-Pierre Hubaux , Joan Feigenbaum

Neural network pruning has emerged as a promising approach for deploying LLMs in low-resource scenarios while preserving downstream task performance. However, for the first time, we reveal that such pruning disrupts LLMs' internal…

Machine Learning · Computer Science 2025-09-04 Yao Fu , Runchao Li , Xianxuan Long , Haotian Yu , Xiaotian Han , Yu Yin , Pan Li

Large Language Models (LLMs) with billions of parameters have drastically transformed AI applications. However, their demanding computation during inference has raised significant challenges for deployment on resource-constrained devices.…

Secure multi-party computation (MPC) allows users to offload machine learning inference on untrusted servers without having to share their privacy-sensitive data. Despite their strong security properties, MPC-based private inference has not…

Machine Learning · Computer Science 2023-09-12 Kiwan Maeng , G. Edward Suh

Sufficient statistic perturbation (SSP) is a widely used method for differentially private linear regression. SSP adopts a data-independent approach where privacy noise from a simple distribution is added to sufficient statistics. However,…

Machine Learning · Computer Science 2024-05-27 Cecilia Ferrando , Daniel Sheldon

With the growing use of large language models (LLMs) hosted on cloud platforms to offer inference services, privacy concerns about the potential leakage of sensitive information are escalating. Secure multi-party computation (MPC) is a…

Cryptography and Security · Computer Science 2025-05-13 Guang Yan , Yuhui Zhang , Zimu Guo , Lutan Zhao , Xiaojun Chen , Chen Wang , Wenhao Wang , Dan Meng , Rui Hou

Machine Learning as a Service (MLaaS) exposes sensitive client data to service providers. Private inference mitigates this risk while preserving model functionality. Despite extensive progress in MPC-based solutions, they remain constrained…

Cryptography and Security · Computer Science 2026-04-22 Kaiwen Wang , Xiaolin Chang , Junchao Fan , Yuehan Dong

Private data analysis suffers a costly curse of dimensionality. However, the data often has an underlying low-dimensional structure. For example, when optimizing via gradient descent, the gradients often lie in or near a low-dimensional…

Cryptography and Security · Computer Science 2021-08-12 Vikrant Singhal , Thomas Steinke

We introduce a new private regression setting we call Private Regression in Multiple Outcomes (PRIMO), inspired by the common situation where a data analyst wants to perform a set of $l$ regressions while preserving privacy, where the…

Machine Learning · Computer Science 2025-01-16 Seth Neel

We propose differentially private algorithms for parameter estimation in both low-dimensional and high-dimensional sparse generalized linear models (GLMs) by constructing private versions of projected gradient descent. We show that the…

Machine Learning · Statistics 2020-12-08 T. Tony Cai , Yichen Wang , Linjun Zhang

Large model inference is shifting from cloud to edge due to concerns about the privacy of user interaction data. However, edge devices often struggle with limited computing power, memory, and bandwidth, requiring collaboration across…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-10-02 Zonghang Li , Wenjiao Feng , Mohsen Guizani , Hongfang Yu

This paper introduces scalable, sampling-based algorithms that optimize trained neural networks with ReLU activations. We first propose an iterative algorithm that takes advantage of the piecewise linear structure of ReLU neural networks…

Optimization and Control · Mathematics 2022-06-07 Georgia Perakis , Asterios Tsiourvas

We present an approach for generating differentially private synthetic text using large language models (LLMs), via private prediction. In the private prediction framework, we only require the output synthetic data to satisfy differential…

Machine Learning · Computer Science 2024-10-10 Kareem Amin , Alex Bie , Weiwei Kong , Alexey Kurakin , Natalia Ponomareva , Umar Syed , Andreas Terzis , Sergei Vassilvitskii

With the increasing demands for privacy protection, privacy-preserving machine learning has been drawing much attention in both academia and industry. However, most existing methods have their limitations in practical applications. On the…

Machine Learning · Computer Science 2022-02-22 Fei Zheng , Chaochao Chen , Xiaolin Zheng , Mingjie Zhu