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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…

机器学习 · 统计学 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,…

机器学习 · 计算机科学 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,…

最优化与控制 · 数学 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…

机器学习 · 计算机科学 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,…

机器学习 · 计算机科学 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…

机器学习 · 计算机科学 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…

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…

机器学习 · 计算机科学 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…

机器学习 · 计算机科学 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,…

机器学习 · 计算机科学 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…

密码学与安全 · 计算机科学 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…

密码学与安全 · 计算机科学 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…

密码学与安全 · 计算机科学 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…

机器学习 · 计算机科学 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…

机器学习 · 统计学 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…

分布式、并行与集群计算 · 计算机科学 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…

最优化与控制 · 数学 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…

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…

机器学习 · 计算机科学 2022-02-22 Fei Zheng , Chaochao Chen , Xiaolin Zheng , Mingjie Zhu