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Deep neural networks often lack the safety and robustness guarantees needed to be deployed in safety critical systems. Formal verification techniques can be used to prove input-output safety properties of networks, but when properties are…

Machine Learning · Computer Science 2022-05-17 Christopher A. Strong , Sydney M. Katz , Anthony L. Corso , Mykel J. Kochenderfer

Integer-arithmetic-only networks have been demonstrated effective to reduce computational cost and to ensure cross-platform consistency. However, previous works usually report a decline in the inference accuracy when converting well-trained…

Computer Vision and Pattern Recognition · Computer Science 2020-06-23 Hengrui Zhao , Dong Liu , Houqiang Li

We consider the computational complexity of training depth-2 neural networks composed of rectified linear units (ReLUs). We show that, even for the case of a single ReLU, finding a set of weights that minimizes the squared error (even…

Computational Complexity · Computer Science 2018-10-17 Pasin Manurangsi , Daniel Reichman

Understanding the fundamental principles behind the success of deep neural networks is one of the most important open questions in the current literature. To this end, we study the training problem of deep neural networks and introduce an…

Machine Learning · Computer Science 2023-09-27 Tolga Ergen , Mert Pilanci

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

Deep neural networks have emerged as a widely used and effective means for tackling complex, real-world problems. However, a major obstacle in applying them to safety-critical systems is the great difficulty in providing formal guarantees…

Artificial Intelligence · Computer Science 2017-05-22 Guy Katz , Clark Barrett , David Dill , Kyle Julian , Mykel Kochenderfer

This paper attempts to answer the question whether neural network pruning can be used as a tool to achieve differential privacy without losing much data utility. As a first step towards understanding the relationship between neural network…

Machine Learning · Computer Science 2020-03-05 Yangsibo Huang , Yushan Su , Sachin Ravi , Zhao Song , Sanjeev Arora , Kai Li

This paper presents Flash, an optimized private inference (PI) hybrid protocol utilizing both homomorphic encryption (HE) and secure two-party computation (2PC), which can reduce the end-to-end PI latency for deep CNN models less than 1…

Cryptography and Security · Computer Science 2025-01-20 Hyeri Roh , Jinsu Yeo , Yeongil Ko , Gu-Yeon Wei , David Brooks , Woo-Seok Choi

Deep Neural Networks (DNNs) typically require massive amount of computation resource in inference tasks for computer vision applications. Quantization can significantly reduce DNN computation and storage by decreasing the bitwidth of…

Feed-forward ReLU neural networks partition their input domain into finitely many "affine regions" of constant neuron activation pattern and affine behaviour. We analyze their mathematical structure and provide algorithmic primitives for an…

Optimization and Control · Mathematics 2021-03-09 Peter Hinz , Sara van de Geer

As large language models (LLMs) continue to grow in size, fewer users are able to host and run models locally. This has led to increased use of third-party hosting services. However, in this setting, there is a lack of guarantees on the…

Cryptography and Security · Computer Science 2026-02-20 Arka Pal , Louai Zahran , William Gvozdjak , Akilesh Potti , Micah Goldblum

Deep learning classifiers are crucial in the age of artificial intelligence. The device-edge-based collaborative inference has been widely adopted as an efficient framework for promoting its applications in IoT and 5G/6G networks. However,…

Machine Learning · Computer Science 2023-09-07 Jingyi Li , Guocheng Liao , Lin Chen , Xu Chen

Amongst others, the adoption of Rectified Linear Units (ReLUs) is regarded as one of the ingredients of the success of deep learning. ReLU activation has been shown to mitigate the vanishing gradient issue, to encourage sparsity in the…

Machine Learning · Statistics 2021-10-14 Nicola Picchiotti , Marco Gori

The widely used ReLU is favored for its hardware efficiency, {as the implementation at inference is a one bit sign case,} yet suffers from issues such as the ``dying ReLU'' problem, where during training, neurons fail to activate and…

Machine Learning · Computer Science 2025-10-31 Moshe Kimhi , Idan Kashani , Avi Mendelson , Chaim Baskin

Deep neural networks' remarkable ability to correctly fit training data when optimized by gradient-based algorithms is yet to be fully understood. Recent theoretical results explain the convergence for ReLU networks that are wider than…

Machine Learning · Computer Science 2021-02-09 Asaf Noy , Yi Xu , Yonathan Aflalo , Lihi Zelnik-Manor , Rong Jin

Neural Networks (NNs) have increasingly apparent safety implications commensurate with their proliferation in real-world applications: both unanticipated as well as adversarial misclassifications can result in fatal outcomes. As a…

Machine Learning · Computer Science 2021-04-20 Haitham Khedr , James Ferlez , Yasser Shoukry

Machine unlearning enables the removal of specific data from ML models to uphold the right to be forgotten. While approximate unlearning algorithms offer efficient alternatives to full retraining, this work reveals that they fail to…

Machine Learning · Computer Science 2025-07-29 Yaxin Xiao , Qingqing Ye , Li Hu , Huadi Zheng , Haibo Hu , Zi Liang , Haoyang Li , Yijie Jiao

To enhance the computational efficiency of quantized Transformers, we replace the dot-product and Softmax-based attention with an alternative mechanism involving addition and ReLU activation only. This side-steps the expansion to double…

Machine Learning · Computer Science 2025-10-02 Rickard Brännvall , Andrei Stoian

Machine unlearning is an emerging field that selectively removes specific data samples from a trained model. This capability is crucial for addressing privacy concerns, complying with data protection regulations, and correcting errors or…

Machine Learning · Computer Science 2025-01-29 Zitong Li , Qingqing Ye , Haibo Hu

Training a one-node neural network with ReLU activation function (One-Node-ReLU) is a fundamental optimization problem in deep learning. In this paper, we begin with proving the NP-hardness of training One-Node-ReLU. We then present an…

Optimization and Control · Mathematics 2019-05-23 Santanu S. Dey , Guanyi Wang , Yao Xie
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