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This paper introduces efficient modifications to neural network-based sequence processing approaches, laying new grounds for scalable privacy-preserving machine learning under Fully Homomorphic Encryption (FHE). Transformers are now…

Machine Learning · Computer Science 2026-03-24 Rickard Brännvall , Tony Zhang , Henrik Forsgren , Andrei Stoian , Fredrik Sandin , Marcus Liwicki

This paper establishes an approximation theorem for randomized neural networks (RaNNs) whose hidden-layer parameters are uniformly sampled from a prescribed bounded domain. Our analysis shows that, for RaNNs of the form $\mathop{\sum}_i W_i…

Numerical Analysis · Mathematics 2026-04-13 Ran Bi , Weibing Deng

In the context of multivariate nonparametric regression with missing covariates, we propose Pattern Embedded Neural Networks (PENNs), which can be applied in conjunction with any existing imputation technique. In addition to a neural…

Methodology · Statistics 2025-04-30 Tianyi Ma , Tengyao Wang , Richard J. Samworth

Photonic neural networks offer a promising alternative to traditional electronic systems for machine learning accelerators due to their low latency and energy efficiency. However, the challenge of implementing the backpropagation algorithm…

Activation function has a significant impact on the dynamics, convergence, and performance of deep neural networks. The search for a consistent and high-performing activation function has always been a pursuit during deep learning model…

Computer Vision and Pattern Recognition · Computer Science 2024-09-17 Abdur Rahman , Lu He , Haifeng Wang

The use of neural networks to approximate partial differential equations (PDEs) has gained significant attention in recent years. However, the approximation of PDEs with localised phenomena, e.g., sharp gradients and singularities, remains…

Numerical Analysis · Mathematics 2025-01-30 Santiago Badia , Wei Li , Alberto F. Martín

Billions of dollars and countless GPU hours are currently spent on training Deep Neural Networks (DNNs) for a variety of tasks. Thus, it is essential to determine the difficulty of extracting all the parameters of such neural networks when…

Privacy-preserving deep learning is crucial for deploying deep neural network based solutions, especially when the model works on data that contains sensitive information. Most privacy-preserving methods lead to undesirable performance…

Cryptography and Security · Computer Science 2019-09-19 Lichao Sun , Yingbo Zhou , Ji Wang , Jia Li , Richard Sochar , Philip S. Yu , Caiming Xiong

Sparse Neural Networks (SNNs) can potentially demonstrate similar performance to their dense counterparts while saving significant energy and memory at inference. However, the accuracy drop incurred by SNNs, especially at high pruning…

Machine Learning · Computer Science 2023-06-06 Mohammad Loni , Aditya Mohan , Mehdi Asadi , Marius Lindauer

In this paper, we propose a low-power hardware for efficient deployment of binarized neural networks (BNNs) that have been trained for physiological datasets. BNNs constrain weights and feature-map to 1 bit, can pack in as many 1-bit…

Signal Processing · Electrical Eng. & Systems 2019-03-28 Morteza Hosseini , Hirenkumar Paneliya , Uttej Kallakuri , Mohit Khatwani , Tinoosh Mohsenin

Medical imaging data contain sensitive patient information requiring strong privacy protection. Many analytical setups require data to be sent to a server for inference purposes. Homomorphic encryption (HE) provides a solution by allowing…

Image and Video Processing · Electrical Eng. & Systems 2025-06-23 Jonghun Kim , Gyeongdeok Jo , Sinyoung Ra , Hyunjin Park

Privacy-preserving network anomaly detection has become an essential area of research due to growing concerns over the protection of sensitive data. Traditional anomaly detection models often prioritize accuracy while neglecting the…

Machine Learning · Computer Science 2025-02-19 Shaobo Liu , Zihao Zhao , Weijie He , Jiren Wang , Jing Peng , Haoyuan Ma

Deep neural networks (DNNs) have become powerful tools for modeling complex data structures through sequentially integrating simple functions in each hidden layer. In survival analysis, recent advances of DNNs primarily focus on enhancing…

Machine Learning · Statistics 2025-03-26 Changhui Yuan , Shishun Zhao , Shuwei Li , Xinyuan Song , Zhao Chen

Private Inference (PI) enables deep neural networks (DNNs) to work on private data without leaking sensitive information by exploiting cryptographic primitives such as multi-party computation (MPC) and homomorphic encryption (HE). However,…

Machine Learning · Computer Science 2024-03-14 Jiajie Li , Jinjun Xiong

Physics-Informed Neural Networks (PINNs) are a class of deep neural networks that are trained, using automatic differentiation, to compute the response of systems governed by partial differential equations (PDEs). The training of PINNs is…

Machine Learning · Computer Science 2021-04-27 Mohammad Amin Nabian , Rini Jasmine Gladstone , Hadi Meidani

Graph neural networks (GNNs) naturally align with sparse operators and unstructured discretizations, making them a promising paradigm for physics-informed machine learning in computational mechanics. Motivated by discrete physics losses and…

Machine Learning · Computer Science 2026-02-10 Jianchuan Yang , Xi Chen , Jidong Zhao

We propose a finite-element local basis-based operator learning framework for solving partial differential equations (PDEs). Operator learning aims to approximate mappings from input functions to output functions, where the latter are…

Numerical Analysis · Mathematics 2025-11-03 Zecheng Zhang , Hao Liu , Guosheng Fu , Hayden Schaeffer , Guang Lin

Language models often pre-train on large unsupervised text corpora, then fine-tune on additional task-specific data. However, typical fine-tuning schemes do not prioritize the examples that they tune on. We show that, if you can prioritize…

Computation and Language · Computer Science 2023-05-12 Ian Osband , Seyed Mohammad Asghari , Benjamin Van Roy , Nat McAleese , John Aslanides , Geoffrey Irving

Many Partial Differential Equations (PDEs) do not have analytical solution, and can only be solved by numerical methods. In this context, Physics-Informed Neural Networks (PINN) have become important in the last decades, since it uses a…

Numerical Analysis · Mathematics 2022-11-18 Lawson Oliveira Lima , Julien Rosenberger , Esteban Antier , Frederic Magoules

Homomorphic encryption (HE) and secret sharing (SS) enable computations on encrypted data, providing significant privacy benefits for large transformer-based models (TBM) in sensitive sectors like medicine and finance. However, private TBM…

Cryptography and Security · Computer Science 2025-07-04 Yuntian Chen , Zhanyong Tang , Tianpei Lu , Bingsheng Zhang , Zhiying Shi , Zheng Wang