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This paper extends the Kikuchi method to give algorithms for decisional $k$-sparse Learning With Errors (LWE) and $k$-sparse Learning Parity with Noise (LPN) problems for higher moduli $q$. We create a Kikuchi graph for a sparse LWE/LPN…

密码学与安全 · 计算机科学 2026-03-31 Shashwat Agrawal , Amitabha Bagchi , Rajendra Kumar

Quantum phase estimation is a paradigmatic problem in quantum sensing andmetrology. Here we show that adaptive methods based on classical machinelearning algorithms can be used to enhance the precision of quantum phase estimation when noisy…

量子物理 · 物理学 2021-09-01 Nelson Filipe Costa , Yasser Omar , Aidar Sultanov , Gheorghe Sorin Paraoanu

Frank-Wolfe algorithms have recently regained the attention of the Machine Learning community. Their solid theoretical properties and sparsity guarantees make them a suitable choice for a wide range of problems in this field. In addition,…

机器学习 · 统计学 2015-10-27 Emanuele Frandi , Ricardo Nanculef , Johan A. K. Suykens

The "Ring Learning with Errors" (RLWE) problem was formulated as a variant of the "Learning with Errors" (LWE) problem, with the purpose of taking advantage of an additional algebraic structure in the underlying considered lattices; this…

密码学与安全 · 计算机科学 2018-02-05 Alberto Pedrouzo-Ulloa , Juan Ramón Troncoso-Pastoriza , Fernando Pérez-González

Federated Learning (FL) enables the training of machine learning models across decentralized clients while preserving data privacy. However, the presence of anomalous or corrupted clients - such as those with faulty sensors or non…

机器学习 · 计算机科学 2026-03-11 Alessandro Licciardi , Davide Leo , Davide Carbone

We show direct and conceptually simple reductions between the classical learning with errors (LWE) problem and its continuous analog, CLWE (Bruna, Regev, Song and Tang, STOC 2021). This allows us to bring to bear the powerful machinery of…

密码学与安全 · 计算机科学 2022-11-03 Aparna Gupte , Neekon Vafa , Vinod Vaikuntanathan

AI-powered attacks on Learning with Errors (LWE), an important hard math problem in post-quantum cryptography, rival or outperform "classical" attacks on LWE under certain parameter settings. Despite the promise of this approach, a dearth…

机器学习 · 计算机科学 2025-12-23 Eshika Saxena , Alberto Alfarano , François Charton , Emily Wenger , Kristin Lauter

Recent work showed that ML-based attacks on Learning with Errors (LWE), a hard problem used in post-quantum cryptography, outperform classical algebraic attacks in certain settings. Although promising, ML attacks struggle to scale to more…

机器学习 · 计算机科学 2025-08-26 Eshika Saxena , Alberto Alfarano , François Charton , Zeyuan Allen-Zhu , Emily Wenger , Kristin Lauter

Learning with Errors (LWE) is a hard math problem underlying recently standardized post-quantum cryptography (PQC) systems for key exchange and digital signatures. Prior work proposed new machine learning (ML)-based attacks on LWE problems…

密码学与安全 · 计算机科学 2024-02-05 Samuel Stevens , Emily Wenger , Cathy Li , Niklas Nolte , Eshika Saxena , François Charton , Kristin Lauter

This paper introduces a privacy-preserving distributed learning framework via private-key homomorphic encryption. Thanks to the randomness of the quantization of gradients, our learning with error (LWE) based encryption can eliminate the…

密码学与安全 · 计算机科学 2024-02-05 Guangfeng Yan , Shanxiang Lyu , Hanxu Hou , Zhiyong Zheng , Linqi Song

Random classical codes have good error correcting properties, and yet they are notoriously hard to decode in practice. Despite many decades of extensive study, the fastest known algorithms still run in exponential time. The Learning Parity…

量子物理 · 物理学 2025-04-16 Alexander Poremba , Yihui Quek , Peter Shor

It is well-known that if a network aims to learn how to deblur, it should understand the blur process. Blurring is naturally caused by the convolution of the sharp image with the blur kernel. Thus, allowing the network to learn the blur…

计算机视觉与模式识别 · 计算机科学 2025-11-27 Xintian Mao , Haofei Song , Yin-Nian Liu , Qingli Li , Yan Wang

Full Waveform Inversion (FWI) is a standard algorithm in seismic imaging. Its implementation requires the a priori choice of a number of "design parameters", such as the positions of sensors for the actual measurements and one (or more)…

数值分析 · 数学 2024-06-25 Shaunagh Downing , Silvia Gazzola , Ivan G. Graham , Euan A. Spence

In incremental object detection, knowledge distillation has been proven to be an effective way to alleviate catastrophic forgetting. However, previous works focused on preserving the knowledge of old models, ignoring that images could…

计算机视觉与模式识别 · 计算机科学 2024-07-17 Qijie Mo , Yipeng Gao , Shenghao Fu , Junkai Yan , Ancong Wu , Wei-Shi Zheng

Unsupervised feature selection (UFS) is an important task in data engineering. However, most UFS methods construct models from a single perspective and often fail to simultaneously evaluate feature importance and preserve their inherent…

机器学习 · 计算机科学 2025-05-28 Jingjing Liu , Xiansen Ju , Xianchao Xiu , Wanquan Liu

We present LBW-Net, an efficient optimization based method for quantization and training of the low bit-width convolutional neural networks (CNNs). Specifically, we quantize the weights to zero or powers of two by minimizing the Euclidean…

机器学习 · 计算机科学 2017-08-18 Penghang Yin , Shuai Zhang , Yingyong Qi , Jack Xin

The prevalent use of Byte Pair Encoding (BPE) in Large Language Models (LLMs) facilitates robust handling of subword units and avoids issues of out-of-vocabulary words. Despite its success, a critical challenge persists: long tokens, rich…

计算与语言 · 计算机科学 2024-11-11 Haoran Lian , Yizhe Xiong , Zijia Lin , Jianwei Niu , Shasha Mo , Hui Chen , Peng Liu , Guiguang Ding

We consider the problem of continuous quantum error correction from a Bayesian perspective, proposing a pair of digital filters using logarithmic probabilities that are able to achieve near-optimal performance on a three-qubit bit-flip…

量子物理 · 物理学 2022-04-20 Ian Convy , K. Birgitta Whaley

Large language models (LLMs) demand extensive memory capacity during both fine-tuning and inference. To enable memory-efficient fine-tuning, existing methods apply block-wise quantization techniques, such as NF4 and AF4, to the network…

机器学习 · 计算机科学 2025-05-13 Patrick Blumenberg , Thomas Graave , Tim Fingscheidt

The paper presents a comparison of performance of two Kalman Filters: extended Kalman filter (EKF) and unscented Kalman filter (UKF) in a hybrid Bluetooth-Low-Energy-ultra-wideband (BLE-UWB) based localization system. In the system, the…

信号处理 · 电气工程与系统科学 2024-04-05 Marcin Kolakowski