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Randomized Kaczmarz (RK) is a simple and fast solver for consistent overdetermined systems, but it is known to be fragile under noise. We study overdetermined $m\times n$ linear systems with a sparse set of corrupted equations, $ {\bf…

Numerical Analysis · Mathematics 2026-02-16 Sofiia Shvaiko , Longxiu Huang , Elizaveta Rebrova

Multiple kernel learning (MKL), structured sparsity, and multi-task learning have recently received considerable attention. In this paper, we show how different MKL algorithms can be understood as applications of either regularization on…

Machine Learning · Statistics 2011-03-03 Ryota Tomioka , Taiji Suzuki

This is a survey on some topics in Lattice based cryptography and Homomorphic Encryption. In particular, we define some lattice problems, LWE and RLWE, and state the reductions given by Regev and Peikert. We also give a full treatment of…

Cryptography and Security · Computer Science 2022-05-10 Vir Pathak

Multiple-input multiple-output (MIMO) systems have been widely acclaimed in order to provide high data rates. Recently Lattice Reduction (LR) aided detectors have been proposed to achieve near Maximum Likelihood (ML) performance with low…

Information Theory · Computer Science 2016-02-22 Mehnaz Rahman , Gwan S. Choi

Quantized large language models (LLMs) have gained increasing attention and significance for enabling deployment in resource-constrained environments. However, emerging studies on a few calibration dataset-free quantization methods suggest…

Machine Learning · Computer Science 2025-06-26 Kejia Chen , Jiawen Zhang , Jiacong Hu , Yu Wang , Jian Lou , Zunlei Feng , Mingli Song

We present a quantum attack on ML-KEM and related 2-power cyclotomic lattice schemes. Combining with Parts I-III, we provide an algorithm and verify the resulting approximation factor satisfies $\gamma\le 21 < q/2=1664.5$ for ML-KEM-1024,…

Quantum Physics · Physics 2026-05-26 Ming-Xing Luo

A simple scheme for communication over MIMO broadcast channels is introduced which adopts the lattice reduction technique to improve the naive channel inversion method. Lattice basis reduction helps us to reduce the average transmitted…

Information Theory · Computer Science 2016-11-15 Mahmoud Taherzadeh , Amin Mobasher , Amir K. Khandani

Decentralized finance (DeFi) applications depend on accurate price oracles to ensure secure transactions, yet these oracles are highly vulnerable to manipulation, enabling attackers to exploit smart contract vulnerabilities for unfair asset…

Cryptography and Security · Computer Science 2025-02-12 Bo Gao , Yuan Wang , Qingsong Wei , Yong Liu , Rick Siow Mong Goh , David Lo

Continual learning (CL), or domain expansion, recently became a popular topic for automatic speech recognition (ASR) acoustic modeling because practical systems have to be updated frequently in order to work robustly on types of speech not…

Audio and Speech Processing · Electrical Eng. & Systems 2021-10-15 Hossein Hadian , Arseniy Gorin

Large Language Models (LLMs) have achieved remarkable success on reasoning benchmarks through Reinforcement Learning with Verifiable Rewards (RLVR), excelling at tasks such as math, coding, logic, and puzzles. However, existing benchmarks…

Artificial Intelligence · Computer Science 2026-05-12 Xiaozhe Li , Xinyu Fang , Shengyuan Ding , Yang Li , Linyang Li , Haodong Duan , Qingwen Liu , Kai Chen

We study online linear-quadratic regulation (LQR) with unknown dynamics under communication rate constraints. Classical networked control quantizes the plant state at every time step, requiring $O(T)$ total bits while injecting persistent…

Systems and Control · Electrical Eng. & Systems 2026-04-15 Barron Han , Victoria Kostina , Babak Hassibi

Recent developments in communication technologies, such as 5G, together with innovative computing paradigms, such as edge computing, provide further possibilities for the implementation of real-time networked control systems. However,…

Systems and Control · Electrical Eng. & Systems 2022-07-21 Matteo Marcantoni , Bayu Jayawardhana , Mariano Perez Chaher , Kerstin Bunte

A new architecture called integer-forcing (IF) linear receiver has been recently proposed for multiple-input multiple-output (MIMO) fading channels, wherein an appropriate integer linear combination of the received symbols has to be…

Information Theory · Computer Science 2013-07-16 Amin Sakzad , J. Harshan , Emanuele Viterbo

Over the last years, novel low-complexity approaches to the equalization of MIMO channels have gained much attention. Thereby, methods based on lattice basis reduction are of special interest, as they achieve the optimum diversity order. In…

Information Theory · Computer Science 2010-08-13 Robert F. H. Fischer

The accuracy of the information that can be extracted from electron diffraction patterns is often limited by the presence of optical distortions. Existing distortion characterization techniques typically require knowledge of the reciprocal…

Although Kubernetes has become a widespread open-source system that automates the management of containerized applications, its complexity can be a significant barrier, particularly for application developers unfamiliar with it. One…

Software Engineering · Computer Science 2024-08-22 Masaru Ueno , Tetsuya Uchiumi

The growing number of parameters and computational demands of large language models (LLMs) present significant challenges for their efficient deployment. Recently, there is an increasing interest in quantizing weights to extremely low…

Machine Learning · Computer Science 2025-02-18 Cheng Zhang , Jeffrey T. H. Wong , Can Xiao , George A. Constantinides , Yiren Zhao

In this paper, we delve deeper into the Kullback-Leibler (KL) Divergence loss and mathematically prove that it is equivalent to the Decoupled Kullback-Leibler (DKL) Divergence loss that consists of (1) a weighted Mean Square Error (wMSE)…

Machine Learning · Computer Science 2025-03-12 Jiequan Cui , Beier Zhu , Qingshan Xu , Zhuotao Tian , Xiaojuan Qi , Bei Yu , Hanwang Zhang , Richang Hong

Quantum Layout Synthesis (QLS) is a critical compilation stage that adapts quantum circuits to hardware constraints with an objective of minimizing the SWAP overhead. While heuristic tools demonstrate good efficiency, they often produce…

Quantum Physics · Physics 2025-06-02 Shuohao Ping , Naren Sathishkumar , Wan-Hsuan Lin , Hanyu Wang , Jason Cong

In this paper, we study the requirement for quantum random access memory (QRAM) in quantum lattice sieving, a fundamental algorithm for lattice-based cryptanalysis. First, we obtain a lower bound on the cost of quantum lattice sieving with…

Quantum Physics · Physics 2024-10-22 Beomgeun Cho , Minki Hhan , Taehyun Kim , Jeonghoon Lee , Yixin Shen
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