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Lloyd's algorithm is an iterative method that solves the quantization problem, i.e. the approximation of a target probability measure by a discrete one, and is particularly used in digital applications. This algorithm can be interpreted as…

Optimization and Control · Mathematics 2026-05-14 Léo Portales , Elsa Cazelles , Edouard Pauwels

The newly proposed $l_1$ norm constraint zero-point attraction Least Mean Square algorithm (ZA-LMS) demonstrates excellent performance on exact sparse system identification. However, ZA-LMS has less advantage against standard LMS when the…

Information Theory · Computer Science 2013-03-12 Jian Jin , Qing Qu , Yuantao Gu

As large language models (LLMs) continue to scale in size, the computational overhead has become a major bottleneck for task-specific fine-tuning. While low-rank adaptation (LoRA) effectively curtails this cost by confining the weight…

Machine Learning · Computer Science 2026-05-15 Yilang Zhang , Xiaodong Yang , Yiwei Cai , Georgios B. Giannakis

In this paper, we propose an efficient algorithm for the network slicing problem which attempts to map multiple customized virtual network requests (also called services) to a common shared network infrastructure and allocate network…

Information Theory · Computer Science 2023-02-14 Wei-Kun Chen , Ya-Feng Liu , Fan Liu , Yu-Hong Dai , Zhi-Quan Luo

Ultra-reliable low-latency communications (URLLC) demand decoding algorithms that simultaneously offer high reliability and low complexity under stringent latency constraints. While iterative decoding schemes for LDPC and Polar codes offer…

Signal Processing · Electrical Eng. & Systems 2025-07-30 Enrico Testi , Enrico Paolini

The stochastic gradient Langevin Dynamics is one of the most fundamental algorithms to solve sampling problems and non-convex optimization appearing in several machine learning applications. Especially, its variance reduced versions have…

Machine Learning · Computer Science 2022-11-22 Yuri Kinoshita , Taiji Suzuki

Low-rank adaptation (LoRA) is a natural method for finetuning in communication-constrained machine learning settings such as cross-device federated learning. Prior work that has studied LoRA in the context of federated learning has focused…

Machine Learning · Computer Science 2024-06-11 Kevin Kuo , Arian Raje , Kousik Rajesh , Virginia Smith

Lattice gas algorithms (LGA) are a class of algorithms including, in chronological order, binary lattice gas cellular automata (LGCA), integer lattice gas algorithms (ILGA) and lattice Boltzmann method (LBM). They are largely used for…

Quantum Physics · Physics 2025-09-04 Niccolò Fonio , Ljubomir Budinski , Valtteri Lahtinen , Pierre Sagaut

Binary quantization represents the most extreme form of compression, reducing weights to +/-1 for maximal memory and computational efficiency. While recent sparsity-aware binarization achieves sub-1-bit compression via weight pruning, it…

Machine Learning · Computer Science 2026-04-10 Hao Gu , Lujun Li , Hao Wang , Lei Wang , Zheyu Wang , Bei Liu , Jiacheng Liu , Qiyuan Zhu , Sirui Han , Yike Guo

The LoRA-finetuning quantization of LLMs has been extensively studied to obtain accurate yet compact LLMs for deployment on resource-constrained hardware. However, existing methods cause the quantized LLM to severely degrade and even fail…

Machine Learning · Computer Science 2024-05-28 Haotong Qin , Xudong Ma , Xingyu Zheng , Xiaoyang Li , Yang Zhang , Shouda Liu , Jie Luo , Xianglong Liu , Michele Magno

One-class classification (OCC) aims to train a classifier only with the target class data and attracts great attention for its strong applicability in real-world application. Despite a lot of advances have been made in OCC, it still lacks…

Computer Vision and Pattern Recognition · Computer Science 2026-02-10 Ziyang Jiang , Peng Lin , Tianlei Wang

In this work, we study the solution of shortest vector problems (SVPs) arising in terms of learning with error problems (LWEs). LWEs are linear systems of equations over a modular ring, where a perturbation vector is added to the right-hand…

Cryptography and Security · Computer Science 2025-02-10 Tobias Köppl , René Zander , Louis Henkel , Nikolay Tcholtchev

Due to the substantial scale of Large Language Models (LLMs), the direct application of conventional compression methodologies proves impractical. The computational demands associated with even minimal gradient updates present challenges,…

Machine Learning · Computer Science 2023-12-13 Arnav Chavan , Nahush Lele , Deepak Gupta

Large language models (LLMs) have achieved remarkable advancements in natural language processing, showcasing exceptional performance across various tasks. However, the expensive memory and computational requirements present significant…

Artificial Intelligence · Computer Science 2025-11-13 Ruihao Gong , Yifu Ding , Zining Wang , Chengtao Lv , Xingyu Zheng , Jinyang Du , Haotong Qin , Jinyang Guo , Michele Magno , Xianglong Liu

The work identifies the first general, explicit, and non-random MIMO encoder-decoder structures that guarantee optimality with respect to the diversity-multiplexing tradeoff (DMT), without employing a computationally expensive…

Information Theory · Computer Science 2016-11-18 Joakim Jalden , Petros Elia

Estimating the length of the longest increasing subsequence (LIS) in an array is a problem of fundamental importance. Despite the significance of the LIS estimation problem and the amount of attention it has received, there are important…

Data Structures and Algorithms · Computer Science 2021-02-12 Ilan Newman , Nithin Varma

Recently, the leaky diffusion least-mean-square (DLMS) algorithm has obtained much attention because of its good performance for high input eigenvalue spread and low signal-to-noise ratio (SNR). However, the leaky DLMS algorithm may suffer…

Signal Processing · Electrical Eng. & Systems 2018-11-01 Long Shi , Haiquan Zhao

We propose a distributed algorithm based on Alternating Direction Method of Multipliers (ADMM) to minimize the sum of locally known convex functions using communication over a network. This optimization problem emerges in many applications…

Optimization and Control · Mathematics 2016-01-05 Ali Makhdoumi , Asuman Ozdaglar

This work proposes a low complexity nonlinearity model and develops adaptive algorithms over it. The model is based on the decomposable---or rank-one, in tensor language---Volterra kernels. It may also be described as a product of FIR…

Systems and Control · Computer Science 2016-10-25 Felipe C. Pinheiro , Cassio G. Lopes

We present the generic Dijkstra shortest path algorithm: an efficient algorithm for finding a shortest path in an optical network, both in a wavelength-division multiplexed network, and an elastic optical network (EON). The proposed…

Networking and Internet Architecture · Computer Science 2020-01-08 Ireneusz Szcześniak , Andrzej Jajszczyk , Bożena Woźna-Szcześniak