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Recent advancements in quantum computing, alongside successful deployments of quantum communication, hold promises for revolutionizing mobile networks. While Quantum Machine Learning (QML) presents opportunities, it contends with challenges…

Quantum Physics · Physics 2024-06-21 Himanshu Sahu , Hari Prabhat Gupta

The use of Bayesian methods in large-scale data settings is attractive because of the rich hierarchical models, uncertainty quantification, and prior specification they provide. Standard Bayesian inference algorithms are computationally…

Computation · Statistics 2017-02-07 Jonathan H. Huggins , Trevor Campbell , Tamara Broderick

With the rise of smartphones and the internet-of-things, data is increasingly getting generated at the edge on local, personal devices. For privacy, latency and energy saving reasons, this shift is causing machine learning algorithms to…

Machine Learning · Computer Science 2021-04-29 Jiaqi Li , Ross Drummond , Stephen R. Duncan

We provide the first coreset for clustering points in $\mathbb{R}^d$ that have multiple missing values (coordinates). Previous coreset constructions only allow one missing coordinate. The challenge in this setting is that objective…

Data Structures and Algorithms · Computer Science 2021-11-12 Vladimir Braverman , Shaofeng H. -C. Jiang , Robert Krauthgamer , Xuan Wu

Designing small-sized \emph{coresets}, which approximately preserve the costs of the solutions for large datasets, has been an important research direction for the past decade. We consider coreset construction for a variety of general…

Data Structures and Algorithms · Computer Science 2024-10-11 Lingxiao Huang , Jian Li , Pinyan Lu , Xuan Wu

A coreset (or core-set) of an input set is its small summation, such that solving a problem on the coreset as its input, provably yields the same result as solving the same problem on the original (full) set, for a given family of problems…

Machine Learning · Computer Science 2019-10-22 Ibrahim Jubran , Alaa Maalouf , Dan Feldman

The rapid scaling of language models (LMs) has resulted in unprecedented computational, memory, and energy requirements, making their training and deployment increasingly unsustainable. Quantization has emerged as an essential compression…

A coreset is a small set that can approximately preserve the structure of the original input data set. Therefore we can run our algorithm on a coreset so as to reduce the total computational complexity. Conventional coreset techniques…

Machine Learning · Computer Science 2022-10-11 Jiaxiang Chen , Qingyuan Yang , Ruomin Huang , Hu Ding

We devise coresets for kernel $k$-Means with a general kernel, and use them to obtain new, more efficient, algorithms. Kernel $k$-Means has superior clustering capability compared to classical $k$-Means, particularly when clusters are…

Data Structures and Algorithms · Computer Science 2024-04-09 Shaofeng H. -C. Jiang , Robert Krauthgamer , Jianing Lou , Yubo Zhang

Large Language Models (LLMs) have been extensively researched and used in both academia and industry since the rise in popularity of the Transformer model, which demonstrates excellent performance in AI. However, the computational demands…

Machine Learning · Computer Science 2024-11-06 Jiedong Lang , Zhehao Guo , Shuyu Huang

In a distributed machine learning setting like Federated Learning where there are multiple clients involved which update their individual weights to a single central server, often training on the entire individual client's dataset for each…

Machine Learning · Computer Science 2025-11-04 Prateek Chanda , Shrey Modi , Ganesh Ramakrishnan

Scaling clustering algorithms to massive data sets is a challenging task. Recently, several successful approaches based on data summarization methods, such as coresets and sketches, were proposed. While these techniques provide provably…

Machine Learning · Statistics 2018-02-21 Olivier Bachem , Mario Lucic , Silvio Lattanzi

Increasing the number of parameters in large language models (LLMs) usually improves performance in downstream tasks but raises compute and memory costs, making deployment difficult in resource-limited settings. Quantization techniques,…

Computation and Language · Computer Science 2024-06-07 Renren Jin , Jiangcun Du , Wuwei Huang , Wei Liu , Jian Luan , Bin Wang , Deyi Xiong

A \emph{strong coreset} for the mean queries of a set $P$ in ${\mathbb{R}}^d$ is a small weighted subset $C\subseteq P$, which provably approximates its sum of squared distances to any center (point) $x\in {\mathbb{R}}^d$. A \emph{weak…

Machine Learning · Computer Science 2021-11-05 Alaa Maalouf , Ibrahim Jubran , Dan Feldman

In this paper, we consider decentralized optimization problems where agents have individual cost functions to minimize subject to subspace constraints that require the minimizers across the network to lie in low-dimensional subspaces. This…

Optimization and Control · Mathematics 2023-08-01 Roula Nassif , Stefan Vlaski , Marco Carpentiero , Vincenzo Matta , Marc Antonini , Ali H. Sayed

Coresets for $k$-means and $k$-median problems yield a small summary of the data, which preserve the clustering cost with respect to any set of $k$ centers. Recently coresets have also been constructed for constrained $k$-means and…

Data Structures and Algorithms · Computer Science 2023-05-29 Ragesh Jaiswal , Amit Kumar

Accurate coresets are a weighted subset of the original dataset, ensuring a model trained on the accurate coreset maintains the same level of accuracy as a model trained on the full dataset. Primarily, these coresets have been studied for a…

Machine Learning · Computer Science 2024-12-31 Sanskar Ranjan , Supratim Shit

Deploying Large Language Models (LLMs) on edge or mobile devices offers significant benefits, such as enhanced data privacy and real-time processing capabilities. However, it also faces critical challenges due to the substantial memory…

Machine Learning · Computer Science 2024-05-07 Yu Mao , Weilan Wang , Hongchao Du , Nan Guan , Chun Jason Xue

Model Interpretation aims at the extraction of insights from the internals of a trained model. A common approach to address this task is the characterization of relevant features internally encoded in the model that are critical for its…

Machine Learning · Computer Science 2024-10-07 Hamed Behzadi-Khormouji , José Oramas

We consider the problem of solving a distributed optimization problem using a distributed computing platform, where the communication in the network is limited: each node can only communicate with its neighbours and the channel has a…

Systems and Control · Computer Science 2015-04-10 Ye Pu , Melanie N. Zeilinger , Colin N. Jones