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Subspace segmentation assumes that data comes from the union of different subspaces and the purpose of segmentation is to partition the data into the corresponding subspace. Low-rank representation (LRR) is a classic spectral-type method…

Machine Learning · Computer Science 2020-07-15 Xishun Wang , Zhouwang Yang , Xingye Yue , Hui Wang

UMAP (Uniform Manifold Approximation and Projection) is a novel manifold learning technique for dimension reduction. UMAP is constructed from a theoretical framework based in Riemannian geometry and algebraic topology. The result is a…

Machine Learning · Statistics 2020-09-21 Leland McInnes , John Healy , James Melville

This paper explores the problem of clustering ensemble, which aims to combine multiple base clusterings to produce better performance than that of the individual one. The existing clustering ensemble methods generally construct a…

Machine Learning · Computer Science 2020-12-17 Yuheng Jia , Hui Liu , Junhui Hou , Qingfu Zhang

Recent large reasoning models (LRMs) have made substantial progress in complex reasoning tasks, yet they often generate lengthy reasoning paths for every query, incurring unnecessary computation and latency. Existing speed-up approaches…

Computation and Language · Computer Science 2026-01-08 Zhaofeng Zhong , Wei Yuan , Tong Chen , Xiangyu Zhao , Quoc Viet Hung Nguyen , Hongzhi Yin

We present a simple neural network for word alignment that builds source and target word window representations to compute alignment scores for sentence pairs. To enable unsupervised training, we use an aggregation operation that summarizes…

Computation and Language · Computer Science 2016-07-01 Joel Legrand , Michael Auli , Ronan Collobert

The availability of a wide range of large language models (LLMs) embedded in various agentic systems has significantly increased the potential of model selection strategies to improve the cost-performance tradeoff. Existing strategies…

Computation and Language · Computer Science 2025-05-23 Jasper Dekoninck , Maximilian Baader , Martin Vechev

We study the complexity of the classic capacitated k-median and k-means problems parameterized by the number of centers, k. These problems are notoriously difficult since the best known approximation bound for high dimensional Euclidean…

Data Structures and Algorithms · Computer Science 2022-08-31 Vincent Cohen-Addad , Jason Li

A common retrieve-and-rerank paradigm involves retrieving relevant candidates from a broad set using a fast bi-encoder (BE), followed by applying expensive but accurate cross-encoders (CE) to a limited candidate set. However, relying on…

Computation and Language · Computer Science 2024-10-28 Jonghyun Song , Cheyon Jin , Wenlong Zhao , Andrew McCallum , Jay-Yoon Lee

We give algorithms for geometric graph problems in the modern parallel models inspired by MapReduce. For example, for the Minimum Spanning Tree (MST) problem over a set of points in the two-dimensional space, our algorithm computes a…

Data Structures and Algorithms · Computer Science 2014-01-07 Alexandr Andoni , Aleksandar Nikolov , Krzysztof Onak , Grigory Yaroslavtsev

We study the collective schedules problem, which consists in computing a one machine schedule of a set of tasks, knowing that a set of individuals (also called voters) have preferences regarding the order of the execution of the tasks. Our…

Computer Science and Game Theory · Computer Science 2024-03-29 Martin Durand , Fanny Pascual

Large language models (LLMs), typically designed as a function of next-word prediction, have excelled across extensive NLP tasks. Despite the generality, next-word prediction is often not an efficient formulation for many of the tasks,…

Computation and Language · Computer Science 2023-11-03 Yuheng Zha , Yichi Yang , Ruichen Li , Zhiting Hu

We propose a novel and efficient algorithm for the collaborative preference completion problem, which involves jointly estimating individualized rankings for a set of entities over a shared set of items, based on a limited number of…

Machine Learning · Statistics 2016-11-16 Suriya Gunasekar , Oluwasanmi Koyejo , Joydeep Ghosh

A primary goal of online deliberation platforms is to identify ideas that are broadly agreeable to a community of users through their expressed preferences. Yet, consensus elicitation should ideally extend beyond the specific statements…

Machine Learning · Computer Science 2026-04-24 Carter Blair , Ben Armstrong , Shiri Alouf-Heffetz , Nimrod Talmon , Davide Grossi

Large Language Models (LLMs) have emerged as powerful tools for passage reranking in information retrieval, leveraging their superior reasoning capabilities to address the limitations of conventional models on complex queries. However,…

Information Retrieval · Computer Science 2026-05-01 Meixiu Long , Duolin Sun , Dan Yang , Yihan Jiao , Lei Liu , Jiahai Wang , BinBin Hu , Yue Shen , Jie Feng , Zhehao Tan , Junjie Wang , Lianzhen Zhong , Jian Wang , Peng Wei , Jinjie Gu

Many important multiple-objective decision problems can be cast within the framework of ranking under constraints and solved via a weighted bipartite matching linear program. Some of these optimization problems, such as personalized content…

Information Retrieval · Computer Science 2022-02-16 Yegor Tkachenko , Wassim Dhaouadi , Kamel Jedidi

Affine rank minimization algorithms typically rely on calculating the gradient of a data error followed by a singular value decomposition at every iteration. Because these two steps are expensive, heuristic approximations are often used to…

Optimization and Control · Mathematics 2013-06-04 Stephen Becker , Volkan Cevher , Anastasios Kyrillidis

In recent years rank aggregation has received significant attention from the machine learning community. The goal of such a problem is to combine the (partially revealed) preferences over objects of a large population into a single,…

Machine Learning · Statistics 2014-10-06 Yu Lu , Sahand N. Negahban

Adam-type algorithms have become a preferred choice for optimisation in the deep learning setting, however, despite success, their convergence is still not well understood. To this end, we introduce a unified framework for Adam-type…

Machine Learning · Computer Science 2024-09-24 Yiming Jiang , Jinlan Liu , Dongpo Xu , Danilo P. Mandic

The similarity of graph structures, such as Meaning Representations (MRs), is often assessed via structural matching algorithms, such as Smatch (Cai and Knight, 2013). However, Smatch involves a combinatorial problem that suffers from…

Computation and Language · Computer Science 2023-06-02 Juri Opitz , Philipp Meier , Anette Frank

Large Language Models (LLMs) achieve strong performance across diverse tasks but face prohibitive computational and memory costs. Pruning offers a promising path by inducing sparsity while preserving architectural flexibility. However,…

Machine Learning · Computer Science 2025-12-10 Yizhuo Ding , Wanying Qu , Jiawei Geng , Wenqi Shao , Yanwei Fu
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