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We describe a numerical framework that uses random sampling to efficiently capture low-rank local solution spaces of multiscale PDE problems arising in domain decomposition. In contrast to existing techniques, our method does not rely on…

Numerical Analysis · Mathematics 2020-02-06 Ke Chen , Qin Li , Jianfeng Lu , Stephen J. Wright

While large language models (LLMs) fine-tuned with lightweight adapters achieve strong performance across diverse tasks, their performance on individual tasks depends on the fine-tuning strategy. Fusing independently trained models with…

Machine Learning · Computer Science 2026-03-05 Sanae Lotfi , Lucas Caccia , Alessandro Sordoni , Jordan T. Ash , Miroslav Dudik

We focus on a conversational question answering task which combines the challenges of understanding questions in context and reasoning over evidence gathered from heterogeneous sources like text, knowledge graphs, tables, and infoboxes. Our…

Computation and Language · Computer Science 2024-07-16 Parag Jain , Mirella Lapata

In graphs with rich texts, incorporating textual information with structural information would benefit constructing expressive graph embeddings. Among various graph embedding models, random walk (RW)-based is one of the most popular and…

Artificial Intelligence · Computer Science 2019-10-15 Liheng Chen , Yanru Qu , Zhenghui Wang , Lin Qiu , Weinan Zhang , Ken Chen , Shaodian Zhang , Yong Yu

Clustering is a fundamental unsupervised learning approach. Many clustering algorithms -- such as $k$-means -- rely on the euclidean distance as a similarity measure, which is often not the most relevant metric for high dimensional data…

Machine Learning · Computer Science 2019-10-22 Aude Genevay , Gabriel Dulac-Arnold , Jean-Philippe Vert

Graph generative models are essential across diverse scientific domains by capturing complex distributions over relational data. Among them, graph diffusion models achieve superior performance but face inefficient sampling and limited…

Machine Learning · Computer Science 2025-06-17 Yiming Qin , Manuel Madeira , Dorina Thanou , Pascal Frossard

Large Language Models (LLMs), constrained by their auto-regressive nature, suffer from slow decoding. Speculative decoding methods have emerged as a promising solution to accelerate LLM decoding, attracting attention from both systems and…

Artificial Intelligence · Computer Science 2026-02-03 Xuliang Wang , Yuetao Chen , Maochan Zhen , Fang Liu , Xinzhou Zheng , Xingwu Liu , Hong Xu , Ming Li

Guesstimation -- the task of making approximate quantitative estimates about objects or events -- is a common real-world skill, yet remains underexplored in large language model (LLM) research. We introduce three guesstimation datasets:…

Artificial Intelligence · Computer Science 2025-09-27 Yun-Shiuan Chuang , Sameer Narendran , Nikunj Harlalka , Alexander Cheung , Sizhe Gao , Siddharth Suresh , Junjie Hu , Timothy T. Rogers

Deep models have improved state-of-the-art for both supervised and unsupervised learning. For example, deep embedded clustering (DEC) has greatly improved the unsupervised clustering performance, by using stacked autoencoders for…

Answering logical queries over incomplete knowledge bases is challenging because: 1) it calls for implicit link prediction, and 2) brute force answering of existential first-order logic queries is exponential in the number of existential…

Artificial Intelligence · Computer Science 2021-03-02 Francois Luus , Prithviraj Sen , Pavan Kapanipathi , Ryan Riegel , Ndivhuwo Makondo , Thabang Lebese , Alexander Gray

Crowd scene analysis receives growing attention due to its wide applications. Grasping the accurate crowd location (rather than merely crowd count) is important for spatially identifying high-risk regions in congested scenes. In this paper,…

Computer Vision and Pattern Recognition · Computer Science 2020-01-28 Yao Xue , Siming Liu , Yonghui Li , Xueming Qian

Graph neural networks (GNNs) on text--attributed graphs (TAGs) typically encode node texts using pretrained language models (PLMs) and propagate these embeddings through linear neighborhood aggregation. However, the representation spaces of…

The theoretical analysis of many problems in physics, astronomy and applied mathematics requires an efficient numerical exploration of multimodal parameter spaces that exhibit broken ergodicity. Monte Carlo methods are widely used to deal…

Statistical Mechanics · Physics 2014-09-02 Stefano Martiniani , Jacob D. Stevenson , David J. Wales , Daan Frenkel

Recent recommender systems increasingly leverage embeddings from large pre-trained language models (PLMs). However, such embeddings exhibit two key limitations: (1) PLMs are not explicitly optimized to produce structured and discriminative…

Computation and Language · Computer Science 2026-01-19 Guy Hadad , Neomi Rabaev , Bracha Shapira

Large Language Models achieve next-token prediction by transporting a vectorized piece of text (prompt) across an accompanying embedding space under the action of successive transformer layers. The resulting high-dimensional trajectories…

Machine Learning · Computer Science 2025-02-17 Raphaël Sarfati , Toni J. B. Liu , Nicolas Boullé , Christopher J. Earls

Large Language Models (LLMs) incur significant computational and memory costs when processing long prompts, as full self-attention scales quadratically with input length. Token compression aims to address this challenge by reducing the…

Computation and Language · Computer Science 2026-04-23 Zihao Xu , John Harvill , Ziwei Fan , Yizhou Sun , Hao Ding , Hao Wang

In this paper, we propose an optimally structured gradient coding scheme to mitigate the straggler problem in distributed learning. Conventional gradient coding methods often assume homogeneous straggler models or rely on excessive data…

Systems and Control · Electrical Eng. & Systems 2025-10-28 Heekang Song , Wan Choi

We show that a language model's ability to predict text is tightly linked to the breadth of its embedding space: models that spread their contextual representations more widely tend to achieve lower perplexity. Concretely, we find that…

Computation and Language · Computer Science 2026-04-21 Yanhong Li , Ming Li , Karen Livescu , Jiawei Zhou

Consensus clustering fuses diverse basic partitions (i.e., clustering results obtained from conventional clustering methods) into an integrated one, which has attracted increasing attention in both academic and industrial areas due to its…

Machine Learning · Computer Science 2019-06-04 Hongfu Liu , Zhiqiang Tao , Zhengming Ding

Large language models (LLMs) process and predict sequences containing text to answer questions, and address tasks including document summarization, providing recommendations, writing software and solving quantitative problems. We provide a…

Numerical Analysis · Mathematics 2026-02-02 Ricardo Baptista , Andrew Stuart , Son Tran
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