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Clustering of data sets is a standard problem in many areas of science and engineering. The method of spectral clustering is based on embedding the data set using a kernel function, and using the top eigenvectors of the normalized Laplacian…

Statistics Theory · Mathematics 2015-04-08 Geoffrey Schiebinger , Martin J. Wainwright , Bin Yu

Modern large language models (LLMs) excel at tasks that require storing and retrieving knowledge, such as factual recall and question answering. Transformers are central to this capability because they can encode information during training…

Machine Learning · Statistics 2026-03-18 Nuri Mert Vural , Alberto Bietti , Mahdi Soltanolkotabi , Denny Wu

Pre-trained deep language models~(LM) have advanced the state-of-the-art of text retrieval. Rerankers fine-tuned from deep LM estimates candidate relevance based on rich contextualized matching signals. Meanwhile, deep LMs can also be…

Information Retrieval · Computer Science 2021-01-22 Luyu Gao , Zhuyun Dai , Jamie Callan

Hyperspectral/multispectral imaging (HSI/MSI) contains rich information clinical applications, such as 1) narrow band imaging for vascular visualisation; 2) oxygen saturation for intraoperative perfusion monitoring and clinical decision…

Computer Vision and Pattern Recognition · Computer Science 2017-07-13 Jianyu Lin , Neil T. Clancy , Daniel S. Elson

Deep learning based methods have recently pushed the state-of-the-art on the problem of Single Image Super-Resolution (SISR). In this work, we revisit the more traditional interpolation-based methods, that were popular before, now with the…

Computer Vision and Pattern Recognition · Computer Science 2017-12-19 Xu Jia , Hong Chang , Tinne Tuytelaars

This work proposes a deep learning (DL)-based framework, namely Sim2Real, for spectral signal reconstruction in reconstructive spectroscopy, focusing on efficient data sampling and fast inference time. The work focuses on the challenge of…

Machine Learning · Computer Science 2024-08-20 Jiyi Chen , Pengyu Li , Yutong Wang , Pei-Cheng Ku , Qing Qu

Multi-index models provide a popular framework to investigate the learnability of functions with low-dimensional structure and, also due to their connections with neural networks, they have been object of recent intensive study. In this…

Machine Learning · Statistics 2025-06-11 Filip Kovačević , Yihan Zhang , Marco Mondelli

Feature pooling layers (e.g., max pooling) in convolutional neural networks (CNNs) serve the dual purpose of providing increasingly abstract representations as well as yielding computational savings in subsequent convolutional layers. We…

Machine Learning · Computer Science 2016-11-17 Shuangfei Zhai , Hui Wu , Abhishek Kumar , Yu Cheng , Yongxi Lu , Zhongfei Zhang , Rogerio Feris

Phase retrieval algorithms have become an important component in many modern computational imaging systems. For instance, in the context of ptychography and speckle correlation imaging, they enable imaging past the diffraction limit and…

Machine Learning · Statistics 2018-07-03 Christopher A. Metzler , Philip Schniter , Ashok Veeraraghavan , Richard G. Baraniuk

Vision-and-Language Navigation (VLN) requires an agent to follow natural-language instructions and navigate through previously unseen environments. Recent approaches increasingly employ large language models (LLMs) as high-level navigators…

Computer Vision and Pattern Recognition · Computer Science 2026-02-18 Shutian Gu , Chengkai Huang , Ruoyu Wang , Lina Yao

A multilevel kernel-based interpolation method, suitable for moderately high-dimensional function interpolation problems, is proposed. The method, termed multilevel sparse kernel-based interpolation (MLSKI, for short), uses both level-wise…

Numerical Analysis · Mathematics 2012-04-19 Emmanuil H. Georgoulis , Jeremy Levesley , Fazli Subhan

We introduce REPLUG, a retrieval-augmented language modeling framework that treats the language model (LM) as a black box and augments it with a tuneable retrieval model. Unlike prior retrieval-augmented LMs that train language models with…

Computation and Language · Computer Science 2023-05-25 Weijia Shi , Sewon Min , Michihiro Yasunaga , Minjoon Seo , Rich James , Mike Lewis , Luke Zettlemoyer , Wen-tau Yih

Phase retrieval (PR) is an important component in modern computational imaging systems. Many algorithms have been developed over the past half-century. Recent advances in deep learning have introduced new possibilities for a robust and fast…

Machine Learning · Computer Science 2021-11-10 Chang-Jen Wang , Chao-Kai Wen , Shang-Ho , Tsai , Shi Jin , Geoffrey Ye Li

We unveil that internal representations in large language models (LLMs) serve as reliable proxies of learned knowledge, and propose RECALL, a novel representation-aware model merging framework for continual learning without access to…

Computation and Language · Computer Science 2025-10-24 Bowen Wang , Haiyuan Wan , Liwen Shi , Chen Yang , Peng He , Yue Ma , Haochen Han , Wenhao Li , Tiao Tan , Yongjian Li , Fangming Liu , Yifan Gong , Sheng Zhang

Large Language Models (LLMs) have demonstrated significant strides across various information retrieval tasks, particularly as rerankers, owing to their strong generalization and knowledge-transfer capabilities acquired from extensive…

Information Retrieval · Computer Science 2025-06-18 Rahul Seetharaman , Kaustubh D. Dhole , Aman Bansal

Text embeddings from large language models (LLMs) have achieved excellent results in tasks such as information retrieval, semantic textual similarity, etc. In this work, we show an interesting finding: when feeding a text into the LLM-based…

Computation and Language · Computer Science 2025-07-08 Zhijie Nie , Richong Zhang , Zhanyu Wu

A spectral mixture (SM) kernel is a flexible kernel used to model any stationary covariance function. Although it is useful in modeling data, the learning of the SM kernel is generally difficult because optimizing a large number of…

Machine Learning · Statistics 2020-06-15 Yohan Jung , Kyungwoo Song , Jinkyoo Park

Phase retrieval arises in various fields of science and engineering and it is well studied in a finite-dimensional setting. In this paper, we consider an infinite-dimensional phase retrieval problem to reconstruct real-valued signals living…

Information Theory · Computer Science 2016-03-07 Yang Chen , Cheng Cheng , Qiyu Sun , Haichao Wang

Image-text retrieval requires the system to bridge the heterogenous gap between vision and language for accurate retrieval while keeping the network lightweight-enough for efficient retrieval. Existing trade-off solutions mainly study from…

Computer Vision and Pattern Recognition · Computer Science 2023-08-29 Jiamin Zhuang , Jing Yu , Yang Ding , Xiangyan Qu , Yue Hu

The problem of recovering a vector from the absolute values of its inner products against a family of measurement vectors has been well studied in mathematics and engineering. A generalization of this phase retrieval problem also exists in…

Functional Analysis · Mathematics 2013-07-19 Jameson Cahill , Peter G. Casazza , Jesse Peterson , Lindsey Woodland