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In many machine learning and data related applications, it is required to have the knowledge of approximate ranks of large data matrices at hand. In this paper, we present two computationally inexpensive techniques to estimate the…

Numerical Analysis · Computer Science 2017-06-19 Shashanka Ubaru , Yousef Saad , Abd-Krim Seghouane

Principal component regression (PCR) is a useful method for regularizing linear regression. Although conceptually simple, straightforward implementations of PCR have high computational costs and so are inappropriate when learning with large…

Numerical Analysis · Mathematics 2019-03-08 Liron Mor-Yosef , Haim Avron

There has long been debates on how we could interpret neural networks and understand the decisions our models make. Specifically, why deep neural networks tend to be error-prone when dealing with samples that output low softmax scores. We…

Computer Vision and Pattern Recognition · Computer Science 2018-12-04 Simiao Zuo , Jialin Wu

In an era where accumulating data is easy and storing it inexpensive, feature selection plays a central role in helping to reduce the high-dimensionality of huge amounts of otherwise meaningless data. In this paper, we propose a graph-based…

Computer Vision and Pattern Recognition · Computer Science 2017-04-19 Giorgio Roffo , Simone Melzi

Most efforts in interpretability in deep learning have focused on (1) extracting explanations of a specific downstream task in relation to the input features and (2) imposing constraints on the model, often at the expense of predictive…

Machine Learning · Computer Science 2022-02-22 Marco Bertolini , Djork-Arné Clevert , Floriane Montanari

Feature selection is important step in machine learning since it has shown to improve prediction accuracy while depressing the curse of dimensionality of high dimensional data. The neural networks have experienced tremendous success in…

Machine Learning · Computer Science 2021-07-13 Peter Bugata , Peter Drotar

Parameter-efficient continual learning aims to adapt pre-trained models to sequential tasks without forgetting previously acquired knowledge. Most existing approaches treat continual learning as avoiding interference with past updates,…

Machine Learning · Computer Science 2026-02-03 Hao Gu , Mao-Lin Luo , Zi-Hao Zhou , Han-Chen Zhang , Min-Ling Zhang , Tong Wei

Importance sampling is widely used to improve the efficiency of deep neural network (DNN) training by reducing the variance of gradient estimators. However, efficiently assessing the variance reduction relative to uniform sampling remains…

Machine Learning · Computer Science 2025-11-19 Takuro Kutsuna

Ranking models are the main components of information retrieval systems. Several approaches to ranking are based on traditional machine learning algorithms using a set of hand-crafted features. Recently, researchers have leveraged deep…

Information Retrieval · Computer Science 2021-11-03 Mohamed Trabelsi , Zhiyu Chen , Brian D. Davison , Jeff Heflin

Deep neural networks have emerged as powerful tools for learning operators defined over infinite-dimensional function spaces. However, existing theories frequently encounter difficulties related to dimensionality and limited…

Machine Learning · Computer Science 2026-05-12 Jianfei Li , Shuo Huang , Han Feng , Ding-Xuan Zhou , Gitta Kutyniok

Deep learning based methods have achieved remarkable success in image restoration and enhancement, but most such methods rely on RGB input images. These methods fail to take into account the rich spectral distribution of natural images. We…

Image and Video Processing · Electrical Eng. & Systems 2021-02-11 Harsh Sinha , Aditya Mehta , Murari Mandal , Pratik Narang

In many practical applications such as direction-of-arrival (DOA) estimation and line spectral estimation, the sparsifying dictionary is usually characterized by a set of unknown parameters in a continuous domain. To apply the conventional…

Information Theory · Computer Science 2015-06-18 Jun Fang , Jing Li , Yanning Shen , Hongbin Li , Shaoqian Li

This paper concerns a deep learning approach to relevance ranking in information retrieval (IR). Existing deep IR models such as DSSM and CDSSM directly apply neural networks to generate ranking scores, without explicit understandings of…

Information Retrieval · Computer Science 2019-07-23 Liang Pang , Yanyan Lan , Jiafeng Guo , Jun Xu , Jingfang Xu , Xueqi Cheng

One of the biggest challenges for deep learning algorithms in medical image analysis is the indiscriminate mixing of image properties, e.g. artifacts and anatomy. These entangled image properties lead to a semantically redundant feature…

Machine Learning · Computer Science 2019-08-22 Qingjie Meng , Nick Pawlowski , Daniel Rueckert , Bernhard Kainz

Spectral clustering is a leading and popular technique in unsupervised data analysis. Two of its major limitations are scalability and generalization of the spectral embedding (i.e., out-of-sample-extension). In this paper we introduce a…

Machine Learning · Statistics 2024-11-06 Uri Shaham , Kelly Stanton , Henry Li , Boaz Nadler , Ronen Basri , Yuval Kluger

While in a classification or a regression setting a label or a value is assigned to each individual document, in a ranking setting we determine the relevance ordering of the entire input document list. This difference leads to the notion of…

Information Retrieval · Computer Science 2021-05-07 Qingyao Ai , Xuanhui Wang , Sebastian Bruch , Nadav Golbandi , Michael Bendersky , Marc Najork

Many important problems are characterized by the eigenvalues of a large matrix. For example, the difficulty of many optimization problems, such as those arising from the fitting of large models in statistics and machine learning, can be…

To enhance the performance of the recommender system, side information is extensively explored with various features (e.g., visual features and textual features). However, there are some demerits of side information: (1) the extra data is…

Information Retrieval · Computer Science 2019-05-03 Wenhui Yu , Zheng Qin

Pairing a lexical retriever with a neural re-ranking model has set state-of-the-art performance on large-scale information retrieval datasets. This pipeline covers scenarios like question answering or navigational queries, however, for…

Information Retrieval · Computer Science 2022-10-20 Tim Baumgärtner , Leonardo F. R. Ribeiro , Nils Reimers , Iryna Gurevych

The leap in performance in state-of-the-art computer vision methods is attributed to the development of deep neural networks. However it often comes at a computational price which may hinder their deployment. To alleviate this limitation,…

Computer Vision and Pattern Recognition · Computer Science 2022-07-12 Edouard Yvinec , Arnaud Dapogny , Matthieu Cord , Kevin Bailly