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A general asymptotic framework is developed for studying consis- tency properties of principal component analysis (PCA). Our frame- work includes several previously studied domains of asymptotics as special cases and allows one to…

Statistics Theory · Mathematics 2016-11-26 Dan Shen , Haipeng Shen , J. S. Marron

Sparse principal component analysis (SPCA) has emerged as a powerful technique for modern data analysis, providing improved interpretation of low-rank structures by identifying localized spatial structures in the data and disambiguating…

Diversity in patent language is growing and makes finding synonyms for conducting patent searches more and more challenging. In addition to that, most approaches for dealing with diverse patent language are based on manual search and human…

Computation and Language · Computer Science 2024-09-04 Mark Standke , Abdullah Kiwan , Annalena Lange , Silvan Berg

Keyphrase generation is the task of generating phrases (keyphrases) that summarize the main topics of a given document. Keyphrases can be either present or absent from the given document. While the extraction of present keyphrases has…

Computation and Language · Computer Science 2022-10-25 Jishnu Ray Chowdhury , Seoyeon Park , Tuhin Kundu , Cornelia Caragea

Principal components analysis (PCA) is a classical method for the reduction of dimensionality of data in the form of n observations (or cases) of a vector with p variables. For a simple model of factor analysis type, it is proved that…

Statistics Theory · Mathematics 2009-01-29 Iain M Johnstone , Arthur Yu Lu

This paper introduces a novel, multi stage hybrid intelligence framework for pruning patent portfolios to identify high value assets for technology transfer. Current patent valuation methods often rely on retrospective indicators or manual,…

Artificial Intelligence · Computer Science 2025-11-28 Manish Verma , Vivek Sharma , Vishal Singh

Principal component analysis (PCA) is routinely used in population genetics to assess genetic structure. With chromosomal reference genomes and population-scale whole genome-sequencing becoming increasingly accessible, contemporary studies…

Populations and Evolution · Quantitative Biology 2025-01-22 L. Moritz Blumer , Jeffrey M. Good , Richard Durbin

Sparse principal component analysis (PCA) is an important technique for dimensionality reduction of high-dimensional data. However, most existing sparse PCA algorithms are based on non-convex optimization, which provide little guarantee on…

Methodology · Statistics 2019-11-20 Yixuan Qiu , Jing Lei , Kathryn Roeder

Open-domain question answering can be reformulated as a phrase retrieval problem, without the need for processing documents on-demand during inference (Seo et al., 2019). However, current phrase retrieval models heavily depend on sparse…

Computation and Language · Computer Science 2021-06-03 Jinhyuk Lee , Mujeen Sung , Jaewoo Kang , Danqi Chen

The technological landscape changes daily, making it nearly impossible for a single person to be aware of all trends or available tools that may or may not be suitable for their software project. This makes tool selection and architectural…

Software Engineering · Computer Science 2025-09-15 Sebastian Copei , Oliver Hohlfeld , Jens Kosiol

What-if analysis is widely used to explore hypothetical scenarios and evaluate alternative pathways to desired results. However, current approaches are fragmented: systems implement what-if capabilities under diverse terminologies with…

Human-Computer Interaction · Computer Science 2026-04-13 Sneha Gathani , Kevin Li , Raghav Thind , Sirui Zeng , Matthew Xu , Peter J. Haas , Cagatay Demiralp , Zhicheng Liu

After a decade of extensive study of the sparse representation synthesis model, we can safely say that this is a mature and stable field, with clear theoretical foundations, and appealing applications. Alongside this approach, there is an…

Numerical Analysis · Mathematics 2012-04-26 Sangnam Nam , Mike E. Davies , Michael Elad , Rémi Gribonval

We present KeyMorph, a deep learning-based image registration framework that relies on automatically detecting corresponding keypoints. State-of-the-art deep learning methods for registration often are not robust to large misalignments, are…

Computer Vision and Pattern Recognition · Computer Science 2023-09-04 Alan Q. Wang , Evan M. Yu , Adrian V. Dalca , Mert R. Sabuncu

We propose a two-stage neural model to tackle question generation from documents. First, our model estimates the probability that word sequences in a document are ones that a human would pick when selecting candidate answers by training a…

Computation and Language · Computer Science 2018-05-31 Sandeep Subramanian , Tong Wang , Xingdi Yuan , Saizheng Zhang , Yoshua Bengio , Adam Trischler

The simplified parse tree (SPT) presented in Aroma, a state-of-the-art code recommendation system, is a tree-structured representation used to infer code semantics by capturing program \emph{structure} rather than program \emph{syntax}.…

Recent studies on Knowledge Base Question Answering (KBQA) have shown great progress on this task via better question understanding. Previous works for encoding questions mainly focus on the word sequences, but seldom consider the…

Computation and Language · Computer Science 2021-07-19 Pengju Zhang , Yonghui Jia , Muhua Zhu , Wenliang Chen , Min Zhang

With the maturity of visual detection techniques, we are more ambitious in describing visual content with open-vocabulary, fine-grained and free-form language, i.e., the task of image captioning. In particular, we are interested in…

Computer Vision and Pattern Recognition · Computer Science 2019-06-07 Zheng-Jun Zha , Daqing Liu , Hanwang Zhang , Yongdong Zhang , Feng Wu

We introduce the notion of point affiliation into feature upsampling. By abstracting a feature map into non-overlapped semantic clusters formed by points of identical semantic meaning, feature upsampling can be viewed as point affiliation…

Computer Vision and Pattern Recognition · Computer Science 2023-07-18 Wenze Liu , Hao Lu , Yuliang Liu , Zhiguo Cao

Missing data is a commonly occurring problem in practice. Many imputation methods have been developed to fill in the missing entries. However, not all of them can scale to high-dimensional data, especially the multiple imputation…

Machine Learning · Computer Science 2023-03-21 Thu Nguyen , Hoang Thien Ly , Michael Alexander Riegler , Pål Halvorsen , Hugo L. Hammer

Principal Component Analysis (PCA) is a powerful and popular dimensionality reduction technique. However, due to its linear nature, it often fails to capture the complex underlying structure of real-world data. While Kernel PCA (kPCA)…

Machine Learning · Computer Science 2026-02-05 Thomas Uriot , Elise Chung