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We study the estimation of a high dimensional approximate factor model in the presence of both cross sectional dependence and heteroskedasticity. The classical method of principal components analysis (PCA) does not efficiently estimate the…

统计方法学 · 统计学 2012-10-01 Jushan Bai , Yuan Liao

Reparameterization (RP) and likelihood ratio (LR) gradient estimators are used to estimate gradients of expectations throughout machine learning and reinforcement learning; however, they are usually explained as simple mathematical tricks,…

机器学习 · 计算机科学 2021-06-01 Paavo Parmas , Masashi Sugiyama

Cardinality sketches are popular data structures that enhance the efficiency of working with large data sets. The sketches are randomized representations of sets that are only of logarithmic size but can support set merges and approximate…

数据结构与算法 · 计算机科学 2024-05-29 Sara Ahmadian , Edith Cohen

We present the results of a study to optimize the principal component analysis (PCA) algorithm for planet detection, a new algorithm complementing ADI and LOCI for increasing the contrast achievable next to a bright star. The stellar PSF is…

地球与行星天体物理 · 物理学 2015-06-17 T. Meshkat , M. Kenworthy , S. P. Quanz , A. Amara

Answering reasoning-based complex questions over text and hybrid sources, including tables, is a challenging task. Recent advances in large language models (LLMs) have enabled in-context learning (ICL), allowing LLMs to acquire proficiency…

Principal Component Analysis (PCA) is a very successful dimensionality reduction technique, widely used in predictive modeling. A key factor in its widespread use in this domain is the fact that the projection of a dataset onto its first…

机器学习 · 统计学 2017-05-19 Xianghui Luo , Robert J. Durrant

This work addresses a procedure to estimate fundamental stellar parameters such as T eff , logg, [Fe/H], and v sin i using a dimensionality reduction technique called Principal Component Analysis (PCA), applied to a large database of…

太阳与恒星天体物理 · 物理学 2015-08-18 W. Farah , M. Gebran , F. Paletou , R. Blomme

Probabilistic Circuits (PCs) offer a computationally scalable framework for generative modeling, supporting exact and efficient inference of a wide range of probabilistic queries. While recent advances have significantly improved the…

机器学习 · 计算机科学 2025-10-07 Anji Liu , Zilei Shao , Guy Van den Broeck

The extremal index $\theta$, a measure of the degree of local dependence in the extremes of a stationary process, plays an important role in extreme value analyses. We estimate $\theta$ semiparametrically, using the relationship between the…

统计方法学 · 统计学 2016-06-02 Paul J. Northrop

Count distinct or cardinality estimates are widely used in network monitoring for security. They can be used, for example, to detect the malware spread, network scans, or a denial of service attack. There are many algorithms to estimate…

密码学与安全 · 计算机科学 2023-03-07 Pedro Reviriego , Daniel Ting

Data sketches are a set of widely used approximated data summarizing techniques. Their fundamental property is sub-linear memory complexity on the input cardinality, an important aspect when processing streams or data sets with a vast base…

分布式、并行与集群计算 · 计算机科学 2020-10-21 Amit Kulkarni , Monica Chiosa , Thomas B. Preußer , Kaan Kara , David Sidler , Gustavo Alonso

Principal component analysis (PCA) is one of the most commonly used statistical procedures with a wide range of applications. This paper considers both minimax and adaptive estimation of the principal subspace in the high dimensional…

统计理论 · 数学 2014-01-08 T. Tony Cai , Zongming Ma , Yihong Wu

At the intersection between traditional CPU architectures and more specialized options such as FPGAs or ASICs lies the family of reconfigurable hardware architectures, termed Coarse-Grained Reconfigurable Arrays (CGRAs). CGRAs are composed…

硬件体系结构 · 计算机科学 2025-09-05 Maxime Henri Aspros , Juan Sapriza , Giovanni Ansaloni , David Atienza

The first order behavior of multivariate heavy-tailed random vectors above large radial thresholds is ruled by a limit measure in a regular variation framework. For a high dimensional vector, a reasonable assumption is that the support of…

统计理论 · 数学 2019-06-27 Holger Drees , Anne Sabourin

Principal component analysis (PCA) is a widely used technique for data analysis and dimension reduction with numerous applications in science and engineering. However, the standard PCA suffers from the fact that the principal components…

最优化与控制 · 数学 2009-07-14 Zhaosong Lu , Yong Zhang

In probabilistic principal component analysis (PPCA), an observed vector is modeled as a linear transformation of a low-dimensional Gaussian factor plus isotropic noise. We generalize PPCA to tensors by constraining the loading operator to…

统计理论 · 数学 2025-10-23 Yaoming Zhen , Piotr Zwiernik

Scaling dense PCFGs to thousands of nonterminals via a low-rank parameterization of the rule probability tensor has been shown to be beneficial for unsupervised parsing. However, PCFGs scaled this way still perform poorly as a language…

计算与语言 · 计算机科学 2023-10-24 Wei Liu , Songlin Yang , Yoon Kim , Kewei Tu

Principal Component Analysis (PCA) is an efficient tool to optimize the multiparameter tests of general relativity (GR) where one tests for simultaneous deviations in multiple post-Newtonian (PN) phasing coefficients by introducing…

广义相对论与量子宇宙学 · 物理学 2022-08-17 Sayantani Datta , M. Saleem , K. G. Arun , B. S. Sathyaprakash

We present DegreeSketch, a semi-streaming distributed sketch data structure and demonstrate its utility for estimating local neighborhood sizes and local triangle count heavy hitters on massive graphs. DegreeSketch consists of…

分布式、并行与集群计算 · 计算机科学 2020-04-10 Benjamin W. Priest

Large language models (LLMs) offer strong high-level planning capabilities for reinforcement learning (RL) by decomposing tasks into subgoals. However, their practical utility is limited by poor planning-execution alignment, which reflects…

机器学习 · 计算机科学 2025-12-09 Shanwei Fan , Bin Zhang , Zhiwei Xu , Yingxuan Teng , Siqi Dai , Lin Cheng , Guoliang Fan