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This paper presents a new technique for deterministic length reduction. This technique improves the running time of the algorithm presented in \cite{LR07} for performing fast convolution in sparse data. While the regular fast convolution of…

数据结构与算法 · 计算机科学 2008-02-04 Amihood Amir , Klim Efremenko , Oren Kapah , Ely Porat , Amir Rothschild

Finding maximum-cardinality matchings in undirected graphs is arguably one of the most central graph primitives. For $m$-edge and $n$-vertex graphs, it is well-known to be solvable in $O(m\sqrt{n})$ time; however, for several applications…

数据结构与算法 · 计算机科学 2020-07-24 George B. Mertzios , André Nichterlein , Rolf Niedermeier

As computational resources continue to increase, the storage and analysis of vast amounts of data will inevitably become a bottleneck in computational fluid dynamics (CFD) and related fields. Although compression algorithms and efficient…

流体动力学 · 物理学 2026-05-25 Janis Geise , Sebastian Spinner , Richard Semaan , Andre Weiner

Time series data appears in a variety of applications such as smart transportation and environmental monitoring. One of the fundamental problems for time series analysis is time series forecasting. Despite the success of recent deep time…

人工智能 · 计算机科学 2022-09-28 Baoyu Jing , Si Zhang , Yada Zhu , Bin Peng , Kaiyu Guan , Andrew Margenot , Hanghang Tong

In data science, vector autoregression (VAR) models are popular in modeling multivariate time series in the environmental sciences and other applications. However, these models are computationally complex with the number of parameters…

统计方法学 · 统计学 2022-09-20 Zhihao Hu , Shyam Ranganathan , Yang Shao , Xinwei Deng

Solving multi-objective optimization problems is important in various applications where users are interested in obtaining optimal policies subject to multiple, yet often conflicting objectives. A typical approach to obtain optimal policies…

系统与控制 · 电气工程与系统科学 2019-10-07 Huixin Zhan , Yongcan Cao

In many real-world applications, from robotics to pedestrian trajectory prediction, there is a need to predict multiple real-valued outputs to represent several potential scenarios. Current deep learning techniques to address…

机器学习 · 计算机科学 2023-12-20 David D. Nguyen , David Liebowitz , Surya Nepal , Salil S. Kanhere

Predicting the complexity of source code is essential for software development and algorithm analysis. Recently, Baik et al. (2025) introduced CodeComplex for code time complexity prediction. The paper shows that LLMs without fine-tuning…

人工智能 · 计算机科学 2025-10-13 Joonghyuk Hahn , Soohan Lim , Yo-Sub Han

Models with a large number of latent variables are often used to fully utilize the information in big or complex data. However, they can be difficult to estimate using standard approaches, and variational inference methods are a popular…

统计方法学 · 统计学 2021-04-20 Rubén Loaiza-Maya , Michael Stanley Smith , David J. Nott , Peter J. Danaher

In high-dimensional multivariate regression problems, enforcing low rank in the coefficient matrix offers effective dimension reduction, which greatly facilitates parameter estimation and model interpretation. However, commonly-used…

统计理论 · 数学 2017-07-18 Yiyuan She , Kun Chen

Variance components estimation and mixed model analysis are central themes in statistics with applications in numerous scientific disciplines. Despite the best efforts of generations of statisticians and numerical analysts, maximum…

统计计算 · 统计学 2015-09-25 Hua Zhou , Liuyi Hu , Jin Zhou , Kenneth Lange

Bai (2010) and Bai et al. (2012) proposed robust mixture regression method based on the M regression estimation. However, the M-estimators are robust against the outliers in response variables, but they are not robust against the outliers…

统计理论 · 数学 2015-11-24 Fatma Zehra Doğru , Olcay Arslan

Regularized regression problems are ubiquitous in statistical modeling, signal processing, and machine learning. Sparse regression in particular has been instrumental in scientific model discovery, including compressed sensing applications,…

机器学习 · 统计学 2018-11-09 Peng Zheng , Travis Askham , Steven L. Brunton , J. Nathan Kutz , Aleksandr Y. Aravkin

Functional logistic regression is a popular model to capture a linear relationship between binary response and functional predictor variables. However, many methods used for parameter estimation in functional logistic regression are…

统计方法学 · 统计学 2025-10-15 Berkay Akturk , Ufuk Beyaztas , Han Lin Shang

Missing values are a common problem that poses significant challenges to data analysis and machine learning. This problem necessitates the development of an effective imputation method to fill in the missing values accurately, thereby…

机器学习 · 计算机科学 2024-10-14 Zhongyi Yu , Zhenghao Wu , Shuhan Zhong , Weifeng Su , S. -H. Gary Chan , Chul-Ho Lee , Weipeng Zhuo

This tutorial gives a quick introduction to Variational Bayes (VB), also called Variational Inference or Variational Approximation, from a practical point of view. The paper covers a range of commonly used VB methods and an attempt is made…

统计计算 · 统计学 2021-03-03 Minh-Ngoc Tran , Trong-Nghia Nguyen , Viet-Hung Dao

We study the Matrix Multiplication Verification Problem (MMV) where the goal is, given three $n \times n$ matrices $A$, $B$, and $C$ as input, to decide whether $AB = C$. A classic randomized algorithm by Freivalds (MFCS, 1979) solves MMV…

数据结构与算法 · 计算机科学 2024-07-23 Huck Bennett , Karthik Gajulapalli , Alexander Golovnev , Evelyn Warton

It has been shown by Alon et al. that the so-called 'all-pairs shortest-path' problem can be solved in O((MV)^2.688 * log^3(V)) for graphs with V vertices, with integer distances bounded by M. We solve the more general problem for graphs in…

数据结构与算法 · 计算机科学 2009-12-08 Julian J. McAuley , Tibério S. Caetano

An algorithm which either finds an nonzero integer vector ${\mathbf m}$ for given $t$ real $n$-dimensional vectors ${\mathbf x}_1,...,{\mathbf x}_t$ such that ${\mathbf x}_i^T{\mathbf m}=0$ or proves that no such integer vector with norm…

符号计算 · 计算机科学 2010-10-12 Jingwei Chen , Yong Feng , Xiaolin Qin , Jingzhong Zhang

Document Understanding is an evolving field in Natural Language Processing (NLP). In particular, visual and spatial features are essential in addition to the raw text itself and hence, several multimodal models were developed in the field…

计算与语言 · 计算机科学 2024-04-18 Wiam Adnan , Joel Tang , Yassine Bel Khayat Zouggari , Seif Edinne Laatiri , Laurent Lam , Fabien Caspani