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We describe a new incomplete but terminating method for real root finding for large multivariate polynomials. We take an abstract view of the polynomial as the set of exponent vectors associated with sign information on the coefficients.…

Symbolic Computation · Computer Science 2018-04-30 Thomas Sturm

Although Faster R-CNN and its variants have shown promising performance in object detection, they only exploit simple first-order representation of object proposals for final classification and regression. Recent classification methods…

Computer Vision and Pattern Recognition · Computer Science 2018-04-03 Hao Wang , Qilong Wang , Mingqi Gao , Peihua Li , Wangmeng Zuo

Cartogram drawing is a technique for showing geography-related statistical information, such as demographic and epidemiological data. The idea is to distort a map by resizing its regions according to a statistical parameter by keeping the…

Computation · Statistics 2018-08-30 Christian Panse

Quantitative loop invariants are an essential element in the verification of probabilistic programs. Recently, multivariate Lagrange interpolation has been applied to synthesizing polynomial invariants. In this paper, we propose an…

Logic in Computer Science · Computer Science 2017-07-11 Yijun Feng , Lijun Zhang , David N. Jansen , Naijun Zhan , Bican Xia

Large pre-trained vision-language models (VLMs) offer a promising approach to leveraging human language for enhancing downstream tasks. However, VLMs such as CLIP face significant limitation: its performance is highly sensitive to prompt…

Computer Vision and Pattern Recognition · Computer Science 2025-03-13 Ao Li , Zongfang Liu , Xinhua Li , Jinghui Zhang , Pengwei Wang , Hu Wang

Clustering of variables is as a way to arrange variables into homogeneous clusters, i.e., groups of variables which are strongly related to each other and thus bring the same information. These approaches can then be useful for dimension…

Computation · Statistics 2012-12-12 M. Chavent , V. Kuentz , B. Liquet , L. Saracco

In this vignette, we introduce the UPG package for efficient Bayesian inference in probit, logit, multinomial logit and binomial logit models. UPG offers a convenient estimation framework for balanced and imbalanced data settings where…

Computation · Statistics 2023-07-03 Gregor Zens , Sylvia Frühwirth-Schnatter , Helga Wagner

The study of animal diets and the proportional contribution that different foods make to their diets is an important task in ecology. Stable Isotope Mixing Models (SIMMs) are an important tool for studying an animal's diet and understanding…

An important problem that arises in different areas of science and engineering is that of computing the limits of sequences of vectors $\{\xx_m\}$, where $\xx_m\in \C^N$, $N$ being very large. Such sequences arise, for example, in the…

Numerical Analysis · Mathematics 2015-05-05 Avram Sidi

Matrix Distributed Processing (MDP) is a C++ library for fast development of efficient parallel algorithms. It constitues the core of FermiQCD. MDP enables programmers to focus on algorithms, while parallelization is dealt with…

High Energy Physics - Lattice · Physics 2007-05-23 Massimo Di Pierro

Raven's Progressive Matrices (RPM) have been widely used for Intelligence Quotient (IQ) test of humans. In this paper, we aim to solve RPM with neural networks in both supervised and unsupervised manners. First, we investigate strategies to…

Computer Vision and Pattern Recognition · Computer Science 2020-02-07 Tao Zhuo , Mohan Kankanhalli

Large Multimodal Models (LMMs) have emerged as powerful models capable of understanding various data modalities, including text, images, and videos. LMMs encode both text and visual data into tokens that are then combined and processed by…

Computer Vision and Pattern Recognition · Computer Science 2025-04-03 Saeed Ranjbar Alvar , Gursimran Singh , Mohammad Akbari , Yong Zhang

We present a novel architecture for accelerating PIV calculations. An optical flow hardware accelerator does the brunt of the work, with cross-correlation only providing quick corrections. The result is RapidPIV: a free-to-download software…

Fluid Dynamics · Physics 2025-04-28 Scott A. Bollt , Samuel H. Foxman , Morteza Gharib

Although various forms of linkage map construction software are widely available, there is a distinct lack of packages for use in the R statistical computing environment. This article introduces the ASMap linkage map construction R package…

Computation · Statistics 2017-07-18 Julian Taylor , David Butler

Parallel coordinate plots (PCP) are a useful tool in exploratory data analysis of high-dimensional numerical data. The use of PCPs is limited when working with categorical variables or a mix of categorical and continuous variables. In this…

Graphics · Computer Science 2020-09-29 Yawei Ge , Heike Hofmann

This paper describes the R package mvLSW. The package contains a suite of tools for the analysis of multivariate locally stationary wavelet (LSW) time series. Key elements include: (i) the simulation of multivariate LSW time series for a…

Computation · Statistics 2018-10-24 Simon A. C. Taylor , Timothy Park , Idris A. Eckley

Visual Document Retrieval (VDR), which aims to retrieve relevant pages within vast corpora of visually-rich documents, is of significance in current multimodal retrieval applications. The state-of-the-art multi-vector paradigm excels in…

Computation and Language · Computer Science 2026-04-21 Yibo Yan , Mingdong Ou , Yi Cao , Xin Zou , Jiahao Huo , Shuliang Liu , James Kwok , Xuming Hu

In April 2025 GMV announced a competition for finding the best method to solve a particular polynomial system over a finite field. In this paper we provide a method for solving the given equation system significantly faster than what is…

Computational Complexity · Computer Science 2026-03-06 Àngela Barbero , Ragnar Freij-Hollanti , Camilla Hollanti , Håvard Raddum , Øyvind Ytrehus , Morten Øygarden

The R package optimall offers a collection of functions that efficiently streamline the design process of sampling in surveys ranging from simple to complex. The package's main functions allow users to interactively define and adjust strata…

Methodology · Statistics 2021-06-18 Jasper B. Yang , Bryan E. Shepherd , Thomas Lumley , Pamela A. Shaw

A method for evaluating matrix polynomials have recently been developed that require one fewer matrix product ($1M$) than the Paterson--Stockmeyer (PS) method. Since the computational cost for large-scale matrices is asymptotically…

Numerical Analysis · Mathematics 2026-03-25 J. M. Alonso , J. Sastre , J. Ibáñez , E. Defez