English
Related papers

Related papers: PolyFit: Polynomial-based Indexing Approach for Fa…

200 papers

We study strategies of approximate pattern matching that exploit bidirectional text indexes, extending and generalizing ideas of Lam et al. We introduce a formalism, called search schemes, to specify search strategies of this type, then…

Data Structures and Algorithms · Computer Science 2015-09-08 Gregory Kucherov , Kamil Salikhov , Dekel Tsur

Database indexes facilitate data retrieval and benefit broad applications in real-world systems. Recently, a new family of index, named learned index, is proposed to learn hidden yet useful data distribution and incorporate such information…

Databases · Computer Science 2021-01-05 Yaliang Li , Daoyuan Chen , Bolin Ding , Kai Zeng , Jingren Zhou

Range-filtering approximate nearest neighbor (RFANN) search is attracting increasing attention in academia and industry. Given a set of data objects, each being a pair of a high-dimensional vector and a numeric value, an RFANN query with a…

Databases · Computer Science 2024-09-05 Yuexuan Xu , Jianyang Gao , Yutong Gou , Cheng Long , Christian S. Jensen

In a dynamic retrieval system, documents must be ingested as they arrive, and be immediately findable by queries. Our purpose in this paper is to describe an index structure and processing regime that accommodates that requirement for…

Information Retrieval · Computer Science 2023-01-12 Alistair Moffat , Joel Mackenzie

Superpixels have become very popular in many computer vision applications. Nevertheless, they remain underexploited since the superpixel decomposition may produce irregular and non stable segmentation results due to the dependency to the…

Computer Vision and Pattern Recognition · Computer Science 2025-09-26 Rémi Giraud , Vinh-Thong Ta , Aurélie Bugeau , Pierrick Coupé , Nicolas Papadakis

Finding approximate occurrences of a pattern in a text using a full-text index is a central problem in bioinformatics and has been extensively researched. Bidirectional indices have opened new possibilities in this regard allowing the…

Data Structures and Algorithms · Computer Science 2018-03-06 Kiavash Kianfar , Christopher Pockrandt , Bahman Torkamandi , Haochen Luo , Knut Reinert

Developing a universal model that can efficiently and effectively respond to a wide range of information access requests -- from retrieval to recommendation to question answering -- has been a long-lasting goal in the information retrieval…

Information Retrieval · Computer Science 2023-04-27 Hansi Zeng , Surya Kallumadi , Zaid Alibadi , Rodrigo Nogueira , Hamed Zamani

We enhance the approximation capabilities of algebraic polynomials by composing them with homeomorphisms. This composition yields families of functions that remain dense in the space of continuous functions, while enabling more accurate…

Numerical Analysis · Mathematics 2025-12-17 Álvaro Fernández Corral , Yahya Saleh

Similarity search based on a distance function in metric spaces is a fundamental problem for many applications. Queries for similar objects lead to the well-known machine learning task of nearest-neighbours identification. Many data…

Information Retrieval · Computer Science 2022-08-05 Felipe Ortega , Maria Jesus Algar , Isaac Martín de Diego , Javier M. Moguerza

We propose to approximate a (possibly discontinuous) multivariate function f (x) on a compact set by the partial minimizer arg miny p(x, y) of an appropriate polynomial p whose construction can be cast in a univariate sum of squares (SOS)…

Numerical Analysis · Mathematics 2025-07-22 Didier Henrion , Milan Korda , Jean-Bernard Lasserre

Graph pattern matching is a fundamental operation for the analysis and exploration ofdata graphs. In thispaper, we presenta novel approachfor efficiently finding homomorphic matches for hybrid graph patterns, where each pattern edge may be…

Databases · Computer Science 2022-09-29 Xiaoying Wu , Dimitri Theodoratos , Nikos Mamoulis , Michael Lan

We present a novel deep learning approach to approximate the solution of large, sparse, symmetric, positive-definite linear systems of equations. These systems arise from many problems in applied science, e.g., in numerical methods for…

Machine Learning · Computer Science 2022-10-04 Ayano Kaneda , Osman Akar , Jingyu Chen , Victoria Kala , David Hyde , Joseph Teran

In multi-objective optimization, computing the entire non-dominated set (also known as the Pareto front or the Pareto frontier) is often intractable. However, for any multiplicative factor greater than one, an approximation set can be…

Optimization and Control · Mathematics 2026-04-30 Levin Nemesch , Stefan Ruzika , Clemens Thielen , Alina Wittmann

This paper describes our experience developing polynomial approximations for trigonometric functions that produce correctly rounded results for multiple representations and rounding modes using the RLIBM approach. A key challenge with…

Programming Languages · Computer Science 2025-10-16 Sehyeok Park , Santosh Nagarakatte

Parameter estimation via unbinned maximum likelihood fits is a central technique in particle physics. This article introduces MoreFit, which aims to provide a more optimised, rapid and efficient fitting solution for unbinned maximum…

Data Analysis, Statistics and Probability · Physics 2026-02-05 Christoph Langenbruch

In this paper, we present a patch-based representation of surfaces, PolyFit, which is obtained by fitting jet functions locally on surface patches. Such a representation can be learned efficiently in a supervised fashion from both analytic…

Computer Vision and Pattern Recognition · Computer Science 2026-01-09 Ruochen Chen , Thuy Tran , Shaifali Parashar

Face recall is a basic human cognitive process performed routinely, e.g., when meeting someone and determining if we have met that person before. Assisting a subject during face recall by suggesting candidate faces can be challenging. One…

Machine Learning · Statistics 2016-04-29 Andres G. Abad , Luis I. Reyes Castro

The advent of highly accurate protein structure prediction methods has fueled an exponential expansion of the protein structure database. Consequently, there is a rising demand for rapid and precise structural homolog search. Traditional…

Biomolecules · Quantitative Biology 2023-12-01 Yuan Liu , Hong-Bin Shen

Polynomial reproduction plays a relevant role in deriving error estimates for various approximation schemes. Local reproduction in a quasi-uniform setting is a significant factor in the estimation of error and the assessment of stability…

Numerical Analysis · Mathematics 2024-11-25 Stefano De Marchi , Giacomo Cappellazzo

The need for multimodal data integration arises naturally when multiple complementary sets of features are measured on the same sample. Under a dependent multifactor model, we develop a fully data-driven orchestrated approximate message…

Methodology · Statistics 2026-01-22 Sagnik Nandy , Zongming Ma