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The task of finding the optimal compression of a polyline with straight-line segments and arcs is performed in many applications, such as polyline compression, noise filtering, and feature recognition. Optimal compression algorithms find…

Computational Geometry · Computer Science 2018-11-15 Alexander Gribov

Two new algorithms are described for matching two dimensional coordinate lists of point sources that are signifcantly faster than previous methods. By matching rarely occurring triangles (or more complex shapes) in the two lists, and by…

Astrophysics · Physics 2009-11-13 V. Tabur

We present a silicon-photonic tensor core using 2D ferroelectric materials to enable wavelength- and polarization-domain computing. Results, based on experimentally characterized material properties, show up to 83% improvement in…

Optics · Physics 2025-02-03 Amin Shafiee , Linhong Chen , Sudeep Pasricha , Jie Yao , Mahdi Nikdast

Absolute pose estimation is a fundamental problem in computer vision, and it is a typical parameter estimation problem, meaning that efforts to solve it will always suffer from outlier-contaminated data. Conventionally, for a fixed…

Computer Vision and Pattern Recognition · Computer Science 2019-12-17 Yinlong Liu , Xuechen Li , Manning Wang , Guang Chen , Zhijian Song , Alois Knoll

Efficient vectors are the natural set from which to choose a cardinal ranking vector for a pairwise comparison matrix. Such vectors are the key to certain business project selection models. Many ways to construct specific efficient vectors…

Combinatorics · Mathematics 2024-04-23 Susana Furtado , Charles Johnson

We consider the post-training quantization problem, which discretizes the weights of pre-trained deep neural networks without re-training the model. We propose multipoint quantization, a quantization method that approximates a…

Machine Learning · Computer Science 2021-01-15 Xingchao Liu , Mao Ye , Dengyong Zhou , Qiang Liu

As a partial answer to a question of Rao, a deterministic and customizable efficient algorithm is presented to test whether an arbitrary graphical degree sequence has a bipartite realization. The algorithm can be configured to run in…

Combinatorics · Mathematics 2019-08-20 Kai Wang

We present an algorithm for the classification of linear codes over finite fields, based on lattice point enumeration. We validate a correct implementation of our algorithm with known classification results from the literature, which we…

Combinatorics · Mathematics 2019-12-20 Sascha Kurz

Silhouettes or 2D planar shapes are extremely important in human communication, which involves many logos, graphics symbols and fonts in vector form. Many more shapes can be extracted from image by binarization or segmentation, thus in…

Graphics · Computer Science 2020-07-24 Yuchen He , Sung Ha Kang , Jean-Michel Morel

Prior work on Automatically Scalable Computation (ASC) suggests that it is possible to parallelize sequential computation by building a model of whole-program execution, using that model to predict future computations, and then…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-09-21 Peter Kraft , Amos Waterland , Daniel Y Fu , Anitha Gollamudi , Shai Szulanski , Margo Seltzer

Predicting effective thermal conductivity by solving a Partial Differential Equation (PDE) defined on a high-resolution Representative Volume Element (RVE) is a computationally intensive task. In this paper, we tackle the task by proposing…

Numerical Analysis · Mathematics 2024-04-04 Changqing Ye , Shubin Fu , Eric T. Chung

This paper deals with exploiting symmetry for solving linear and integer programming problems. Basic properties of linear representations of finite groups can be used to reduce symmetric linear programming to solving linear programs of…

Optimization and Control · Mathematics 2015-07-31 Richard Bödi , Katrin Herr , Michael Joswig

Calculating interactions or correlations between pairs of particles is typically the most time-consuming task in particle simulation or correlation analysis. Straightforward implementations using a double loop over particle pairs have…

Computational Physics · Physics 2015-06-16 Szilárd Páll , Berk Hess

Vectorization is increasingly important to achieve high performance on modern hardware with SIMD instructions. Assembly of matrices and vectors in the finite element method, which is characterized by iterating a local assembly kernel over…

Mathematical Software · Computer Science 2020-08-26 Tianjiao Sun , Lawrence Mitchell , Kaushik Kulkarni , Andreas Klöckner , David A. Ham , Paul H. J. Kelly

The ability to efficiently infer system parameters is essential in any signal-processing task that requires fast operation. Dealing with quantum systems, a serious challenge arises due to substantial growth of the underlying Hilbert space…

Quantum Physics · Physics 2025-04-23 Lewis A. Clark , Jan Kolodynski

In this work, a rationalized algorithm for calculating the quotient of two quaternions is presented which reduces the number of underlying real multiplications. Hardware for fast multiplication is much more expensive than hardware for fast…

Signal Processing · Electrical Eng. & Systems 2020-09-02 Aleksandr Cariow , Galina Cariowa

The Exact Set Similarity Join problem aims to find all similar sets between two collections of sets, with respect to a threshold and a similarity function such as overlap, Jaccard, dice or cosine. The naive approach verifies all pairs of…

Databases · Computer Science 2017-11-21 Edans F. O. Sandes , George Teodoro , Alba C. M. A. Melo

Processor manufacturers build increasingly specialized processors to mitigate the effects of the power wall to deliver improved performance. Currently, database engines are manually optimized for each processor: A costly and error prone…

Databases · Computer Science 2017-09-05 Sebastian Breß , Bastian Köcher , Henning Funke , Tilmann Rabl , Volker Markl

This piece of work presents a meaningful example for the advantages of using bitwise operations for creating effective algorithms in programming. A task connected with mathematical modeling in weaving industry is examined and computed.

Other Computer Science · Computer Science 2012-01-09 Krasimir Yankov Yordzhev

We present a computational framework for piecewise constant functions (PCFs) and use this for several types of computations that are useful in statistics, e.g., averages, similarity matrices, and so on. We give a linear-time,…

Computation · Statistics 2024-04-11 Björn H. Wehlin
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