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We consider the problem of enabling robust range estimation of eigenvalue decomposition (EVD) algorithm for a reliable fixed-point design. The simplicity of fixed-point circuitry has always been so tempting to implement EVD algo- rithms in…

Numerical Analysis · Computer Science 2017-11-30 Bibek Kabi , Anand S Sahadevan , Tapan Pradhan

We devise a variable precision floating-point arithmetic by exploiting the framework provided by the Infinity Computer. This is a computational platform implementing the Infinity Arithmetic system, a positional numeral system which can…

Numerical Analysis · Mathematics 2022-03-28 Pierluigi Amodio , Luigi Brugnano , Felice Iavernaro , Francesca Mazzia

In this paper, we propose a novel variable rate deep compression architecture that operates on raw 3D point cloud data. The majority of learning-based point cloud compression methods work on a downsampled representation of the data.…

Computer Vision and Pattern Recognition · Computer Science 2022-05-17 Md Ahmed Al Muzaddid , William J. Beksi

Floating-point data is widely used across various domains. Depending on the required precision, each floating-point value can occupy several bytes. Lossless storage of this information is crucial due to its critical accuracy, as seen in…

Databases · Computer Science 2025-08-11 Samirasadat Jamalidinan , Kazem Cheshmi

We consider change-point estimation in a sequence of high-dimensional signals given noisy observations. Classical approaches to this problem such as the filtered derivative method are useful for sequences of scalar-valued signals, but they…

Statistics Theory · Mathematics 2015-01-08 Yong Sheng Soh , Venkat Chandrasekaran

We propose a method for constructing sparse high-frequency volatility estimators that are robust against change points in the spot volatility process. The estimators we propose are $\ell_1$-regularized versions of existing volatility…

Statistical Finance · Quantitative Finance 2024-07-02 Greeshma Balabhadra , El Mehdi Ainasse , Pawel Polak

The study addresses the problem of precision in floating-point (FP) computations. A method for estimating the errors which affect intermediate and final results is proposed and a summary of many software simulations is discussed. The basic…

Numerical Analysis · Computer Science 2012-01-31 Glauco Masotti

Beamforming design for extremely large-scale multiple-input multiple-output (XL-MIMO) systems is challenging due to prohibitive computational complexity and complex near-field propagation effects. To address this, this paper introduces a…

Information Theory · Computer Science 2026-04-13 Xiyuan Liu , Qingqing Wu , Rui Wang , Qiaoyan Peng , Jun Wu

High-throughput QR decomposition is a key operation in many advanced signal processing and communication applications. For some of these applications, using floating-point computation is becoming almost compulsory. However, there are scarce…

Hardware Architecture · Computer Science 2020-10-26 Javier Hormigo , Sergio D. Muñoz

Performing the inference step of deep learning in resource constrained environments, such as embedded devices, is challenging. Success requires optimization at both software and hardware levels. Low precision arithmetic and specifically low…

Computer Vision and Pattern Recognition · Computer Science 2018-05-23 Seyed H. F. Langroudi , Tej Pandit , Dhireesha Kudithipudi

We present a new object representation, called Dense RepPoints, that utilizes a large set of points to describe an object at multiple levels, including both box level and pixel level. Techniques are proposed to efficiently process these…

Computer Vision and Pattern Recognition · Computer Science 2020-05-19 Ze Yang , Yinghao Xu , Han Xue , Zheng Zhang , Raquel Urtasun , Liwei Wang , Stephen Lin , Han Hu

Floating-point computations are quickly finding their way in the design of safety- and mission-critical systems, despite the fact that designing floating-point algorithms is significantly more difficult than designing integer algorithms.…

Artificial Intelligence · Computer Science 2015-08-03 Roberto Bagnara , Matthieu Carlier , Roberta Gori , Arnaud Gotlieb

Mobile robots and autonomous vehicles are often required to function in environments where critical position estimates from sensors such as GPS become uncertain or unreliable. Single image visual place recognition (VPR) provides an…

Computer Vision and Pattern Recognition · Computer Science 2024-07-02 Connor Malone , Ankit Vora , Thierry Peynot , Michael Milford

Powerful 3D representations such as DUSt3R invariant point maps, which encode 3D shape and camera parameters, have significantly advanced feed forward 3D reconstruction. While point maps assume static scenes, Dynamic Point Maps (DPMs)…

Computer Vision and Pattern Recognition · Computer Science 2026-01-15 Edgar Sucar , Eldar Insafutdinov , Zihang Lai , Andrea Vedaldi

With the proliferation of embedded systems requiring intelligent behavior, custom number systems to optimize performance per Watt of the entire system become essential components for successful commercial products. We present the Universal…

Computational Engineering, Finance, and Science · Computer Science 2020-12-22 E. Theodore L. Omtzigt , Peter Gottschling , Mark Seligman , William Zorn

We present Point-Voxel CNN (PVCNN) for efficient, fast 3D deep learning. Previous work processes 3D data using either voxel-based or point-based NN models. However, both approaches are computationally inefficient. The computation cost and…

Computer Vision and Pattern Recognition · Computer Science 2019-12-11 Zhijian Liu , Haotian Tang , Yujun Lin , Song Han

The Multi-voltage Threshold (MVT) method, which samples the signal by certain reference voltages, has been well developed as being adopted in pre-clinical and clinical digital positron emission tomography(PET) system. To improve its energy…

Signal Processing · Electrical Eng. & Systems 2021-03-10 Kezhang Zhu , Junhua Mei , Yuming Su , Pingping Dai , Nicola D'Ascenzo , Hao Wang , Peng Xiao , Lin Wan , Qingguo Xie

While advancements in quantization have significantly reduced the computational costs of inference in deep learning, training still predominantly relies on complex floating-point arithmetic. Low-precision fixed-point training presents a…

Machine Learning · Computer Science 2025-10-21 Hassan Hamad , Yuou Qiu , Peter A. Beerel , Keith M. Chugg

In Topological Data Analysis, a common way of quantifying the shape of data is to use a persistence diagram (PD). PDs are multisets of points in $\mathbb{R}^2$ computed using tools of algebraic topology. However, this multi-set structure…

Computer Vision and Pattern Recognition · Computer Science 2021-09-20 Kit C. Chan , Umar Islambekov , Alexey Luchinsky , Rebecca Sanders

Floating point multiplication is one of the crucial operations in many application domains such as image processing, signal processing etc. But every application requires different working features. Some need high precision, some need low…

Hardware Architecture · Computer Science 2020-12-08 S. Arish , R. K. Sharma