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The posit representation for real numbers is an alternative to the ubiquitous IEEE 754 floating-point standard. In this work, we present PERCIVAL, an application-level posit capable RISC-V core based on CVA6 that can execute all posit…

Hardware Architecture · Computer Science 2022-07-08 David Mallasén , Raul Murillo , Alberto A. Del Barrio , Guillermo Botella , Luis Piñuel , Manuel Prieto

Recently, the posit numerical format has shown promise for DNN data representation and compute with ultra-low precision ([5..8]-bit). However, majority of studies focus only on DNN inference. In this work, we propose DNN training using…

Machine Learning · Computer Science 2019-08-01 Hamed F. Langroudi , Zachariah Carmichael , Dhireesha Kudithipudi

Low precision arithmetic, in particular half precision floating point arithmetic, is now available in commercial hardware. Using lower precision can offer significant savings in computation and communication costs with proportional savings…

Numerical Analysis · Mathematics 2021-11-16 Eda Oktay , Erin Carson

This thesis examines a modern concept for machine numbers based on interval arithmetic called 'Unums' and compares it to IEEE 754 floating-point arithmetic, evaluating possible uses of this format where floating-point numbers are…

Numerical Analysis · Computer Science 2017-01-04 Laslo Hunhold

Verification of programs using floating-point arithmetic is challenging on several accounts. One of the difficulties of reasoning about such programs is due to the peculiarities of floating-point arithmetic: rounding errors, infinities,…

Programming Languages · Computer Science 2022-06-23 Roberto Bagnara , Abramo Bagnara , Fabio Biselli , Michele Chiari , Roberta Gori

Self-supervised speech representation learning methods like wav2vec 2.0 and Hidden-unit BERT (HuBERT) leverage unlabeled speech data for pre-training and offer good representations for numerous speech processing tasks. Despite the success…

Computation and Language · Computer Science 2022-04-29 Heng-Jui Chang , Shu-wen Yang , Hung-yi Lee

Recent renewed interest in optimizing and analyzing floating-point programs has lead to a diverse array of new tools for numerical programs. These tools are often complementary, each focusing on a distinct aspect of numerical programming.…

Programming Languages · Computer Science 2018-05-08 Heiko Becker , Pavel Pancheckha , Eva Darulova , Zachary Tatlock

Recently we introduced a class of number representations denoted RN-representations, allowing an un-biased rounding-to-nearest to take place by a simple truncation. In this paper we briefly review the binary fixed-point representation in an…

Numerical Analysis · Computer Science 2012-01-20 Peter Kornerup , Jean-Michel Muller , Adrien Panhaleux

There is a growing interest in the use of reduced-precision arithmetic, exacerbated by the recent interest in artificial intelligence, especially with deep learning. Most architectures already provide reduced-precision capabilities (e.g.,…

Hardware Architecture · Computer Science 2022-12-09 Olivier Sentieys , Daniel Menard

Interpolation for scattered data is a classical problem in numerical analysis, with a long history of theoretical and practical contributions. Recent advances have utilized deep neural networks to construct interpolators, exhibiting…

Machine Learning · Computer Science 2023-03-15 Shizhe Ding , Boyang Xia , Milong Ren , Dongbo Bu

Self-supervised approaches for speech representation learning are challenged by three unique problems: (1) there are multiple sound units in each input utterance, (2) there is no lexicon of input sound units during the pre-training phase,…

Computation and Language · Computer Science 2021-06-15 Wei-Ning Hsu , Benjamin Bolte , Yao-Hung Hubert Tsai , Kushal Lakhotia , Ruslan Salakhutdinov , Abdelrahman Mohamed

The typical processors used for scientific computing have fixed-width data-paths. This implies that mathematical libraries were specifically developed to target each of these fixed precisions (binary16, binary32, binary64). However, to…

Mathematical Software · Computer Science 2020-05-07 David Defour , Pablo de Oliveira Castro , Matei Istoan , Eric Petit

In this paper, simultaneously transmitting and reflecting (STAR) reconfigurable intelligent surface (RIS) is investigated in the multi-user mobile edge computing (MEC) system to improve the computation rate. Compared with traditional…

Information Theory · Computer Science 2023-05-02 Zhenrong Liu , Zongze Li , Miaowen Wen , Yi Gong , Yik-Chung Wu

The recent surge of interest in Deep Neural Networks (DNNs) has led to increasingly complex networks that tax computational and memory resources. Many DNNs presently use 16-bit or 32-bit floating point operations. Significant performance…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-01-23 Zachariah Carmichael , Hamed F. Langroudi , Char Khazanov , Jeffrey Lillie , John L. Gustafson , Dhireesha Kudithipudi

Recently, the face recognizers based on linear representations have been shown to deliver state-of-the-art performance. In real-world applications, however, face images usually suffer from expressions, disguises and random occlusions. The…

Computer Vision and Pattern Recognition · Computer Science 2015-03-19 Hanxi Li , Chunhua Shen , Yongsheng Gao

Single-stage multi-person human pose estimation (MPPE) methods have shown great performance improvements, but existing methods fail to disentangle features by individual instances under crowded scenes. In this paper, we propose a bounding…

Computer Vision and Pattern Recognition · Computer Science 2025-05-27 Uyoung Jeong , Seungryul Baek , Hyung Jin Chang , Kwang In Kim

Training Deep Neural Networks (DNNs) can be computationally demanding, particularly when dealing with large models. Recent work has aimed to mitigate this computational challenge by introducing 8-bit floating-point (FP8) formats for…

Hardware Architecture · Computer Science 2024-09-27 Sami Ben Ali , Silviu-Ioan Filip , Olivier Sentieys

Iterative refinement -- start with a random guess, then iteratively improve the guess -- is a useful paradigm for representation learning because it offers a way to break symmetries among equally plausible explanations for the data. This…

Machine Learning · Computer Science 2023-01-03 Michael Chang , Thomas L. Griffiths , Sergey Levine

Given the importance of floating-point~(FP) performance in numerous domains, several new variants of FP and its alternatives have been proposed (e.g., Bfloat16, TensorFloat32, and Posits). These representations do not have correctly rounded…

Mathematical Software · Computer Science 2020-11-23 Jay P. Lim , Mridul Aanjaneya , John Gustafson , Santosh Nagarakatte

Low-precision formats have recently driven major breakthroughs in neural network (NN) training and inference by reducing the memory footprint of the NN models and improving the energy efficiency of the underlying hardware architectures.…

Hardware Architecture · Computer Science 2024-10-28 Luca Bertaccini , Gianna Paulin , Tim Fischer , Stefan Mach , Luca Benini