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The use of low-precision fixed-point arithmetic along with stochastic rounding has been proposed as a promising alternative to the commonly used 32-bit floating point arithmetic to enhance training neural networks training in terms of…

Machine Learning · Computer Science 2018-04-17 Marc Ortiz , Adrián Cristal , Eduard Ayguadé , Marc Casas

Deep Learning's outstanding track record across several domains has stemmed from the use of error backpropagation (BP). Several studies, however, have shown that it is impossible to execute BP in a real brain. Also, BP still serves as an…

Machine Learning · Computer Science 2021-06-11 Swaroop Mishra , Anjana Arunkumar

We investigate the expressive power of neural networks from the point of view of descriptive complexity. We study neural networks that use floating-point numbers and piecewise polynomial activation functions from two perspectives: 1) the…

Computational Complexity · Computer Science 2025-05-12 Veeti Ahvonen , Damian Heiman , Antti Kuusisto

This study presents an empirical investigation into the energy consumption of Discriminative and Generative AI models within real-world MLOps pipelines. For Discriminative models, we examine various architectures and hyperparameters during…

Machine Learning · Computer Science 2025-04-01 Adrián Sánchez-Mompó , Ioannis Mavromatis , Peizheng Li , Konstantinos Katsaros , Aftab Khan

This paper presents a novel {\em Interpolated Factored Green Function} method (IFGF) for the accelerated evaluation of the integral operators in scattering theory and other areas. Like existing acceleration methods in these fields, the IFGF…

Numerical Analysis · Mathematics 2021-02-24 Christoph Bauinger , Oscar P. Bruno

Algorithms have been estimated to increase AI training FLOP efficiency by a factor of 22,000 between 2012 and 2023 [Ho et al., 2024]. Running small-scale ablation experiments on key innovations from this time period, we are able to account…

Machine Learning · Computer Science 2025-11-27 Hans Gundlach , Alex Fogelson , Jayson Lynch , Ana Trisovic , Jonathan Rosenfeld , Anmol Sandhu , Neil Thompson

Conventional hardware-friendly quantization methods, such as fixed-point or integer, tend to perform poorly at very low word sizes as their shrinking dynamic ranges cannot adequately capture the wide data distributions commonly seen in…

Machine Learning · Computer Science 2020-02-12 Thierry Tambe , En-Yu Yang , Zishen Wan , Yuntian Deng , Vijay Janapa Reddi , Alexander Rush , David Brooks , Gu-Yeon Wei

Geometric predicates are at the core of many algorithms, such as the construction of Delaunay triangulations, mesh processing and spatial relation tests. These algorithms have applications in scientific computing, geographic information…

Numerical Analysis · Mathematics 2023-08-01 Tinko Bartels , Vissarion Fisikopoulos , Martin Weiser

Despite the remarkable performance, modern deep neural networks are inevitably accompanied by a significant amount of computational cost for learning and deployment, which may be incompatible with their usage on edge devices. Recent efforts…

Computer Vision and Pattern Recognition · Computer Science 2022-03-11 Seul-Ki Yeom , Kyung-Hwan Shim , Jee-Hyun Hwang

Morphing is a long-standing problem in vision and computer graphics, requiring a time-dependent warping for feature alignment and a blending for smooth interpolation. Recently, multilayer perceptrons (MLPs) have been explored as implicit…

Computer Vision and Pattern Recognition · Computer Science 2025-10-13 Arthur Bizzi , Matias Grynberg , Vitor Matias , Daniel Perazzo , João Paulo Lima , Luiz Velho , Nuno Gonçalves , João Pereira , Guilherme Schardong , Tiago Novello

Convolutional neural network (CNN) is one of the most widely-used successful architectures in the era of deep learning. However, the high-computational cost of CNN still hampers more universal uses to light devices. Fortunately, the Fourier…

Networking and Internet Architecture · Computer Science 2021-08-13 Xiaohan Zhu , Zhen Cui , Tong Zhang , Yong Li , Jian Yang

Convolutional neural networks (CNNs) have been used in many machine learning fields. In practical applications, the computational cost of convolutional neural networks is often high with the deepening of the network and the growth of data…

Computer Vision and Pattern Recognition · Computer Science 2021-07-08 Shiqing Fan , Liu Liying , Ye Luo

We consider layerwise function-space learning rates, which measure the magnitude of the change in a neural network's output function in response to an update to a parameter tensor. This contrasts with traditional learning rates, which…

Machine Learning · Statistics 2025-05-23 Edward Milsom , Ben Anson , Laurence Aitchison

The alpha complex, a subset of the Delaunay triangulation, has been extensively used as the underlying representation for biomolecular structures. We propose a GPU-based parallel algorithm for the computation of the alpha complex, which…

Computational Geometry · Computer Science 2020-04-03 Talha Bin Masood , Tathagata Ray , Vijay Natarajan

AI's exponential growth intensifies computational demands and energy challenges. While practitioners employ various optimization techniques, that we refer as "knobs" in this paper, to tune model efficiency, these are typically afterthoughts…

Software Engineering · Computer Science 2025-06-24 Saurabhsingh Rajput , Mootez Saad , Tushar Sharma

Convolutional neural networks (CNNs) are typically trained using 16- or 32-bit floating-point (FP) and researchers show that low-precision floating-point (FP) can be highly effective for inference. Low-precision FP can be implemented in…

Hardware Architecture · Computer Science 2021-03-02 James Garland , David Gregg

Traditionally, distributed machine learning takes the guise of (i) different nodes training the same model (as in federated learning), or (ii) one model being split among multiple nodes (as in distributed stochastic gradient descent). In…

Networking and Internet Architecture · Computer Science 2022-07-07 Francesco Malandrino , Carla Fabiana Chiasserini

Generative neural network is a new category of neural networks and it has been widely utilized in applications such as content generation, unsupervised learning, segmentation and pose estimation. It typically involves massive…

Machine Learning · Computer Science 2020-04-30 Dawen Xu , Ying Wang , Kaijie Tu , Cheng Liu , Bingsheng He , Lei Zhang

Graphics Processing Units (GPUs) are employed for a numerical determination of the analytic structure of two-point correlation functions of Quantum Field Theories. These functions are represented through integrals in d-dimensional Euclidean…

High Energy Physics - Phenomenology · Physics 2013-01-16 Andreas Windisch , Reinhard Alkofer , Gundolf Haase , Manfred Liebmann

In this paper, we first clarify the concepts of green AI versus frugal AI, positioning frugality as efficiency by design and green AI as transparency and accountability. We then argue that these approaches, while complementary, are…

Systems and Control · Electrical Eng. & Systems 2025-12-09 Farzaneh Pourahmadi , Olivier Corradi , Pierre Pinson