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Many real-world regression problems demand a measure of the uncertainty associated with each prediction. Standard decision forests deliver efficient state-of-the-art predictive performance, but high-quality uncertainty estimates are…

Machine Learning · Statistics 2016-05-30 Balaji Lakshminarayanan , Daniel M. Roy , Yee Whye Teh

Reduced precision computation for deep neural networks is one of the key areas addressing the widening compute gap driven by an exponential growth in model size. In recent years, deep learning training has largely migrated to 16-bit…

Machine Learning · Computer Science 2019-05-30 Naveen Mellempudi , Sudarshan Srinivasan , Dipankar Das , Bharat Kaul

Deep neural networks have enabled progress in a wide variety of applications. Growing the size of the neural network typically results in improved accuracy. As model sizes grow, the memory and compute requirements for training these models…

Thanks to the computational power of modern cluster machines, numerical simulations can provide, with an unprecedented level of details, new insights into fluid mechanics. However, taking full advantage of this hardware remains challenging…

Fluid Dynamics · Physics 2022-09-14 F. Brogi , S. Bnà , G. Boga , G. Amati , T. Esposti Ongaro , M. Cerminara

The massive computational costs associated with large language model (LLM) pretraining have spurred great interest in reduced-precision floating-point representations to accelerate the process. As a result, the BrainFloat16 (BF16) precision…

Machine Learning · Computer Science 2025-03-26 Joonhyung Lee , Jeongin Bae , Byeongwook Kim , Se Jung Kwon , Dongsoo Lee

We establish the consistency of an algorithm of Mondrian Forests, a randomized classification algorithm that can be implemented online. First, we amend the original Mondrian Forest algorithm, that considers a fixed lifetime parameter.…

Machine Learning · Statistics 2017-11-09 Jaouad Mourtada , Stéphane Gaïffas , Erwan Scornet

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

Tree ensembles are powerful models that achieve excellent predictive performances, but can grow to unwieldy sizes. These ensembles are often post-processed (pruned) to reduce memory footprint and improve interpretability. We present…

Machine Learning · Statistics 2023-05-26 Brian Liu , Rahul Mazumder

Computing an optimal classification tree that provably maximizes training performance within a given size limit, is NP-hard, and in practice, most state-of-the-art methods do not scale beyond computing optimal trees of depth three.…

Machine Learning · Computer Science 2025-01-15 Catalin E. Brita , Jacobus G. M. van der Linden , Emir Demirović

This study tackles the challenge of efficiently classifying streaming data in envi-ronments with limited memory and computational resources. It delves into the application of data distillation as an innovative approach to improve the…

Computer Vision and Pattern Recognition · Computer Science 2025-09-10 Rwad Khatib , Yehudit Aperstein

Machine learning software accounts for a significant amount of energy consumed in data centers. These algorithms are usually optimized towards predictive performance, i.e. accuracy, and scalability. This is the case of data stream mining…

Machine Learning · Computer Science 2018-08-06 Eva García-Martín , Niklas Lavesson , Håkan Grahn , Emiliano Casalicchio , Veselka Boeva

Random Forests (RF) are among the state-of-the-art in many machine learning applications. With the ongoing integration of ML models into everyday life, the deployment and continuous application of models becomes more and more an important…

Machine Learning · Computer Science 2021-10-20 Sebastian Buschjäger , Katharina Morik

We propose a computationally efficient algorithm for gradient-based linear dimension reduction and high-dimensional regression. The algorithm initially computes a Mondrian forest and uses this estimator to identify a relevant feature…

Statistics Theory · Mathematics 2024-07-16 Ricardo Baptista , Eliza O'Reilly , Yangxinyu Xie

We describe algorithms and data structures to extend a neural network library with automatic precision estimation for floating point computations. We also discuss conditions to make estimations exact and preserve high computation…

Data Structures and Algorithms · Computer Science 2025-09-30 Igor V. Netay

The state-of-the-art hardware platforms for training Deep Neural Networks (DNNs) are moving from traditional single precision (32-bit) computations towards 16 bits of precision -- in large part due to the high energy efficiency and smaller…

Machine Learning · Computer Science 2018-12-20 Naigang Wang , Jungwook Choi , Daniel Brand , Chia-Yu Chen , Kailash Gopalakrishnan

Machine Learning (ML) algorithms, like Convolutional Neural Networks (CNN), Support Vector Machines (SVM), etc. have become widespread and can achieve high statistical performance. However their accuracy decreases significantly in…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-04-12 Zafar Takhirov , Joseph Wang , Marcia S. Louis , Venkatesh Saligrama , Ajay Joshi

This work studies the statistical implications of using features comprised of general linear combinations of covariates to partition the data in randomized decision tree and forest regression algorithms. Using random tessellation theory in…

Statistics Theory · Mathematics 2025-11-05 Eliza O'Reilly

Modern CNN are typically based on floating point linear algebra based implementations. Recently, reduced precision NN have been gaining popularity as they require significantly less memory and computational resources compared to floating…

Computer Vision and Pattern Recognition · Computer Science 2018-07-30 Jiang Su , Nicholas J. Fraser , Giulio Gambardella , Michaela Blott , Gianluca Durelli , David B. Thomas , Philip Leong , Peter Y. K. Cheung

Low precision data representation is important to reduce storage size and memory access for convolutional neural networks (CNNs). Yet, existing methods have two major limitations: (1) requiring re-training to maintain accuracy for deep…

Signal Processing · Electrical Eng. & Systems 2020-03-10 Chen Wu , Mingyu Wang , Xinyuan Chu , Kun Wang , Lei He

Deep neural networks are gaining in popularity as they are used to generate state-of-the-art results for a variety of computer vision and machine learning applications. At the same time, these networks have grown in depth and complexity in…

Neural and Evolutionary Computing · Computer Science 2016-12-14 Soheil Hashemi , Nicholas Anthony , Hokchhay Tann , R. Iris Bahar , Sherief Reda