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Hardware trends have motivated the development of mixed precision algo-rithms in numerical linear algebra, which aim to decrease runtime while maintaining acceptable accuracy. One recent development is the development of an adaptive…

Numerical Analysis · Mathematics 2023-07-11 Noaman Khan , Erin Carson

Mixed-precision computations are a hallmark of the current stage of AI, driving the progress in large language models towards efficient, locally deployable solutions. This article addresses the floating-point computation of…

Machine Learning · Computer Science 2026-05-08 Stanislav Budzinskiy , Marian Gloser , Tolunay Yilmaz , Ying Hong Tham , Yuanyi Lin , Wenyi Fang , Fan Wu , Philipp Petersen

Large language models (LLMs) frequently achieve impressive scores on standardized benchmarks, yet accuracy alone offers a limited view of their capabilities. Evaluating open-source LLMs through leaderboards faces persistent issues like data…

Autonomous robots require efficient on-device learning to adapt to new environments without cloud dependency. For this edge training, Microscaling (MX) data types offer a promising solution by combining integer and floating-point…

Hardware Architecture · Computer Science 2025-12-16 Stef Cuyckens , Xiaoling Yi , Nitish Satya Murthy , Chao Fang , Marian Verhelst

This paper considers how to fuse Machine Learning (ML) and optimization to solve large-scale Supply Chain Planning (SCP) optimization problems. These problems can be formulated as MIP models which feature both integer (non-binary) and…

Machine Learning · Computer Science 2025-04-11 Vahid Eghbal Akhlaghi , Reza Zandehshahvar , Pascal Van Hentenryck

Specialized function gradient computing hardware could greatly improve the performance of state-of-the-art optimization algorithms, e.g., based on gradient descent or conjugate gradient methods that are at the core of control, machine…

Recent breakthroughs in Large-scale language models (LLMs) have demonstrated impressive performance on various tasks. The immense sizes of LLMs have led to very high resource demand and cost for running the models. Though the models are…

Machine Learning · Computer Science 2024-03-05 Juntao Zhao , Borui Wan , Yanghua Peng , Haibin Lin , Chuan Wu

Modern graphics computing units (GPUs) are designed and optimized to perform highly parallel numerical calculations. This parallelism has enabled (and promises) significant advantages, both in terms of energy performance and calculation. In…

Hardware Architecture · Computer Science 2021-10-26 Quentin Gallouédec

Lowering the numerical precision of model parameters and computations is widely adopted to improve the efficiency of retrieval systems. However, when computing relevance scores between the query and documents in low-precision, we observe…

Information Retrieval · Computer Science 2026-04-14 Kisu Yang , Yoonna Jang , Hwanseok Jang , Kenneth Choi , Isabelle Augenstein , Heuiseok Lim

The Preconditioned Conjugate Gradient method is often employed for the solution of linear systems of equations arising in numerical simulations of physical phenomena. While being widely used, the solver is also known for its lack of…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-05-18 Roman Iakymchuk , Maria Barreda , Stef Graillat , Jose I. Aliaga , Enrique S. Quintana-Orti

Network calibration aims to accurately estimate the level of confidences, which is particularly important for employing deep neural networks in real-world systems. Recent approaches leverage mixup to calibrate the network's predictions…

Computer Vision and Pattern Recognition · Computer Science 2023-08-24 Jongyoun Noh , Hyekang Park , Junghyup Lee , Bumsub Ham

Large Language Models (LLMs) have recently been applied to reranking tasks in information retrieval, achieving strong performance. However, their high computational demands often hinder practical deployment. Existing studies evaluate the…

Computation and Language · Computer Science 2025-10-10 Zhiyuan Peng , Ting-ruen Wei , Tingyu Song , Yilun Zhao

Machine learning (ML) needs industry-standard performance benchmarks to support design and competitive evaluation of the many emerging software and hardware solutions for ML. But ML training presents three unique benchmarking challenges…

This paper introduces the Stable Matching Based Pairing (SMBP) algorithm, a high-performance external validity index for clustering evaluation in large-scale datasets with a large number of clusters. SMBP leverages the stable matching…

Data Structures and Algorithms · Computer Science 2024-09-24 Mohammad Yasin Karbasian , Ramin Javadi

Hyperparameter tuning of multi-stage pipelines introduces a significant computational burden. Motivated by the observation that work can be reused across pipelines if the intermediate computations are the same, we propose a pipeline-aware…

Machine Learning · Computer Science 2019-03-14 Liam Li , Evan Sparks , Kevin Jamieson , Ameet Talwalkar

As we push the boundaries of performance in various vision tasks, the models grow in size correspondingly. To keep up with this growth, we need very aggressive pruning techniques for efficient inference and deployment on edge devices.…

Computer Vision and Pattern Recognition · Computer Science 2024-06-19 Xinglong Sun , Barath Lakshmanan , Maying Shen , Shiyi Lan , Jingde Chen , Jose Alvarez

Linear solvers are major computational bottlenecks in a wide range of decision support and optimization computations. The challenges become even more pronounced on heterogeneous hardware, where traditional sparse numerical linear algebra…

Computational Engineering, Finance, and Science · Computer Science 2024-01-26 Kasia Świrydowicz , Nicholson Koukpaizan , Maksudul Alam , Shaked Regev , Michael Saunders , Slaven Peleš

This study presents a novel mixed-precision iterative refinement algorithm, GADI-IR, within the general alternating-direction implicit (GADI) framework, designed for efficiently solving large-scale sparse linear systems. By employing…

Numerical Analysis · Mathematics 2025-03-24 Jifeng Ge , Juan Zhang

Matrix completion is a class of machine learning methods that concerns the prediction of missing entries in a partially observed matrix. This paper studies matrix completion for mixed data, i.e., data involving mixed types of variables…

Machine Learning · Statistics 2022-11-18 Yunxiao Chen , Xiaoou Li

We consider a discrete optimization formulation for learning sparse classifiers, where the outcome depends upon a linear combination of a small subset of features. Recent work has shown that mixed integer programming (MIP) can be used to…

Machine Learning · Statistics 2021-06-08 Antoine Dedieu , Hussein Hazimeh , Rahul Mazumder
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