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Standard rank-revealing factorizations such as the singular value decomposition and column pivoted QR factorization are challenging to implement efficiently on a GPU. A major difficulty in this regard is the inability of standard algorithms…

Numerical Analysis · Mathematics 2023-05-23 Nathan Heavner , Chao Chen , Abinand Gopal , Per-Gunnar Martinsson

Training Large Language Models (LLMs) efficiently at scale presents a formidable challenge, driven by their ever-increasing computational demands and the need for enhanced performance. In this work, we introduce Liger-Kernel, an…

Machine Learning · Computer Science 2025-01-27 Pin-Lun Hsu , Yun Dai , Vignesh Kothapalli , Qingquan Song , Shao Tang , Siyu Zhu , Steven Shimizu , Shivam Sahni , Haowen Ning , Yanning Chen

Parameter-Efficient Fine-Tuning (PEFT) has become the standard for adapting large language models (LLMs). In this work we challenge the wide-spread assumption that parameter efficiency equates memory efficiency and on-device adaptability.…

Machine Learning · Computer Science 2026-04-28 Irene Tenison , Stella Ahn , Miriam Kim , Ebtisam Alshehri , Lalana Kagal

The advent of ultra-low-bit LLM models (1/1.58/2-bit), which match the perplexity and end-task performance of their full-precision counterparts using the same model size, is ushering in a new era of LLM inference for resource-constrained…

Artificial Intelligence · Computer Science 2026-01-27 Evangelos Georganas , Dhiraj Kalamkar , Alexander Heinecke

In this paper, first, a hardware-friendly pruning algorithm for reducing energy consumption and improving the speed of Long Short-Term Memory (LSTM) neural network accelerators is presented. Next, an FPGA-based platform for efficient…

Hardware Architecture · Computer Science 2021-01-08 Seyed Abolfazl Ghasemzadeh , Erfan Bank Tavakoli , Mehdi Kamal , Ali Afzali-Kusha , Massoud Pedram

Large matrix multiplication is a cornerstone of modern machine learning workloads, yet traditional approaches suffer from cubic computational complexity (e.g., $\mathcal{O}(n^3)$ for a matrix of size $n\times n$). We present Low-Rank GEMM,…

Performance · Computer Science 2025-11-25 Alfredo Metere

Large language models have been widely adopted across different tasks, but their auto-regressive generation nature often leads to inefficient resource utilization during inference. While batching is commonly used to increase throughput,…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-07-14 Pol G. Recasens , Ferran Agullo , Yue Zhu , Chen Wang , Eun Kyung Lee , Olivier Tardieu , Jordi Torres , Josep Ll. Berral

The energy consumption of large-scale ML models is dominated by data movement, shuffling billions of parameters across memory hierarchies and data centers. Sparsification offers a principled way to mitigate these costs by pruning redundant…

Current LLM structured pruning methods typically involve two steps: (1) compression with calibration data and (2) costly continued pretraining on billions of tokens to recover lost performance. This second step is necessary as the first…

Machine Learning · Computer Science 2024-12-31 Yaya Sy , Christophe Cerisara , Irina Illina

Deep neural networks are increasingly bottlenecked by the cost of optimization, both in terms of GPU memory and compute time. Existing acceleration techniques, such as mixed precision, second-order methods, and batch size scaling, are…

Machine Learning · Computer Science 2025-09-03 Mohsen Sheibanian , Pouya Shaeri , Alimohammad Beigi , Ryan T. Woo , Aryan Keluskar

To address the challenge of performance portability, and facilitate the implementation of electronic structure solvers, we developed the Basic Matrix Library (BML) and Parallel, Rapid O(N) and Graph-based Recursive Electronic Structure…

Existing pre-trained language models (PLMs) are often computationally expensive in inference, making them impractical in various resource-limited real-world applications. To address this issue, we propose a dynamic token reduction approach…

Computation and Language · Computer Science 2021-05-26 Deming Ye , Yankai Lin , Yufei Huang , Maosong Sun

As deep learning models continue to increase in size, the memory requirements for training have surged. While high-level techniques like offloading, recomputation, and compression can alleviate memory pressure, they also introduce…

Machine Learning · Computer Science 2023-10-31 Huiyao Shu , Ang Wang , Ziji Shi , Hanyu Zhao , Yong Li , Lu Lu

Architectures with multiple classes of memory media are becoming a common part of mainstream supercomputer deployments. So called multi-level memories offer differing characteristics for each memory component including variation in…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-04-04 Mehmet Deveci , Simon D. Hammond , Michael M. Wolf , Sivasankaran Rajamanickam

Deploying transformer-based neural networks on resource-constrained edge devices presents a significant challenge. This challenge is often addressed through various techniques, such as low-rank approximation and mixed-precision…

Machine Learning · Computer Science 2025-07-15 Ofir Gordon , Ariel Lapid , Elad Cohen , Yarden Yagil , Arnon Netzer , Hai Victor Habi

We introduce a reformulation of regularized low-rank recovery models to take advantage of GPU, multiple CPU, and hybridized architectures. Low-rank recovery often involves nuclear-norm minimization through iterative thresholding of singular…

Optimization and Control · Mathematics 2017-10-05 Derek Driggs , Stephen Becker , Aleksandr Aravkin

Conventional kernel-based machine learning models for ab initio potential energy surfaces, while accurate and convenient in small data regimes, suffer immense computational cost as training set sizes increase. We introduce QML-Lightning, a…

Chemical Physics · Physics 2022-12-21 Nicholas J. Browning , Felix A. Faber , O. Anatole von Lilienfeld

Multi-modal Large Language Models (MLLMs) serving systems commonly employ KV-cache compression to reduce memory footprint. However, existing compression methods introduce significant processing overhead and queuing delays, particularly in…

Multimedia · Computer Science 2025-03-12 Jianian Zhu , Hang Wu , Haojie Wang , Yinghui Li , Biao Hou , Ruixuan Li , Jidong Zhai

In this paper we generalize and extend an idea of low-rank adaptation (LoRA) of large language models (LLMs) based on Transformer architecture. Widely used LoRA-like methods of fine-tuning LLMs are based on matrix factorization of gradient…

Computation and Language · Computer Science 2024-02-06 Daniel Bershatsky , Daria Cherniuk , Talgat Daulbaev , Aleksandr Mikhalev , Ivan Oseledets

Objective: Model based deep learning (MBDL) has been challenging to apply to the reconstruction of 3D non-Cartesian MRI acquisitions due to extreme GPU memory demand (>250 GB using traditional backpropagation) primarily because the entire…

Medical Physics · Physics 2023-04-05 Zachary Miller , Ali Pirasteh , Kevin M. Johnson
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