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The inference and training stages of Graph Neural Networks (GNNs) are often dominated by the time required to compute a long sequence of matrix multiplications between the sparse graph adjacency matrix and its embedding. To accelerate these…

Data Structures and Algorithms · Computer Science 2024-09-05 João N. F. Alves , Samir Moustafa , Siegfried Benkner , Alexandre P. Francisco , Wilfried N. Gansterer , Luís M. S. Russo

While transformer models have been highly successful, they are computationally inefficient. We observe that for each layer, the full width of the layer may be needed only for a small subset of tokens inside a batch and that the "effective"…

Machine Learning · Computer Science 2024-12-19 Bartosz Wójcik , Alessio Devoto , Karol Pustelnik , Pasquale Minervini , Simone Scardapane

LLM pre-training efficacy increasingly depends on data composition rather than sheer volume. Yet, optimal mixing is hindered by categorization flaws: human taxonomies suffer from ontological misalignment, and Euclidean clustering fails to…

Machine Learning · Computer Science 2026-05-27 Yue Min , Ziyun Qiao , Ruining Chen , Yujun Li

This paper addresses emulation algorithms for matrix multiplication. General Matrix-Matrix Multiplication (GEMM), a fundamental operation in the Basic Linear Algebra Subprograms (BLAS), is typically optimized for specific hardware…

Mathematical Software · Computer Science 2025-04-29 Katsuhisa Ozaki , Yuki Uchino , Toshiyuki Imamura

The recent emergence of deep learning has led to a great deal of work on designing supervised deep semantic segmentation algorithms. As in many tasks sufficient pixel-level labels are very difficult to obtain, we propose a method which…

Computer Vision and Pattern Recognition · Computer Science 2024-04-19 Matthias Schwab , Agnes Mayr , Markus Haltmeier

State-of-the-art differentially private synthetic tabular data has been defined by adaptive 'select-measure-generate' frameworks, exemplified by methods like AIM. These approaches iteratively measure low-order noisy marginals and fit…

Machine Learning · Computer Science 2025-11-14 Samuel Maddock , Shripad Gade , Graham Cormode , Will Bullock

This paper lays out insights and opportunities for implementing higher-precision matrix-matrix multiplication (GEMM) from (in terms of) lower-precision high-performance GEMM. The driving case study approximates double-double precision…

Mathematical Software · Computer Science 2024-12-31 Devangi N. Parikh , Robert A. van de Geijn , Greg M. Henry

Deep learning frameworks commonly implement convolution operators with GEMM-based algorithms. In these algorithms, convolution is implemented on top of matrix-matrix multiplication (GEMM) functions, provided by highly optimized BLAS…

Computer Vision and Pattern Recognition · Computer Science 2019-07-05 Marat Dukhan

Sparse data structures are commonly used in neural networks to reduce the memory footprint. These data structures are compact but cause irregularities such as random memory accesses, which prevent efficient use of the memory hierarchy. GPUs…

Programming Languages · Computer Science 2025-06-19 Hossein Albakri , Kazem Cheshmi

Massive MIMO systems are typically designed assuming linear power amplifiers (PAs). However, PAs are most energy efficient close to saturation, where non-linear distortion arises. For conventional precoders, this distortion can coherently…

Information Theory · Computer Science 2023-12-11 Thomas Feys , Liesbet Van der Perre , François Rottenberg

In this paper we develop the Greedy Recombination Interpolation Method (GRIM) for finding sparse approximations of functions initially given as linear combinations of some (large) number of simpler functions. In a similar spirit to the…

Numerical Analysis · Mathematics 2024-03-11 Terry Lyons , Andrew D. McLeod

Parameter-efficient fine-tuning (PEFT) has become a popular way to adapt large pre-trained models to new tasks. Most PEFT methods update only a small subset of parameters while freezing the rest, avoiding redundant computation. As they…

Machine Learning · Computer Science 2025-08-25 Sungmin Kang , Jisoo Kim , Salman Avestimehr , Sunwoo Lee

General Matrix Multiplication (GEMM) is a ubiquitous compute kernel in deep learning (DL). To support energy-efficient edge-native processing, new GEMM hardware units have been proposed that operate on unary encoded bitstreams using much…

Hardware Architecture · Computer Science 2024-12-25 Prabhu Vellaisamy , Harideep Nair , Joseph Finn , Manav Trivedi , Albert Chen , Anna Li , Tsung-Han Lin , Perry Wang , Shawn Blanton , John Paul Shen

High performance dense linear algebra (DLA) libraries often rely on a general matrix multiply (Gemm) kernel that is implemented using assembly or with vector intrinsics. In particular, the real-valued Gemm kernels provide the overwhelming…

Mathematical Software · Computer Science 2017-05-01 Richard Michael Veras , Tze Meng Low , Tyler Michael Smith , Robert van de Geijn , Franz Franchetti

Over the last decade, a number of Computational Imaging (CI) systems have been proposed for tasks such as motion deblurring, defocus deblurring and multispectral imaging. These techniques increase the amount of light reaching the sensor via…

Computer Vision and Pattern Recognition · Computer Science 2014-03-14 Kaushik Mitra , Oliver Cossairt , Ashok Veeraraghavan

Recent advances in deep learning (DL) have led to a shift from traditional 64-bit floating point (FP64) computations toward reduced-precision formats, such as FP16, BF16, and 8- or 16-bit integers, combined with mixed-precision arithmetic.…

Computation and Language · Computer Science 2025-06-16 Héctor Martínez , Adrián Castelló , Francisco D. Igual , Enrique S. Quintana-Ortí

While graph-based dynamic programming (DP) is a cornerstone of genomics and network analytics, its efficiency is hampered by fundamentally conflicting computational patterns. Matrix-centric DP drives regular, compute-bound network…

Hardware Architecture · Computer Science 2026-04-20 Yanru Chen , Runyang Tian , Zheyu Li , Mahbod Afarin , Weihong Xu , Tajana Rosing

Bit matrix compression is a highly relevant operation in computer arithmetic. Essentially being a multi-operand addition, it is the key operation behind fast multiplication and many higher-level operations such as multiply-accumulate, the…

Hardware Architecture · Computer Science 2018-06-22 Thomas B. Preußer

Genome-Scale Metabolic Models (GEMs) describe the interactions between genes, proteins, and the biochemical reactions that underpin an organism's metabolism aiming to computationally simulate functions at the cellular level. While many…

Hierarchical Matrix (H-matrix) is an approximation technique which splits a target dense matrix into multiple submatrices, and where a selected portion of submatrices are low-rank approximated. The technique substantially reduces both time…

Mathematical Software · Computer Science 2019-11-04 Rise Ooi , Takeshi Iwashita , Takeshi Fukaya , Akihiro Ida , Rio Yokota