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Transformer-based models, such as BERT, have been widely applied in a wide range of natural language processing tasks. However, one inevitable side effect is that they require massive memory storage and inference cost when deployed in…

Artificial Intelligence · Computer Science 2023-12-13 Jianwei Li , Tianchi Zhang , Ian En-Hsu Yen , Dongkuan Xu

Many scientific computations need multi-node parallelism for matching up both space (memory) and time (speed) ever-increasing requirements. The use of GPUs as accelerators introduces yet another level of complexity for the programmer and…

As large language models have grown larger, interest has grown in low-precision numerical formats such as NVFP4 as a way to improve speed and reduce memory usage. However, quantizing models to NVFP4 remains challenging as the lack of…

Computation and Language · Computer Science 2026-05-12 Jack Cook , Junxian Guo , Guangxuan Xiao , Yujun Lin , Keith Wyss , Mahdi Nazemi , Asit Mishra , Carlo del Mundo , Tijmen Blankevoort , Song Han

Modern AI systems rely on vector embeddings stored and searched using floating-point arithmetic. While effective for approximate similarity search, this design introduces fundamental non-determinism: identical models, inputs, and code can…

Machine Learning · Computer Science 2025-12-30 Varshith Gudur

Transformers are central to advances in artificial intelligence (AI), excelling in fields ranging from computer vision to natural language processing. Despite their success, their large parameter count and computational demands challenge…

Hardware Architecture · Computer Science 2025-03-10 Qunyou Liu , Marina Zapater , David Atienza

We present a new library for parallel distributed Fast Fourier Transforms (FFT). The importance of FFT in science and engineering and the advances in high performance computing necessitate further improvements. AccFFT extends existing FFT…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-05-27 Amir Gholami , Judith Hill , Dhairya Malhotra , George Biros

Bitmap index is recognized as a promising candidate for online analytics processing systems, because it effectively supports not only parallel processing but also complex and multi-dimensional queries. However, bitmap index creation is a…

Hardware Architecture · Computer Science 2018-04-24 Xuan-Thuan Nguyen , Trong-Thuc Hoang , Hong-Thu Nguyen , Katsumi Inoue , Cong-Kha Pham

The recent hardware-accelerated microscaling 4-bit floating-point formats such as MXFP4 and NVFP4, supported on NVIDIA and AMD GPUs, promise to revolutionize large language model (LLM) inference. Yet, their practical benefits remain…

Retrieval-Augmented Generation enhances language models by retrieving relevant information from external knowledge bases, relying on high-dimensional vector embeddings typically stored in float32 precision. However, storing these embeddings…

Transformers are at the core of modern AI nowadays. They rely heavily on matrix multiplication and require efficient acceleration due to their substantial memory and computational requirements. Quantization plays a vital role in reducing…

Hardware Architecture · Computer Science 2026-04-03 Ahmed J. Abdelmaksoud , Cristian Sestito , Shiwei Wang , Themis Prodromakis

Basic Linear Algebra Subprograms (BLAS) and Linear Algebra Package (LAPACK) form basic building blocks for several High Performance Computing (HPC) applications and hence dictate performance of the HPC applications. Performance in such…

Hardware Architecture · Computer Science 2017-11-15 Farhad Merchant , Anupam Chattopadhyay , Soumyendu Raha , S K Nandy , Ranjani Narayan

Quantum low-density parity-check (qLDPC) codes are a promising construction for drastically reducing the overhead of fault-tolerant quantum computing (FTQC) architectures. However, all of the known hardware implementations of these codes…

We consider the prospect of a processor that can perform interval arithmetic at the same speed as conventional floating-point arithmetic. This makes it possible for all arithmetic to be performed with the superior security of interval…

Numerical Analysis · Mathematics 2025-10-20 M. H. van Emden

The Fast Fourier Transform (FFT), as a core computation in a wide range of scientific applications, is increasingly threatened by reliability issues. In this paper, we introduce TurboFFT, a high-performance FFT implementation equipped with…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-05-07 Shixun Wu , Yujia Zhai , Jinyang Liu , Jiajun Huang , Zizhe Jian , Huangliang Dai , Sheng Di , Zizhong Chen , Franck Cappello

Biased-noise qubits, in which one type of error (e.g. $X$- and $Y$-type errors) is significantly suppressed relative to the other (e.g. $Z$-type errors), can significantly reduce the overhead of quantum error correction. Codes such as the…

Quantum Physics · Physics 2026-01-19 Peter Shanahan , Diego Ruiz

Multiplication is a core operation in modern neural network (NN) computations, contributing significantly to energy consumption. The linear-complexity multiplication (L-Mul) algorithm is specifically proposed as an approximate…

Hardware Architecture · Computer Science 2024-12-30 Ruiqi Chen , Yangxintong Lyu , Han Bao , Bruno da Silva

By supporting the access of multiple memory words at the same time, Bit-line Computing (BC) architectures allow the parallel execution of bit-wise operations in-memory. At the array periphery, arithmetic operations are then derived with…

Hardware Architecture · Computer Science 2022-09-14 Marco Rios , Flavio Ponzina , Alexandre Levisse , Giovanni Ansaloni , David Atienza

Specialized edge accelerators rely on low-bit quantization, but vendor compilers differ in scaling, clipping, and kernel support, often as black boxes. The same floating-point (FP) checkpoint can therefore yield inconsistent accuracy across…

Machine Learning · Computer Science 2025-11-21 Rayen Dhahri , Steffen Urban

Mixture of Experts (MoEs) have become a central component of many state-of-the-art open-source and proprietary large language models. Despite their widespread adoption, it remains unclear how close existing MoE architectures are to optimal…

Post-training quantization (PTQ) is essential for deploying large diffusion transformers on resource-constrained hardware, but aggressive 4-bit quantization significantly degrades generative performance. Low-rank approximation methods have…

Machine Learning · Computer Science 2026-04-21 Yann Bouquet , Alireza Khodamoradi , Sophie Yáng Shen , Kristof Denolf , Mathieu Salzmann