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Quantizing the activation, weight, and gradient to 4-bit is promising to accelerate neural network training. However, existing 4-bit training methods require custom numerical formats which are not supported by contemporary hardware. In this…

Machine Learning · Computer Science 2023-06-26 Haocheng Xi , Changhao Li , Jianfei Chen , Jun Zhu

The ever-increasing computational complexity of deep learning models makes their training and deployment difficult on various cloud and edge platforms. Replacing floating-point arithmetic with low-bit integer arithmetic is a promising…

Machine Learning · Computer Science 2023-01-05 Alireza Ghaffari , Marzieh S. Tahaei , Mohammadreza Tayaranian , Masoud Asgharian , Vahid Partovi Nia

Integer AI inference significantly reduces computational complexity in embedded systems. Quantization-aware training (QAT) helps mitigate accuracy degradation associated with post-training quantization but still overlooks the impact of…

Machine Learning · Computer Science 2025-10-14 Lion Mueller , Alberto Garcia-Ortiz , Ardalan Najafi , Adam Fuks , Lennart Bamberg

Diffusion models have demonstrated significant applications in the field of image generation. However, their high computational and memory costs pose challenges for deployment. Model quantization has emerged as a promising solution to…

Computer Vision and Pattern Recognition · Computer Science 2025-12-17 Shizhuo Mao , Hongtao Zou , Qihu Xie , Song Chen , Yi Kang

Quantized training of Large Language Models (LLMs) remains an open challenge, as maintaining accuracy while performing all matrix multiplications in low precision has proven difficult. This is particularly the case when fine-tuning…

Machine Learning · Computer Science 2025-11-06 Saleh Ashkboos , Mahdi Nikdan , Soroush Tabesh , Roberto L. Castro , Torsten Hoefler , Dan Alistarh

It has become increasingly important to optimize backpropagation to reduce memory usage and computational overhead. Achieving this goal is highly challenging, as multiple objectives must be considered jointly while maintaining training…

Machine Learning · Computer Science 2025-03-28 Seonggon Kim , Juncheol Shin , Seung-taek Woo , Eunhyeok Park

Large language models (LLMs) have become pivotal in artificial intelligence, demonstrating strong capabilities in reasoning, understanding, and generating data. However, their deployment on edge devices is hindered by their substantial…

Machine Learning · Computer Science 2025-05-14 Lucas Maisonnave , Cyril Moineau , Olivier Bichler , Fabrice Rastello

Implicit Neural Representations (INRs) encode discrete signals using Multi-Layer Perceptrons (MLPs) with complex activation functions. While INRs achieve superior performance, they depend on full-precision number representation for accurate…

Computer Vision and Pattern Recognition · Computer Science 2025-08-20 Wenyong Zhou , Jiachen Ren , Taiqiang Wu , Yuxin Cheng , Zhengwu Liu , Ngai Wong

With the rapid increase in model size and the growing importance of various fine-tuning applications, lightweight training has become crucial. Since the backward pass is twice as expensive as the forward pass, optimizing backpropagation is…

Computer Vision and Pattern Recognition · Computer Science 2024-06-24 Seonggon Kim , Eunhyeok Park

Large language models require massive memory footprints, severely limiting deployment on consumer hardware. Quantization reduces memory through lower numerical precision, but extreme 2-bit quantization suffers from catastrophic performance…

Machine Learning · Computer Science 2026-02-12 Bingxin Xu , Zhen Dong , Oussama Elachqar , Yuzhang Shang

Matrix multiplication (MatMul) is the computational backbone of modern machine learning, yet its classical complexity remains a bottleneck for large-scale data processing. We propose a hybrid quantum-classical algorithm for matrix…

Quantum Physics · Physics 2026-04-15 Wladimir Silva

Vector quantization via random projection followed by scalar quantization is a fundamental primitive in machine learning, with applications ranging from similarity search to federated learning and KV cache compression. While dense random…

Machine Learning · Computer Science 2026-05-14 Ying Feng , Piotr Indyk , Michael Kapralov , Dmitry Krachun , Boris Prokhorov

Pre-trained Transformer models such as BERT have shown great success in a wide range of applications, but at the cost of substantial increases in model complexity. Quantization-aware training (QAT) is a promising method to lower the…

Computation and Language · Computer Science 2023-02-24 Minsoo Kim , Kyuhong Shim , Seongmin Park , Wonyong Sung , Jungwook Choi

Post-training quantization (PTQ) is essential for deploying LLMs under memory and bandwidth constraints. However, extreme low-bit quantization remains highly sensitive to activation outliers and anisotropic weight curvature. Existing…

Machine Learning · Computer Science 2026-05-29 Artur Zagitov , Gleb Molodtsov , Aleksandr Beznosikov

Deep learning models in recommender systems are usually trained in the batch mode, namely iteratively trained on a fixed-size window of training data. Such batch mode training of deep learning models suffers from low training efficiency,…

Information Retrieval · Computer Science 2020-09-07 Yichao Wang , Huifeng Guo , Ruiming Tang , Zhirong Liu , Xiuqiang He

Hadamard transforms have become a key tool for stabilizing low-precision training, but existing methods apply them uniformly across tensors and computation paths. We show that this one-size-fits-all strategy is inherently limited: Hadamard…

Machine Learning · Computer Science 2026-05-11 Seonggon Kim , Alireza Khodamoradi , Pranathi Vasireddy , Kristof Denolf , Eunhyeok Park

While advancements in quantization have significantly reduced the computational costs of inference in deep learning, training still predominantly relies on complex floating-point arithmetic. Low-precision fixed-point training presents a…

Machine Learning · Computer Science 2025-10-21 Hassan Hamad , Yuou Qiu , Peter A. Beerel , Keith M. Chugg

Fully quantized training (FQT), which uses low-bitwidth hardware by quantizing the activations, weights, and gradients of a neural network model, is a promising approach to accelerate the training of deep neural networks. One major…

Machine Learning · Computer Science 2020-10-28 Jianfei Chen , Yu Gai , Zhewei Yao , Michael W. Mahoney , Joseph E. Gonzalez

The deployment of deep neural networks on resource-constrained devices relies on quantization. While static, uniform quantization applies a fixed bit-width to all inputs, it fails to adapt to their varying complexity. Dynamic,…

Machine Learning · Computer Science 2026-03-24 Hazem Hesham Yousef Shalby , Fabrizio Pittorino , Francesca Palermo , Diana Trojaniello , Manuel Roveri

While integer arithmetic has been widely adopted for improved performance in deep quantized neural network inference, training remains a task primarily executed using floating point arithmetic. This is because both high dynamic range and…

Computer Vision and Pattern Recognition · Computer Science 2022-02-14 Maolin Wang , Seyedramin Rasoulinezhad , Philip H. W. Leong , Hayden K. H. So
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