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Deep neural networks have enabled progress in a wide variety of applications. Growing the size of the neural network typically results in improved accuracy. As model sizes grow, the memory and compute requirements for training these models…

With the increasing size of Deep Neural Network (DNN) models, the high memory space requirements and computational complexity have become an obstacle for efficient DNN implementations. To ease this problem, using reduced-precision…

Machine Learning · Computer Science 2019-09-10 Jinming Lu , Siyuan Lu , Zhisheng Wang , Chao Fang , Jun Lin , Zhongfeng Wang , Li Du

For most deep learning algorithms training is notoriously time consuming. Since most of the computation in training neural networks is typically spent on floating point multiplications, we investigate an approach to training that eliminates…

Machine Learning · Computer Science 2016-02-29 Zhouhan Lin , Matthieu Courbariaux , Roland Memisevic , Yoshua Bengio

Integer-arithmetic-only networks have been demonstrated effective to reduce computational cost and to ensure cross-platform consistency. However, previous works usually report a decline in the inference accuracy when converting well-trained…

Computer Vision and Pattern Recognition · Computer Science 2020-06-23 Hengrui Zhao , Dong Liu , Houqiang Li

Deep neural network (DNN) quantization converting floating-point (FP) data in the network to integers (INT) is an effective way to shrink the model size for memory saving and simplify the operations for compute acceleration. Recently,…

Machine Learning · Computer Science 2020-01-01 Yukuan Yang , Shuang Wu , Lei Deng , Tianyi Yan , Yuan Xie , Guoqi Li

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

Semantic segmentation has been a major topic in research and industry in recent years. However, due to the computation complexity of pixel-wise prediction and backpropagation algorithm, semantic segmentation has been demanding in…

Computer Vision and Pattern Recognition · Computer Science 2020-12-01 Jiayi Yang , Lei Deng , Yukuan Yang , Yuan Xie , Guoqi Li

Implicit Neural Representations (INRs) parameterize continuous signals via multilayer perceptrons (MLPs), enabling compact, resolution-independent modeling for tasks like image, audio, and 3D reconstruction. However, fitting high-resolution…

Machine Learning · Computer Science 2026-02-26 Chen Zhang , Wei Zuo , Bingyang Cheng , Yikun Wang , Wei-Bin Kou , Yik Chung WU , Ngai Wong

Implicit Neural Representation (INR) is an innovative approach for representing complex shapes or objects without explicitly defining their geometry or surface structure. Instead, INR represents objects as continuous functions. Previous…

Computer Vision and Pattern Recognition · Computer Science 2024-04-25 Hanqiu Chen , Hang Yang , Stephen Fitzmeyer , Cong Hao

In this paper, we investigate a neural network-based learning approach towards solving an integer-constrained programming problem using very limited training. To be specific, we introduce a symmetric and decomposed neural network structure,…

Machine Learning · Computer Science 2020-11-30 Zhou Zhou , Shashank Jere , Lizhong Zheng , Lingjia Liu

The intrinsic error tolerance of neural network (NN) makes approximate computing a promising technique to improve the energy efficiency of NN inference. Conventional approximate computing focuses on balancing the efficiency-accuracy…

Machine Learning · Computer Science 2018-05-23 Xin He , Liu Ke , Wenyan Lu , Guihai Yan , Xuan Zhang

Backpropagation has been the cornerstone of neural network training for decades, yet its inefficiencies in time and energy consumption limit its suitability for resource-constrained edge devices. While low-precision neural network…

Machine Learning · Computer Science 2025-07-01 Jingxiao Ma , Priyadarshini Panda , Sherief Reda

Training neural networks (NNs) using combinatorial optimization solvers has gained attention in recent years. In low-data settings, state-of-the-art mixed integer linear programming solvers can train exactly a NN, avoiding intensive…

Optimization and Control · Mathematics 2024-09-12 Ambrogio Maria Bernardelli , Stefano Gualandi , Hoong Chuin Lau , Simone Milanesi , Neil Yorke-Smith

Representing visual signals by coordinate-based deep fully-connected networks has been shown advantageous in fitting complex details and solving inverse problems than discrete grid-based representation. However, acquiring such a continuous…

Computer Vision and Pattern Recognition · Computer Science 2022-07-11 Peihao Wang , Zhiwen Fan , Tianlong Chen , Zhangyang Wang

Neural network quantization is a promising compression technique to reduce memory footprint and save energy consumption, potentially leading to real-time inference. However, there is a performance gap between quantized and full-precision…

Computer Vision and Pattern Recognition · Computer Science 2022-02-11 Qing Jin , Jian Ren , Richard Zhuang , Sumant Hanumante , Zhengang Li , Zhiyu Chen , Yanzhi Wang , Kaiyuan Yang , Sergey Tulyakov

Deep Neural Networks are successful but highly computationally expensive learning systems. One of the main sources of time and energy drains is the well known backpropagation (backprop) algorithm, which roughly accounts for 2/3 of the…

Machine Learning · Computer Science 2020-04-17 Simon Wiedemann , Temesgen Mehari , Kevin Kepp , Wojciech Samek

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

Deep learning as a means to inferencing has proliferated thanks to its versatility and ability to approach or exceed human-level accuracy. These computational models have seemingly insatiable appetites for computational resources not only…

Recently low-bit (e.g., 8-bit) network quantization has been extensively studied to accelerate the inference. Besides inference, low-bit training with quantized gradients can further bring more considerable acceleration, since the backward…

Machine Learning · Computer Science 2020-01-01 Feng Zhu , Ruihao Gong , Fengwei Yu , Xianglong Liu , Yanfei Wang , Zhelong Li , Xiuqi Yang , Junjie Yan

Integer quantization of neural networks can be defined as the approximation of the high precision computation of the canonical neural network formulation, using reduced integer precision. It plays a significant role in the efficient…

Machine Learning · Computer Science 2021-01-15 Jian Li , Raziel Alvarez