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Neural network quantization enables the deployment of large models on resource-constrained devices. Current post-training quantization methods fall short in terms of accuracy for INT4 (or lower) but provide reasonable accuracy for INT8 (or…

In this paper, we study the iteration complexity of cubic regularization of Newton method for solving composite minimization problems with uniformly convex objective. We introduce the notion of second-order condition number of a certain…

最优化与控制 · 数学 2021-05-21 Nikita Doikov , Yurii Nesterov

Classical analysis of convex and non-convex optimization methods often requires the Lipshitzness of the gradient, which limits the analysis to functions bounded by quadratics. Recent work relaxed this requirement to a non-uniform smoothness…

最优化与控制 · 数学 2023-11-06 Haochuan Li , Jian Qian , Yi Tian , Alexander Rakhlin , Ali Jadbabaie

Quantizing deep neural networks is an effective method for reducing memory consumption and improving inference speed, and is thus useful for implementation in resource-constrained devices. However, it is still hard for extremely low-bit…

计算机视觉与模式识别 · 计算机科学 2021-11-03 Kohei Yamamoto

Low-rank modeling has many important applications in computer vision and machine learning. While the matrix rank is often approximated by the convex nuclear norm, the use of nonconvex low-rank regularizers has demonstrated better empirical…

机器学习 · 计算机科学 2018-07-25 Quanming Yao , James T. Kwok , Taifeng Wang , Tie-Yan Liu

Quantization is a key method for deploying deep neural networks on edge devices with limited memory and computation resources. Recent improvements in Post-Training Quantization (PTQ) methods were achieved by an additional local optimization…

计算机视觉与模式识别 · 计算机科学 2024-09-27 Ofir Gordon , Elad Cohen , Hai Victor Habi , Arnon Netzer

Multi-bit quantization networks enable flexible deployment of deep neural networks by supporting multiple precision levels within a single model. However, existing approaches suffer from significant training overhead as full-dataset updates…

计算机视觉与模式识别 · 计算机科学 2025-10-24 Jinhee Kim , Jae Jun An , Kang Eun Jeon , Jong Hwan Ko

Model quantization is a widely used technique to compress and accelerate deep neural network (DNN) inference, especially when deploying to edge or IoT devices with limited computation capacity and power consumption budget. The uniform bit…

机器学习 · 计算机科学 2020-04-27 Tao Wang , Junsong Wang , Chang Xu , Chao Xue

Nonconvex regularization has been popularly used in low-rank matrix learning. However, extending it for low-rank tensor learning is still computationally expensive. To address this problem, we develop an efficient solver for use with a…

机器学习 · 计算机科学 2022-05-09 Quanming Yao , Yaqing Wang , Bo Han , James Kwok

In this work, we generalized and unified two recent completely different works of~\cite{shi2015large} and~\cite{cartis2012adaptive} respectively into one by proposing the cyclic incremental Newton-type gradient descent with cubic…

最优化与控制 · 数学 2020-02-18 Ziqiang Shi

Quantization is a technique used in deep neural networks (DNNs) to increase execution performance and hardware efficiency. Uniform post-training quantization (PTQ) methods are common, since they can be implemented efficiently in hardware…

机器学习 · 计算机科学 2021-10-29 Gil Shomron , Freddy Gabbay , Samer Kurzum , Uri Weiser

Low-rank modeling has a lot of important applications in machine learning, computer vision and social network analysis. While the matrix rank is often approximated by the convex nuclear norm, the use of nonconvex low-rank regularizers has…

数值分析 · 计算机科学 2016-05-02 Quanming Yao , James T. Kwok , Wenliang Zhong

Quantization has become a crucial step for the efficient deployment of deep neural networks, where floating point operations are converted to simpler fixed point operations. In its most naive form, it simply consists in a combination of…

机器学习 · 计算机科学 2023-08-16 Edouard Yvinec , Arnaud Dapogny , Kevin Bailly

The quantization of neural networks for the mitigation of the nonlinear and components' distortions in dual-polarization optical fiber transmission is studied. Two low-complexity neural network equalizers are applied in three 16-QAM 34.4…

信号处理 · 电气工程与系统科学 2023-10-11 Jamal Darweesh , Nelson Costa , Antonio Napoli , Bernhard Spinnler , Yves Jaouen , Mansoor Yousefi

An optimization algorithm for nonsmooth nonconvex constrained optimization problems with upper-C2 objective functions is proposed and analyzed. Upper-C2 is a weakly concave property that exists in difference of convex (DC) functions and…

最优化与控制 · 数学 2022-04-21 Jingyi Wang , Cosmin G. Petra

A descent algorithm, "Quasi-Quadratic Minimization with Memory" (QQMM), is proposed for unconstrained minimization of the sum, $F$, of a non-negative convex function, $V$, and a quadratic form. Such problems come up in regularized…

统计计算 · 统计学 2008-11-19 Steven P. Ellis

This paper introduces an abstract framework for randomized subspace correction methods for convex optimization, which unifies and generalizes a broad class of existing algorithms, including domain decomposition, multigrid, and block…

最优化与控制 · 数学 2026-04-28 Boou Jiang , Jongho Park , Jinchao Xu

Post-training quantization (PTQ) for vision transformers (ViTs) has garnered significant attention due to its efficiency in compressing models. However, existing methods typically overlook the relationship between a well-trained NN and the…

计算机视觉与模式识别 · 计算机科学 2025-11-04 Peng Xia , Junbiao Pang , Tianyang Cai

Quantization has become a predominant approach for model compression, enabling deployment of large models trained on GPUs onto smaller form-factor devices for inference. Quantization-aware training (QAT) optimizes model parameters with…

机器学习 · 计算机科学 2022-12-13 Zheng Wang , Juncheng B Li , Shuhui Qu , Florian Metze , Emma Strubell

This paper studies distributed algorithms for (strongly convex) composite optimization problems over mesh networks, subject to quantized communications. Instead of focusing on a specific algorithmic design, a black-box model is proposed,…

最优化与控制 · 数学 2022-05-19 Nicolò Michelusi , Gesualdo Scutari , Chang-Shen Lee