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In this paper, we present a generic framework to extend existing uniformly optimal convex programming algorithms to solve more general nonlinear, possibly nonconvex, optimization problems. The basic idea is to incorporate a local search…

Optimization and Control · Mathematics 2015-10-27 Saeed Ghadimi , Guanghui Lan , Hongchao Zhang

We introduce a quantization-aware training algorithm that guarantees avoiding numerical overflow when reducing the precision of accumulators during inference. We leverage weight normalization as a means of constraining parameters during…

Machine Learning · Computer Science 2023-02-01 Ian Colbert , Alessandro Pappalardo , Jakoba Petri-Koenig

Post-training quantization has emerged as the most widely used strategy for deploying large language models at low precision. Still, current methods show perplexity degradation at bit-widths less than or equal to 4, partly because…

Machine Learning · Computer Science 2026-01-30 Lorenz K. Müller , Philippe Bich , Jiawei Zhuang , Ahmet Çelik , Luca Benfenati , Lukas Cavigelli

We tackle the problem of producing compact models, maximizing their accuracy for a given model size. A standard solution is to train networks with Quantization Aware Training, where the weights are quantized during training and the…

Machine Learning · Computer Science 2021-03-02 Angela Fan , Pierre Stock , Benjamin Graham , Edouard Grave , Remi Gribonval , Herve Jegou , Armand Joulin

Recently, vision transformers (ViTs) have superseded convolutional neural networks in numerous applications, including classification, detection, and segmentation. However, the high computational requirements of ViTs hinder their widespread…

Computer Vision and Pattern Recognition · Computer Science 2024-05-20 Jemin Lee , Yongin Kwon , Sihyeong Park , Misun Yu , Jeman Park , Hwanjun Song

Quantization and pruning are core techniques used to reduce the inference costs of deep neural networks. State-of-the-art quantization techniques are currently applied to both the weights and activations; however, pruning is most often…

Machine Learning · Computer Science 2021-11-02 Xinyu Zhang , Ian Colbert , Ken Kreutz-Delgado , Srinjoy Das

This study proposes a cubic regularization of the Newton method for generating weakly efficient points of unconstrained vector optimization problems under no convexity assumption on the objective function. It is observed that at a given…

Optimization and Control · Mathematics 2025-05-20 Debdas Ghosh

Motivated by applications in optimization and machine learning, we consider stochastic quasi-Newton (SQN) methods for solving stochastic optimization problems. In the literature, the convergence analysis of these algorithms relies on strong…

Optimization and Control · Mathematics 2016-03-16 Farzad Yousefian , Angelia Nedić , Uday V. Shanbha

Quantization-aware training (QAT) is a leading technique for improving the accuracy of quantized neural networks. Previous work has shown that decomposing training into a full-precision (FP) phase followed by a QAT phase yields superior…

Machine Learning · Computer Science 2026-02-27 Aleksandr Dremov , David Grangier , Angelos Katharopoulos , Awni Hannun

Large Language Models (LLMs) deliver strong performance across a wide range of NLP tasks, but their massive sizes hinder deployment on resource-constrained devices. To reduce their computational and memory burden, various compression…

Machine Learning · Computer Science 2026-05-18 Dung Anh Hoang , Cuong Pham , Cuong Nguyen , Trung le , Jianfei Cai , Thanh-Toan Do

We propose a stochastic variance-reduced cubic regularized Newton method for non-convex optimization. At the core of our algorithm is a novel semi-stochastic gradient along with a semi-stochastic Hessian, which are specifically designed for…

Machine Learning · Computer Science 2018-02-14 Dongruo Zhou , Pan Xu , Quanquan Gu

This paper proposes a training method having multiple cyclic training for achieving enhanced performance in low-bit quantized convolutional neural networks (CNNs). Quantization is a popular method for obtaining lightweight CNNs, where the…

Computer Vision and Pattern Recognition · Computer Science 2022-06-28 HyunJin Kim , Jungwoo Shin , Alberto A. Del Barrio

Quantization is an effective technique to reduce memory footprint, inference latency, and power consumption of deep learning models. However, existing quantization methods suffer from accuracy degradation compared to full-precision (FP)…

Machine Learning · Computer Science 2022-10-14 Zheng Wang , Juncheng B Li , Shuhui Qu , Florian Metze , Emma Strubell

This paper addresses the optimization problem of minimizing non-convex continuous functions, which is relevant in the context of high-dimensional machine learning applications characterized by over-parametrization. We analyze a randomized…

Machine Learning · Computer Science 2025-02-28 Jim Zhao , Aurelien Lucchi , Nikita Doikov

We show that robustness to post-training quantization (PTQ) is a transferable direction in weight space. We call this direction the quantization vector: extracted from a donor task by simple weight-space arithmetic, it can be used to patch…

Computer Vision and Pattern Recognition · Computer Science 2026-05-11 Daniele Solombrino , Antonio Andrea Gargiulo , Alessandro Zirilli , Luca Zhou , Adrian Robert Minut , Emanuele Rodolà

Quantization emerges as one of the most promising compression technologies for deploying efficient large models for various real time application in recent years. Considering that the storage and IO of weights take up the vast majority of…

Machine Learning · Computer Science 2024-04-22 Yi Guo , Fanliu Kong , Xiaoyang Li , Hui Li , Wei Chen , Xiaogang Tian , Jinping Cai , Yang Zhang , Shouda Liu

We consider the problem of model compression for deep neural networks (DNNs) in the challenging one-shot/post-training setting, in which we are given an accurate trained model, and must compress it without any retraining, based only on a…

Machine Learning · Computer Science 2023-01-10 Elias Frantar , Sidak Pal Singh , Dan Alistarh

Post-training quantization (PTQ) for vision transformers (ViTs) has received increasing attention from both academic and industrial communities due to its minimal data needs and high time efficiency. However, many current methods fail to…

Computer Vision and Pattern Recognition · Computer Science 2025-02-05 Yunshan Zhong , You Huang , Jiawei Hu , Yuxin Zhang , Rongrong Ji

This paper examines the quantization methods used in large-scale data analysis models and their hyperparameter choices. The recent surge in data analysis scale has significantly increased computational resource requirements. To address…

Machine Learning · Statistics 2024-01-31 Shuhei Kashiwamura , Ayaka Sakata , Masaaki Imaizumi

Adaptive cubic regularization methods have emerged as a credible alternative to linesearch and trust-region for smooth nonconvex optimization, with optimal complexity amongst second-order methods. Here we consider a general/new class of…

Optimization and Control · Mathematics 2018-11-20 Coralia Cartis , Nicholas I. M. Gould , Philippe L. Toint