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Nonnegative matrix factorization is the following problem: given a nonnegative input matrix $V$ and a factorization rank $K$, compute two nonnegative matrices, $W$ with $K$ columns and $H$ with $K$ rows, such that $WH$ approximates $V$ as…

最优化与控制 · 数学 2025-01-10 Valentin Leplat , Yurii Nesterov , Nicolas Gillis , François Glineur

Latent variable models are powerful tools for modeling complex phenomena involving in particular partially observed data, unobserved variables or underlying complex unknown structures. Inference is often difficult due to the latent…

统计理论 · 数学 2023-06-23 Charlotte Baey , Maud Delattre , Estelle Kuhn , Jean-Benoist Leger , Sarah Lemler

Learning discriminative deep feature embeddings by using million-scale in-the-wild datasets and margin-based softmax loss is the current state-of-the-art approach for face recognition. However, the memory and computing cost of the Fully…

计算机视觉与模式识别 · 计算机科学 2022-03-30 Xiang An , Jiankang Deng , Jia Guo , Ziyong Feng , Xuhan Zhu , Jing Yang , Tongliang Liu

Attention operators have been applied on both 1-D data like texts and higher-order data such as images and videos. Use of attention operators on high-order data requires flattening of the spatial or spatial-temporal dimensions into a…

计算机视觉与模式识别 · 计算机科学 2020-07-17 Hongyang Gao , Zhengyang Wang , Shuiwang Ji

Decisions made by convolutional neural networks(CNN) can be understood and explained by visualizing discriminative regions on images. To this end, Class Activation Map (CAM) based methods were proposed as powerful interpretation tools,…

计算机视觉与模式识别 · 计算机科学 2023-07-12 Yi Liao , Yongsheng Gao , Weichuan Zhang

Nonlinear control systems with partial information to the decision maker are prevalent in a variety of applications. As a step toward studying such nonlinear systems, this work explores reinforcement learning methods for finding the optimal…

机器学习 · 计算机科学 2025-04-11 Yinbin Han , Meisam Razaviyayn , Renyuan Xu

We develop a Frank-Wolfe algorithm with corrective steps, generalizing previous algorithms including blended conditional gradients, blended pairwise conditional gradients, and fully-corrective Frank-Wolfe. For this, we prove tight…

We introduce \underline{F}actor-\underline{A}ugmented \underline{Ma}trix \underline{R}egression (FAMAR) to address the growing applications of matrix-variate data and their associated challenges, particularly with high-dimensionality and…

统计方法学 · 统计学 2024-05-29 Elynn Chen , Jianqing Fan , Xiaonan Zhu

Parameter-efficient fine-tuning (PEFT) is the default way to adapt LLMs, but widely used LoRA and QLoRA are largely geometry-agnostic: they optimize in fixed, randomly oriented low-rank subspaces with first-order descent, mostly ignoring…

Momentum based optimizers are central to a wide range of machine learning applications. These typically rely on an Exponential Moving Average (EMA) of gradients, which decays exponentially the present contribution of older gradients. This…

机器学习 · 计算机科学 2024-10-01 Matteo Pagliardini , Pierre Ablin , David Grangier

General Matrix Multiplication (GEMM) is the cornerstone of HPC workloads and Deep Learning. State-of-the-art vendor libraries tune tensor layouts, parallelization schemes, and cache blocking to minimize data movement across the memory…

分布式、并行与集群计算 · 计算机科学 2026-04-09 Evangelos Georganas , Alexander Heinecke , Pradeep Dubey

We develop a hybrid framework for quantum parameter estimation in the presence of nuisance parameters. In this Bayes-point scheme, the parameters of interest are treated as fixed non-random parameters while nuisance parameters are…

量子物理 · 物理学 2025-10-21 Jianchao Zhang , Jun Suzuki

This paper proposes a novel Non-Local Attention optmization and Improved Context modeling-based image compression (NLAIC) algorithm, which is built on top of the deep nerual network (DNN)-based variational auto-encoder (VAE) structure. Our…

图像与视频处理 · 电气工程与系统科学 2023-02-20 Tong Chen , Haojie Liu , Zhan Ma , Qiu Shen , Xun Cao , Yao Wang

We study first-order methods (FOMs) for solving \emph{composite nonconvex nonsmooth} optimization with linear constraints. Recently, the lower complexity bounds of FOMs on finding an ($\varepsilon,\varepsilon$)-KKT point of the considered…

最优化与控制 · 数学 2025-04-01 Wei Liu , Qihang Lin , Yangyang Xu

Semantic segmentation involves assigning a specific category to each pixel in an image. While Vision Transformer-based models have made significant progress, current semantic segmentation methods often struggle with precise predictions in…

计算机视觉与模式识别 · 计算机科学 2024-08-13 Guoan Xu , Wenfeng Huang , Tao Wu , Ligeng Chen , Wenjing Jia , Guangwei Gao , Xiatian Zhu , Stuart Perry

Adaptive gradient-based optimizers, notably Adam, have left their mark in training large-scale deep learning models, offering fast convergence and robustness to hyperparameter settings. However, they often struggle with generalization,…

The area under the ROC curve (AUC) is a measure of interest in various machine learning and data mining applications. It has been widely used to evaluate classification performance on heavily imbalanced data. The kernelized AUC maximization…

机器学习 · 计算机科学 2019-04-30 Majdi Khalid , Indrakshi Ray , Hamidreza Chitsaz

With a computationally efficient approximation of the second-order information, natural gradient methods have been successful in solving large-scale structured optimization problems. We study the natural gradient methods for the large-scale…

最优化与控制 · 数学 2023-03-20 Jiang Hu , Kangkang Deng , Na Li , Quanzheng Li

Pipeline parallelism enables efficient training of Large Language Models (LLMs) on large-scale distributed accelerator clusters. Yet, pipeline bubbles during startup and tear-down reduce the utilization of accelerators. Although efficient…

机器学习 · 计算机科学 2023-05-16 Kazuki Osawa , Shigang Li , Torsten Hoefler

We introduce a new method inspired by Adam that enhances convergence speed and achieves better loss function minima. Traditional optimizers, including Adam, apply uniform or globally adjusted learning rates across neural networks without…

机器学习 · 计算机科学 2024-11-01 Remi Genet , Hugo Inzirillo