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The simulations indicate that the existing hard thresholding technique independent of the residual function may cause a dramatic increase or numerical oscillation of the residual. This inherit drawback of the hard thresholding renders the…

信息论 · 计算机科学 2019-09-04 Yun-Bin Zhao

The communication bottleneck has been a critical problem in large-scale distributed deep learning. In this work, we study distributed SGD with random block-wise sparsification as the gradient compressor, which is ring-allreduce compatible…

机器学习 · 计算机科学 2022-06-14 An Xu , Heng Huang

Asynchronous parallel optimization algorithms for solving large-scale machine learning problems have drawn significant attention from academia to industry recently. This paper proposes a novel algorithm, decoupled asynchronous proximal…

最优化与控制 · 数学 2016-05-24 Yitan Li , Linli Xu , Xiaowei Zhong , Qing Ling

Sparse learning is a very important tool for mining useful information and patterns from high dimensional data. Non-convex non-smooth regularized learning problems play essential roles in sparse learning, and have drawn extensive attentions…

机器学习 · 计算机科学 2020-10-22 Guannan Liang , Qianqian Tong , Jiahao Ding , Miao Pan , Jinbo Bi

To reduce the long training time of large deep neural network (DNN) models, distributed synchronous stochastic gradient descent (S-SGD) is commonly used on a cluster of workers. However, the speedup brought by multiple workers is limited by…

机器学习 · 计算机科学 2020-03-03 Shaohuai Shi , Zhenheng Tang , Qiang Wang , Kaiyong Zhao , Xiaowen Chu

With the prevalence of pre-training-fine-tuning paradigm, how to efficiently adapt the pre-trained model to the downstream tasks has been an intriguing issue. Parameter-Efficient Fine-Tuning (PEFT) methods have been proposed for low-cost…

机器学习 · 计算机科学 2024-06-11 Weixi Song , Zuchao Li , Lefei Zhang , Hai Zhao , Bo Du

Top-$k$ decoding is a widely used method for sampling from LLMs: at each token, only the largest $k$ next-token-probabilities are kept, and the next token is sampled after re-normalizing them to sum to unity. Top-$k$ and other sampling…

人工智能 · 计算机科学 2026-02-24 Georgy Noarov , Soham Mallick , Tao Wang , Sunay Joshi , Yan Sun , Yangxinyu Xie , Mengxin Yu , Edgar Dobriban

Several sparsity-constrained algorithms such as Orthogonal Matching Pursuit or the Frank-Wolfe algorithm with sparsity constraints work by iteratively selecting a novel atom to add to the current non-zero set of variables. This selection…

机器学习 · 计算机科学 2016-08-23 A Rakotomamonjy , S Koço , Liva Ralaivola

Large scale optimization problems are ubiquitous in machine learning and data analysis and there is a plethora of algorithms for solving such problems. Many of these algorithms employ sub-sampling, as a way to either speed up the…

最优化与控制 · 数学 2016-02-29 Farbod Roosta-Khorasani , Michael W. Mahoney

Neural networks are easier to optimise when they have many more weights than are required for modelling the mapping from inputs to outputs. This suggests a two-stage learning procedure that first learns a large net and then prunes away…

Deep neural networks (DNNs) are effective in solving many real-world problems. Larger DNN models usually exhibit better quality (e.g., accuracy) but their excessive computation results in long inference time. Model sparsification can reduce…

计算机视觉与模式识别 · 计算机科学 2022-03-07 Xiaolong Ma , Minghai Qin , Fei Sun , Zejiang Hou , Kun Yuan , Yi Xu , Yanzhi Wang , Yen-Kuang Chen , Rong Jin , Yuan Xie

-The fluctuation effect of gradient expectation and variance caused by parameter update between consecutive iterations is neglected or confusing by current mainstream gradient optimization algorithms. The work in this paper remedy this…

机器学习 · 统计学 2021-10-08 Aixiang Chen

Sharpness-aware Minimization (SAM) has been proposed recently to improve model generalization ability. However, SAM calculates the gradient twice in each optimization step, thereby doubling the computation costs compared to stochastic…

计算机视觉与模式识别 · 计算机科学 2024-03-15 Jiaxin Deng , Junbiao Pang , Baochang Zhang , Tian Wang

Sparse inversion and classification problems are ubiquitous in modern data science and imaging. They are often formulated as non-smooth minimisation problems. In sparse inversion, we minimise, e.g., the sum of a data fidelity term and an…

数值分析 · 数学 2022-11-23 Jonas Latz

The iterations of many first-order algorithms, when applied to minimizing common regularized regression functions, often resemble neural network layers with pre-specified weights. This observation has prompted the development of…

机器学习 · 计算机科学 2017-08-03 Hao He , Bo Xin , David Wipf

Fine-tuning pretrained self-supervised language models is widely adopted for transfer learning to downstream tasks. Fine-tuning can be achieved by freezing gradients of the pretrained network and only updating gradients of a newly added…

计算与语言 · 计算机科学 2023-07-20 James O' Neill , Sourav Dutta

We analyse and explain the increased generalisation performance of iterate averaging using a Gaussian process perturbation model between the true and batch risk surface on the high dimensional quadratic. We derive three phenomena…

机器学习 · 统计学 2021-11-02 Diego Granziol , Xingchen Wan , Samuel Albanie , Stephen Roberts

In this work, we consider multitask learning problems where clusters of nodes are interested in estimating their own parameter vector. Cooperation among clusters is beneficial when the optimal models of adjacent clusters have a good number…

系统与控制 · 计算机科学 2016-11-03 Roula Nassif , Cédric Richard , André Ferrari , Ali H. Sayed

Gradient descent is a widely used iterative algorithm for finding local minima in multivariate functions. However, the final iterations often either overshoot the minima or make minimal progress, making it challenging to determine an…

机器学习 · 计算机科学 2024-10-28 Aviral Dhingra

This paper introduces a new proximal stochastic gradient method with variance reduction and stabilization for minimizing the sum of a convex stochastic function and a group sparsity-inducing regularization function. Since the method may be…

最优化与控制 · 数学 2023-02-15 Yutong Dai , Guanyi Wang , Frank E. Curtis , Daniel P. Robinson