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Sparse regression on a library of candidate features has developed as the prime method to discover the partial differential equation underlying a spatio-temporal data-set. These features consist of higher order derivatives, limiting model…

机器学习 · 计算机科学 2021-05-05 Gert-Jan Both , Gijs Vermarien , Remy Kusters

Modern large scale machine learning applications require stochastic optimization algorithms to be implemented on distributed computational architectures. A key bottleneck is the communication overhead for exchanging information such as…

机器学习 · 计算机科学 2017-10-31 Jianqiao Wangni , Jialei Wang , Ji Liu , Tong Zhang

For many practical, high-risk applications, it is essential to quantify uncertainty in a model's predictions to avoid costly mistakes. While predictive uncertainty is widely studied for neural networks, the topic seems to be under-explored…

机器学习 · 计算机科学 2021-04-05 Andrey Malinin , Liudmila Prokhorenkova , Aleksei Ustimenko

We develop new stochastic gradient methods for efficiently solving sparse linear regression in a partial attribute observation setting, where learners are only allowed to observe a fixed number of actively chosen attributes per example at…

最优化与控制 · 数学 2018-12-04 Tomoya Murata , Taiji Suzuki

One of the most significant bottleneck in training large scale machine learning models on parameter server (PS) is the communication overhead, because it needs to frequently exchange the model gradients between the workers and servers…

机器学习 · 计算机科学 2018-04-25 Guoxin Cui , Jun Xu , Wei Zeng , Yanyan Lan , Jiafeng Guo , Xueqi Cheng

Mini-batch algorithms have been proposed as a way to speed-up stochastic convex optimization problems. We study how such algorithms can be improved using accelerated gradient methods. We provide a novel analysis, which shows how standard…

机器学习 · 计算机科学 2011-06-24 Andrew Cotter , Ohad Shamir , Nathan Srebro , Karthik Sridharan

This paper revisits cluster-based retrieval that partitions the inverted index into multiple groups and skips the index partially at cluster and document levels during online inference using a learned sparse representation. It proposes an…

信息检索 · 计算机科学 2024-04-16 Yifan Qiao , Shanxiu He , Yingrui Yang , Parker Carlson , Tao Yang

Variance reduction methods such as SVRG and SpiderBoost use a mixture of large and small batch gradients to reduce the variance of stochastic gradients. Compared to SGD, these methods require at least double the number of operations per…

机器学习 · 计算机科学 2020-01-28 Melih Elibol , Lihua Lei , Michael I. Jordan

Gradient boosting from the field of statistical learning is widely known as a powerful framework for estimation and selection of predictor effects in various regression models by adapting concepts from classification theory. Current…

统计方法学 · 统计学 2020-11-03 Colin Griesbach , Benjamin Säfken , Elisabeth Waldmann

A major obstacle to achieving global convergence in distributed and federated learning is the misalignment of gradients across clients, or mini-batches due to heterogeneity and stochasticity of the distributed data. In this work, we show…

机器学习 · 计算机科学 2021-12-14 Yatin Dandi , Luis Barba , Martin Jaggi

Gradient boosting is a prediction method that iteratively combines weak learners to produce a complex and accurate model. From an optimization point of view, the learning procedure of gradient boosting mimics a gradient descent on a…

机器学习 · 计算机科学 2022-11-30 Erwan Fouillen , Claire Boyer , Maxime Sangnier

Quantum Clustering is a powerful method to detect clusters in data with mixed density. However, it is very sensitive to a length parameter that is inherent to the Schr\"odinger equation. In addition, linking data points into clusters…

Sparsity is a desirable attribute. It can lead to more efficient and more effective representations compared to the dense model. Meanwhile, learning sparse latent representations has been a challenging problem in the field of computer…

计算机视觉与模式识别 · 计算机科学 2022-09-22 Hanao Li , Tian Han

We propose an algebraic framework for studying efficient algorithms for query evaluation, aggregation, enumeration, and maintenance under updates, on sparse databases. Our framework allows to treat those problems in a unified way, by…

计算机科学中的逻辑 · 计算机科学 2020-01-01 Szymon Toruńczyk

Stochastic optimization algorithms update models with cheap per-iteration costs sequentially, which makes them amenable for large-scale data analysis. Such algorithms have been widely studied for structured sparse models where the sparsity…

机器学习 · 计算机科学 2019-05-10 Baojian Zhou , Feng Chen , Yiming Ying

Large-scale distributed optimization is of great importance in various applications. For data-parallel based distributed learning, the inter-node gradient communication often becomes the performance bottleneck. In this paper, we propose the…

计算机视觉与模式识别 · 计算机科学 2018-06-22 Jiaxiang Wu , Weidong Huang , Junzhou Huang , Tong Zhang

Logistic regression, the Support Vector Machine (SVM), and least squares are well-studied methods in the statistical and computer science community, with various practical applications. High-dimensional data arriving on a real-time basis…

机器学习 · 计算机科学 2024-11-07 Debbie Lim , Yixian Qiu , Patrick Rebentrost , Qisheng Wang

We propose a Bayesian approach for recursively estimating the classifier weights in online learning of a classifier ensemble. In contrast with past methods, such as stochastic gradient descent or online boosting, our approach estimates the…

机器学习 · 计算机科学 2015-07-09 Qinxun Bai , Henry Lam , Stan Sclaroff

Automatic differentiation frameworks are optimized for exactly one thing: computing the average mini-batch gradient. Yet, other quantities such as the variance of the mini-batch gradients or many approximations to the Hessian can, in…

机器学习 · 计算机科学 2020-02-18 Felix Dangel , Frederik Kunstner , Philipp Hennig

This paper proposes a sparse regression strategy for discovery of ordinary differential equations from incomplete and noisy data. Inference is performed over both equation parameters and state variables using a statistically motivated…

动力系统 · 数学 2026-02-18 Teddy Meissner , Karl Glasner