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Modern machine learning algorithms aim to extract fine-grained information from data to provide accurate predictions, which often conflicts with the goal of privacy protection. This paper addresses the practical and theoretical importance…

机器学习 · 统计学 2023-07-17 Puyu Wang , Yunwen Lei , Yiming Ying , Ding-Xuan Zhou

Brains remain unrivaled in their ability to recognize and generate complex spatiotemporal patterns. While AI is able to reproduce some of these capabilities, deep learning algorithms remain largely at odds with our current understanding of…

神经元与认知 · 定量生物学 2026-03-13 Simon Brandt , Paul Haider , Walter Senn , Federico Benitez , Mihai A. Petrovici

Student dropout is a global issue influenced by personal, familial, and academic factors, with varying rates across countries. This paper introduces an AI-driven predictive modeling approach to identify students at risk of dropping out…

We introduce data structures for solving robust regression through stochastic gradient descent (SGD) by sampling gradients with probability proportional to their norm, i.e., importance sampling. Although SGD is widely used for large scale…

机器学习 · 计算机科学 2022-07-19 Sepideh Mahabadi , David P. Woodruff , Samson Zhou

We introduce Density sketches (DS): a succinct online summary of the data distribution. DS can accurately estimate point wise probability density. Interestingly, DS also provides a capability to sample unseen novel data from the underlying…

数据结构与算法 · 计算机科学 2021-02-25 Aditya Desai , Benjamin Coleman , Anshumali Shrivastava

Automatic differentiation, as implemented today, does not have a simple mathematical model adapted to the needs of modern machine learning. In this work we articulate the relationships between differentiation of programs as implemented in…

机器学习 · 计算机科学 2020-10-30 Jerome Bolte , Edouard Pauwels

The success of machine learning algorithms generally depends on data representation, and we hypothesize that this is because different representations can entangle and hide more or less the different explanatory factors of variation behind…

机器学习 · 计算机科学 2014-04-24 Yoshua Bengio , Aaron Courville , Pascal Vincent

Active area of research in AI is the theory of manifold learning and finding lower-dimensional manifold representation on how we can learn geometry from data for providing better quality curated datasets. There are however various issues…

机器学习 · 计算机科学 2024-10-16 Liubov Tupikina , Kathuria Hritika

Scalability is a significant challenge when it comes to applying differential privacy to training deep neural networks. The commonly used DP-SGD algorithm struggles to maintain a high level of privacy protection while achieving high…

计算机视觉与模式识别 · 计算机科学 2023-06-22 Kamil Adamczewski , Yingchen He , Mijung Park

Stochastic gradient algorithms are the main focus of large-scale optimization problems and led to important successes in the recent advancement of the deep learning algorithms. The convergence of SGD depends on the careful choice of…

机器学习 · 计算机科学 2017-03-03 Caglar Gulcehre , Jose Sotelo , Marcin Moczulski , Yoshua Bengio

We propose a novel method for training a neural network for image classification to reduce input data dynamically, in order to reduce the costs of training a neural network model. As Deep Learning tasks become more popular, their…

机器学习 · 计算机科学 2025-10-10 Dominic Sanderson , Tatiana Kalgonova

Nanoparticles occur in various environments as a consequence of man-made processes, which raises concerns about their impact on the environment and human health. To allow for proper risk assessment, a precise and statistically relevant…

The performance of a deep neural network is highly dependent on its training, and finding better local optimal solutions is the goal of many optimization algorithms. However, existing optimization algorithms show a preference for descent…

计算机视觉与模式识别 · 计算机科学 2019-12-06 Huangxing Lin , Weihong Zeng , Xinghao Ding , Yue Huang , Chenxi Huang , John Paisley

Industrial machine learning systems face data challenges that are often under-explored in the academic literature. Common data challenges are data distribution shifts, missing values and anomalies. In this paper, we discuss data challenges…

机器学习 · 计算机科学 2022-03-17 Michael Bohlke-Schneider , Shubham Kapoor , Tim Januschowski

Kernel methods are learning algorithms that enjoy solid theoretical foundations while suffering from important computational limitations. Sketching, which consists in looking for solutions among a subspace of reduced dimension, is a well…

机器学习 · 统计学 2023-11-07 Tamim El Ahmad , Pierre Laforgue , Florence d'Alché-Buc

Massive data is often considered essential for deep learning applications, but it also incurs significant computational and infrastructural costs. Therefore, dataset pruning (DP) has emerged as an effective way to improve data efficiency by…

机器学习 · 计算机科学 2023-11-21 Yihua Zhang , Yimeng Zhang , Aochuan Chen , Jinghan Jia , Jiancheng Liu , Gaowen Liu , Mingyi Hong , Shiyu Chang , Sijia Liu

We propose a deep supervised learning algorithm based on low-discrepancy sequences as the training set. By a combination of theoretical arguments and extensive numerical experiments we demonstrate that the proposed algorithm significantly…

机器学习 · 计算机科学 2020-05-27 Siddhartha Mishra , T. Konstantin Rusch

In this work we propose a new paradigm for designing efficient deep unrolling networks using operator sketching. The deep unrolling networks are currently the state-of-the-art solutions for imaging inverse problems. However, for…

计算机视觉与模式识别 · 计算机科学 2022-06-07 Junqi Tang , Subhadip Mukherjee , Carola-Bibiane Schönlieb

The stochastic gradient descent (SGD) algorithm has been widely used in statistical estimation for large-scale data due to its computational and memory efficiency. While most existing works focus on the convergence of the objective function…

机器学习 · 统计学 2023-11-02 Xi Chen , Jason D. Lee , Xin T. Tong , Yichen Zhang

In this chapter, we utilize dynamical systems to analyze several aspects of machine learning algorithms. As an expository contribution we demonstrate how to re-formulate a wide variety of challenges from deep neural networks, (stochastic)…

动力系统 · 数学 2025-07-08 Dennis Chemnitz , Maximilian Engel , Christian Kuehn , Sara-Viola Kuntz