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The analysis in Part I revealed interesting properties for subgradient learning algorithms in the context of stochastic optimization when gradient noise is present. These algorithms are used when the risk functions are non-smooth and…

最优化与控制 · 数学 2017-04-21 Bicheng Ying , Ali H. Sayed

When working with textual data, a natural application of disentangled representations is fair classification where the goal is to make predictions without being biased (or influenced) by sensitive attributes that may be present in the data…

计算与语言 · 计算机科学 2022-10-10 Pierre Colombo , Guillaume Staerman , Nathan Noiry , Pablo Piantanida

In this paper, we focus on weakly supervised learning with noisy training data for both classification and regression problems.We assume that the training outputs are collected from a mixture of a target and correlated noise…

机器学习 · 计算机科学 2021-10-28 Sungjoon Choi , Sanghoon Hong , Kyungjae Lee , Sungbin Lim

In most machine learning tasks, we evaluate a model $M$ on a given data population $S$ by measuring a population-level metric $F(S;M)$. Examples of such evaluation metric $F$ include precision/recall for (binary) recognition, the F1 score…

计算与语言 · 计算机科学 2021-03-23 Fei Yuan , Longtu Zhang , Huang Bojun , Yaobo Liang

Stochastic Gradient Descent (SGD) and its variants are mainstream methods for training deep networks in practice. SGD is known to find a flat minimum that often generalizes well. However, it is mathematically unclear how deep learning can…

机器学习 · 计算机科学 2021-01-18 Zeke Xie , Issei Sato , Masashi Sugiyama

We study the relationship between the frequency of a function and the speed at which a neural network learns it. We build on recent results that show that the dynamics of overparameterized neural networks trained with gradient descent can…

机器学习 · 计算机科学 2019-12-03 Ronen Basri , David Jacobs , Yoni Kasten , Shira Kritchman

Feature selection is one of the most relevant processes in any methodology for creating a statistical learning model. Usually, existing algorithms establish some criterion to select the most influential variables, discarding those that do…

机器学习 · 统计学 2024-05-10 Carlos Sebastián , Carlos E. González-Guillén

This paper considers nonparametric regression from strongly mixing observations. The proposed approach is based on deep neural networks with minimum error entropy (MEE) principle. We study two estimators: the non-penalized deep neural…

机器学习 · 统计学 2026-03-13 William Kengne , Modou Wade

We consider learning under the constraint of local differential privacy (LDP). For many learning problems known efficient algorithms in this model require many rounds of communication between the server and the clients holding the data…

机器学习 · 计算机科学 2019-10-29 Amit Daniely , Vitaly Feldman

We are motivated by problems that arise in a number of applications such as Online Marketing and Explosives detection, where the observations are usually modeled using Poisson statistics. We model each observation as a Poisson random…

机器学习 · 统计学 2016-06-29 Mohammad H. Rohban , Delaram Motamedvaziri , Venkatesh Saligrama

In this paper, we consider a recently-proposed model of teaching and learning under uncertainty, in which a teacher receives independent observations of a single bit corrupted by binary symmetric noise, and sequentially transmits to a…

信息论 · 计算机科学 2022-12-09 Yan Hao Ling , Jonathan Scarlett

In this paper we consider learning in passive setting but with a slight modification. We assume that the target expected loss, also referred to as target risk, is provided in advance for learner as prior knowledge. Unlike most studies in…

机器学习 · 计算机科学 2013-05-21 Mehrdad Mahdavi , Rong Jin

With the deluge of digitized information in the Big Data era, massive datasets are becoming increasingly available for learning predictive models. However, in many practical situations, the poor control of the data acquisition processes may…

机器学习 · 统计学 2022-11-02 Stephan Clémençon , Pierre Laforgue

Motivated by distributed machine learning settings such as Federated Learning, we consider the problem of fitting a statistical model across a distributed collection of heterogeneous data sets whose similarity structure is encoded by a…

统计理论 · 数学 2021-11-30 Dominic Richards , Sahand N. Negahban , Patrick Rebeschini

We provide statistical learning guarantees for two unsupervised learning tasks in the context of compressive statistical learning, a general framework for resource-efficient large-scale learning that we introduced in a companion paper.The…

机器学习 · 计算机科学 2021-08-18 Rémi Gribonval , Gilles Blanchard , Nicolas Keriven , Yann Traonmilin

Bayesian neural networks with latent variables are scalable and flexible probabilistic models: They account for uncertainty in the estimation of the network weights and, by making use of latent variables, can capture complex noise patterns…

The learning rate in stochastic gradient methods is a critical hyperparameter that is notoriously costly to tune via standard grid search, especially for training modern large-scale models with billions of parameters. We identify a…

机器学习 · 计算机科学 2026-02-17 Amit Attia , Tomer Koren

In modern deep learning, algorithmic choices (such as width, depth, and learning rate) are known to modulate nuanced resource tradeoffs. This work investigates how these complexities necessarily arise for feature learning in the presence of…

机器学习 · 计算机科学 2023-10-31 Benjamin L. Edelman , Surbhi Goel , Sham Kakade , Eran Malach , Cyril Zhang

We consider the problem of performing linear regression over a stream of $d$-dimensional examples, and show that any algorithm that uses a subquadratic amount of memory exhibits a slower rate of convergence than can be achieved without…

机器学习 · 计算机科学 2020-10-13 Vatsal Sharan , Aaron Sidford , Gregory Valiant

Given a finite set of sample points, meta-learning algorithms aim to learn an optimal adaptation strategy for new, unseen tasks. Often, this data can be ambiguous as it might belong to different tasks concurrently. This is particularly the…

机器学习 · 计算机科学 2024-10-24 Alfredo Reichlin , Gustaf Tegnér , Miguel Vasco , Hang Yin , Mårten Björkman , Danica Kragic