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We consider a typical learning problem of point estimations for modeling of nonlinear functions or dynamical systems in which generalization, i.e., verifying a given learned model, can be embedded as an integral part of the learning process…

Optimization and Control · Mathematics 2024-08-06 Getachew K. Befekadu

Research on generalization bounds for deep networks seeks to give ways to predict test error using just the training dataset and the network parameters. While generalization bounds can give many insights about architecture design, training…

Machine Learning · Computer Science 2022-03-21 Yi Zhang , Arushi Gupta , Nikunj Saunshi , Sanjeev Arora

In high dimensional settings, density estimation algorithms rely crucially on their inductive bias. Despite recent empirical success, the inductive bias of deep generative models is not well understood. In this paper we propose a framework…

Machine Learning · Computer Science 2018-11-09 Shengjia Zhao , Hongyu Ren , Arianna Yuan , Jiaming Song , Noah Goodman , Stefano Ermon

The goal of domain generalization is to learn from multiple source domains to generalize to unseen target domains under distribution discrepancy. Current state-of-the-art methods in this area are fully supervised, but for many real-world…

Machine Learning · Computer Science 2020-10-01 Hossein Sharifi-Noghabi , Hossein Asghari , Nazanin Mehrasa , Martin Ester

Considering smooth mappings from input vectors to continuous targets, our goal is to characterise subspaces of the input domain, which are invariant under such mappings. Thus, we want to characterise manifolds implicitly defined by level…

Machine Learning · Computer Science 2022-04-15 Vitali Nesterov , Fabricio Arend Torres , Monika Nagy-Huber , Maxim Samarin , Volker Roth

Generative modeling, which learns joint probability distribution from data and generates samples according to it, is an important task in machine learning and artificial intelligence. Inspired by probabilistic interpretation of quantum…

Statistical Mechanics · Physics 2018-07-20 Zhao-Yu Han , Jun Wang , Heng Fan , Lei Wang , Pan Zhang

We study the problem of learning a generalizable action policy for an intelligent agent to actively approach an object of interest in an indoor environment solely from its visual inputs. While scene-driven or recognition-driven visual…

Robotics · Computer Science 2019-03-08 Xin Ye , Zhe Lin , Joon-Young Lee , Jianming Zhang , Shibin Zheng , Yezhou Yang

Recent advances in the field of meta-learning have tackled domains consisting of large numbers of small ("few-shot") supervised learning tasks. Meta-learning algorithms must be able to rapidly adapt to any individual few-shot task, fitting…

Machine Learning · Computer Science 2021-10-22 Vivek Myers , Nikhil Sardana

Generative adversarial networks (GANs) provide an algorithmic framework for constructing generative models with several appealing properties: they do not require a likelihood function to be specified, only a generating procedure; they…

Machine Learning · Statistics 2017-02-28 Shakir Mohamed , Balaji Lakshminarayanan

A crucial aspect in reliable machine learning is to design a deployable system in generalizing new related but unobserved environments. Domain generalization aims to alleviate such a prediction gap between the observed and unseen…

Machine Learning · Computer Science 2021-06-01 Changjian Shui , Boyu Wang , Christian Gagné

Foundation models have established unified representations for natural language processing, yet this paradigm remains largely unexplored for tabular data. Existing methods face fundamental limitations: LLM-based approaches lack…

Computation and Language · Computer Science 2026-05-07 Minjie Qiang , Mingming Zhang , Xiaoyi Bao , Xing Fu , Yu Cheng , Weiqiang Wang , Zhongqing Wang , Ningtao Wang

In this work, we propose a notion of practical learnability grounded in finite sample settings, and develop a conjugate learning theoretical framework based on convex conjugate duality to characterize this learnability property. Building on…

Machine Learning · Statistics 2026-02-20 Binchuan Qi

Representation learning and unsupervised learning are two central topics of machine learning and signal processing. Deep learning is one of the most effective unsupervised representation learning approach. The main contributions of this…

Machine Learning · Computer Science 2014-01-06 Xiao-Lei Zhang , Ji Wu

Random features models play a distinguished role in the theory of deep learning, describing the behavior of neural networks close to their infinite-width limit. In this work, we present a thorough analysis of the generalization performance…

Disordered Systems and Neural Networks · Physics 2025-02-03 Fabián Aguirre-López , Silvio Franz , Mauro Pastore

This paper provides a general framework to study the effect of sampling properties of training data on the generalization error of the learned machine learning (ML) models. Specifically, we propose a new spectral analysis of the…

Machine Learning · Computer Science 2019-06-11 Bhavya Kailkhura , Jayaraman J. Thiagarajan , Qunwei Li , Peer-Timo Bremer

Models trained in the context of continual learning (CL) should be able to learn from a stream of data over an undefined period of time. The main challenges herein are: 1) maintaining old knowledge while simultaneously benefiting from it…

Neural and Evolutionary Computing · Computer Science 2019-12-03 Oleksiy Ostapenko , Mihai Puscas , Tassilo Klein , Patrick Jähnichen , Moin Nabi

In order to scale standard Gaussian process (GP) regression to large-scale datasets, aggregation models employ factorized training process and then combine predictions from distributed experts. The state-of-the-art aggregation models,…

Machine Learning · Statistics 2018-06-05 Haitao Liu , Jianfei Cai , Yi Wang , Yew-Soon Ong

This paper introduces an active learning framework for manifold Gaussian Process (GP) regression, combining manifold learning with strategic data selection to improve accuracy in high-dimensional spaces. Our method jointly optimizes a…

Machine Learning · Statistics 2026-05-12 Yuanxing Cheng , Lulu Kang , Yiwei Wang , Chun Liu

Graph neural networks (GNNs), as the de-facto model class for representation learning on graphs, are built upon the multi-layer perceptrons (MLP) architecture with additional message passing layers to allow features to flow across nodes.…

Machine Learning · Computer Science 2023-08-07 Chenxiao Yang , Qitian Wu , Jiahua Wang , Junchi Yan

We present a novel attribute learning framework named Hypergraph-based Attribute Predictor (HAP). In HAP, a hypergraph is leveraged to depict the attribute relations in the data. Then the attribute prediction problem is casted as a…

Computer Vision and Pattern Recognition · Computer Science 2015-03-20 Sheng Huang , Mohamed Elhoseiny , Ahmed Elgammal , Dan Yang
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