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Despite the recent success of stochastic gradient descent in deep learning, it is often difficult to train a deep neural network with an inappropriate choice of its initial parameters. Even if training is successful, it has been known that…

Machine Learning · Computer Science 2023-02-10 Cheolhyoung Lee , Kyunghyun Cho

This paper tackles the problem of feature selection in a highly challenging setting: $\mathbb{E}(y | \boldsymbol{x}) = G(\boldsymbol{x}_{\mathcal{S}_0})$, where $\mathcal{S}_0$ is the set of relevant features and $G$ is an unknown,…

Machine Learning · Statistics 2025-12-16 Junye Du , Zhenghao Li , Zhutong Gu , Long Feng

We propose an active set selection framework for Gaussian process classification for cases when the dataset is large enough to render its inference prohibitive. Our scheme consists of a two step alternating procedure of active set update…

Machine Learning · Statistics 2011-06-24 Ricardo Henao , Ole Winther

Neural networks that synergistically integrate data and physical laws offer great promise in modeling dynamical systems. However, iterative gradient-based optimization of network parameters is often computationally expensive and suffers…

Machine Learning · Computer Science 2026-04-16 Atamert Rahma , Chinmay Datar , Felix Dietrich

Unrolled computation graphs arise in many scenarios, including training RNNs, tuning hyperparameters through unrolled optimization, and training learned optimizers. Current approaches to optimizing parameters in such computation graphs…

Machine Learning · Computer Science 2021-12-28 Paul Vicol , Luke Metz , Jascha Sohl-Dickstein

The heavy-tailed behavior of the generalized extreme-value distribution makes it a popular choice for modeling extreme events such as floods, droughts, heatwaves, wildfires, etc. However, estimating the distribution's parameters using…

Gaussian process (GP) models are effective non-linear models for numerous scientific applications. However, computation of their hyperparameters can be difficult when there is a large number of training observations (n) due to the O(n^3)…

Computation · Statistics 2024-10-14 Amanda Muyskens , Benjamin W. Priest , Imene R. Goumiri , Michael D. Schneider

We investigate the problem of active learning in the streaming setting in non-parametric regimes, where the labels are stochastically generated from a class of functions on which we make no assumptions whatsoever. We rely on recently…

Machine Learning · Computer Science 2021-06-08 Pranjal Awasthi , Christoph Dann , Claudio Gentile , Ayush Sekhari , Zhilei Wang

When humans learn a new concept, they might ignore examples that they cannot make sense of at first, and only later focus on such examples, when they are more useful for learning. We propose incorporating this idea of tunable sensitivity…

Machine Learning · Statistics 2016-11-24 Gil Keren , Sivan Sabato , Björn Schuller

This paper proposes a framework for multi-robot systems to perform simultaneous learning and coverage of a domain of interest characterized by an unknown and potentially time-varying density function. To overcome the limitations of Gaussian…

Robotics · Computer Science 2025-11-11 Ruijie Du , Ruoyu Lin , Yanning Shen , Magnus Egerstedt

Kernel models of potential energy surfaces (PES) for polyatomic molecules are often restricted by a specific choice of the kernel function. This can be avoided by optimizing the complexity of the kernel function. For regression problems…

Chemical Physics · Physics 2023-05-02 Jun Dai , Roman V. Krems

Conventional predictive Artificial Neural Networks (ANNs) commonly employ deterministic weight matrices; therefore, their prediction is a point estimate. Such a deterministic nature in ANNs causes the limitations of using ANNs for medical…

Machine Learning · Computer Science 2020-07-02 Minhyeok Lee , Junhee Seok

To assess generalization, machine learning scientists typically either (i) bound the generalization gap and then (after training) plug in the empirical risk to obtain a bound on the true risk; or (ii) validate empirically on holdout data.…

Machine Learning · Computer Science 2021-11-09 Saurabh Garg , Sivaraman Balakrishnan , J. Zico Kolter , Zachary C. Lipton

Modern deep learning models have achieved great success in predictive accuracy for many data modalities. However, their application to many real-world tasks is restricted by poor uncertainty estimates, such as overconfidence on…

Machine Learning · Statistics 2020-10-16 Ben Adlam , Jaehoon Lee , Lechao Xiao , Jeffrey Pennington , Jasper Snoek

``The right to be forgotten'' ensured by laws for user data privacy becomes increasingly important. Machine unlearning aims to efficiently remove the effect of certain data points on the trained model parameters so that it can be…

Machine Learning · Computer Science 2025-02-04 Eli Chien , Haoyu Wang , Ziang Chen , Pan Li

Probabilistic models such as Gaussian processes (GPs) are powerful tools to learn unknown dynamical systems from data for subsequent use in control design. While learning-based control has the potential to yield superior performance in…

Systems and Control · Electrical Eng. & Systems 2022-09-22 Alexander von Rohr , Matthias Neumann-Brosig , Sebastian Trimpe

In this work, we study scaling limits of shallow Bayesian neural networks (BNNs) via their connection to Gaussian processes (GPs), with an emphasis on statistical modeling, identifiability, and scalable inference. We first establish a…

Machine Learning · Statistics 2026-02-27 Gracielle Antunes de Araújo , Flávio B. Gonçalves

With the explosion of massive, widely available unlabeled data in the past years, finding label and time efficient, robust learning algorithms has become ever more important in theory and in practice. We study the paradigm of active…

Machine Learning · Computer Science 2020-01-17 Max Hopkins , Daniel Kane , Shachar Lovett , Gaurav Mahajan

When learning simulations for modeling physical phenomena in industrial designs, geometrical variabilities are of prime interest. While classical regression techniques prove effective for parameterized geometries, practical scenarios often…

Machine Learning · Computer Science 2023-10-24 Fabien Casenave , Brian Staber , Xavier Roynard

Information theoretic active learning has been widely studied for probabilistic models. For simple regression an optimal myopic policy is easily tractable. However, for other tasks and with more complex models, such as classification with…

Machine Learning · Statistics 2011-12-30 Neil Houlsby , Ferenc Huszár , Zoubin Ghahramani , Máté Lengyel