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Inverse reinforcement learning (IRL) usually assumes the reward function model is pre-specified as a weighted sum of features and estimates the weighting parameters only. However, how to select features and determine a proper reward model…

Machine Learning · Computer Science 2025-04-01 Chendi Qu , Jianping He , Xiaoming Duan , Jiming Chen

We introduce a parameterization method called Neural Bayes which allows computing statistical quantities that are in general difficult to compute and opens avenues for formulating new objectives for unsupervised representation learning.…

Machine Learning · Statistics 2020-02-24 Devansh Arpit , Huan Wang , Caiming Xiong , Richard Socher , Yoshua Bengio

The Evidential Regression Network (ERN) represents a novel approach that integrates deep learning with Dempster-Shafer's theory to predict a target and quantify the associated uncertainty. Guided by the underlying theory, specific…

Machine Learning · Computer Science 2024-01-04 Kai Ye , Tiejin Chen , Hua Wei , Liang Zhan

Learning with noisy labels is a common challenge in supervised learning. Existing approaches often require practitioners to specify noise rates, i.e., a set of parameters controlling the severity of label noises in the problem, and the…

Machine Learning · Computer Science 2020-08-18 Yang Liu , Hongyi Guo

Modern deep neural networks achieved remarkable progress in medical image segmentation tasks. However, it has recently been observed that they tend to produce overconfident estimates, even in situations of high uncertainty, leading to…

Computer Vision and Pattern Recognition · Computer Science 2023-06-05 Agostina Larrazabal , Cesar Martinez , Jose Dolz , Enzo Ferrante

The Expectation Maximization (EM) algorithm is a versatile tool for model parameter estimation in latent data models. When processing large data sets or data stream however, EM becomes intractable since it requires the whole data set to be…

Statistics Theory · Mathematics 2012-10-18 Sylvain Le Corff , Gersende Fort

Entropy integrals are widely used as a powerful empirical process tool to obtain upper bounds for the rates of convergence of global empirical risk minimizers (ERMs), in standard settings such as density estimation and regression. The upper…

Statistics Theory · Mathematics 2021-01-08 Qiyang Han

An interesting phenomenon arises: Empirical Risk Minimization (ERM) sometimes outperforms methods specifically designed for out-of-distribution tasks. This motivates an investigation into the reasons behind such behavior beyond algorithmic…

Machine Learning · Computer Science 2026-01-21 Hong Zheng , Fei Teng

In this paper, the solution to the empirical risk minimization problem with $f$-divergence regularization (ERM-$f$DR) is presented and conditions under which the solution also serves as the solution to the minimization of the expected…

Machine Learning · Statistics 2026-01-21 Francisco Daunas , Iñaki Esnaola , Samir M. Perlaza , H. Vincent Poor

In this paper, we introduce the neural empirical interpolation method (NEIM), a neural network-based alternative to the discrete empirical interpolation method for reducing the time complexity of computing the nonlinear term in a reduced…

Numerical Analysis · Mathematics 2025-05-13 Max Hirsch , Federico Pichi , Jan S. Hesthaven

The learning of the deep networks largely relies on the data with human-annotated labels. In some label insufficient situations, the performance degrades on the decision boundary with high data density. A common solution is to directly…

Computer Vision and Pattern Recognition · Computer Science 2020-03-30 Shuhao Cui , Shuhui Wang , Junbao Zhuo , Liang Li , Qingming Huang , Qi Tian

Error mitigation techniques, while instrumental in extending the capabilities of near-term quantum computers, often suffer from exponential resource scaling with noise levels. To address this limitation, we introduce a novel approach,…

Quantum Physics · Physics 2024-09-11 Gaurav Saxena , Thi Ha Kyaw

The development of new classification and regression algorithms based on empirical risk minimization (ERM) over deep neural network hypothesis classes, coined deep learning, revolutionized the area of artificial intelligence, machine…

Machine Learning · Computer Science 2020-11-12 Julius Berner , Philipp Grohs , Arnulf Jentzen

As opposed to standard empirical risk minimization (ERM), distributionally robust optimization aims to minimize the worst-case risk over a larger ambiguity set containing the original empirical distribution of the training data. In this…

Machine Learning · Computer Science 2021-01-06 Jaeho Lee , Maxim Raginsky

Maximum entropy principle (MEP) offers an effective and unbiased approach to inferring unknown probability distributions when faced with incomplete information, while neural networks provide the flexibility to learn complex distributions…

Machine Learning · Statistics 2024-12-04 Wuyue Yang , Liangrong Peng , Guojie Li , Liu Hong

Overparametrized Deep Neural Networks (DNNs) often achieve astounding performances, but may potentially result in severe generalization error. Recently, the relation between the sharpness of the loss landscape and the generalization error…

Artificial Intelligence · Computer Science 2022-05-31 Jiawei Du , Hanshu Yan , Jiashi Feng , Joey Tianyi Zhou , Liangli Zhen , Rick Siow Mong Goh , Vincent Y. F. Tan

The standard risk minimization paradigm of machine learning is brittle when operating in environments whose test distributions are different from the training distribution due to spurious correlations. Training on data from many…

Machine Learning · Computer Science 2020-03-20 Kartik Ahuja , Karthikeyan Shanmugam , Kush R. Varshney , Amit Dhurandhar

We study risk-sensitive reinforcement learning in finite discounted MDPs with recursive entropic risk measures (ERM), where the risk parameter $\beta \neq 0$ controls the agent's risk attitude: $\beta>0$ for risk-averse and $\beta<0$ for…

Machine Learning · Computer Science 2026-05-20 Oliver Mortensen , Mohammad Sadegh Talebi

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

Risk-averse total-reward Markov Decision Processes (MDPs) offer a promising framework for modeling and solving undiscounted infinite-horizon objectives. Existing model-based algorithms for risk measures like the entropic risk measure (ERM)…

Machine Learning · Computer Science 2025-10-27 Xihong Su , Jia Lin Hau , Gersi Doko , Kishan Panaganti , Marek Petrik