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Stochastic gradient descent (SGD) is a cornerstone algorithm for high-dimensional optimization, renowned for its empirical successes. Recent theoretical advances have provided a deep understanding of how SGD enables feature learning in…

Machine Learning · Statistics 2026-02-23 Nived Rajaraman , Yanjun Han

Symmetric positive definite (SPD) matrices are useful for capturing second-order statistics of visual data. To compare two SPD matrices, several measures are available, such as the affine-invariant Riemannian metric, Jeffreys divergence,…

Computer Vision and Pattern Recognition · Computer Science 2017-08-08 Anoop Cherian , Panagiotis Stanitsas , Mehrtash Harandi , Vassilios Morellas , Nikolaos Papanikolopoulos

As deep neural networks can easily overfit noisy labels, robust training in the presence of noisy labels is becoming an important challenge in modern deep learning. While existing methods address this problem in various directions, they…

Machine Learning · Computer Science 2022-11-30 Jongwoo Ko , Bongsoo Yi , Se-Young Yun

Improving performance in multiple domains is a challenging task, and often requires significant amounts of data to train and test models. Active learning techniques provide a promising solution by enabling models to select the most…

Machine Learning · Computer Science 2023-04-14 Anand Gokul Mahalingam , Aayush Shah , Akshay Gulati , Royston Mascarenhas , Rakshitha Panduranga

Large amounts of labeled training data are one of the main contributors to the great success that deep models have achieved in the past. Label acquisition for tasks other than benchmarks can pose a challenge due to requirements of both…

Computer Vision and Pattern Recognition · Computer Science 2020-01-22 Clemens-Alexander Brust , Christoph Käding , Joachim Denzler

Adjusting the learning rate schedule in stochastic gradient methods is an important unresolved problem which requires tuning in practice. If certain parameters of the loss function such as smoothness or strong convexity constants are known,…

Machine Learning · Statistics 2020-11-23 Xiaoxia Wu , Rachel Ward , Léon Bottou

The scope of research in the domain of activation functions remains limited and centered around improving the ease of optimization or generalization quality of neural networks (NNs). However, to develop a deeper understanding of deep…

Machine Learning · Computer Science 2020-12-10 Mohit Goyal , Rajan Goyal , Brejesh Lall

Active Learning (AL) is increasingly important in a broad range of applications. Two main AL principles to obtain accurate classification with few labeled data are refinement of the current decision boundary and exploration of poorly…

Machine Learning · Computer Science 2012-10-19 Jens Roeder , Boaz Nadler , Kevin Kunzmann , Fred A. Hamprecht

We propose a novel active learning strategy for regression, which is model-agnostic, robust against model mismatch, and interpretable. Assuming that a small number of initial samples are available, we derive the optimal training density…

Machine Learning · Computer Science 2021-07-27 Danny Panknin , Klaus Robert Müller , Shinichi Nakajima

Important research efforts have focused on the design and training of neural networks with a controlled Lipschitz constant. The goal is to increase and sometimes guarantee the robustness against adversarial attacks. Recent promising…

Machine Learning · Computer Science 2023-10-30 Alexandre Araujo , Aaron Havens , Blaise Delattre , Alexandre Allauzen , Bin Hu

We study the identification and estimation of treatment effect parameters in weakly separable models. In their seminal work, Vytlacil and Yildiz (2007) showed how to identify and estimate the average treatment effect of a dummy endogenous…

Econometrics · Economics 2020-04-06 Songnian Chen , Shakeeb Khan , Xun Tang

Reinforcement Learning (RL) has demonstrated tremendous empirical success across numerous challenging domains. However, we lack a strong theoretical understanding of the statistical complexity of RL in environments with large state spaces,…

Machine Learning · Computer Science 2025-06-03 Gene Li

Modern multimodal systems deployed in industrial and safety-critical environments must remain reliable under partial sensor failures, signal degradation, or cross-modal inconsistencies. This work introduces a mathematically grounded…

Machine Learning · Computer Science 2026-03-27 Diyar Altinses , Andreas Schwung

In reinforcement learning (RL), agents often operate in partially observed and uncertain environments. Model-based RL suggests that this is best achieved by learning and exploiting a probabilistic model of the world. 'Active inference' is…

Machine Learning · Computer Science 2019-11-26 Alexander Tschantz , Manuel Baltieri , Anil. K. Seth , Christopher L. Buckley

Knowledge Distillation (KD) has been used in image classification for model compression. However, rare studies apply this technology on single-stage object detectors. Focal loss shows that the accumulated errors of easily-classified samples…

Computer Vision and Pattern Recognition · Computer Science 2019-01-15 Shitao Tang , Litong Feng , Wenqi Shao , Zhanghui Kuang , Wei Zhang , Yimin Chen

In deep learning, a central issue is to understand how neural networks efficiently learn high-dimensional features. To this end, we explore the gradient descent learning of a general Gaussian Multi-index model…

Machine Learning · Statistics 2026-02-06 Bohan Zhang , Zihao Wang , Hengyu Fu , Jason D. Lee

Active learning is of great interest for many practical applications, especially in industry and the physical sciences, where there is a strong need to minimize the number of costly experiments necessary to train predictive models. However,…

Machine Learning · Computer Science 2021-12-23 Maryam Pardakhti , Nila Mandal , Anson W. K. Ma , Qian Yang

Lipschitz-constrained neural networks have several advantages over unconstrained ones and can be applied to a variety of problems, making them a topic of attention in the deep learning community. Unfortunately, it has been shown both…

Machine Learning · Computer Science 2023-12-20 Stanislas Ducotterd , Alexis Goujon , Pakshal Bohra , Dimitris Perdios , Sebastian Neumayer , Michael Unser

Active learning strategies respond to the costly labelling task in a supervised classification by selecting the most useful unlabelled examples in training a predictive model. Many conventional active learning algorithms focus on refining…

Machine Learning · Computer Science 2014-08-12 Djallel Bouneffouf

Deep neural networks have reached high accuracy on object detection but their success hinges on large amounts of labeled data. To reduce the labels dependency, various active learning strategies have been proposed, typically based on the…

Computer Vision and Pattern Recognition · Computer Science 2021-11-30 Ismail Elezi , Zhiding Yu , Anima Anandkumar , Laura Leal-Taixe , Jose M. Alvarez