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Nearest neighbor random walks in the quarter plane that are absorbed when reaching the boundary are studied. The cases of positive and zero drift are considered. Absorption probabilities at a given time and at a given site are made…

Probability · Mathematics 2009-02-18 Kilian Raschel

This survey is focused on certain sequential decision-making problems that involve optimizing over probability functions. We discuss the relevance of these problems for learning and control. The survey is organized around a framework that…

Optimization and Control · Mathematics 2023-01-13 Emiland Garrabe , Giovanni Russo

Despite achieving remarkable performance on many image classification tasks, state-of-the-art machine learning (ML) classifiers remain vulnerable to small input perturbations. Especially, the existence of adversarial examples raises…

Machine Learning · Computer Science 2020-02-06 David Mickisch , Felix Assion , Florens Greßner , Wiebke Günther , Mariele Motta

Complex autonomous control systems are subjected to sensor failures, cyber-attacks, sensor noise, communication channel failures, etc. that introduce errors in the measurements. The corrupted information, if used for making decisions, can…

Machine Learning · Computer Science 2018-09-19 Abhishek Gupta , Zhaoyuan Yang

Deep neural networks are at the forefront of machine learning research. However, despite achieving impressive performance on complex tasks, they can be very sensitive: Small perturbations of inputs can be sufficient to induce incorrect…

Computer Vision and Pattern Recognition · Computer Science 2020-09-04 Alex Serban , Erik Poll , Joost Visser

This paper considers an ergodic version of the bounded velocity follower problem, assuming that the decision maker lacks knowledge of the underlying system parameters and must learn them while simultaneously controlling. We propose…

Machine Learning · Statistics 2024-10-07 Stefan Ankirchner , Sören Christensen , Jan Kallsen , Philip Le Borne , Stefan Perko

Though learning has become a core component of modern information processing, there is now ample evidence that it can lead to biased, unsafe, and prejudiced systems. The need to impose requirements on learning is therefore paramount,…

Machine Learning · Computer Science 2022-10-20 Luiz F. O. Chamon , Santiago Paternain , Miguel Calvo-Fullana , Alejandro Ribeiro

In a recent breakthrough, [Bshouty et al., 2005] obtained the first passive-learning algorithm for DNFs under the uniform distribution. They showed that DNFs are learnable in the Random Walk and Noise Sensitivity models. We extend their…

Machine Learning · Computer Science 2011-09-07 S. Roch

We consider random walks in which the walk originates in one set of nodes and then continues until it reaches one or more nodes in a target set. The time required for the walk to reach the target set is of interest in understanding the…

Systems and Control · Computer Science 2019-01-11 Andrew Clark , Basel Alomair , Linda Bushnell , Radha Poovendran

In learning with noisy labels, the sample selection approach is very popular, which regards small-loss data as correctly labeled during training. However, losses are generated on-the-fly based on the model being trained with noisy labels,…

Machine Learning · Computer Science 2021-06-02 Xiaobo Xia , Tongliang Liu , Bo Han , Mingming Gong , Jun Yu , Gang Niu , Masashi Sugiyama

Learning under one-sided feedback (i.e., where we only observe the labels for examples we predicted positively on) is a fundamental problem in machine learning -- applications include lending and recommendation systems. Despite this, there…

Machine Learning · Computer Science 2020-10-14 Heinrich Jiang , Qijia Jiang , Aldo Pacchiano

We study the problem of learning predictors that are robust to adversarial examples with respect to an unknown perturbation set, relying instead on interaction with an adversarial attacker or access to attack oracles, examining different…

Machine Learning · Computer Science 2021-02-04 Omar Montasser , Steve Hanneke , Nathan Srebro

We study the problem of learning in the presence of a drifting target concept. Specifically, we provide bounds on the error rate at a given time, given a learner with access to a history of independent samples labeled according to a target…

Machine Learning · Computer Science 2015-05-21 Steve Hanneke , Varun Kanade , Liu Yang

Training deep neural models in the presence of corrupted supervision is challenging as the corrupted data points may significantly impact the generalization performance. To alleviate this problem, we present an efficient robust algorithm…

Machine Learning · Computer Science 2021-02-16 Boyang Liu , Mengying Sun , Ding Wang , Pang-Ning Tan , Jiayu Zhou

Addressing fairness concerns about machine learning models is a crucial step towards their long-term adoption in real-world automated systems. While many approaches have been developed for training fair models from data, little is known…

Machine Learning · Computer Science 2022-06-09 Nikola Konstantinov , Christoph H. Lampert

Neural networks are known to be vulnerable to adversarial examples: inputs that are close to natural inputs but classified incorrectly. In order to better understand the space of adversarial examples, we survey ten recent proposals that are…

Machine Learning · Computer Science 2017-11-02 Nicholas Carlini , David Wagner

Learning theory has largely focused on two main learning scenarios. The first is the classical statistical setting where instances are drawn i.i.d. from a fixed distribution and the second scenario is the online learning, completely…

Machine Learning · Statistics 2011-04-28 Alexander Rakhlin , Karthik Sridharan , Ambuj Tewari

It has been shown that deep learning models can under certain circumstances outperform traditional statistical methods at forecasting. Furthermore, various techniques have been developed for quantifying the forecast uncertainty (prediction…

Machine Learning · Computer Science 2021-10-08 Thabang Mathonsi , Terence L. van Zyl

Forecasting irregular time series presents significant challenges due to two key issues: the vulnerability of models to mean regression, driven by the noisy and complex nature of the data, and the limitations of traditional error-based…

Machine Learning · Computer Science 2024-12-02 Heejeong Nam , Jihyun Kim , Jimin Yeom

Perceptual estimates exhibit a reversal in bias depending on uncertainty: they shift toward prior expectations under high stimulus noise, but away from them when sensory noise dominates. The normative framework of a Bayesian observer model…

Neurons and Cognition · Quantitative Biology 2025-10-16 Hyun-Jun Jeon , Hansol Choi , Oh-Sang Kwon
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