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We propose a new constrained EM algorithm that is applicable to general constrained estimation problems. The proposed method is based on a novel framework, the `dual-homotopy framework,' which combines deterministic annealing EM with a…

Methodology · Statistics 2026-05-13 Jisoo Choi , Hee-Seok Oh

Whilst most engineered systems use signals that are continuous in time, there is a domain of systems in which signals consist of events. Events, like Dirac delta functions, have no meaningful time duration. Many important real-world systems…

Neural and Evolutionary Computing · Computer Science 2014-06-02 Jonathan Tapson , André van Schaik

Prior work on probing neural networks primarily relies on input-space analysis or parameter perturbation, both of which face fundamental limitations in accessing structural information encoded in intermediate representations. We introduce…

Machine Learning · Computer Science 2026-02-04 Tao Ren , Xiaoyu Luo , Qiongxiu Li

Network security threats in embedded systems pose significant challenges to critical infrastructure protection. This paper presents a comprehensive framework combining ensemble learning methods with explainable artificial intelligence (XAI)…

Cryptography and Security · Computer Science 2026-04-20 Wanru Shao

The maximum a-posteriori (MAP) perturbation framework has emerged as a useful approach for inference and learning in high dimensional complex models. By maximizing a randomly perturbed potential function, MAP perturbations generate unbiased…

Machine Learning · Computer Science 2013-10-17 Francesco Orabona , Tamir Hazan , Anand D. Sarwate , Tommi Jaakkola

Neural networks have demonstrated state-of-the-art performance in various machine learning fields. However, the introduction of malicious perturbations in input data, known as adversarial examples, has been shown to deceive neural network…

Machine Learning · Computer Science 2023-02-06 Dennis Y. Menn , Tzu-hsun Feng , Hung-yi Lee

Imaging Inverse problems aim to reconstruct an underlying image from undersampled, coded, and noisy observations. Within the wide range of reconstruction frameworks, the unrolling algorithm is one of the most popular due to the synergistic…

Image and Video Processing · Electrical Eng. & Systems 2026-04-16 Roman Jacome , Romario Gualdrón-Hurtado , Leon Suarez-Rodriguez , Henry Arguello

Topology Optimization seeks to find the best design that satisfies a set of constraints while maximizing system performance. Traditional iterative optimization methods like SIMP can be computationally expensive and get stuck in local…

Machine Learning · Computer Science 2023-03-20 Giorgio Giannone , Faez Ahmed

Vehicle manufacturers are racing to create autonomous navigation and steering control algorithms for their vehicles. These software are made to handle various real-life scenarios such as obstacle avoidance and lane maneuvering. There is…

Computer Vision and Pattern Recognition · Computer Science 2023-10-09 Shivam Aarya

We develop a rigorous theoretical framework for principal manifold estimation that recovers a latent low-dimensional manifold from a point cloud observed in a high-dimensional ambient space. Our framework accommodates manifolds with…

Statistics Theory · Mathematics 2026-04-07 Kun Meng , Christopher Perez

Nonlinear manifold learning algorithms, such as diffusion maps, have been fruitfully applied in recent years to the analysis of large and complex data sets. However, such algorithms still encounter challenges when faced with real data. One…

Mathematical Physics · Physics 2015-05-25 Carmeline J. Dsilva , Ronen Talmon , Ronald R. Coifman , Ioannis G. Kevrekidis

In real-world systems, the relationships and connections between components are highly complex. Real systems are often described as networks, where nodes represent objects in the system and edges represent relationships or connections…

Algebraic Topology · Mathematics 2024-06-24 Shen Zhang

The apparent ``black box'' nature of neural networks is a barrier to adoption in applications where explainability is essential. This paper presents TAME (Trainable Attention Mechanism for Explanations), a method for generating explanation…

Computer Vision and Pattern Recognition · Computer Science 2025-01-30 Mariano Ntrougkas , Nikolaos Gkalelis , Vasileios Mezaris

Deep learning has become the state of the art approach in many machine learning problems such as classification. It has recently been shown that deep learning is highly vulnerable to adversarial perturbations. Taking the camera systems of…

Machine Learning · Statistics 2018-02-09 Thilo Strauss , Markus Hanselmann , Andrej Junginger , Holger Ulmer

Machine learning models are used in many sensitive areas where besides predictive accuracy their comprehensibility is also important. Interpretability of prediction models is necessary to determine their biases and causes of errors, and is…

Machine Learning · Computer Science 2021-01-29 Domen Vreš , Marko Robnik Šikonja

This paper presents entropy maps, an approach to describing and visualising uncertainty among alternative potential movement intentions in pedestrian simulation models. In particular, entropy maps show the instantaneous level of randomness…

Human-Computer Interaction · Computer Science 2019-09-10 Luca Crociani , Giuseppe Vizzari , Stefania Bandini

Rule-based explanations provide simple reasons explaining the behavior of machine learning classifiers at given points in the feature space. Several recent methods (Anchors, LORE, etc.) purport to generate rule-based explanations for…

Machine Learning · Computer Science 2023-01-24 Brett Mullins

Safe UAV navigation is challenging due to the complex environment structures, dynamic obstacles, and uncertainties from measurement noises and unpredictable moving obstacle behaviors. Although plenty of recent works achieve safe navigation…

Robotics · Computer Science 2022-03-15 Zhefan Xu , Di Deng , Yiping Dong , Kenji Shimada

It is well known that conservative mechanical systems exhibit local oscillatory behaviours due to their elastic and gravitational potentials, which completely characterise these periodic motions together with the inertial properties of the…

Optimization and Control · Mathematics 2023-06-26 Yannik Wotte , Sven Dummer , Nicolò Botteghi , Christoph Brune , Stefano Stramigioli , Federico Califano

Ensembling is now recognized as an effective approach for increasing the predictive performance and calibration of deep networks. We introduce a new approach, Parameter Ensembling by Perturbation (PEP), that constructs an ensemble of…

Machine Learning · Computer Science 2020-10-27 Alireza Mehrtash , Purang Abolmaesumi , Polina Golland , Tina Kapur , Demian Wassermann , William M. Wells