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This paper presents a comprehensive evaluation framework for image segmentation algorithms, encompassing naive methods, machine learning approaches, and deep learning techniques. We begin by introducing the fundamental concepts and…

Computer Vision and Pattern Recognition · Computer Science 2025-04-08 Tatiana Merkulova , Bharani Jayakumar

Regularization-based image restoration has remained an active research topic in computer vision and image processing. It often leverages a guidance signal captured in different fields as an additional cue. In this work, we present a general…

Computer Vision and Pattern Recognition · Computer Science 2016-12-21 Youngjung Kim , Hyungjoo Jung , Dongbo Min , Kwanghoon Sohn

Having reliable specifications is an unavoidable challenge in achieving verifiable correctness, robustness, and interpretability of AI systems. Existing specifications for neural networks are in the paradigm of data as specification. That…

Machine Learning · Computer Science 2023-03-20 Chuqin Geng , Nham Le , Xiaojie Xu , Zhaoyue Wang , Arie Gurfinkel , Xujie Si

As deep neural networks are increasingly being deployed in practice, their efficiency has become an important issue. While there are compression techniques for reducing the network's size, energy consumption and computational requirement,…

Machine Learning · Computer Science 2020-01-31 Brandon Paulsen , Jingbo Wang , Chao Wang

We introduce a novel architecture and computational framework for formal, automated analysis of systems with a broad set of nonlinearities in the feedback loop, such as neural networks, vision controllers, switched systems, and even simple…

Optimization and Control · Mathematics 2018-05-02 Ivan Papusha , Ufuk Topcu , Steven Carr , Niklas Lauffer

This survey provides an in-depth and explanatory review of the approximation properties of deep neural networks, with a focus on feed-forward and residual architectures. The primary objective is to examine how effectively neural networks…

Machine Learning · Computer Science 2024-12-18 Owen Davis , Mohammad Motamed

Barrier functions are a general framework for establishing a safety guarantee for a system. However, there is no general method for finding these functions. To address this shortcoming, recent approaches use self-supervised learning…

Machine Learning · Computer Science 2024-03-13 Shaoru Chen , Lekan Molu , Mahyar Fazlyab

Current approaches to neural network verification focus on specifications that target small regions around known input data points, such as local robustness. Thus, using these approaches, we can not obtain guarantees for inputs that are not…

Machine Learning · Computer Science 2023-06-23 David Boetius , Stefan Leue

As modern deep learning architectures grow in complexity, representational ambiguity emerges as a critical barrier to their interpretability and reliable merging. For ReLU networks, identical functional mappings can be achieved through…

Machine Learning · Computer Science 2026-04-21 Kutomanov Hennadii

It has been observed in practical applications and in theoretical analysis that over-parametrization helps to find good minima in neural network training. Similarly, in this article we study widening and deepening neural networks by a…

Numerical Analysis · Mathematics 2020-02-06 G. Welper

Neural abstractions have been recently introduced as formal approximations of complex, nonlinear dynamical models. They comprise a neural ODE and a certified upper bound on the error between the abstract neural network and the concrete…

Logic in Computer Science · Computer Science 2023-10-03 Alec Edwards , Mirco Giacobbe , Alessandro Abate

Neural network compression has gained increasing attention in recent years, particularly in computer vision applications, where the need for model reduction is crucial for overcoming deployment constraints. Pruning is a widely used…

Computer Vision and Pattern Recognition · Computer Science 2025-10-22 Baptiste Bauvin , Loïc Baret , Ola Ahmad

This paper proposes a new algorithmic framework, predictor-verifier training, to train neural networks that are verifiable, i.e., networks that provably satisfy some desired input-output properties. The key idea is to simultaneously train…

Deep Neural Networks demonstrate exceptional performance but remain vulnerable to adversarial perturbations, necessitating formal verification for safety-critical deployment. To address the computational complexity of this task, researchers…

Software Engineering · Computer Science 2026-03-17 Jingyang Li , Fu Song , Guoqiang Li

Deep neural networks can be effective means to automatically classify aerial images but is easy to overfit to the training data. It is critical for trained neural networks to be robust to variations that exist between training and test…

Computer Vision and Pattern Recognition · Computer Science 2019-09-25 Jiayun Wang , Patrick Virtue , Stella X. Yu

Image explanation has been one of the key research interests in the Deep Learning field. Throughout the years, several approaches have been adopted to explain an input image fed by the user. From detecting an object in a given image to…

Computer Vision and Pattern Recognition · Computer Science 2025-06-24 Debjyoti Das Adhikary , Aritra Hazra , Partha Pratim Chakrabarti

Noise is ubiquitous during image acquisition. Sufficient denoising is often an important first step for image processing. In recent decades, deep neural networks (DNNs) have been widely used for image denoising. Most DNN-based image…

Computer Vision and Pattern Recognition · Computer Science 2024-08-02 Chenyin Gao , Shu Yang , Anru R. Zhang

Uncertainty estimation in machine learning is paramount for enhancing the reliability and interpretability of predictive models, especially in high-stakes real-world scenarios. Despite the availability of numerous methods, they often pose a…

Computer Vision and Pattern Recognition · Computer Science 2023-08-16 Anton Baumann , Thomas Roßberg , Michael Schmitt

Incorporating prior knowledge or specifications of input-output relationships into machine learning models has attracted significant attention, as it enhances generalization from limited data and yields conforming outputs. However, most…

Machine Learning · Computer Science 2025-10-21 Youngjae Min , Navid Azizan

Image foreground extraction is a classical problem in image processing and vision, with a large range of applications. In this dissertation, we focus on the extraction of text and graphics in mixed-content images, and design novel…

Computer Vision and Pattern Recognition · Computer Science 2018-04-10 Shervin Minaee