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In this paper we present an algebraic approach to the precise and global verification and explanation of Rectifier Neural Networks, a subclass of Piece-wise Linear Neural Networks (PLNNs), i.e., networks that semantically represent…

神经与进化计算 · 计算机科学 2023-05-01 Maximilian Schlüter , Gerrit Nolte , Alnis Murtovi , Bernhard Steffen

Topological Data Analysis (TDA) has been praised by researchers for its ability to capture intricate shapes and structures within data. TDA is considered robust in handling noisy and high-dimensional datasets, and its interpretability is…

机器学习 · 计算机科学 2024-01-10 Funmilola Mary Taiwo , Umar Islambekov , Cuneyt Gurcan Akcora

Deep neural networks (DNNs) are now the de facto choice for computer vision tasks such as image classification. However, their complexity and "black box" nature often renders the systems they're deployed in vulnerable to a range of security…

密码学与安全 · 计算机科学 2021-10-19 Chandramouli Amarnath , Aishwarya H. Balwani , Kwondo Ma , Abhijit Chatterjee

Deep Neural Networks (DNNs) are everywhere, frequently performing a fairly complex task that used to be unimaginable for machines to carry out. In doing so, they do a lot of decision making which, depending on the application, may be…

机器学习 · 计算机科学 2022-11-17 Avriti Chauhan , Mohammad Afzal , Hrishikesh Karmarkar , Yizhak Elboher , Kumar Madhukar , Guy Katz

Modern deep neural networks are powerful predictive tools yet often lack valid inference for causal parameters, such as treatment effects or entire survival curves. While frameworks like Double Machine Learning (DML) and Targeted Maximum…

机器学习 · 计算机科学 2025-07-17 Yi Li , David Mccoy , Nolan Gunter , Kaitlyn Lee , Alejandro Schuler , Mark van der Laan

Topological data analysis (TDA) provides insight into data shape. The summaries obtained by these methods are principled global descriptions of multi-dimensional data whilst exhibiting stable properties such as robustness to deformation and…

机器学习 · 计算机科学 2024-03-18 Ali Zia , Abdelwahed Khamis , James Nichols , Zeeshan Hayder , Vivien Rolland , Lars Petersson

The widespread deployment of deep nets in practical applications has lead to a growing desire to understand how and why such black-box methods perform prediction. Much work has focused on understanding what part of the input pattern (an…

机器学习 · 计算机科学 2023-01-31 Suryabhan Singh Hada , Miguel Á. Carreira-Perpiñán , Arman Zharmagambetov

Recently, pre-trained encoders have gained widespread use due to their strong capability in representation extraction. However, they are vulnerable to downstream-agnostic attacks (DAAs). Existing DAA methods operate under a permissive…

计算机视觉与模式识别 · 计算机科学 2026-05-20 Zhuxin Lei , Ziyuan Yang , Yi Zhang

Adversarial images are designed to mislead deep neural networks (DNNs), attracting great attention in recent years. Although several defense strategies achieved encouraging robustness against adversarial samples, most of them fail to…

机器学习 · 计算机科学 2020-02-25 Hang Yu , Aishan Liu , Xianglong Liu , Gengchao Li , Ping Luo , Ran Cheng , Jichen Yang , Chongzhi Zhang

Despite their success and widespread adoption, the opaque nature of deep neural networks (DNNs) continues to hinder trust, especially in critical applications. Current interpretability solutions often yield inconsistent or oversimplified…

机器学习 · 计算机科学 2024-10-10 Alec F. Diallo , Vaishak Belle , Paul Patras

This survey provides a comprehensive exploration of applications of Topological Data Analysis (TDA) within neural network analysis. Using TDA tools such as persistent homology and Mapper, we delve into the intricate structures and behaviors…

机器学习 · 计算机科学 2024-01-04 Rubén Ballester , Carles Casacuberta , Sergio Escalera

Intermediate training of pre-trained transformer-based language models on domain-specific data leads to substantial gains for downstream tasks. To increase efficiency and prevent catastrophic forgetting alleviated from full domain-adaptive…

计算与语言 · 计算机科学 2023-05-23 Chia-Chien Hung , Lukas Lange , Jannik Strötgen

Deep neural networks (DNN) are black box algorithms. They are trained using a gradient descent back propagation technique which trains weights in each layer for the sole goal of minimizing training error. Hence, the resulting weights cannot…

机器学习 · 计算机科学 2018-11-05 Daniel Goldfarb

Deep neural networks have become widely used, obtaining remarkable results in domains such as computer vision, speech recognition, natural language processing, audio recognition, social network filtering, machine translation, and…

神经与进化计算 · 计算机科学 2020-02-03 Divya Gopinath , Guy Katz , Corina S. Pasareanu , Clark Barrett

Training certifiably robust neural networks remains a notoriously hard problem. On one side, adversarial training optimizes under-approximations of the worst-case loss, which leads to insufficient regularization for certification, while on…

机器学习 · 计算机科学 2023-10-26 Yuhao Mao , Mark Niklas Müller , Marc Fischer , Martin Vechev

The growing reliance on artificial intelligence in safety- and security-critical applications is raising concerns about the robustness of neural networks to erroneous or adversarial input. Certification is a methodology for ensuring model…

机器学习 · 计算机科学 2026-05-01 Anton Björklund , Mykola Zaitsev , Paolo Morettin , Marta Kwiatkowska

Recent works have demonstrated convolutional neural networks are vulnerable to adversarial examples, i.e., inputs to machine learning models that an attacker has intentionally designed to cause the models to make a mistake. To improve the…

计算机视觉与模式识别 · 计算机科学 2020-05-12 Xianxu Hou , Jingxin Liu , Bolei Xu , Xiaolong Wang , Bozhi Liu , Guoping Qiu

Topological data analysis (TDA) is a branch of computational mathematics, bridging algebraic topology and data science, that provides compact, noise-robust representations of complex structures. Deep neural networks (DNNs) learn millions of…

Neural networks are very successful at detecting patterns in noisy data, and have become the technology of choice in many fields. However, their usefulness is hampered by their susceptibility to adversarial attacks. Recently, many methods…

机器学习 · 计算机科学 2022-07-14 Marco Casadio , Ekaterina Komendantskaya , Matthew L. Daggitt , Wen Kokke , Guy Katz , Guy Amir , Idan Refaeli

Research on adversarial robustness is primarily focused on image and text data. Yet, many scenarios in which lack of robustness can result in serious risks, such as fraud detection, medical diagnosis, or recommender systems often do not…

机器学习 · 计算机科学 2023-12-14 Klim Kireev , Maksym Andriushchenko , Carmela Troncoso , Nicolas Flammarion
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