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Growing interest in modelling complex systems from brains to societies to cities using networks has led to increased efforts to describe generative processes that explain those networks. Recent successes in machine learning have prompted…

Neural and Evolutionary Computing · Computer Science 2024-01-12 Govind Gandhi

A major challenge in Explainable AI is in correctly interpreting activations of hidden neurons: accurate interpretations would help answer the question of what a deep learning system internally detects as relevant in the input, demystifying…

Artificial Intelligence · Computer Science 2026-02-23 Abhilekha Dalal , Rushrukh Rayan , Adrita Barua , Eugene Y. Vasserman , Md Kamruzzaman Sarker , Pascal Hitzler

Faithfully summarizing the knowledge encoded by a deep neural network (DNN) into a few symbolic primitive patterns without losing much information represents a core challenge in explainable AI. To this end, Ren et al. (2024) have derived a…

Machine Learning · Computer Science 2024-09-16 Lu Chen , Siyu Lou , Benhao Huang , Quanshi Zhang

As the number of deep learning frameworks increase and certain ones gain popularity, it spurs the discussion of what methodologies are employed by these frameworks and the reasoning behind them. The goal of this survey is to study how…

Programming Languages · Computer Science 2020-10-07 Belinda Fang , Elaine Yang , Fei Xie

Integrated interpretability without sacrificing the prediction accuracy of decision making algorithms has the potential of greatly improving their value to the user. Instead of assigning a label to an image directly, we propose to learn…

Machine Learning · Computer Science 2021-04-13 Stephan Alaniz , Diego Marcos , Bernt Schiele , Zeynep Akata

Given the complexity and lack of transparency in deep neural networks (DNNs), extensive efforts have been made to make these systems more interpretable or explain their behaviors in accessible terms. Unlike most reviews, which focus on…

Artificial Intelligence · Computer Science 2024-01-17 Haoyi Xiong , Xuhong Li , Xiaofei Zhang , Jiamin Chen , Xinhao Sun , Yuchen Li , Zeyi Sun , Mengnan Du

This study aims to prove the emergence of symbolic concepts (or more precisely, sparse primitive inference patterns) in well-trained deep neural networks (DNNs). Specifically, we prove the following three conditions for the emergence. (i)…

Machine Learning · Computer Science 2024-09-16 Qihan Ren , Jiayang Gao , Wen Shen , Quanshi Zhang

We present a complete theoretical and empirical framework establishing feedforward neural networks as universal finite-state machines (N-FSMs). Our results prove that finite-depth ReLU and threshold networks can exactly simulate…

Machine Learning · Computer Science 2025-05-30 Sahil Rajesh Dhayalkar

Deep neural networks (DNNs) are powerful black-box predictors that have achieved impressive performance on a wide variety of tasks. However, their accuracy comes at the cost of intelligibility: it is usually unclear how they make their…

Machine Learning · Computer Science 2021-10-26 Rishabh Agarwal , Levi Melnick , Nicholas Frosst , Xuezhou Zhang , Ben Lengerich , Rich Caruana , Geoffrey Hinton

The widespread use of deep neural networks has achieved substantial success in many tasks. However, there still exists a huge gap between the operating mechanism of deep learning models and human-understandable decision making, so that…

Artificial Intelligence · Computer Science 2021-03-08 Xiaowei Zhou , Jie Yin , Ivor Tsang , Chen Wang

We present techniques for automatically inferring formal properties of feed-forward neural networks. We observe that a significant part (if not all) of the logic of feed forward networks is captured in the activation status ('on' or 'off')…

Machine Learning · Computer Science 2020-09-14 Divya Gopinath , Hayes Converse , Corina S. Pasareanu , Ankur Taly

In science, we are interested not only in forecasting but also in understanding how predictions are made, specifically what the interpretable underlying model looks like. Data-driven machine learning technology can significantly streamline…

Symbolic Computation · Computer Science 2025-05-29 Weiting Liu , Jiaxu Cui , Jiao Hu , En Wang , Bo Yang

One of the ultimate goals of Artificial Intelligence is to assist humans in complex decision making. A promising direction for achieving this goal is Neuro-Symbolic AI, which aims to combine the interpretability of symbolic techniques with…

Artificial Intelligence · Computer Science 2024-02-06 Daniel Cunnington , Mark Law , Jorge Lobo , Alessandra Russo

In social science, formal and quantitative models, such as ones describing economic growth and collective action, are used to formulate mechanistic explanations, provide predictions, and uncover questions about observed phenomena. Here, we…

Symbolic Computation · Computer Science 2023-08-17 Julia Balla , Sihao Huang , Owen Dugan , Rumen Dangovski , Marin Soljacic

While deep neural networks (DNNs) have become a standard architecture for many machine learning tasks, their internal decision-making process and general interpretability is still poorly understood. Conversely, common decision trees are…

Machine Learning · Computer Science 2022-02-02 Coenraad Mouton , Marelie H. Davel

Explainable Artificial Intelligence (xAI) has the potential to enhance the transparency and trust of AI-based systems. Although accurate predictions can be made using Deep Neural Networks (DNNs), the process used to arrive at such…

Computer Vision and Pattern Recognition · Computer Science 2024-08-09 Bhushan Atote , Victor Sanchez

Deep Neural Networks (DNN) are increasingly used in a variety of applications, many of them with substantial safety and security concerns. This paper introduces DeepCheck, a new approach for validating DNNs based on core ideas from program…

Software Engineering · Computer Science 2018-07-30 Divya Gopinath , Kaiyuan Wang , Mengshi Zhang , Corina S. Pasareanu , Sarfraz Khurshid

Sequences and time-series often arise in robot tasks, e.g., in activity recognition and imitation learning. In recent years, deep neural networks (DNNs) have emerged as an effective data-driven methodology for processing sequences given…

Artificial Intelligence · Computer Science 2021-01-29 Yaqi Xie , Fan Zhou , Harold Soh

Recent progress in deep reinforcement learning (DRL) can be largely attributed to the use of neural networks. However, this black-box approach fails to explain the learned policy in a human understandable way. To address this challenge and…

Artificial Intelligence · Computer Science 2021-03-17 Zhihao Ma , Yuzheng Zhuang , Paul Weng , Hankz Hankui Zhuo , Dong Li , Wulong Liu , Jianye Hao

Neurosymbolic systems promise to combine deep neural network's (DNN) processing of raw sensor inputs with few-shot performance of symbolic artificial intelligence. Two-stage approaches explicitly decouple DNN based perception from…

Machine Learning · Computer Science 2026-05-12 Sparsh Tiwari , Bettina Finzel , Gesina Schwalbe
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