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Rule-based explanation methods offer rigorous and globally interpretable insights into neural network behavior. However, existing approaches are mostly limited to small fully connected networks and depend on costly layerwise rule extraction…

Machine Learning · Computer Science 2025-10-16 Chuqin Geng , Anqi Xing , Li Zhang , Ziyu Zhao , Yuhe Jiang , Xujie Si

Neural Module Networks, originally proposed for the task of visual question answering, are a class of neural network architectures that involve human-specified neural modules, each designed for a specific form of reasoning. In current…

Machine Learning · Computer Science 2019-11-11 Vardaan Pahuja , Jie Fu , Sarath Chandar , Christopher J. Pal

TensorFlow is a machine learning system that operates at large scale and in heterogeneous environments. TensorFlow uses dataflow graphs to represent computation, shared state, and the operations that mutate that state. It maps the nodes of…

Graph neural networks (GNNs) are highly effective on a variety of graph-related tasks; however, they lack interpretability and transparency. Current explainability approaches are typically local and treat GNNs as black-boxes. They do not…

Machine Learning · Computer Science 2023-03-10 Han Xuanyuan , Pietro Barbiero , Dobrik Georgiev , Lucie Charlotte Magister , Pietro Lió

Despite significant progress, multimodal large language models continue to struggle with visual mathematical problem solving. Some recent works recognize that visual perception is a bottleneck in visual mathematical reasoning, but their…

Computer Vision and Pattern Recognition · Computer Science 2026-02-25 Shuhang Chen , Yunqiu Xu , Junjie Xie , Aojun Lu , Tao Feng , Zeying Huang , Ning Zhang , Yi Sun , Yi Yang , Hangjie Yuan

Most efforts in interpretability in deep learning have focused on (1) extracting explanations of a specific downstream task in relation to the input features and (2) imposing constraints on the model, often at the expense of predictive…

Machine Learning · Computer Science 2022-02-22 Marco Bertolini , Djork-Arné Clevert , Floriane Montanari

Partially Supervised Multi-Task Learning (PS-MTL) aims to leverage knowledge across tasks when annotations are incomplete. Existing approaches, however, have largely focused on the simpler setting of homogeneous, dense prediction tasks,…

Computer Vision and Pattern Recognition · Computer Science 2026-03-17 Fangzhou Lin , Yuping Wang , Yuliang Guo , Zixun Huang , Xinyu Huang , Haichong Zhang , Kazunori Yamada , Zhengzhong Tu , Liu Ren , Ziming Zhang

Deep neural networks, despite their success in numerous applications, often function without established theoretical foundations. In this paper, we bridge this gap by drawing parallels between deep learning and classical numerical analysis.…

Machine Learning · Computer Science 2023-10-04 Emanuele Zappala , Daniel Levine , Sizhuang He , Syed Rizvi , Sacha Levy , David van Dijk

Deciphering the underpinnings of the dynamical processes leading to information transmission, processing, and storing in the brain is a crucial challenge in neuroscience. An inspiring but speculative theoretical idea is that such dynamics…

Statistical Mechanics · Physics 2023-07-21 Guillermo B. Morales , Serena Di Santo , Miguel A. Muñoz

Neural Ordinary Differential Equations (NODEs) often struggle to adapt to new dynamic behaviors caused by parameter changes in the underlying physical system, even when these dynamics are similar to previously observed behaviors. This…

Machine Learning · Computer Science 2025-09-30 Roussel Desmond Nzoyem , David A. W. Barton , Tom Deakin

Several approaches to cognition and intelligence research rely on statistics-based models testing, namely factor analysis. In the present work we exploit the emerging dynamical systems perspective putting the focus on the role of the…

Physics and Society · Physics 2018-03-15 Gemma Rosell-Tarragó , Emanuele Cozzo , Albert Díaz-Guilera

Large reasoning models (LRMs) generate complex reasoning traces with planning, reflection, verification, and backtracking. In this work, we introduce ReasoningFlow, a unified schema for analyzing the semantic structures of these complex…

Computation and Language · Computer Science 2025-06-04 Jinu Lee , Sagnik Mukherjee , Dilek Hakkani-Tur , Julia Hockenmaier

Advancements in artificial intelligence call for a deeper understanding of the fundamental mechanisms underlying deep learning. In this work, we propose a theoretical framework to analyze learning dynamics through the lens of dynamical…

Machine Learning · Computer Science 2025-10-13 Yuchen Lin , Yong Zhang , Sihan Feng , Hong Zhao

The principles of neural encoding and computations are inherently collective and usually involve large populations of interacting neurons with highly correlated activities. While theories of neural function have long recognized the…

Neurons and Cognition · Quantitative Biology 2019-05-14 Christophe Gardella , Olivier Marre , Thierry Mora

Despite deep learning (DL) has achieved remarkable progress in various domains, the DL models are still prone to making mistakes. This issue necessitates effective debugging tools for DL practitioners to interpret the decision-making…

Computer Vision and Pattern Recognition · Computer Science 2023-10-18 Yeong-Joon Ju , Ji-Hoon Park , Seong-Whan Lee

This paper proposes to study neural networks through neuronal correlation, a statistical measure of correlated neuronal activity on the penultimate layer. We show that neuronal correlation can be efficiently estimated via weight matrix, can…

Machine Learning · Computer Science 2022-01-25 Gaojie Jin , Xinping Yi , Xiaowei Huang

Brain-computer interfaces surged extraordinary developments in recent years, and a significant discrepancy now exists between the abundance of available data and the limited headway made in achieving a unified theoretical framework. This…

In the brain, the structure of a network of neurons defines how these neurons implement the computations that underlie the mind and the behavior of animals and humans. Provided that we can describe the network of neurons as a graph, we can…

Computer Vision and Pattern Recognition · Computer Science 2019-07-03 Gustavo Borges Moreno e Mello , Vibeke Devold Valderhaug , Sidney Pontes-Filho , Evi Zouganeli , Ioanna Sandvig , Stefano Nichele

Deep neural networks are becoming more and more popular due to their revolutionary success in diverse areas, such as computer vision, natural language processing, and speech recognition. However, the decision-making processes of these…

Computation and Language · Computer Science 2021-10-15 Oana-Maria Camburu

Real-world scenarios demand reasoning about process, more than final outcome prediction, to discover latent causal chains and better understand complex systems. It requires the learning algorithms to offer both accurate predictions and…

Artificial Intelligence · Computer Science 2019-01-09 Xiaoran Xu , Songpeng Zu , Chengliang Gao , Yuan Zhang , Wei Feng
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