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We characterize the computational power of neural networks that follow the graph neural network (GNN) architecture, not restricted to aggregate-combine GNNs or other particular types. We establish an exact correspondence between the…

机器学习 · 计算机科学 2024-11-22 Timon Barlag , Vivian Holzapfel , Laura Strieker , Jonni Virtema , Heribert Vollmer

This paper offers a new perspective on Artificial Neural Networks (ANNs) architecture. Traditional ANNs commonly use tree-like or DAG structures for simplicity, which can be preset or determined by Neural Architecture Search (NAS). Yet,…

机器学习 · 计算机科学 2025-06-05 Xinshun Liu , Yizhi Fang , Yichao Jiang

Neural Algorithmic Reasoning (NAR) is a research area focused on designing neural architectures that can reliably capture classical computation, usually by learning to execute algorithms. A typical approach is to rely on Graph Neural…

机器学习 · 计算机科学 2024-04-30 Vladimir V. Mirjanić , Razvan Pascanu , Petar Veličković

Gated recurrent units (GRUs) are specialized memory elements for building recurrent neural networks. Despite their incredible success on various tasks, including extracting dynamics underlying neural data, little is understood about the…

机器学习 · 计算机科学 2021-07-30 Ian D. Jordan , Piotr Aleksander Sokol , Il Memming Park

Graph Neural Networks (GNNs), neural network architectures targeted to learning representations of graphs, have become a popular learning model for prediction tasks on nodes, graphs and configurations of points, with wide success in…

机器学习 · 计算机科学 2022-04-19 Stefanie Jegelka

Traditional neural networks assume vectorial inputs as the network is arranged as layers of single line of computing units called neurons. This special structure requires the non-vectorial inputs such as matrices to be converted into…

机器学习 · 计算机科学 2016-12-12 Junbin Gao , Yi Guo , Zhiyong Wang

Over the past few years, neural networks have re-emerged as powerful machine-learning models, yielding state-of-the-art results in fields such as image recognition and speech processing. More recently, neural network models started to be…

计算与语言 · 计算机科学 2015-10-06 Yoav Goldberg

The capability of making interpretable and self-explanatory decisions is essential for developing responsible machine learning systems. In this work, we study the learning to explain problem in the scope of inductive logic programming…

人工智能 · 计算机科学 2020-02-20 Yuan Yang , Le Song

The limited priors required by neural networks make them the dominating choice to encode and learn policies using reinforcement learning (RL). However, they are also black-boxes, making it hard to understand the agent's behaviour,…

机器学习 · 计算机科学 2023-10-26 Quentin Delfosse , Hikaru Shindo , Devendra Dhami , Kristian Kersting

Today, the dominant paradigm for training neural networks involves minimizing task loss on a large dataset. Using world knowledge to inform a model, and yet retain the ability to perform end-to-end training remains an open question. In this…

机器学习 · 计算机科学 2020-08-21 Tao Li , Vivek Srikumar

Over the last decade, as we rely more on deep learning technologies to make critical decisions, concerns regarding their safety, reliability and interpretability have emerged. We introduce a novel Neural Argumentative Learning (NAL)…

We study how neural networks trained by gradient descent extrapolate, i.e., what they learn outside the support of the training distribution. Previous works report mixed empirical results when extrapolating with neural networks: while…

机器学习 · 计算机科学 2021-03-04 Keyulu Xu , Mozhi Zhang , Jingling Li , Simon S. Du , Ken-ichi Kawarabayashi , Stefanie Jegelka

Learning with neural networks relies on the complexity of the representable functions, but more importantly, the particular assignment of typical parameters to functions of different complexity. Taking the number of activation regions as a…

机器学习 · 统计学 2021-12-17 Hanna Tseran , Guido Montúfar

Logical relations widely exist in human activities. Human use them for making judgement and decision according to various conditions, which are embodied in the form of \emph{if-then} rules. As an important kind of cognitive intelligence, it…

神经与进化计算 · 计算机科学 2021-06-23 Gang Wang

Neural networks have a reputation for being better at solving statistical or approximate problems than at performing calculations or working with symbolic data. In this paper, we show that they can be surprisingly good at more elaborated…

符号计算 · 计算机科学 2019-12-04 Guillaume Lample , François Charton

With the advancement of deep learning, reducing computational complexity and memory consumption has become a critical challenge, and ternary neural networks (NNs) that restrict parameters to $\{-1, 0, +1\}$ have attracted attention as a…

机器学习 · 计算机科学 2026-04-28 Yuta Nakahara , Manabu Kobayashi , Toshiyasu Matsushima

Neural networks are powerful function estimators, leading to their status as a paradigm of choice for modeling structured data. However, unlike other structured representations that emphasize the modularity of the problem -- e.g., factor…

机器学习 · 计算机科学 2022-06-20 Tsvetomila Mihaylova , Vlad Niculae , André F. T. Martins

A better understanding of the emergent computation and problem-solving capabilities of recent large language models is of paramount importance to further improve them and broaden their applicability. This work investigates how a language…

人工智能 · 计算机科学 2024-08-05 Davide Maltoni , Matteo Ferrara

Recent studies have highlighted the limitations of large language models in mathematical reasoning, particularly their inability to capture the underlying logic. Inspired by meta-learning, we propose that models should acquire not only…

计算与语言 · 计算机科学 2024-12-19 Kejie Chen , Lin Wang , Qinghai Zhang , Renjun Xu

A popular approach to neurosymbolic AI involves mapping logic formulas to arithmetic circuits (computation graphs consisting of sums and products) and passing the outputs of a neural network through these circuits. This approach enforces…

机器学习 · 计算机科学 2025-02-24 Jaron Maene , Vincent Derkinderen , Pedro Zuidberg Dos Martires