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We describe an efficient implementation of clause guidance in saturation-based automated theorem provers extending the ENIGMA approach. Unlike in the first ENIGMA implementation where fast linear classifier is trained and used together with…

Artificial Intelligence · Computer Science 2019-03-11 Karel Chvalovský , Jan Jakubův , Martin Suda , Josef Urban

ENIGMA is a learning-based method for guiding given clause selection in saturation-based theorem provers. Clauses from many proof searches are classified as positive and negative based on their participation in the proofs. An efficient…

Logic in Computer Science · Computer Science 2017-01-25 Jan Jakubův , Josef Urban

Saturation-style automated theorem provers (ATPs) based on the given clause procedure are today the strongest general reasoners for classical first-order logic. The clause selection heuristics in such systems are, however, often evaluating…

Logic in Computer Science · Computer Science 2021-07-22 Karel Chvalovský , Jan Jakubův , Miroslav Olšák , Josef Urban

We re-examine the topic of machine-learned clause selection guidance in saturation-based theorem provers. The central idea, recently popularized by the ENIGMA system, is to learn a classifier for recognizing clauses that appeared in…

Artificial Intelligence · Computer Science 2021-04-15 Martin Suda

In this work in progress, we demonstrate a new use-case for the ENIGMA system. The ENIGMA system using the XGBoost implementation of gradient boosted decision trees has demonstrated high capability to learn to guide the E theorem prover's…

Artificial Intelligence · Computer Science 2020-04-21 Zarathustra Amadeus Goertzel

We describe several additions to the ENIGMA system that guides clause selection in the E automated theorem prover. First, we significantly speed up its neural guidance by adding server-based GPU evaluation. The second addition is motivated…

Artificial Intelligence · Computer Science 2021-07-16 Zarathustra Goertzel , Karel Chvalovský , Jan Jakubův , Miroslav Olšák , Josef Urban

In this work we describe a new learning-based proof guidance -- ENIGMAWatch -- for saturation-style first-order theorem provers. ENIGMAWatch combines two guiding approaches for the given-clause selection implemented for the E ATP system:…

Artificial Intelligence · Computer Science 2019-08-26 Zarathustra Goertzel , Jan Jakubův , Josef Urban

This work studies ensemble learning for graph neural networks (GNNs) under the popular semi-supervised setting. Ensemble learning has shown superiority in improving the accuracy and robustness of traditional machine learning by combining…

Machine Learning · Computer Science 2024-05-07 Xin Zhang , Daochen Zha , Qiaoyu Tan

We develop a general approach to distill symbolic representations of a learned deep model by introducing strong inductive biases. We focus on Graph Neural Networks (GNNs). The technique works as follows: we first encourage sparse latent…

Machine Learning · Computer Science 2020-11-19 Miles Cranmer , Alvaro Sanchez-Gonzalez , Peter Battaglia , Rui Xu , Kyle Cranmer , David Spergel , Shirley Ho

Graph representation learning is a fundamental research issue in various domains of applications, of which the inductive learning problem is particularly challenging as it requires models to generalize to unseen graph structures during…

Machine Learning · Computer Science 2024-03-27 Hanxuan Yang , Zhaoxin Yu , Qingchao Kong , Wei Liu , Wenji Mao

While the popularity of physics-informed neural networks (PINNs) is steadily rising, to this date, PINNs have not been successful in simulating multi-scale and singular perturbation problems. In this work, we present a new training paradigm…

Machine Learning · Computer Science 2024-03-27 Zhiwei Fang , Sifan Wang , Paris Perdikaris

Graph Neural Networks (GNNs) are widely used deep learning models that learn meaningful representations from graph-structured data. Due to the finite nature of the underlying recurrent structure, current GNN methods may struggle to capture…

Machine Learning · Computer Science 2021-06-02 Fangda Gu , Heng Chang , Wenwu Zhu , Somayeh Sojoudi , Laurent El Ghaoui

Graph neural networks (GNNs) are increasingly often employed in high-stakes applications, such as fraud detection or healthcare, but are susceptible to adversarial attacks. A number of techniques have been proposed to provide adversarial…

Machine Learning · Computer Science 2026-05-14 Minghao Liu , Chia-Hsuan Lu , Marta Kwiatkowska

Prompt tuning methods for Graph Neural Networks (GNNs) have become popular to address the semantic gap between pre-training and fine-tuning steps. However, existing GNN prompting methods rely on labeled data and involve lightweight…

Machine Learning · Computer Science 2025-05-23 Peyman Baghershahi , Sourav Medya

GraphRAG conditions language models on subgraphs retrieved from knowledge graphs, encoded via message-passing GNNs. Because these encoders entangle node contributions through iterated neighborhood aggregation, there is no closed-form way to…

Machine Learning · Computer Science 2026-05-22 Yoav Kor Sade , Arvindh Arun , Rishi Puri , Steffen Staab , Maya Bechler-Speicher

Graph Neural Networks (GNNs) have recently been used for node and graph classification tasks with great success, but GNNs model dependencies among the attributes of nearby neighboring nodes rather than dependencies among observed node…

Machine Learning · Computer Science 2020-09-30 Mengyue Hang , Jennifer Neville , Bruno Ribeiro

Graph neural networks (GNNs) are widely used for modelling graph-structured data in numerous applications. However, with their inherently finite aggregation layers, existing GNN models may not be able to effectively capture long-range…

Machine Learning · Computer Science 2022-02-23 Juncheng Liu , Kenji Kawaguchi , Bryan Hooi , Yiwei Wang , Xiaokui Xiao

In this paper, we propose a novel framework to automatically utilize task-dependent semantic information which is encoded in heterogeneous information networks (HINs). Specifically, we search for a meta graph, which can capture more complex…

Machine Learning · Computer Science 2021-09-28 Yuhui Ding , Quanming Yao , Huan Zhao , Tong Zhang

As a special field in deep learning, Graph Neural Networks (GNNs) focus on extracting intrinsic network features and have drawn unprecedented popularity in both academia and industry. Most of the state-of-the-art GNN models offer…

Machine Learning · Computer Science 2021-08-17 Qinyi Zhu , Yiou Xiao

Practitioners apply neural networks to increasingly complex problems in natural language processing, such as syntactic parsing and semantic role labeling that have rich output structures. Many such structured-prediction problems require…

Computation and Language · Computer Science 2019-04-23 Jay Yoon Lee , Sanket Vaibhav Mehta , Michael Wick , Jean-Baptiste Tristan , Jaime Carbonell
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