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Vampire has been for a long time the strongest first-order automatic theorem prover, widely used for hammer-style proof automation in ITPs such as Mizar, Isabelle, HOL, and Coq. In this work, we considerably improve the performance of…

人工智能 · 计算机科学 2021-05-12 Martin Suda

In this paper we propose a hypothesis about how different uses of maintaining dragging, either as a physical tool in a dynamic geometry environment or as a psychological tool for generating conjectures can influence subsequent processes of…

历史与综述 · 数学 2016-05-10 Anna Baccaglini-Frank , Samuele Antonini

A fundamental computation for statistical inference and accurate decision-making is to compute the marginal probabilities or most probable states of task-relevant variables. Probabilistic graphical models can efficiently represent the…

机器学习 · 计算机科学 2019-06-28 KiJung Yoon , Renjie Liao , Yuwen Xiong , Lisa Zhang , Ethan Fetaya , Raquel Urtasun , Richard Zemel , Xaq Pitkow

Cognitive architectures are influential, integrated computational frameworks for modeling cognitive processes. Due to a variety of factors, however, researchers using cognitive architectures to explain and predict human performance rarely…

神经元与认知 · 定量生物学 2024-10-24 Andrea Stocco , Konstantinos Mitsopoulos , Yuxue C. Yang , Holly S. Hake , Theodros Haile , Bridget Leonard , Kevin Gluck

Understanding how machine learning models respond to distributional shifts is a key research challenge. Mazes serve as an excellent testbed due to varied generation algorithms offering a nuanced platform to simulate both subtle and…

Meta-learning consists in learning learning algorithms. We use a Long Short Term Memory (LSTM) based network to learn to compute on-line updates of the parameters of another neural network. These parameters are stored in the cell state of…

机器学习 · 计算机科学 2016-10-20 Tom Bosc

Language Generation Models produce words based on the previous context. Although existing methods offer input attributions as explanations for a model's prediction, it is still unclear how prior words affect the model's decision throughout…

计算与语言 · 计算机科学 2023-05-23 Javier Ferrando , Gerard I. Gállego , Ioannis Tsiamas , Marta R. Costa-jussà

We develop a self-learning approach for conjecturing of induction predicates on a dataset of 16197 problems derived from the OEIS. These problems are hard for today's SMT and ATP systems because they require a combination of inductive and…

人工智能 · 计算机科学 2025-03-04 Thibault Gauthier , Josef Urban

Many inductive logic programming (ILP) methods are incapable of learning programs from probabilistic background knowledge, e.g. coming from sensory data or neural networks with probabilities. We propose Propper, which handles flawed and…

人工智能 · 计算机科学 2024-09-23 Fieke Hillerstrom , Gertjan Burghouts

The extent to which neural networks are able to acquire and represent symbolic rules remains a key topic of research and debate. Much current work focuses on the impressive capabilities of large language models, as well as their often…

机器学习 · 计算机科学 2025-06-11 Anna Langedijk , Jaap Jumelet , Willem Zuidema

Transformers are deep neural network architectures that underpin the recent successes of large language models. Unlike more classical architectures that can be viewed as point-to-point maps, a Transformer acts as a measure-to-measure map…

最优化与控制 · 数学 2026-02-16 Borjan Geshkovski , Philippe Rigollet , Domènec Ruiz-Balet

It has been found that Transformer-based language models have the ability to perform basic quantitative reasoning. In this paper, we propose a method for studying how these models internally represent numerical data, and use our proposal to…

计算与语言 · 计算机科学 2024-04-26 Ulme Wennberg , Gustav Eje Henter

The main problem about replacing LTP as a memory mechanism has been to find other highly abstract, easily understandable principles for induced plasticity. In this paper we attempt to lay out such a basic mechanism, namely intrinsic…

神经元与认知 · 定量生物学 2014-05-13 Gabriele Scheler

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…

计算机科学中的逻辑 · 计算机科学 2021-07-22 Karel Chvalovský , Jan Jakubův , Miroslav Olšák , Josef Urban

We present the first experimental demonstration of a neuromorphic network with magnetic tunnel junction (MTJ) synapses, which performs image recognition via vector-matrix multiplication. We also simulate a large MTJ network performing MNIST…

神经与进化计算 · 计算机科学 2021-12-15 Peng Zhou , Alexander J. Edwards , Fred B. Mancoff , Dimitri Houssameddine , Sanjeev Aggarwal , Joseph S. Friedman

We describe an implementation of gradient boosting and neural guidance of saturation-style automated theorem provers that does not depend on consistent symbol names across problems. For the gradient-boosting guidance, we manually create…

人工智能 · 计算机科学 2020-04-29 Jan Jakubův , Karel Chvalovský , Miroslav Olšák , Bartosz Piotrowski , Martin Suda , Josef Urban

A longstanding question in cognitive science concerns the learning mechanisms underlying compositionality in human cognition. Humans can infer the structured relationships (e.g., grammatical rules) implicit in their sensory observations…

机器学习 · 计算机科学 2021-05-20 Jacob Russin , Roland Fernandez , Hamid Palangi , Eric Rosen , Nebojsa Jojic , Paul Smolensky , Jianfeng Gao

In this paper, a Neural network is derived from first principles, assuming only that each layer begins with a linear dimension-reducing transformation. The approach appeals to the principle of Maximum Entropy (MaxEnt) to find the posterior…

机器学习 · 统计学 2020-02-19 Paul M Baggenstoss

In this document, a neural network is employed in order to estimate the solution of the initial value problem in the context of non linear trajectories. Such trajectories can be subject to gravity, thrust, drag, centrifugal force,…

机器学习 · 计算机科学 2021-07-21 Theodoros Ntakouris