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We consider the problem of answering queries about formulas of first-order logic based on background knowledge partially represented explicitly as other formulas, and partially represented as examples independently drawn from a fixed…

人工智能 · 计算机科学 2019-06-25 Vaishak Belle , Brendan Juba

Large language models have been successful at tasks involving basic forms of in-context reasoning, such as generating coherent language, as well as storing vast amounts of knowledge. At the core of the Transformer architecture behind such…

机器学习 · 计算机科学 2025-03-10 Lei Chen , Joan Bruna , Alberto Bietti

The properties of the normal distribution under linear transformation, as well the easy way to compute the covariance matrix of marginals and conditionals, offer a unique opportunity to get an insight about several aspects of uncertainties…

数据分析、统计与概率 · 物理学 2018-02-12 Giulio D'Agostini

Large Language Models have achieved remarkable performance on reasoning tasks, motivating research into how this ability evolves during training. Prior work has primarily analyzed this evolution via explicit generation outcomes, treating…

计算与语言 · 计算机科学 2026-02-03 Siyuan Zhang , Jialian Li , Yichi Zhang , Xiao Yang , Yinpeng Dong , Hang Su

We propose a statistical method to test whether two phylogenetic trees with given alignments are significantly incongruent. Our method compares the two distributions of phylogenetic trees given by the input alignments, instead of comparing…

种群与进化 · 定量生物学 2010-04-14 Elissaveta Arnaoudova , David Haws , Peter Huggins , Jerzy W. Jaromczyk , Neil Moore , Chris Schardl , Ruriko Yoshida

Reasoning about degrees of belief in uncertain dynamic worlds is fundamental to many applications, such as robotics and planning, where actions modify state properties and sensors provide measurements, both of which are prone to noise. With…

人工智能 · 计算机科学 2013-09-27 Vaishak Belle , Hector Levesque

Constraint propagation algorithms implement logical inference. For efficiency, it is essential to control whether and in what order basic inference steps are taken. We provide a high-level framework that clearly differentiates between…

编程语言 · 计算机科学 2007-05-23 Sebastian Brand , Roland H. C. Yap

Transfer learning involves taking information and insight from one problem domain and applying it to a new problem domain. Although widely used in practice, theory for transfer learning remains less well-developed. To address this, we prove…

机器学习 · 统计学 2020-06-24 Jake Williams , Abel Tadesse , Tyler Sam , Huey Sun , George D. Montanez

Reasoning with defeasible and conflicting knowledge in an argumentative form is a key research field in computational argumentation. Reasoning under various forms of uncertainty is both a key feature and a challenging barrier for automated…

人工智能 · 计算机科学 2024-07-09 Andrei Popescu , Johannes P. Wallner

The hierarchical and recursive expressive capability of rooted trees is applicable to represent statistical models in various areas, such as data compression, image processing, and machine learning. On the other hand, such hierarchical…

机器学习 · 计算机科学 2022-01-25 Yuta Nakahara , Shota Saito , Akira Kamatsuka , Toshiyasu Matsushima

I think we can agree that dealing with uncertainty is not easy. Probability is the main tool for dealing with uncertainty, and we know there are many probability-related puzzles and paradoxes. Here I describe a rather idiosyncratic…

其他统计学 · 统计学 2022-01-19 Yudi Pawitan

Aided by technology, people are increasingly able to communicate across geographical, cultural, and language barriers. This ability also results in new challenges, as interlocutors need to adapt their communication approaches to…

计算与语言 · 计算机科学 2020-12-02 Liye Fu , Susan R. Fussell , Cristian Danescu-Niculescu-Mizil

Classical planning asks for a sequence of operators reaching a given goal. While the most common case is to compute a plan, many scenarios require more than that. However, quantitative reasoning on the plan space remains mostly unexplored.…

人工智能 · 计算机科学 2025-02-04 David Speck , Markus Hecher , Daniel Gnad , Johannes K. Fichte , Augusto B. Corrêa

The traditional theoretical statistics course which develops the theoretical underpinnings of the discipline (usually following a probability course) is undergoing near-continuous revision in the statistics community. In particular, recent…

其他统计学 · 统计学 2016-12-08 Amy Wagaman

Gaussian processes are a powerful framework for quantifying uncertainty and for sequential decision-making but are limited by the requirement of solving linear systems. In general, this has a cubic cost in dataset size and is sensitive to…

Using Machine Learning systems in the real world can often be problematic, with inexplicable black-box models, the assumed certainty of imperfect measurements, or providing a single classification instead of a probability distribution. This…

机器学习 · 计算机科学 2023-07-11 Jonathan S. Kent , David H. Menager

The paper demonstrates that strict adherence to probability theory does not preclude the use of concurrent, self-activated constraint-propagation mechanisms for managing uncertainty. Maintaining local records of sources-of-belief allows…

人工智能 · 计算机科学 2013-04-15 Judea Pearl

Covariational reasoning -- how one thinks about the way changes in one quantity affect another quantity -- is essential to calculus and physics instruction alike. As physics is often centered on understanding and predicting changes in…

物理教育 · 物理学 2019-11-20 Charlotte Zimmerman , Alexis Olsho , Michael Loverude , Suzanne White Brahmia

Transfer learning, also referred as knowledge transfer, aims at reusing knowledge from a source dataset to a similar target one. While many empirical studies illustrate the benefits of transfer learning, few theoretical results are…

One of the capabilities which 21st-century skill compulsory a person is critical thinking and problem-solving skill that becomes top positions rank. Focus on problem-solving skills can be taught to a child, especially begun in elementary…

计算机与社会 · 计算机科学 2020-07-09 Andik Asmara