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We describe two systems for supporting beginner students in acquiring basic skills in expressing statements in the formalism of first-order predicate logic; the first, called "math dictations", presents users with the task of formalizing a…

Logic · Mathematics 2020-07-10 Merlin Carl

The process of doing Science in condition of uncertainty is illustrated with a toy experiment in which the inferential and the forecasting aspects are both present. The fundamental aspects of probabilistic reasoning, also relevant in real…

History and Overview · Mathematics 2018-02-07 Giulio D'Agostini

The prevalence of online platforms and studies has generated the demand for automated grading tools, and as a result, there are plenty in the market. Such tools are developed to grade coding assignments quickly, accurately, and…

Computers and Society · Computer Science 2022-12-06 Aditi Agrawal , Benjamin Reed

We propose Composition Sampling, a simple but effective method to generate diverse outputs for conditional generation of higher quality compared to previous stochastic decoding strategies. It builds on recently proposed plan-based neural…

Computation and Language · Computer Science 2022-03-30 Shashi Narayan , Gonçalo Simões , Yao Zhao , Joshua Maynez , Dipanjan Das , Michael Collins , Mirella Lapata

Probabilistic epistemic argumentation allows for reasoning about argumentation problems in a way that is well founded by probability theory. Epistemic states are represented by probability functions over possible worlds and can be adjusted…

Artificial Intelligence · Computer Science 2019-06-13 Nico Potyka , Sylwia Polberg , Anthony Hunter

Optimizing the phrasing of argumentative text is crucial in higher education and professional development. However, assessing whether and how the different claims in a text should be revised is a hard task, especially for novice writers. In…

Computation and Language · Computer Science 2023-05-29 Gabriella Skitalinskaya , Henning Wachsmuth

Explainable recommendation has shown its great advantages for improving recommendation persuasiveness, user satisfaction, system transparency, among others. A fundamental problem of explainable recommendation is how to evaluate the…

Information Retrieval · Computer Science 2022-02-15 Xu Chen , Yongfeng Zhang , Ji-Rong Wen

Fact-checking is the process of evaluating the veracity of claims (i.e., purported facts). In this opinion piece, we raise an issue that has received little attention in prior work -- that some claims are far more difficult to fact-check…

Computation and Language · Computer Science 2022-02-08 Prakhar Singh , Anubrata Das , Junyi Jessy Li , Matthew Lease

This paper describes a universal model for paraphrasing that transforms according to defined criteria. We showed that by using different criteria we could construct different kinds of paraphrasing systems including one for answering…

Computation and Language · Computer Science 2007-05-23 Masaki Murata , Hitoshi Isahara

This paper is more an essay than a report. There is a gentle introduction to some issues in modeling, followed by the use of steepest descent methods to develop a model as contrasted to using such methods to solve one already in hand, as in…

Dynamical Systems · Mathematics 2015-04-07 Nikolas O. Aksamit , Don H. Tucker , James F. Tucker

Preconditioning is essential in iterative methods for solving linear systems. It is also the implicit objective in updating approximations of Jacobians in optimization methods, e.g.,in quasi-Newton methods. Motivated by the latter, we study…

Numerical Analysis · Mathematics 2024-12-24 Woosuk L. Jung , David Torregrosa-Belén , Henry Wolkowicz

How can we build recommender systems to take into account fairness? Real-world recommender systems are often composed of multiple models, built by multiple teams. However, most research on fairness focuses on improving fairness in a single…

Machine Learning · Computer Science 2021-01-27 Xuezhi Wang , Nithum Thain , Anu Sinha , Flavien Prost , Ed H. Chi , Jilin Chen , Alex Beutel

Abductive reasoning is a popular non-monotonic paradigm that aims to explain observed symptoms and manifestations. It has many applications, such as diagnosis and planning in artificial intelligence and database updates. In propositional…

Artificial Intelligence · Computer Science 2026-01-14 Johannes Schmidt , Mohamed Maizia , Victor Lagerkvist , Johannes K. Fichte

We review the theory of renewal reward processes, which describes renewal processes that have some cost or reward associated with each cycle. We present a new simplified proof of the renewal reward theorem that mimics the proof of the…

Probability · Mathematics 2014-04-23 Maria Vlasiou

Probabilistic puzzles can be confusing, partly because they are formulated in natural languages - full of unclarities and ambiguities - and partly because there is no widely accepted and intuitive formal language to express them. We propose…

Logic in Computer Science · Computer Science 2025-04-11 Elena Di Lavore , Bart Jacobs , Mario Román

In functional programming languages, the classic form of annotation is a single type constraint on a term. Intersection types add complications: a single term may have to be checked several times against different types, in different…

Programming Languages · Computer Science 2021-03-24 Jana Dunfield

Conditional question answering (CQA) is an important task that aims to find probable answers and identify missing conditions. Existing approaches struggle with CQA due to two challenges: (1) precisely identifying necessary conditions and…

Computation and Language · Computer Science 2024-10-07 Jiuheng Lin , Yuxuan Lai , Yansong Feng

Training a model with access to human explanations can improve data efficiency and model performance on in- and out-of-domain data. Adding to these empirical findings, similarity with the process of human learning makes learning from…

Computation and Language · Computer Science 2022-04-20 Mareike Hartmann , Daniel Sonntag

Systems of fixpoint equations over complete lattices, consisting of (mixed) least and greatest fixpoint equations, allow one to express a number of verification tasks such as model-checking of various kinds of specification logics or the…

Logic in Computer Science · Computer Science 2021-06-21 Paolo Baldan , Barbara König , Tommaso Padoan

Machine learning is increasingly being used to generate prediction models for use in a number of real-world settings, from credit risk assessment to clinical decision support. Recent discussions have highlighted potential problems in the…

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