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We review the recent programme of using machine-learning to explore the landscape of mathematical problems. With this paradigm as a model for human intuition - complementary to and in contrast with the more formalistic approach of automated…

High Energy Physics - Theory · Physics 2022-02-15 Yang-Hui He

Large language models have recently shown promising progress in mathematical reasoning when fine-tuned with human-generated sequences walking through a sequence of solution steps. However, the solution sequences are not formally structured…

Machine Learning · Computer Science 2022-12-07 Andrew J. Nam , Mengye Ren , Chelsea Finn , James L. McClelland

Learning effective representations of sentences is one of the core missions of natural language understanding. Existing models either train on a vast amount of text, or require costly, manually curated sentence relation datasets. We show…

Computation and Language · Computer Science 2019-06-05 Allen Nie , Erin D. Bennett , Noah D. Goodman

Qualitative relationships illustrate how changing one property (e.g., moving velocity) affects another (e.g., kinetic energy) and constitutes a considerable portion of textual knowledge. Current approaches use either semantic parsers to…

Computation and Language · Computer Science 2021-06-07 Mucheng Ren , Heyan Huang , Yang Gao

Children acquire their native language with apparent ease by observing how language is used in context and attempting to use it themselves. They do so without laborious annotations, negative examples, or even direct corrections. We take a…

Computation and Language · Computer Science 2021-03-18 Christopher Wang , Candace Ross , Yen-Ling Kuo , Boris Katz , Andrei Barbu

We address the text-to-text generation problem of sentence-level paraphrasing -- a phenomenon distinct from and more difficult than word- or phrase-level paraphrasing. Our approach applies multiple-sequence alignment to sentences gathered…

Computation and Language · Computer Science 2007-05-23 Regina Barzilay , Lillian Lee

The human ability to flexibly reason using analogies with domain-general content depends on mechanisms for identifying relations between concepts, and for mapping concepts and their relations across analogs. Building on a recent model of…

Artificial Intelligence · Computer Science 2021-10-06 Hongjing Lu , Nicholas Ichien , Keith J. Holyoak

Solving mathematical word problems (MWPs) automatically is challenging, primarily due to the semantic gap between human-readable words and machine-understandable logics. Despite the long history dated back to the1960s, MWPs have regained…

Computation and Language · Computer Science 2019-04-30 Dongxiang Zhang , Lei Wang , Luming Zhang , Bing Tian Dai , Heng Tao Shen

Many natural language processing (NLP) tasks involve reasoning with textual spans, including question answering, entity recognition, and coreference resolution. While extensive research has focused on functional architectures for…

Computation and Language · Computer Science 2020-06-09 Shubham Toshniwal , Haoyue Shi , Bowen Shi , Lingyu Gao , Karen Livescu , Kevin Gimpel

Reasoning about implied relationships (e.g., paraphrastic, common sense, encyclopedic) between pairs of words is crucial for many cross-sentence inference problems. This paper proposes new methods for learning and using embeddings of word…

Computation and Language · Computer Science 2019-04-09 Mandar Joshi , Eunsol Choi , Omer Levy , Daniel S. Weld , Luke Zettlemoyer

In natural language, words and phrases themselves imply the semantics. In contrast, the meaning of identifiers in mathematical formulae is undefined. Thus scientists must study the context to decode the meaning. The Mathematical Language…

Digital Libraries · Computer Science 2019-07-02 Robert Pagael , Moritz Schubotz

Prefix parsing asks whether an input prefix can be extended to a complete string generated by a given grammar. In the weighted setting, it also provides prefix probabilities, which are central to context-free language modeling,…

Computation and Language · Computer Science 2026-05-05 Clemente Pasti , Andreas Opedal , Timothy J. O'Donnell , Ryan Cotterell , Tim Vieira

This paper presents a novel semantic-based phrase translation model. A pair of source and target phrases are projected into continuous-valued vector representations in a low-dimensional latent semantic space, where their translation score…

Computation and Language · Computer Science 2013-12-03 Jianfeng Gao , Xiaodong He , Wen-tau Yih , Li Deng

The relationship between communicated language and intended meaning is often probabilistic and sensitive to context. Numerous strategies attempt to estimate such a mapping, often leveraging recursive Bayesian models of communication. In…

Computation and Language · Computer Science 2023-05-03 Benjamin Lipkin , Lionel Wong , Gabriel Grand , Joshua B Tenenbaum

Abstract meaning representations (AMRs) are broad-coverage sentence-level semantic representations. AMRs represent sentences as rooted labeled directed acyclic graphs. AMR parsing is challenging partly due to the lack of annotated…

Computation and Language · Computer Science 2018-05-15 Chunchuan Lyu , Ivan Titov

Estimating a constrained relation is a fundamental problem in machine learning. Special cases are classification (the problem of estimating a map from a set of to-be-classified elements to a set of labels), clustering (the problem of…

Machine Learning · Computer Science 2014-08-06 Lizhen Qu , Bjoern Andres

A major challenge of semantic parsing is the vocabulary mismatch problem between natural language and target ontology. In this paper, we propose a sentence rewriting based semantic parsing method, which can effectively resolve the mismatch…

Computation and Language · Computer Science 2019-01-11 Bo Chen , Le Sun , Xianpei Han , Bo An

Currently used metrics for assessing summarization algorithms do not account for whether summaries are factually consistent with source documents. We propose a weakly-supervised, model-based approach for verifying factual consistency and…

Computation and Language · Computer Science 2019-10-29 Wojciech Kryściński , Bryan McCann , Caiming Xiong , Richard Socher

Semantics of a sentence is defined with much less ambiguity than semantics of a single word, and we assume that it should be better preserved by translation to another language. If multilingual sentence embeddings intend to represent…

Computation and Language · Computer Science 2024-06-28 Oleg Vasilyev , Fumika Isono , John Bohannon

In document-level relation extraction, entities may appear multiple times in a document, and their relationships can shift from one context to another. Accurate prediction of the relationship between two entities across an entire document…

Computation and Language · Computer Science 2025-08-01 Nilesh , Atul Gupta , Avinash C Panday
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