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We explore the use of expert iteration in the context of language modeling applied to formal mathematics. We show that at same compute budget, expert iteration, by which we mean proof search interleaved with learning, dramatically…

Machine Learning · Computer Science 2022-02-04 Stanislas Polu , Jesse Michael Han , Kunhao Zheng , Mantas Baksys , Igor Babuschkin , Ilya Sutskever

Evaluating the quality of model responses remains challenging in generative tasks with long-form answers, as the expected answers usually contain multiple semantically distinct yet complementary factors that should be factorized for…

Computation and Language · Computer Science 2026-04-15 Guoxin Yu , Chulun Zhou , Lemao Liu , Qi Wang , Mo Yu , Jialong Tang , Baosong Yang , Xiang Ao , Wai Lam , Yue Yu

In a sampling problem, we are given an input x, and asked to sample approximately from a probability distribution D_x. In a search problem, we are given an input x, and asked to find a member of a nonempty set A_x with high probability. (An…

Quantum Physics · Physics 2010-09-28 Scott Aaronson

Data repairing is a key problem in data cleaning which aims to uncover and rectify data errors. Traditional methods depend on data dependencies to check the existence of errors in data, but they fail to rectify the errors. To overcome this…

Databases · Computer Science 2019-09-24 Hiba Abu Ahmad , Hongzhi Wang

Identifying mathematical relations expressed in text is essential to understanding a broad range of natural language text from election reports, to financial news, to sport commentaries to mathematical word problems. This paper focuses on…

Computation and Language · Computer Science 2016-09-29 Subhro Roy , Shyam Upadhyay , Dan Roth

We build a dual-way neural dictionary to retrieve words given definitions, and produce definitions for queried words. The model learns the two tasks simultaneously and handles unknown words via embeddings. It casts a word or a definition to…

Computation and Language · Computer Science 2022-10-12 Pinzhen Chen , Zheng Zhao

Continual learning requires machine learning models to continuously acquire new knowledge in dynamic environments while avoiding the forgetting of previous knowledge. Prompt-based continual learning methods effectively address the issue of…

Computer Vision and Pattern Recognition · Computer Science 2025-10-03 Dunwei Tu , Huiyu Yi , Yuchi Wang , Baile Xu , Jian Zhao , Furao Shen

Word embeddings are now a standard technique for inducing meaning representations for words. For getting good representations, it is important to take into account different senses of a word. In this paper, we propose a mixture model for…

Computation and Language · Computer Science 2017-08-14 Dai Quoc Nguyen , Dat Quoc Nguyen , Ashutosh Modi , Stefan Thater , Manfred Pinkal

Existing benchmarks for evaluating mathematical reasoning in large language models (LLMs) rely primarily on competition problems, formal proofs, or artificially challenging questions -- failing to capture the nature of mathematics…

Artificial Intelligence · Computer Science 2025-10-21 Jie Zhang , Cezara Petrui , Kristina Nikolić , Florian Tramèr

Concepts are used to solve the term-mismatch problem. However, we need an effective similarity measure between concepts. Word embedding presents a promising solution. We present in this study three approaches to build concepts vectors based…

Information Retrieval · Computer Science 2020-02-05 Karam Abdulahhad

A reverse dictionary takes the description of a target word as input and outputs the target word together with other words that match the description. Existing reverse dictionary methods cannot deal with highly variable input queries and…

Computation and Language · Computer Science 2019-12-20 Lei Zhang , Fanchao Qi , Zhiyuan Liu , Yasheng Wang , Qun Liu , Maosong Sun

Large Language Models (LLMs) are prone to hallucination, especially during multi-hop and reasoning-intensive tasks such as mathematical problem solving. While Outcome Reward Models verify only final answers, Process Reward Models (PRMs)…

Computation and Language · Computer Science 2025-05-27 Tej Deep Pala , Panshul Sharma , Amir Zadeh , Chuan Li , Soujanya Poria

Automatic math word problem solving has attracted growing attention in recent years. The evaluation datasets used by previous works have serious limitations in terms of scale and diversity. In this paper, we release a new large-scale and…

Computation and Language · Computer Science 2020-10-12 Wei Zhao , Mingyue Shang , Yang Liu , Liang Wang , Jingming Liu

It is shown that for finding rational approximates to m'th root of any integer to any accuracy one only needs the ability to count and to distinguish between m different classes of objects. To every integer N can be associated a…

General Mathematics · Mathematics 2007-05-23 Ashok Kumar Gupta , Ashok Kumar Mittal

Parallel sentences are a relatively scarce but extremely useful resource for many applications including cross-lingual retrieval and statistical machine translation. This research explores our new methodologies for mining such data from…

Computation and Language · Computer Science 2015-11-20 Krzysztof Wołk , Emilia Rejmund , Krzysztof Marasek

We study the task of retrieving relevant experiments given a query experiment. By experiment, we mean a collection of measurements from a set of `covariates' and the associated `outcomes'. While similar experiments can be retrieved by…

Machine Learning · Statistics 2014-02-20 Sohan Seth , John Shawe-Taylor , Samuel Kaski

Copying mechanism has been commonly used in neural paraphrasing networks and other text generation tasks, in which some important words in the input sequence are preserved in the output sequence. Similarly, in machine translation, we notice…

Computation and Language · Computer Science 2020-10-23 Jin Xu , Yinuo Guo , Junfeng Hu

We engineer an algorithm to solve the approximate dictionary matching problem. Given a list of words $\mathcal{W}$, maximum distance $d$ fixed at preprocessing time and a query word $q$, we would like to retrieve all words from…

Information Retrieval · Computer Science 2010-08-19 Daniel Karch , Dennis Luxen , Peter Sanders

Machine-translated text plays an important role in modern life by smoothing communication from various communities using different languages. However, unnatural translation may lead to misunderstanding, a detector is thus needed to avoid…

Computation and Language · Computer Science 2019-04-25 Hoang-Quoc Nguyen-Son , Tran Phuong Thao , Seira Hidano , Shinsaku Kiyomoto

The difficulty of multiple-choice questions (MCQs) is a crucial factor for educational assessments. Predicting MCQ difficulty is challenging since it requires understanding both the complexity of reaching the correct option and the…

Artificial Intelligence · Computer Science 2025-03-12 Wanyong Feng , Peter Tran , Stephen Sireci , Andrew Lan