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Decoder transformers have continued increasing in scale reaching hundreds of billions of parameters. Due to their scale the same decoder sets state-of-the-art results on various language tasks via prompting or fine-tuning. Yet, these large…

Computation and Language · Computer Science 2022-08-08 Niklas Muennighoff

Mapping words into a fixed-dimensional vector space is the backbone of modern NLP. While most word embedding methods successfully encode semantic information, they overlook phonetic information that is crucial for many tasks. We develop…

Computation and Language · Computer Science 2024-03-27 Vilém Zouhar , Kalvin Chang , Chenxuan Cui , Nathaniel Carlson , Nathaniel Robinson , Mrinmaya Sachan , David Mortensen

To represent anything from mathematical concepts to real-world objects, we have to resort to an encoding. Encodings, such as written language, usually assume a decoder that understands a rich shared code. A semantic embedding is a form of…

Discrete Mathematics · Computer Science 2022-05-26 Fernando Martin-Maroto , Gonzalo G. de Polavieja

Neural machine translation is a recently proposed approach to machine translation. Unlike the traditional statistical machine translation, the neural machine translation aims at building a single neural network that can be jointly tuned to…

Computation and Language · Computer Science 2016-05-23 Dzmitry Bahdanau , Kyunghyun Cho , Yoshua Bengio

Many decision-making problems in engineering applications such as transportation, power system and operations research require repeatedly solving large-scale linear programming problems with a large number of different inputs. For example,…

Optimization and Control · Mathematics 2020-06-11 Yize Chen , Baosen Zhang

Solving tabular math word problems (TMWPs) has become a critical role in evaluating the mathematical reasoning ability of large language models (LLMs), where large-scale TMWP samples are commonly required for LLM fine-tuning. Since the…

Computation and Language · Computer Science 2024-12-23 Xiaoqiang Kang , Zimu Wang , Xiaobo Jin , Wei Wang , Kaizhu Huang , Qiufeng Wang

Answer set programming (ASP) is a well-established logic programming language that offers an intuitive, declarative syntax for problem solving. In its traditional application, a fixed ASP program for a given problem is designed and the…

Artificial Intelligence · Computer Science 2016-08-08 Manuel Bichler , Michael Morak , Stefan Woltran

We consider the problem of joint source and channel coding of structured data such as natural language over a noisy channel. The typical approach to this problem in both theory and practice involves performing source coding to first…

Information Theory · Computer Science 2018-02-21 Nariman Farsad , Milind Rao , Andrea Goldsmith

How can we perform computations over natural language representations to solve tasks that require symbolic and numeric reasoning? We propose natural language embedded programs (NLEP) as a unifying framework for addressing math/symbolic…

Computation and Language · Computer Science 2024-04-01 Tianhua Zhang , Jiaxin Ge , Hongyin Luo , Yung-Sung Chuang , Mingye Gao , Yuan Gong , Xixin Wu , Yoon Kim , Helen Meng , James Glass

Machine translation systems are conventionally trained on textual resources that do not model phenomena that occur in spoken language. While the evaluation of neural machine translation systems on textual inputs is actively researched in…

Computation and Language · Computer Science 2019-04-26 Nicholas Ruiz , Mattia Antonino Di Gangi , Nicola Bertoldi , Marcello Federico

Fault-tolerant quantum computing demands decoders that are fast, accurate, and adaptable to circuit structure and realistic noise. While machine learning (ML) decoders have demonstrated impressive performance for quantum memory, their use…

Quantum Physics · Physics 2025-09-16 J. Pablo Bonilla Ataides , Andi Gu , Susanne F. Yelin , Mikhail D. Lukin

Conventional decoding algorithms for polar codes strive to balance achievable performance and computational complexity in classical computing. While maximum likelihood (ML) decoding guarantees optimal performance, its NP-hard nature makes…

Quantum Physics · Physics 2024-11-08 Shintaro Fujiwara , Naoki Ishikawa

In the encoder-decoder architecture for neural machine translation (NMT), the hidden states of the recurrent structures in the encoder and decoder carry the crucial information about the sentence.These vectors are generated by parameters…

Computation and Language · Computer Science 2017-08-08 Rongxiang Weng , Shujian Huang , Zaixiang Zheng , Xinyu Dai , Jiajun Chen

Automatic Word problem solving has always posed a great challenge for the NLP community. Usually a word problem is a narrative comprising of a few sentences and a question is asked about a quantity referred in the sentences. Solving word…

Computation and Language · Computer Science 2018-08-10 Pruthwik Mishra , Litton J Kurisinkel , Dipti Misra Sharma

The Homotopy paradigm, a general principle for solving challenging problems, appears across diverse domains such as robust optimization, global optimization, polynomial root-finding, and sampling. Practical solvers for these problems…

Machine Learning · Computer Science 2026-02-04 Jiayao Mai , Bangyan Liao , Zhenjun Zhao , Yingping Zeng , Haoang Li , Javier Civera , Tailin Wu , Yi Zhou , Peidong Liu

Neural machine translation (NMT) has recently become popular in the field of machine translation. However, NMT suffers from the problem of repeating or missing words in the translation. To address this problem, Tu et al. (2017) proposed an…

Computation and Language · Computer Science 2017-06-27 Yukio Matsumura , Takayuki Sato , Mamoru Komachi

Error correcting codes are a fundamental component in modern day communication systems, demanding extremely high throughput, ultra-reliability and low latency. Recent approaches using machine learning (ML) models as the decoders offer both…

Machine Learning · Computer Science 2021-12-23 Hung T. Nguyen , Steven Bottone , Kwang Taik Kim , Mung Chiang , H. Vincent Poor

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

While neural machine translation (NMT) has achieved state-of-the-art translation performance, it is unable to capture the alignment between the input and output during the translation process. The lack of alignment in NMT models leads to…

Computation and Language · Computer Science 2019-12-02 Jiacheng Zhang , Huanbo Luan , Maosong Sun , FeiFei Zhai , Jingfang Xu , Yang Liu

Automatically generating high-quality step-by-step solutions to math word problems has many applications in education. Recently, combining large language models (LLMs) with external tools to perform complex reasoning and calculation has…

Computation and Language · Computer Science 2023-04-19 Joy He-Yueya , Gabriel Poesia , Rose E. Wang , Noah D. Goodman