### Abstract

We show how to answer analogy questions A:B::C:D of unknown D between word forms, by essentially relying on the basic arithmetic equality D[i_{b} - i_{a} + i_{c}] = B[i_{b}] - A[i_{a}] + C[i_{c}] on characters and positions at the same time. We decompose the problem into two steps: specification and decoding. We examine several techniques to implement each of these two steps. We perform experiments on a set of positive and negative examples and assess the accuracy of combinations of techniques. We then evaluate the performance of the best combination of techniques on a large set of more than 40 million analogy questions from the training data of a shared task in morphology. We obtain the correct answer in 94 % of the cases.

Original language | English |
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Pages (from-to) | 23-32 |

Number of pages | 10 |

Journal | CEUR Workshop Proceedings |

Volume | 2028 |

Publication status | Published - 2017 Jan 1 |

Event | 2017 ICCBR Workshops on Computational Analogy and Case-Based Reasoning, CAW 2017, Case-Based Reasoning and Deep Learning, CBRDL 2017 and Process-Oriented Case-Based Reasoning, POCBR 2017, Doctoral Consortium, and Competitions, ICCBR-WS 2017 - Trondheim, Norway Duration: 2017 Jun 26 → 2017 Jun 28 |

### Fingerprint

### Keywords

- Analogy questions
- Character-position arithmetic
- Formal analogy

### ASJC Scopus subject areas

- Computer Science(all)

### Cite this

**Character-position arithmetic for analogy questions between word forms.** / Lepage, Yves.

Research output: Contribution to journal › Conference article

*CEUR Workshop Proceedings*, vol. 2028, pp. 23-32.

}

TY - JOUR

T1 - Character-position arithmetic for analogy questions between word forms

AU - Lepage, Yves

PY - 2017/1/1

Y1 - 2017/1/1

N2 - We show how to answer analogy questions A:B::C:D of unknown D between word forms, by essentially relying on the basic arithmetic equality D[ib - ia + ic] = B[ib] - A[ia] + C[ic] on characters and positions at the same time. We decompose the problem into two steps: specification and decoding. We examine several techniques to implement each of these two steps. We perform experiments on a set of positive and negative examples and assess the accuracy of combinations of techniques. We then evaluate the performance of the best combination of techniques on a large set of more than 40 million analogy questions from the training data of a shared task in morphology. We obtain the correct answer in 94 % of the cases.

AB - We show how to answer analogy questions A:B::C:D of unknown D between word forms, by essentially relying on the basic arithmetic equality D[ib - ia + ic] = B[ib] - A[ia] + C[ic] on characters and positions at the same time. We decompose the problem into two steps: specification and decoding. We examine several techniques to implement each of these two steps. We perform experiments on a set of positive and negative examples and assess the accuracy of combinations of techniques. We then evaluate the performance of the best combination of techniques on a large set of more than 40 million analogy questions from the training data of a shared task in morphology. We obtain the correct answer in 94 % of the cases.

KW - Analogy questions

KW - Character-position arithmetic

KW - Formal analogy

UR - http://www.scopus.com/inward/record.url?scp=85040354099&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85040354099&partnerID=8YFLogxK

M3 - Conference article

AN - SCOPUS:85040354099

VL - 2028

SP - 23

EP - 32

JO - CEUR Workshop Proceedings

JF - CEUR Workshop Proceedings

SN - 1613-0073

ER -