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Development of advanced inference technologies for huge knowledge graphs in tensor spaces

Research Project

Project/Area Number 18H03288
Research Category

Grant-in-Aid for Scientific Research (B)

Allocation TypeSingle-year Grants
Section一般
Review Section Basic Section 61030:Intelligent informatics-related
Research InstitutionWakayama University

Principal Investigator

Sakama Chiaki  和歌山大学, システム工学部, 教授 (20273873)

Co-Investigator(Kenkyū-buntansha) 井上 克巳  国立情報学研究所, 情報学プリンシプル研究系, 教授 (10252321)
林 克彦  東京大学, 大学院情報理工学系研究科, 助教 (50725794)
Project Period (FY) 2018-04-01 – 2022-03-31
Project Status Completed (Fiscal Year 2022)
Budget Amount *help
¥17,030,000 (Direct Cost: ¥13,100,000、Indirect Cost: ¥3,930,000)
Fiscal Year 2021: ¥3,900,000 (Direct Cost: ¥3,000,000、Indirect Cost: ¥900,000)
Fiscal Year 2020: ¥4,160,000 (Direct Cost: ¥3,200,000、Indirect Cost: ¥960,000)
Fiscal Year 2019: ¥4,030,000 (Direct Cost: ¥3,100,000、Indirect Cost: ¥930,000)
Fiscal Year 2018: ¥4,940,000 (Direct Cost: ¥3,800,000、Indirect Cost: ¥1,140,000)
Keywordsテンソル空間 / 線形代数計算 / 論理プログラミング / 演繹推論 / デフォルト推論 / アブダクション / 論理推論 / スパース行列 / 部分計算 / 知識グラフ / 高次推論 / 近似計算 / 人工知能 / 量子化
Outline of Final Research Achievements

In this study, we proposed a new efficient computation method for advanced reasoning in artificial intelligence on a large-scale knowledge base such as a knowledge graph, which is different from conventional theorem proving methods. More precisely, we developed a theory for converting a knowledge base represented as a logic program into an algebraic representation in tensor space, and computing deductive inference, default inference, and abduction using linear algebra. Next we implemented the system and conducted experimental evaluations using both artificial and real data. Furthermore, we developed optimization techniques for computational speed-up and confirmed their effectiveness in experimental verification. The proposed method has the potential to dramatically improve the scalability of symbolic reasoning through parallel algebraic computation using GPUs.

Academic Significance and Societal Importance of the Research Achievements

ニューラルネットワーク(NN)による機械学習の結果に説明可能性を与え信頼性を向上させるための手法として、NNと記号処理を融合したニューロシンボリックAIが提案されている。しかし、従来の記号処理計算を大規模データに適用する場合、計算効率がボトルネックとなる問題があった。本研究で提案したテンソル空間における高次推論技術は、NNで扱われているような高次元のベクトル表現されたデータを使った推論を線形代数的に計算することを可能にする。その学術的意義は、大規模データからのスケーラブルで高速な推論を実現するための新しい計算技術の提案であり、社会的意義はNNと記号処理の融合に向けた要素技術としての貢献である。

Report

(5 results)
  • 2022 Final Research Report ( PDF )
  • 2021 Annual Research Report
  • 2020 Annual Research Report
  • 2019 Annual Research Report
  • 2018 Annual Research Report
  • Research Products

    (30 results)

All 2023 2022 2021 2020 2019 2018 Other

All Int'l Joint Research (3 results) Journal Article (10 results) (of which Int'l Joint Research: 4 results,  Peer Reviewed: 10 results,  Open Access: 5 results) Presentation (10 results) (of which Int'l Joint Research: 8 results) Book (1 results) Remarks (6 results)

  • [Int'l Joint Research] University of Information Technology/Vietnam National University(ベトナム)

    • Related Report
      2020 Annual Research Report
  • [Int'l Joint Research] University of Information Technology(ベトナム)

    • Related Report
      2019 Annual Research Report
  • [Int'l Joint Research] University of Information Technology(ベトナム)

    • Related Report
      2018 Annual Research Report
  • [Journal Article] Enhancing linear algebraic computation of logic programs using sparse representation2021

    • Author(s)
      Nguyen Tuan Quoc, Katsumi Inoue, Chiaki Sakama
    • Journal Title

      New Generation Computing

      Volume: - Issue: 1 Pages: 225-254

    • DOI

      10.1007/s00354-021-00142-2

    • Related Report
      2021 Annual Research Report 2020 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Logic programming in tensor spaces2021

    • Author(s)
      Chiaki Sakama, Katsumi Inoue, Taisuke Sato
    • Journal Title

      Annals of Mathematics and AI

      Volume: 89 Issue: 12 Pages: 1133-1153

    • DOI

      10.1007/s10472-021-09767-x

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed
  • [Journal Article] An efficient reasoning method on logic programming using partial evaluation in vector spaces2021

    • Author(s)
      Hien D Nguyen, Chiaki Sakama, Taisuke Sato, Katsumi Inoue
    • Journal Title

      Journal of Logic and Compuation

      Volume: 31 Issue: 5 Pages: 1298-1316

    • DOI

      10.1093/logcom/exab010

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Binarized Embeddings for Fast, Space-Efficient Knowledge Graph Completion2021

    • Author(s)
      Katsuhiko Hayashi、Koki Kishimoto、Masashi Shimbo
    • Journal Title

      IEEE Transactions on Knowledge and Data Engineering

      Volume: -- Pages: 1-13

    • DOI

      10.1109/tkde.2021.3075070

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] From 3-Valued Semantics to Supported Model Computation for Logic Programs in Vector Spaces2020

    • Author(s)
      Taisuke Sato, Chiaki Sakama, Katsumi Inoue
    • Journal Title

      Proceedings of the 12th International Conference on Agents and Artificial Intelligence (ICAART 2020)

      Volume: 2 Pages: 758-765

    • DOI

      10.5220/0009093407580765

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Disjunctive Abduction2019

    • Author(s)
      Katsumi Inoue, Chiaki Sakama
    • Journal Title

      New Generation Computing

      Volume: 37(2) Issue: 2 Pages: 219-243

    • DOI

      10.1007/s00354-019-00059-x

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Binarized Knowledge Graph Embeddings2019

    • Author(s)
      Koki Kishimoto, Katsuhiko Hayashi, Genki Akai, Masashi Shimbo, Kazunori Komatani
    • Journal Title

      Advances in Information Retrieval. ECIR 2019. Lecture Notes in Computer Science

      Volume: 11437 Pages: 181-196

    • DOI

      10.1007/978-3-030-15712-8_12

    • ISBN
      9783030157111, 9783030157128
    • Related Report
      2019 Annual Research Report 2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Computing Logic Programming Semantics in Linear Algebra2018

    • Author(s)
      Hien D. Nguyen, Chiaki Sakama, Taisuke Sato, Katsumi Inoue
    • Journal Title

      In: Proceedings of the 12th International Conference on Multi-disciplinary Trends in Artificial Intelligence (MIWAI 2018), Lecture Notes in Computer Science

      Volume: 11248 Pages: 32-48

    • DOI

      10.1007/978-3-030-03014-8_3

    • ISBN
      9783030030131, 9783030030148
    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Abducing Relations in Continuous Spaces2018

    • Author(s)
      Taisuke Sato, Katsumi Inoue, Chiaki Sakama
    • Journal Title

      In: Proceedings of the 27th International Joint Conference on Artificial Intelligence (IJCAI 2018)

      Volume: 0 Pages: 1956-1962

    • DOI

      10.24963/ijcai.2018/270

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Partial Evaluation of Logic Programs in Vector Spaces2018

    • Author(s)
      Chiaki Sakama, Hien D. Nguyen, Taisuke Sato, Katsumi Inoue
    • Journal Title

      Proceedings of the 11th International Workshop on Answer Set Programming and Other Computing Paradigms (ASPOCP 2018), CoRR abs

      Volume: 1811.11435 Pages: 1-14

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Presentation] Linear Algebraic Abduction with Partial Evaluation2022

    • Author(s)
      Nguyen Tuan Quoc, Katsumi Inoue, Chiaki Sakama
    • Organizer
      25th International Symposium on Practical Aspects of Declarative Languages (PADL 2023)
    • Related Report
      2021 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Linear Algebraic Computation of Propositional Horn Abduction2021

    • Author(s)
      Tuan Nguyen Quoc, Katsumi Inoue, Chiaki Sakama
    • Organizer
      IEEE 33rd International Conference on Tools with Artificial Intelligence (ICTAI)
    • Related Report
      2020 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Logical inference as cost minimization in vector spaces2020

    • Author(s)
      Taisuke Sato, Ryosuke Kojima
    • Organizer
      4th International Workshop on Declarative Learning Based Programming
    • Related Report
      2020 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Enhancing Linear Algebraic Computation of Logic Programs Using Sparse Representation2020

    • Author(s)
      Tuan Nguyen Quoc, Katsumi Inoue, Chiaki Sakama
    • Organizer
      36th International Conference on Logic Programming (ICLP)
    • Related Report
      2020 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Logical inference as cost minimization in vector spaces2020

    • Author(s)
      Taisuke Sato, Ryosuke Kojima
    • Organizer
      Fourth International Workshop on Declarative Learning Based Programming(DeLBP 2019)
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research
  • [Presentation] T-PRISM: A tensorized logic programming language for data modeling2020

    • Author(s)
      Ryosuke Kojima, Taisuke Sato
    • Organizer
      14th International Workshop on Neural-Symbolic Learning and Reasoning (NeSy'19)
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research
  • [Presentation] From 3-valued semantics to supported model computation for logic programs in vector spaces2020

    • Author(s)
      Taisuke Sato, Chiaki Sakama, Katsumi Inoue
    • Organizer
      12th International Conference on Agents and Artificial Intelligence (ICAART 2020)
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research
  • [Presentation] バイナリCP分解モデルのビット反転学習法2020

    • Author(s)
      林克彦、岸本広輝、新保仁
    • Organizer
      言語処理学会第26回年次大会
    • Related Report
      2019 Annual Research Report
  • [Presentation] Binarized Knowledge Graph Embeddings2019

    • Author(s)
      Koki Kishimoto, Katsuhiko Hayashi, Genki Akai, Masashi Shimbo, Kazunori Komatani
    • Organizer
      41st European Conference on Information Retrieval
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 知識グラフ埋め込みのための二値化CP分解2019

    • Author(s)
      岸本広輝, 林克彦, 赤井元紀, 新保仁, 駒谷和範
    • Organizer
      言語処理学会第25年次大会
    • Related Report
      2018 Annual Research Report
  • [Book] Handbook of Abductive Cognition (分担執筆)2023

    • Author(s)
      Lorenzo Magnani (ed.)
    • Total Pages
      1948
    • Publisher
      Springer
    • ISBN
      9783031101342
    • Related Report
      2021 Annual Research Report
  • [Remarks] Reviewed Papers

    • URL

      http://web.wakayama-u.ac.jp/~sakama/pub.html

    • Related Report
      2021 Annual Research Report
  • [Remarks]

    • URL

      http://web.wakayama-u.ac.jp/~sakama/pub.html

    • Related Report
      2020 Annual Research Report
  • [Remarks]

    • URL

      http://web.wakayama-u.ac.jp/~sakama

    • Related Report
      2019 Annual Research Report
  • [Remarks] Computing Logic Programming Semantics

    • URL

      http://web.wakayama-u.ac.jp/~sakama/abst/miwai2018.html

    • Related Report
      2018 Annual Research Report
  • [Remarks] Partial Evaluation of Logic Programs

    • URL

      http://web.wakayama-u.ac.jp/~sakama/abst/aspocp2018.html

    • Related Report
      2018 Annual Research Report
  • [Remarks] Abducing Relations in Continuous Spaces

    • URL

      http://web.wakayama-u.ac.jp/~sakama/abst/ijcai2018.html

    • Related Report
      2018 Annual Research Report

URL: 

Published: 2018-04-23   Modified: 2024-01-30  

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