Upgrade to Pro
— share decks privately, control downloads, hide ads and more …
Speaker Deck
Features
Speaker Deck
PRO
Sign in
Sign up for free
Search
Search
Fast Succinct Trie
Search
Shunsuke Kanda
August 06, 2019
Research
1
720
Fast Succinct Trie
第七回StringBeginnersでの発表資料です。
Shunsuke Kanda
August 06, 2019
Tweet
Share
More Decks by Shunsuke Kanda
See All by Shunsuke Kanda
Leveraging LLMs for Unsupervised Dense Retriever Ranking (SIGIR 2024)
kampersanda
2
370
Lucene/Elasticsearch の Character Filter でユニコード正規化するとトークンのオフセットがズレるバグへの Workaround - Search Engineering Tech Talk 2024 Spring
kampersanda
0
1.4k
Binary and Scalar Embedding Quantization for Significantly Faster & Cheaper Retrieval
kampersanda
2
390
トライとダブル配列の基礎
kampersanda
1
1.2k
Binary search with modern processors
kampersanda
33
14k
AIP Open Seminar #6
kampersanda
0
230
ICDM2020
kampersanda
0
210
SIGSPATIAL20
kampersanda
0
190
EliasFano
kampersanda
1
240
Other Decks in Research
See All in Research
NLP Colloquium
junokim
1
160
クラウドのテレメトリーシステム研究動向2025年
yuukit
3
960
Large Language Model Agent: A Survey on Methodology, Applications and Challenges
shunk031
12
8.4k
AIによる画像認識技術の進化 -25年の技術変遷を振り返る-
hf149
6
3.6k
ASSADS:ASMR動画に合わせて撫でられる感覚を提示するシステムの開発と評価 / ec75-shimizu
yumulab
1
390
電通総研の生成AI・エージェントの取り組みエンジニアリング業務向けAI活用事例紹介
isidaitc
1
660
プロシェアリング白書2025_PROSHARING_REPORT_2025
circulation
1
890
最適決定木を用いた処方的価格最適化
mickey_kubo
4
1.7k
公立高校入試等に対する受入保留アルゴリズム(DA)導入の提言
shunyanoda
0
5.9k
2025年度人工知能学会全国大会チュートリアル講演「深層基盤モデルの数理」
taiji_suzuki
24
15k
Principled AI ~深層学習時代における課題解決の方法論~
taniai
3
1.2k
近似動的計画入門
mickey_kubo
4
980
Featured
See All Featured
Faster Mobile Websites
deanohume
307
31k
Optimizing for Happiness
mojombo
379
70k
Making Projects Easy
brettharned
116
6.3k
Building Flexible Design Systems
yeseniaperezcruz
328
39k
Keith and Marios Guide to Fast Websites
keithpitt
411
22k
Distributed Sagas: A Protocol for Coordinating Microservices
caitiem20
331
22k
Gamification - CAS2011
davidbonilla
81
5.4k
The World Runs on Bad Software
bkeepers
PRO
69
11k
Git: the NoSQL Database
bkeepers
PRO
430
65k
Building Adaptive Systems
keathley
43
2.7k
How to train your dragon (web standard)
notwaldorf
95
6.1k
[Rails World 2023 - Day 1 Closing Keynote] - The Magic of Rails
eileencodes
35
2.4k
Transcript
'BTU4VDDJODU5SJF @kampersanda 7th StringBeginners հจɿ ;IBOH -JN -FJT "OEFSTFO ,BNJOTLZ
,FFUPOBOE1BWMP 4V3'1SBDUJDBM3BOHF2VFSZ'JMUFSJOHXJUI'BTU4VDDJODU5SJF *O4*(.0% QQ
'BTU4VDDJODU5SJF '45 w ͷ4*(.0%ͰఏҊ͞Εͨ؆ܿ5SJFදݱ ;IBOHFUBM4V3'1SBDUJDBMSBOHFRVFSZpMUFSJOHXJUI GBTUTVDDJODUUSJFT4*(.0% 4VDDJODU3BOHF'JMUFS
4V3' ͷͨΊʹఏҊ͞Εͨ Ұൠతͳ༻్ʹ͑Δ w ࠓճͷൃද4V3'Ͱͳ͘'45ʹযΛͯͨͷͰ͢ w ͪͳΈʹ ච಄ஶऀ͞ΜʹΑΔΘ͔Γ͍͢εϥΠυ͕͏͢Ͱʹ͋Γ·͢ ‣ IUUQXXXDTDNVFEVdIVBODIFTMJEFT'45QEG ࠓճͷ୯७ʹͦΕΛͳͧͬͨͷͰͳ͍Ͱ͢ 2
5SJFࣙॻ w 5SJFͱҰݴͰݴͬͯɺٻΊΒΕΔૢ࡞͍Ζ͍Ζ w ࠓճ؆୯ʹҎԼͷΑ͏ͳૢ࡞͕Ͱ͖ΕΑ͠ͱ͠·͢ .FNCFS 4 ɿจࣈྻ4͕Ωʔͱؚͯ͠·Ε͍ͯΔ͔ʁ
1SFpY 4 ɿจࣈྻ4ͷ಄ࣙͱ࠷Ұக͢ΔΩʔʁ 3 .FNCFS Θͨ͠ :FT .FNCFS Θͨ͘͠ /P 1SFpY Θͨ͘͠ Θͨ ͨ Θ ʹ ͠ Έ ͨ Θ ͠
ͦͦ؆ܿ5SJFͬͯԿʁ 'BTU4VDDJODU5SJF '45 ͱʁ 5SJFࣙॻͱͯ͠ͷ'45ͷੑೳʁ
ͦͦ؆ܿ5SJFͬͯԿʁ 'BTU4VDDJODU5SJF '45 ͱʁ 5SJFࣙॻͱͯ͠ͷ'45ͷੑೳʁ
؆ܿ5SJFͱʁ w ใཧతԼݶʹ͍ۙϝϞϦྔͰ5SJFΛදݱ͢Δσʔλߏ OMHМ 0 O Ϗοτ ‣ OઅɺМΞϧϑΝϕοταΠζ
w ʮॱংͷ؆ܿදݱʯ ʮϥϕϧͷྻʯͰΑ͘දݱ͞ΕΔ w ̏ͭͷදతͳॱংͷ؆ܿσʔλߏ #1 #BMBODFE1BSFOUIFTFT %'6%4 %FQUI'JSTU6OBSZ%FHSFF4FRVFODF -06%4 -FWFM0SEFSFE6OBSZ%FHSFF4FRVFODF w ͪͳΈʹɺ 9#8N#POTBJͳͲ؆ܿ5SJFͰ͕͢ࠓճѻΘͳ͍Ͱ͢ 6 O P O CJUT OMPHМCJUT
#1 #BMBODFE1BSFOUIFTFT w ֤અΛ։ׅހ(ͱดׅހ)ͷϖΞͰදݱ ਂ͞༏ઌॱͰΛࠪ ߦ͖ͷ๚Ͱ(Λஔ͖ɺؼΓͷ๚Ͱ)Λஔ͘ 7
'JSTU$IJME QPT QPT /FYU4JCMJOH QPT 'JOE$MPTF QPT ( ( ( ) ( ( ) ( ) ) ) ( ( ( ) ) ) ) 'JOE$MPTFɿରԠ͢ΔดׅހͷҐஔ
%'6%4 %FQUI'JSTU6OBSZ%FHSFF4FRVFODF w #1ΑΓଟػೳͳׅހྻදݱ ਂ͞༏ઌॱͰΛࠪ ֤અʹ͍ͭͯɺͦͷࢠͱಉ͡ͷ(ͱ̍ݸͷ)Λஔ͘ ࠷ޙʹઌ಄ʹ(Λஔ͘
8 ( ( ( ) ( ( ) ) ( ( ) ) ) ( ) ( ) ) $IJME QPT J 'JOE$MPTF 4FMFDU) 3BOL) QPT J 3BOLb QPT ɿQPT·Ͱͷbͷ 4FMFDUb L ɿL൪ͷb͕ݱΕΔҐஔ 'JOE$MPTF
-06%4 -FWFM0SEFSFE6OBSZ%FHSFF4FRVFODF w ͜ͷੈͰͬͱγϯϓϧͳදݱʢྑ͍ҙຯͰʣ ෯༏ઌॱʹΛࠪ ֤અʹ͍ͭͯɺͦͷࢠͱಉ͡ͷ1ͱ̍ݸͷ0Λஔ͘ ࠷ޙʹઌ಄ʹ10Λஔ͘
9 1 0 1 1 0 1 1 0 1 0 0 1 1 0 1 0 0 0 0 'JSTU$IJME QPT 4FMFDU0 3BOL1 1PT /FYU4JCMJOH QPT QPT 3BOLb QPT ɿQPT·Ͱͷbͷ 4FMFDUb L ɿL൪ͷb͕ݱΕΔҐஔ 'JSTU$IJME
؆ܿ5SJFͷϨϏϡʔ 10 ػೳੑ ݕࡧ ࣮ #1 ̋ ˚ %'6%4
˕ ̋ -06%4 ˚ ˕ қ w Ұൠతʹɺࣙॻͱͯ͠ͷ5SJF಄ࣙݕࡧ͕Ͱ͖Εे w #1ͱ%'6%4Ϧον͗͢ΔͷͰ-06%4͕࠾༻͞ΕΔέʔε͕ଟ͍ 59ɺ69ɺ."3*4"ɺ'45ɺͳͲ w ͦͷลΓͷൺֱ࣮ݧ "SSPZVFMPFUBM4VDDJODUUSFFTJOQSBDUJDF"-&/&9 ాΒॱংͷ؆ܿදݱΛ༻͍ͨτϥΠࣙॻͷධՁॲશࠃ ࠓͱͳͬͯ ͦ͜·Ͱ͡Όͳ͍
ͦͦ؆ܿ5SJFͬͯԿʁ 'BTU4VDDJODU5SJF '45 ͱʁ 5SJFࣙॻͱͯ͠ͷ'45ͷੑೳʁ
ઃܭͷϞνϕʔγϣϯ w ࠜͷۙͷઅͱ༿ͷۙͷઅͰੑׂ࣭͕ҧ͏ 12 w ͪͳΈʹɺͦͷΑ͏ͳϞνϕʔγϣϯ౷తʹ͋Γ·͢ "35ɿઅͷ࣍ʹΑΓదͳσʔλߏΛબ #VSTU5SJF)"5ɿࠜۙͷઅΛ୯७ͳྻͰදݱ
."3*4"ɿࠜͷۙͷ3BOL4FMFDUͷԋࢉ݁ՌΛΩϟογϡ ૄ සൟʹΞΫηε͞ΕΔ େଟͷઅ͕ଐ͢Δ ͕େࣄʂ ϝϞϦޮ͕େࣄʂ ͨ Θ ʹ ͠ Έ ͨ Θ ͠ ີ
-06%4%4ɿೋछྨͷ-06%4Ͱදݱ 13 ਤจΑΓҾ༻ w ࠜۙߴͳ-06%4%FOTF w ༿ۙϝϞϦޮͷྑ͍-06%44QBSTF
-06%4%FOTF 14 - )$ ͨ Θ ʹ ͠ Έ ͨ
Θ ͠ - )$ ͨ Θ Θ ͨ ʹ - )$ ͠ ͠ Έ ˞ଟগɺ؆ུԽͯ͠·͢ w -ɿͦͷࢬϥϕϧΛ࣋ͭࢠ͕ଘࡏ͢Δ͔ʁ w )$ɿͦͷࢠ෦અ͔ʁ МޒेԻ w ֤෦અΛ͞Мͷ ϏοτϚοϓͰදݱ
-06%4%FOTF 15 - )$ ͨ Θ ʹ ͠ Έ ͨ
Θ ͠ - )$ ͨ Θ Θ ͨ ʹ - )$ ͠ ͠ Έ ॳظঢ়ଶɿQPT ʮΘͨ͠ʯͰݕࡧ ߋ৽ɿQPTQPT จࣈ ֬ೝɿ-<QPT>ͳΒࢠ͕ଘࡏ͠ɺ)$<QPT>ͳΒͦͷࢠ෦અ ભҠɿ$IJME1PT QPT Мº3BOL )$ QPT QPT М ˞ଟগɺ؆ུԽͯ͠·͢
-06%4%FOTF 16 ͨ Θ ʹ ͠ Έ ͨ Θ ͠
ͨ Θ Θ ͨ ʹ ͠ ͠ Έ QPT $IJME1PT ʮΘͨ͠ʯͰݕࡧ М ˞ଟগɺ؆ུԽͯ͠·͢ - )$ - )$ - )$ QPT ߋ৽ɿQPTQPT จࣈ ֬ೝɿ-<QPT>ͳΒࢠ͕ଘࡏ͠ɺ)$<QPT>ͳΒͦͷࢠ෦અ ભҠɿ$IJME1PT QPT Мº3BOL )$ QPT 3BOL )$ QPT
-06%4%FOTF 17 ͨ Θ ʹ ͠ Έ ͨ Θ ͠
ͨ Θ Θ ͨ ʹ ͠ ͠ Έ QPT $IJME1PT ʮΘͨ͠ʯͰݕࡧ М ˞ଟগɺ؆ུԽͯ͠·͢ - )$ - )$ - )$ QPT ߋ৽ɿQPTQPT จࣈ ֬ೝɿ-<QPT>ͳΒࢠ͕ଘࡏ͠ɺ)$<QPT>ͳΒͦͷࢠ෦અ ભҠɿ$IJME1PT QPT Мº3BOL )$ QPT 3BOL )$ QPT
-06%4%FOTF 18 ͨ Θ ʹ ͠ Έ ͨ Θ ͠
ͨ Θ Θ ͨ ʹ ͠ ͠ Έ QPT )$<QPT>ͳͷͰ༿ ʮΘͨ͠ʯͰݕࡧ М ˞ଟগɺ؆ུԽͯ͠·͢ - )$ - )$ - )$ QPT ߋ৽ɿQPTQPT จࣈ ֬ೝɿ-<QPT>ͳΒࢠ͕ଘࡏ͠ɺ)$<QPT>ͳΒͦͷࢠ෦અ ભҠɿ$IJME1PT QPT Мº3BOL )$ QPT
-06%44QBSTF 19 ͨ Θ
ʹ ͠ Έ ͨ Θ ͠ - ͨ Θ Θ ͨ ʹ ͠ ͠ Έ )$ 4 ˞ଟগɺ؆ུԽͯ͠·͢ w ݪཧతʹී௨ͷ-06%4ͱҰॹ w-ɿϥϕϧͷྻ w)$ɿͦͷઅ෦અ͔ʁ w4ɿͦͷઅஉ͔ʁʢݪཧతʹී௨ͷ-06%4ʣ
-06%44QBSTF 20 ʮΘͨ͠ʯͰݕࡧ
- ͨ Θ Θ ͨ ʹ ͠ ͠ Έ )$ 4 ୳ࡧɿQPT -<QPT>จࣈ ͳQPT ֬ೝɿ)$<QPT>ͳΒͦͷࢠ෦અ ભҠɿ$IJME1PT QPT 4FMFDU 4 3BOL )$ QPT ˞ଟগɺ؆ུԽͯ͠·͢ ॳظঢ়ଶɿQPT QPT ͨ Θ ʹ ͠ Έ ͨ Θ ͠
-06%44QBSTF 21 ʮΘͨ͠ʯͰݕࡧ
- ͨ Θ Θ ͨ ʹ ͠ ͠ Έ )$ 4 ˞ଟগɺ؆ུԽͯ͠·͢ QPT $IJME1PT QPT ୳ࡧɿQPT -<QPT>จࣈ ͳQPT ֬ೝɿ)$<QPT>ͳΒͦͷࢠ෦અ ભҠɿ$IJME1PT QPT 4FMFDU 4 3BOL )$ QPT ͨ Θ ʹ ͠ Έ ͨ Θ ͠ 3BOL )$ QPT 4FMFDU 4
ͨ Θ ʹ ͠
Έ ͨ Θ ͠ -06%44QBSTF 22 ʮΘͨ͠ʯͰݕࡧ - ͨ Θ Θ ͨ ʹ ͠ ͠ Έ )$ 4 ˞ଟগɺ؆ུԽͯ͠·͢ QPT $IJME1PT ୳ࡧɿQPT -<QPT>จࣈ ͳQPT ֬ೝɿ)$<QPT>ͳΒͦͷࢠ෦અ ભҠɿ$IJME1PT QPT 4FMFDU 4 3BOL )$ QPT 3BOL )$ QPT 4FMFDU 4
-06%44QBSTF 23 ʮΘͨ͠ʯͰݕࡧ
- ͨ Θ Θ ͨ ʹ ͠ ͠ Έ )$ 4 ˞ଟগɺ؆ུԽͯ͠·͢ QPT )$<QPT>ͳͷͰ༿ ୳ࡧɿQPT -<QPT>จࣈ ͳQPT ֬ೝɿ)$<QPT>ͳΒͦͷࢠ෦અ ભҠɿ$IJME1PT QPT 4FMFDU 4 3BOL )$ QPT ͨ Θ ʹ ͠ Έ ͨ Θ ͠
'45ͷͦͷଞͷ w -06%4%FOTF4QBSTFͦΕͧΕʹదͳ3BOLࣙॻͷઃܭ w 4*.%ʹΑΔϥϕϧ୳ࡧͷߴԽ w ϓϦϑΣον໋ྩͷ׆༻ 24 ਤจΑΓҾ༻
ͦͦ؆ܿ5SJFͬͯԿʁ 'BTU4VDDJODU5SJF '45 ͱʁ 5SJFࣙॻͱͯ͠ͷ'45ͷੑೳʁ
'45ͷԠ༻ɿ3BOHF2VFSZ'JMUFSJOH w '453BOHF2VFSZ'JMUFSJOHͷҝͷσʔλߏͱͯ͠ఏҊ͞Εͨ 26 * $ % . & .
- ɿ*$"-1͔Β*$%.ͷؒʹؚ·ΕΔσʔλ͋Δʁ ղɿ:&4ʢ*$%&ͱ*$%.ʣ ɿ*$"-1͔Β*$%.ͷؒʹؚ·ΕΔσʔλʁ ղɿͭʢ*$%&ͱ*$%.ʣ w 4V3' 4VDDJODU3BOHF'JMUFS Ͱ'45ͷར༻ʹՃ͑ɺϢχʔΫͳ ඌࣙΛΓޡݕग़Λڐ͢͜ͱͰɺ#MPPN'JMUFSʹඖఢ͢ΔϝϞϦ༻ྔ Ͱ3BOHF2VFSZ'JMUFSJOHΛ࣮ݱ͢Δ
'45ͷੑೳʢจΑΓҾ༻ʣ w طଘͷ؆ܿ5SJFࣙॻͱൺͯ 27 ϏοτΛόΠτจࣈྻͱͯ͠ ϗετ໊Λͻͬ͘Γฦͯ͠ FH DPNHPPMHF!LBOEB UYUSJFγϯϓϧͳ-06%4 1%5ܦ࿏ղ
%'6%4
'45ͷੑೳʢจΑΓҾ༻ʣ w CJUJOUͰ-06%4%FOTFͷߩݙ͕େ͖͍ Ұ༷Ͱੜ͞Εͨσʔλ ͳͷͰ֤અͷࢠͷ͕ͱͯେ͖͍ 28 CBTFMJOF-06%44QBSTFͷΈ w
5SJFࣙॻͱͯͪ͠ΐͬͱಛघͳσʔληοτʁ w ࣗવݴޠͳͲσʔληοτͰͷੑೳͲ͏ͳͷʁ
5SJFࣙॻɺ࣮͠·ͨ͠ 29 w IUUQTHJUIVCDPNLBNQFSTBOEBGBTU@TVDDJODU@USJF
.FNPSZ6TBHF .J# '45 %"354$ 9$%"5
59 ."3*4" 1%5 4FBSDI5JNF NJDSPTFDRVFSZ '45 %"354$ 9$%"5 59 ."3*4" 1%5 .FNPSZ6TBHF .J# '45 %"354$ 9$%"5 59 ."3*4" 1%5 4FBSDI5JNF NJDSPTFDRVFSZ '45 %"354$ 9$%"5 59 ."3*4" 1%5 30 ࣮ݧʢຊޠʣ ϝϞϦ ݕࡧ *1"ࣙॻ .TUSJOHT BWFMFOHUI 8JLJλΠτϧ .TUSJOHT BWFMFOHUI
31 ࣮ݧʢ"TLJUJT`TEBUBTFUʣ .FNPSZ6TBHF .J# '45
%"354$ 9$%"5 59 ."3*4" 1%5 4FBSDI5JNF NJDSPTFDRVFSZ '45 %"354$ 9$%"5 59 ."3*4" 1%5 ϝϞϦ ݕࡧ %JTUJODU .TUSJOHT BWFMFOHUI 6SM .TUSJOHT BWFMFOHUI .FNPSZ6TBHF .J# '45 %"354$ 9$%"5 59 ."3*4" 1%5 4FBSDI5JNF NJDSPTFDRVFSZ '45 %"354$ 9$%"5 59 ."3*4" 1%5
·ͱΊ w '45γϯϓϧͳ-06%4ͳվྑ w σʔλ͔ΒΔΑ͏ͳઅͷࢠͷ͕ͱͯଟ͍5SJFʹ ରͯ͠ɺ-06%4%FOTFͷߩݙ͕ͱͯେ͖͍ 3BOHFRVFSZpMUFSJOHͷͨΊͷσʔλߏͱͯ͠Α͍ w ҰํͰɺࣗવݴޠσʔλͳͲͰطଘͷ5SJFࣙॻͷํ͕ޮ͕
ྑͦ͞͏ ͔͠͠ͳ͕Βɺ-06%4%FOTFͱଞͷ5SJFࣙॻʢྫ͑ 1%5ͱ͔ʣΛΈ߹ΘͤΔͳͲͷํࡦߟ͑ΒΕͦ͏ 32