Glidesort - FOSDEM 2023
Glide. Vultur gryphus, Hugo Pédel CC BY-SA 3.0 Glidesort Orson Peters Research done at CWI Database Architectures group Efficient In-Memory Adaptive Stable Sorting on Modern Hardware What is glidesort? ◠General purpose stable comparison sort. ◠A hybrid of mergesort, quicksort and block insertion sort. ◠Robustly adaptive to pre-sorted and low-cardinality inputs. ◠Reference implementation in (unsa
Levelsモナドを使ã£ãŸå¹…優先探索ã®ä»•çµ„ã¿
Haskellã¯é–¢æ•°åž‹ãƒ—ãƒã‚°ãƒ©ãƒŸãƒ³ã‚°è¨€èªžã¨å‘¼ã°ã‚Œã¾ã™ãŒã€é–¢æ•°ã ã‘ã§ãªãåž‹ã‚‚é‡è¦ãªå½¹å‰²ã‚’æ‹…ã£ã¦ã„ã¾ã™ã€‚アルゴリズムを考ãˆã‚‹æ™‚ã€æ‰‹ç¶šãã®æœ€é©åŒ–ã ã‘ã§ãªãã€æ£ã—ã„データ型をé¸æŠžã™ã‚‹ã“ã¨ãŒã‚·ãƒ³ãƒ—ルãªã‚¢ãƒ«ã‚´ãƒªã‚ºãƒ ã‚’å°Žãã€å®Ÿè£…をコンパクトã«ã§ãã‚‹ã¨ã„ã†ã®ã¯ã‚ˆãã‚る話ã§ã™ã€‚今回ã¯éžå¸¸ã«å˜ç´”ãªåž‹ã§ã‚ã‚ŠãªãŒã‚‰å¹…優先探索ã¨ã„ã†ã‚¢ãƒ«ã‚´ãƒªã‚ºãƒ ã®ã‚¨ãƒƒã‚»ãƒ³ã‚¹ã‚’è©°ã‚込んã Levelsã¨ã„ã†ãƒ‡ãƒ¼ã‚¿åž‹ ã«ã¤ã„ã¦ç´¹ä»‹ã—ãŸã„ã¨æ€ã„ã¾ã™ã€‚ ピタゴラス数を列挙ã™ã‚‹ ピタゴラス数ã¨ã¯ãƒ”タゴラスã®å®šç†ã«ãŠã‘ã‚‹é–¢ä¿‚å¼ a^2 + b^2 = c^2 を満ãŸã™è‡ªç„¶æ•°ã®ä¸‰ã¤çµ„ã§ã™ã€‚ Haskellã®ãƒªã‚¹ãƒˆã¯é…延評価ãªã®ã§ å…¨ã¦ã®è‡ªç„¶æ•°ã®ä¸‰ã¤çµ„を列挙ã™ã‚‹ 列挙ã—ãŸè‡ªç„¶æ•°ã®ä¸ã‹ã‚‰é–¢ä¿‚å¼ã‚’満ãŸã™ã‚‚ã®ã ã‘抽出ã™ã‚‹ ã¨ã„ã†æ‰‹é †ã§ãƒ”タゴラス数を列挙ã™ã‚‹ã“ã¨ã‚’考ãˆã¦ã¿ã¾ã—ょã†ã€‚ 実際ã“ã®æ–¹æ³•ã¯æœ‰é™ãªæŽ¢ç´¢ç¯„囲ã§ã¯ã†ã¾ã機能ã—ã¾ã™ã€‚ pyth :: [(I
クラスタリングã®ä¸å¯èƒ½æ€§å®šç†ã«ã¤ã„㦠- Qiita
背景 機械å¦ç¿’ã®æ‰‹æ³•ã®ã²ã¨ã¤ã§ã‚るクラスタリングã¯ã€ãƒ‡ãƒ¼ã‚¿ã®ç‰¹å¾´ã«ã‚ˆã‚Šåˆ†é¡žã‚’è¡Œã„ã¾ã™ã€‚クラスタリングã«ã¯æ§˜ã€…ãªæ‰‹æ³•ãŒã‚ã‚Šã¾ã™ãŒã€ãã®å¤šãã¯è·é›¢é–¢æ•°ã‚’利用ã—ã¦æœ‰é™å€‹ã®ç‚¹ã‚’分類ã—ã¾ã™ã€‚ 昨今ã€ITæ¥ç•Œã§æ©Ÿæ¢°å¦ç¿’ãŒãƒ–ームã«ãªã£ã¦ã„ã¾ã™ãŒã€ã‚¯ãƒ©ã‚¹ã‚¿ãƒªãƒ³ã‚°æ‰‹æ³•ã®èƒ½åŠ›ã«ã¤ã„ã¦ã€ç†è«–çš„ãªè¦–点ã‹ã‚‰ã‚ã¾ã‚Šè¨€åŠã•ã‚Œã¦ã„ãªã„ã®ã§ã¯ãªã„ã‹ã¨æ€ã„ã¾ã™(ã‚ãã¾ã§ã‚‚ã€ITæ¥ç•Œå†…ã®è©±)。利用ã—ã¦ã„る手法ã§ã€Œã§ãã‚‹ã“ã¨ã€ã ã‘ã§ãªãã€ã€Œã§ããªã„ã“ã¨ã€ã‚’ãƒãƒƒã‚リã•ã›ã‚‹ã®ã‚‚é‡è¦ãªã“ã¨ã ã¨æ€ã„ã¾ã™ã€‚実際ã€Kleinbergã•ã‚“ã®è«–æ–‡1ãªã©ã§ã€ã‚¯ãƒ©ã‚¹ã‚¿ãƒªãƒ³ã‚°ã®èƒ½åŠ›ãƒ»å®šå¼åŒ–ã«ã¤ã„ã¦ç ”究ã•ã‚Œã¦ã„ã¾ã™ã€‚ Kleinbergã•ã‚“ã®è«–æ–‡1ã§ã¯ã€ã‚¯ãƒ©ã‚¹ã‚¿ãƒªãƒ³ã‚°ã®ç‰¹å¾´ã®ä¸ã‹ã‚‰ã‚¹ã‚±ãƒ¼ãƒ«ä¸å¤‰æ€§ã€è±Šå¯Œæ€§ã€ä¸€è²«æ€§ã‚’å–り上ã’ã€3種ã™ã¹ã¦ã‚’満ãŸã™ã‚¯ãƒ©ã‚¹ã‚¿ãƒªãƒ³ã‚°ã¯å˜åœ¨ã—ãªã„ã€ã¨ã„ã†å®šç†ãŒç¤ºã•ã‚Œã¦ã„ã¾ã™ã€‚ã“れを**クラスタリングã®ä¸å¯èƒ½æ€§å®šç†(Impossibi
how-a-kalman-filter-works-in-pictures
I have to tell you about the Kalman filter, because what it does is pretty damn amazing. Surprisingly few software engineers and scientists seem to know about it, and that makes me sad because it is such a general and powerful tool for combining information in the presence of uncertainty. At times its ability to extract accurate information seems almost magical— and if it sounds like I’m talking t
Okasaki's Lazy Queues - LiquidHaskell
The “Hello World!†example for fancy type systems is probably the sized vector or list append function (“The output has size equal to the sum of the inputs!â€). One the one hand, it is perfect: simple enough to explain without pages of code, yet complex enough to show off whats cool about dependency. On the other hand, like the sweater I’m sporting right now, it’s a bit well-worn and worse, was nev
ã€éšæ™‚追記予定】èªæ›¸ãƒ¡ãƒ¢ï¼šé–¢æ•°ãƒ—ãƒã‚°ãƒ©ãƒŸãƒ³ã‚° ç 玉ã®ã‚¢ãƒ«ã‚´ãƒªã‚ºãƒ デザイン - claustrophobia
「関数プãƒã‚°ãƒ©ãƒŸãƒ³ã‚° ç 玉ã®ã‚¢ãƒ«ã‚´ãƒªã‚ºãƒ デザインã€ã‚’è²·ã„ã¾ã—ãŸã€‚ 「関数プãƒã‚°ãƒ©ãƒŸãƒ³ã‚° ç 玉ã®ã‚¢ãƒ«ã‚´ãƒªã‚ºãƒ デザインã€è²·ã£ãŸã€‚äºŒç« ã¾ã§èªã‚“ã ã‘ã©èªã¿å¿œãˆã‚ã£ã¦ã‚ˆã„æ„Ÿã˜ã€‚ pic.twitter.com/tGSm0ceW0E— xenophobia (@xenophobia__) 2014, 11月 14 èªã¿ãªãŒã‚‰ãƒ„イートã—ã¦ãŸã‚‰ ç 玉ã®ã‚¢ãƒ«ã‚´ãƒªã‚ºãƒ デザインã€ãŠã‚ŒãŒè²·ã†é ƒã«ã¯ @xenophobia__ ã•ã‚“ãŒã‚ã‹ã‚Šã«ãã„ã¨æ€ã£ãŸã¨ã“ã‚を記事ã«ã¾ã¨ã‚ã¦ãã‚Œã¦ã¦ã€ãれを見れã°ã‚¹ãƒ ーズã«èªã¿é€²ã‚られるんã ã‚ã†ãªãƒ¼ï¼â€” ã¨ã‚€ã‚‰ã£ãー (@masquerade0324) 2014, 11月 14 ã¨ã„ã†ãƒ•ãƒªã‚’å—ã‘ãŸã®ã§ã€ç†è§£ã‚’æ·±ã‚ã‚‹ãŸã‚ã«ã‚‚メモを書ãã“ã¨ã«ã—ã¾ã™ã€‚ éšæ™‚æ›´æ–°ã—ã¦ã„ãã¾ã™ãŒã€ã¨ã‚Šã‚ãˆãš3ç« ã¾ã§ã€‚ （11/19追記）サãƒãƒ¼ãƒˆã‚µã‚¤ãƒˆãŒã‚るよã†ã§ã™ã€‚ãªã‚“ã¨ã“ã®è¨˜äº‹ã«ãƒªãƒ³ã‚¯ã‚’è²¼ã£ã¦ã„ãŸã ãã¾ã—
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日本ã®ç‰©æµã‚·ã‚¹ãƒ†ãƒ ã®ã‚‚ã®ã™ã”ã•ã¯ã‚ˆã知られãŸã¨ã“ã‚。徹底的ãªã‚³ãƒ³ãƒ”ューター化ã«ã‚ˆã‚‹ç®¡ç†ã¨ã€ãã—ã¦æ—¥æœ¬ã®é“路・通信インフラã®å„ªç§€ã•ã«ã‚ˆã£ã¦é«˜é€Ÿã‹ã¤ç²¾å¯†ãªè¼¸é€ã‚’å¯èƒ½ã«ã—ã¦ã„ã‚‹ã‚ã‘ã§ã™ãŒã€ã“ã‚Œã«ã¾ã•ã‚‹ã¨ã‚‚劣らãªã„システムãŒã‚¤ãƒ³ãƒ‰ã«ã‚‚ã‚ã‚Šã¾ã—ãŸã€‚社会的ãªã‚¤ãƒ³ãƒ•ãƒ©ãŒã¾ã ã¾ã 未整備ãªã®ã«ã‚‚é–¢ã‚らãšã€ä¼ç¥¨ã‚‚POS端末もæºå¸¯é›»è©±ã‚‚一切ãªã‚“ã«ã‚‚使ã‚ãšã«æ¯Žæ—¥20万食ã®æ˜¼é£Ÿã‚’時間通りã«å±Šã‘る「ダッãƒãƒ¯ãƒ¼ãƒ©ãƒ¼ã€ã¨ã„ã†é©šç•°ã®ã‚·ã‚¹ãƒ†ãƒ ãŒå˜åœ¨ã—ã¦ã„ã‚‹ã®ã§ã™ã€‚一体ã©ã‚“ãªäººé”ãªã®ã§ã—ょã†ã‹ã€‚ 目次 ダッãƒãƒ¼ãƒ¯ãƒ¼ãƒ©ãƒ¼ã¨ã¯ ミスã¯1600万回ã«1回ã€é©šç•°ã®ä½Žã‚¨ãƒ©ãƒ¼çŽ‡ 超複雑ãªãƒãƒƒãƒˆãƒ¯ãƒ¼ã‚¯ã‚’人力ã§é‹å–¶ã™ã‚‹ãƒ€ãƒƒãƒãƒ¼ãƒ¯ãƒ¼ãƒ©ãƒ¼é” ãªãœãƒ€ãƒƒãƒãƒ¼ãƒ¯ãƒ¼ãƒ©ãƒ¼ã¯è¶…低料金ã§è¶…優良サービスをæä¾›ã§ãã‚‹ã®ã‹ï¼Ÿ ダッãƒãƒ¼ãƒ¯ãƒ¼ãƒ©ãƒ¼ã¨çµ„ç¹”ã®ç¤¾ä¼šè²¢çŒ® ダッãƒãƒ¼ãƒ¯ãƒ¼ãƒ©ãƒ¼ã¨ã¯ インドã®äººé”ã«ã¯ã€3食ãã¡ã‚“ã¨èª¿ç†ã—ãŸæ¸©ã‹ã„物を食ã¹ã‚‹ã€ã¨ã„ã†é£Ÿæ–‡åŒ–ãŒã‚ã‚Šã¾ã™ã€‚ã“ã‚Œã¯
翻訳：Paxos Made Simple - minghaiã®æ—¥è¨˜
Paxos made simple (PDF) Leslie Lamport 01 Nov 2001 ç°¡å˜ã«ã—ãŸPaxos レスリー・ランãƒãƒ¼ãƒˆ 2001å¹´11月1æ—¥ 注：誤訳ã€èª¤å—ã€ãã®ä»–ã”指摘æ“迎。翻訳者ã¯èª¤è¨³ã«é–¢ã—ã¦ä¸€åˆ‡ã®è²¬ä»»ã‚’å–ã‚Šã¾ã›ã‚“:-) Abstract The Paxos algorithm, when presented in plain English, is very simple. è¦ç´„ Paxosアルゴリズムã¯ã€æ™®é€šã®è¨€è‘‰ã§èªžã‚Œã°ã¨ã¦ã‚‚ç°¡å˜ã 。 1 Introduction The Paxos algorithm for implementing a fault-tolerant distributed system has been regarded as difficult to understand, perhaps because the original
Merkle tree - Wikipedia
An example of a binary hash tree. Hashes 0-0 and 0-1 are the hash values of data blocks L1 and L2, respectively, and hash 0 is the hash of the concatenation of hashes 0-0 and 0-1. In cryptography and computer science, a hash tree or Merkle tree is a tree in which every "leaf" node is labelled with the cryptographic hash of a data block, and every node that is not a leaf (called a branch, inner nod
Consistent Hashingã‚’ãŸã‚ã™ - Tomorrow is always fresh with no mistake in it.ï¼ å‚™å¿˜éŒ²
最近ãƒãƒƒãƒˆã‚’ã¿ã¦ã„ãŸã‚‰ã€ã€ŒConsistent Hasing ã‚’ Ruby ã§è©¦ã™ã€ã«ã¦ã€rubyを使ã£ã¦Consistent Hashingã‚’ãŸã‚ã—ã¦ã„ãŸã€‚ãã®ãƒ—ãƒã‚°ãƒ©ãƒ ã¯ã€ã‚‚ã¨ã‚‚ã¨ã€ŒConsistent Hashing を試ã™ã€ã«ã‚ã‚‹perlã®ãƒ—ãƒã‚°ãƒ©ãƒ ã‚’rubyã«ã—ãŸãã†ã§ã€ç§ã‚‚Javaã§ä½œæˆã—ã¦ã¿ã¾ã—ãŸã€‚ Perl版ã€Ruby版ã¨åŒã˜ãã€ã¾ãšã¯å¼•æ•°ã§æŒ‡å®šã•ã‚ŒãŸãƒŽãƒ¼ãƒ‰å（複数）ã®ãƒãƒƒã‚·ãƒ¥å€¤ã‚’md5ã§æ±‚ã‚ã¾ã™ã€‚次ã«'A'〜'Z'ã®ãƒãƒƒã‚·ãƒ¥å€¤ã‚’md5ã§æ±‚ã‚ã€ãã‚Œã¨ç‰ã—ã„ã‹ã€ãれより大ãã„ãŒã‚‚ã£ã¨ã‚‚è¿‘ã„ãƒãƒƒã‚·ãƒ¥å€¤ã‚’ã‚‚ã¤ãƒŽãƒ¼ãƒ‰ã‚’処ç†ã•ã›ã‚‹ãƒŽãƒ¼ãƒ‰ã«æ±ºå®šã—ã¾ã™ã€‚ 'A'〜'Z'ã®å€¤ã¯ã€ã‚¯ãƒ©ã‚¤ã‚¢ãƒ³ãƒˆãŒåˆ©ç”¨ã™ã‚‹ã‚µãƒ¼ãƒã‚’決定ã™ã‚‹ãŸã‚ã®æƒ…å ±ã®ä¾‹ã¨ã—ã¦ä½¿ã£ã¦ã„ã¾ã™ã€‚実際ã®ã‚·ã‚¹ãƒ†ãƒ ã§ã¯ã€ãƒ¦ãƒ¼ã‚¶æ¯Žã«åˆ©ç”¨ã™ã‚‹ã‚µãƒ¼ãƒã‚’振り分ã‘ã‚‹ãªã‚‰ã€ãƒã‚°ã‚¤ãƒ³IDãªã©ãŒè©²å½“ã™ã‚‹ã¨æ€ã„ã¾ã™ã€‚ public class Main {
Zab vs. Paxos - Apache ZooKeeper - Apache Software Foundation
Is Zab just a special implementation of Paxos?No, Zab is a different protocol than Paxos, although it shares with it some key aspects, as for example: A leader proposes values to the followersLeaders wait for acknowledgements from a quorum of followers before considering a proposal committed (learned)Proposals include epoch numbers, which are similar to ballot numbers in PaxosThe main conceptual d
Cache oblivious array operations
I must confess that secretly the article I wrote last time (in which I introduced ndarrays) was just a pretext to introduce the stuff that I am going to write about today: which is the cwise library for array operations in JavaScript. Array operations Briefly, array operations are component-wise operations that can be applied across multiple multidimensional arrays simultaneously.  Array operation
ビザンãƒãƒ³å°†è»å•é¡Œ - Wikipedia
ビザンãƒãƒ³å°†è»å•é¡Œï¼ˆãƒ“ザンãƒãƒ³ã—ょã†ãã‚“ã‚‚ã‚“ã ã„ã€è‹±èªž: Byzantine Generals Problem）ã¨ã¯ã€ç›¸äº’ã«é€šä¿¡ã—ã‚ã†ä½•ã‚‰ã‹ã®ã‚ªãƒ–ジェクト群ã«ãŠã„ã¦ã€é€šä¿¡ãŠã‚ˆã³å€‹ã€…ã®ã‚ªãƒ–ジェクトãŒæ•…éšœã¾ãŸã¯æ•…æ„ã«ã‚ˆã£ã¦å½ã®æƒ…å ±ã‚’ä¼é”ã™ã‚‹å¯èƒ½æ€§ãŒã‚ã‚‹å ´åˆã«ã€å…¨ä½“ã¨ã—ã¦æ£ã—ã„åˆæ„ã‚’å½¢æˆã§ãã‚‹ã‹ã‚’å•ã†å•é¡Œã§ã‚ã‚‹[1]。フォールトトレラントシステムã§ã®å¤šæ•°æ±ºã®å¦¥å½“性や分散コンピューティングã®å‡¦ç†ã®å¦¥å½“性ã«é–¢ã‚ã‚‹å•é¡Œã¨è¨€ãˆã€äºŒäººã®å°†è»å•é¡Œã‚’一般化ã—ãŸã‚‚ã®ã¨è¨€ãˆã‚‹ã€‚ ビザンãƒãƒ³å°†è»å•é¡Œã«å¸°çµã•ã‚Œã‚‹æ•…障や障害をビザンãƒãƒ³æ•…障（Byzantine Failureã€ã‚ã‚‹ã„ã¯ãƒ“ザンãƒãƒ³éšœå®³ï¼‰ã¨å‘¼ã¶ã€‚ã¾ãŸã€ãƒ“ザンãƒãƒ³å°†è»å•é¡ŒãŒç™ºç”Ÿã—ã¦ã‚‚全体ã¨ã—ã¦æ£ã—ã動作ã™ã‚‹ã‚·ã‚¹ãƒ†ãƒ をビザンãƒãƒ³ãƒ»ãƒ•ã‚©ãƒ¼ãƒ«ãƒˆãƒˆãƒ¬ãƒ©ãƒ³ãƒˆæ€§ï¼ˆByzantine Fault Tolerance）ãŒã‚ã‚‹ã¨ã„ã†ã€‚ ビザンãƒãƒ³å°†è»å•é¡Œã¯ã€æ±ãƒãƒ¼ãƒžå¸å›½ï¼ˆãƒ“ザ
http://dspace.info.gscc.osaka-cu.ac.jp/~fujita/RESEARCH/KANSAIP2P/chubby.txt
The Chubby lock service for loosely-coupled distributed systems ○　背景 ・Chubby ã®æ¦‚è¦ - é«˜ä¿¡é ¼ã‚¹ãƒˆãƒ¬ãƒ¼ã‚¸ã‹ã‚‰æ§‹æˆã•ã‚Œã‚‹ç–Žçµåˆåž‹åˆ†æ•£ã‚·ã‚¹ãƒ†ãƒ - è’ã„粒度 (coarse-grained) ã®ãƒãƒƒã‚ングをæä¾›ã™ã‚‹ - è¨è¨ˆä¸Šã®èª²é¡Œã¯ãƒ‘フォーマンスを阻害ã™ã‚‹æœ‰åŠ¹æ€§ã¨ä¿¡é ¼åº¦ ・ãƒãƒƒã‚¯ãƒ»ã‚µãƒ¼ãƒ“スã®ç›®çš„ → クライアントã®ã‚¢ã‚¯ãƒ†ã‚£ãƒ“ティをåŒæœŸã—環境ã«é–¢ã‚ã‚‹æƒ…å ±ã‚’ä¸€è‡´ã•ã›ã‚‹ ・Chubby ã®ç›®æ¨™ - 多ãã®ã‚¯ãƒ©ã‚¤ã‚¢ãƒ³ãƒˆã«ä¿¡é ¼æ€§ã‚’有効性をæä¾›ã™ã‚‹ - 分ã‹ã‚Šæ˜“ã„セマンティックスã«åŸºã¥ã - スループットã¨è¨˜æ†¶å®¹é‡ã¯ï¼’次的ãªç›®æ¨™ ・Chubby ã®ã‚¯ãƒ©ã‚¤ã‚¢ãƒ³ãƒˆã‚¤ãƒ³ã‚¿ãƒ¼ãƒ•ã‚§ãƒ¼ã‚¹ → シンプルãªãƒ•ã‚¡ã‚¤ãƒ«ã‚·ã‚¹ãƒ†ãƒ ・インタフェースã¨ä¼¼ã¦ã„ã‚‹ - ファイル全体ã«å¯¾ã™ã‚‹ãƒªãƒ¼ãƒ‰ãƒ»ãƒ©ã‚¤ãƒˆ - アドãƒã‚¤ã‚¶ãƒªãƒ»ãƒãƒƒã‚¯ - イベント通知（ファイル更
Hilbert curve - Wikipedia
First six iterations of the Hilbert curve The Hilbert curve (also known as the Hilbert space-filling curve) is a continuous fractal space-filling curve first described by the German mathematician David Hilbert in 1891,[1] as a variant of the space-filling Peano curves discovered by Giuseppe Peano in 1890.[2] Because it is space-filling, its Hausdorff dimension is 2 (precisely, its image is the uni
Bloom Filters by Example
A Bloom filter is a data structure designed to tell you, rapidly and memory-efficiently, whether an element is present in a set. The price paid for this efficiency is that a Bloom filter is a probabilistic data structure: it tells us that the element either definitely is not in the set or may be in the set. The base data structure of a Bloom filter is a Bit Vector. Here's a small one we'll use to
手続ã脳ã«ã‚ˆã‚‹Haskell -- Sorting Algorithms
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