From 6d68d11fa237d53e922bc952d0381f734bb20459 Mon Sep 17 00:00:00 2001 From: camera-2018 <2907618001@qq.com> Date: Mon, 24 Apr 2023 20:02:54 +0800 Subject: [PATCH] =?UTF-8?q?feat:=20=E6=94=B9=E4=B8=80=E5=8D=8A=20=E6=B2=A1?= =?UTF-8?q?=E7=94=B5=E4=BA=86?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- .vitepress/config.js | 6 +- ...‚念解释 and 一个好的推è系统.md | 58 +++------- .../4.6.6.2.2.3推è系统实例.md | 69 +++++++++++ .../4.6.6.2.2.4利用用户行为数æ®.md | 108 ++++++++++++++++++ .../4.6.6.2.2.5推è系统冷å¯åЍ.md | 1 + .../4.6.6.2.2.6利用标签信æ¯.md | 1 + ...md => 4.6.6.2.2.7利用上下文信æ¯.md} | 0 .../static/推è引擎的架构.png | Bin 0 -> 57500 bytes .../static/推è系统外围架构图.png | Bin 0 -> 35545 bytes .../static/推è系统的架构图.png | Bin 0 -> 60877 bytes .../static/用户物å“二分图模型.png | Bin 0 -> 32960 bytes 11 files changed, 202 insertions(+), 41 deletions(-) create mode 100644 4.人工智能/4.6.6.2.2.3推è系统实例.md create mode 100644 4.人工智能/4.6.6.2.2.4利用用户行为数æ®.md create mode 100644 4.人工智能/4.6.6.2.2.5推è系统冷å¯åЍ.md create mode 100644 4.人工智能/4.6.6.2.2.6利用标签信æ¯.md rename 4.人工智能/{4.6.6.2.2.3利用上下文信æ¯.md => 4.6.6.2.2.7利用上下文信æ¯.md} (100%) create mode 100644 4.人工智能/static/推è引擎的架构.png create mode 100644 4.人工智能/static/推è系统外围架构图.png create mode 100644 4.人工智能/static/推è系统的架构图.png create mode 100644 4.人工智能/static/用户物å“二分图模型.png diff --git a/.vitepress/config.js b/.vitepress/config.js index 49a4f88..d256b00 100644 --- a/.vitepress/config.js +++ b/.vitepress/config.js @@ -384,7 +384,11 @@ export default defineConfig({ { text: '4.6.6.2.2基于数æ®çš„角度,看待推è系统的构造', link: '/4.人工智能/4.6.6.2.2基于数æ®çš„角度,看待推è系统的构造' }, { text: '4.6.6.2.2.1《推è系统实践》读åŽçš„一些想法', link: '/4.人工智能/4.6.6.2.2.1《推è系统实践》读åŽçš„一些想法' }, { text: '4.6.6.2.2.2推è系统概念解释 and 一个好的推è系统', link: '/4.人工智能/4.6.6.2.2.2推è系统概念解释 and 一个好的推è系统' }, - { text: '4.6.6.2.2.3利用上下文信æ¯', link: '/4.人工智能/4.6.6.2.2.3利用上下文信æ¯' }, + { text: '4.6.6.2.2.3推è系统实例', link: '/4.人工智能/4.6.6.2.2.3推è系统实例' }, + { text: '4.6.6.2.2.4利用用户行为数æ®', link: '/4.人工智能/4.6.6.2.2.4利用用户行为数æ®' }, + { text: '4.6.6.2.2.5推è系统冷å¯åЍ', link: '/4.人工智能/4.6.6.2.2.5推è系统冷å¯åЍ' }, + { text: '4.6.6.2.2.6利用标签信æ¯', link: '/4.人工智能/4.6.6.2.2.6利用标签信æ¯' }, + { text: '4.6.6.2.2.7利用上下文信æ¯', link: '/4.人工智能/4.6.6.2.2.7利用上下文信æ¯' }, ] }, { text: '4.6.6.2.3åºåˆ—化推è', link: '/4.人工智能/4.6.6.2.3åºåˆ—化推è' }, diff --git a/4.人工智能/4.6.6.2.2.2推è系统概念解释 and 一个好的推è系统.md b/4.人工智能/4.6.6.2.2.2推è系统概念解释 and 一个好的推è系统.md index 28c1771..d9ce1f9 100644 --- a/4.人工智能/4.6.6.2.2.2推è系统概念解释 and 一个好的推è系统.md +++ b/4.人工智能/4.6.6.2.2.2推è系统概念解释 and 一个好的推è系统.md @@ -1,6 +1,6 @@ # 推è系统概念解释 and 一个好的推è系统 -- 用户满æ„度 〠+- 用户满æ„度 - 用户满æ„度是推è系统测评的é‡è¦æŒ‡æ ‡ï¼Œä½†æ˜¯å®žé™…上,用户满æ„度数æ®èŽ·å¾—çš„æ–¹å¼å分有é™ï¼Œå› ä¸ºè¿™æ˜¯ä¸€ç§ç”¨æˆ·çš„主观情感。 - 设计åˆé€‚的方å¼å¯¹äºŽç”¨æˆ·çš„æ»¡æ„度进行回收分æžï¼Œæ˜¯æ”¹è¿›æŽ¨è系统的一个很好的方å¼ã€‚这样的的方å¼åŒ…括但ä¸é™äºŽï¼Œè®¾è®¡åˆé€‚的调查问å·ï¼Œåœ¨ç‰©å“的购买结æŸåŽé™„上一份满æ„度调查。 @@ -9,27 +9,27 @@ - å¬å›žçއ(Recall) -$$ -Recall =\frac{\sum_{u\in U}{\vert R(u)\cap T(u) \vert}}{\sum_{u\in U \vert T(u)\vert}} -$$ + $$ + Recall =\frac{\sum_{u\in U}{\vert R(u)\cap T(u) \vert}}{\sum_{u\in U \vert T(u)\vert}} + $$ -``` -- 其中 $$R(u)$$ 是根æ®ç”¨æˆ·åœ¨è®­ç»ƒé›†ä¸Šçš„行为给用户åšå‡ºçš„æŽ¨è列表, $$T(u)$$ 是用户在测试集上的行为列表。 -- å¬å›žçŽ‡çš„æ„义?å¯ä»¥å‚考机器学习中留下的定义进行ç†è§£ -``` + - 其中 $R(u)$ 是根æ®ç”¨æˆ·åœ¨è®­ç»ƒé›†ä¸Šçš„行为给用户åšå‡ºçš„æŽ¨è列表, $T(u)$ 是用户在测试集上的行为列表。 + + - å¬å›žçŽ‡çš„æ„义?å¯ä»¥å‚考机器学习中留下的定义进行ç†è§£ + - 精确率 -$$ -Precision =\frac{\sum_{u\in U}{\vert R(u)\cap T(u)\vert}}{\sum_{u\in U}{\vert R(u) \vert}} -$$ + $$ + Precision =\frac{\sum_{u\in U}{\vert R(u)\cap T(u)\vert}}{\sum_{u\in U}{\vert R(u) \vert}} + $$ -``` -- 其中 $$R(u)$$ 是根æ®ç”¨æˆ·åœ¨è®­ç»ƒé›†ä¸Šçš„行为给用户åšå‡ºçš„æŽ¨è列表, $$T(u)$$ 是用户在测试集上的行为列表。 -- 精确率的æ„义? -``` + - 其中 $R(u)$ 是根æ®ç”¨æˆ·åœ¨è®­ç»ƒé›†ä¸Šçš„行为给用户åšå‡ºçš„æŽ¨è列表, $T(u)$ 是用户在测试集上的行为列表。 + + - 精确率的æ„义? + - 覆盖率 @@ -38,38 +38,16 @@ $$ $$ Coverage = \frac{\vert \bigcup_{u\in U}{R(u)}\vert}{\vert I \vert} $$ - - 其中,用户集åˆä¸º - $$ - U$$ ,系统为æ¯ä½ç”¨æˆ·æŽ¨è一个长度为 - $$ - - N - $$ - 的物å“列表 - $$ - - R(u)$$ + - 其中,用户集åˆä¸º $U$ ,系统为æ¯ä½ç”¨æˆ·æŽ¨è一个长度为 $N$ 的物å“列表 $R(u)$ - 覆盖率的æ„义:覆盖率越高,以为这系统中被推è给用户的物å“ï¼Œå æ‰€æœ‰ç‰©å“的比例越大,对于一个好的推è系统,ä¸ä»…éœ€è¦æœ‰è¾ƒé«˜çš„用户满æ„åº¦ï¼Œè¿˜éœ€è¦æœ‰è¾ƒé«˜çš„覆盖率。 - å½“ç„¶å¯¹äºŽè¦†ç›–çŽ‡çš„å®šä¹‰ï¼Œä¸æ­¢ä»¥ä¸Šçš„这一ç§ï¼Œç”šè‡³è¯´ï¼Œåœ¨å®žé™…使用上,上述简å•的覆盖率ä¸è¶³ä»¥æ”¯æ’‘å¤§è§„æ¨¡å¤æ‚系统的覆盖率计算,所以如何对于覆盖率进行修正和更新?信æ¯ç†µä¸ŽåŸºå°¼ç³»æ•°ï¼ - 推è了解,马太效应,一个强者更强,弱者更弱的效应,在推èç³»ç»Ÿä¸­ä¹ŸåŒæ ·å­˜åœ¨ã€‚ - 多样性 - - å‡è®¾ï¼Œ + - å‡è®¾ï¼Œ$s(i,j)$ å®šä¹‰äº†ç‰©å“ i å’Œ j 之间的相似度,给用户 $u$ 的推è列表 $R(u)$的多样性定义: $$ - s(i,j) + Diversity = 1- \frac{\sum_{i,j\in R(u),i\ne j}{s(i,j)}}{\frac{1}{2}\vert R(u)\vert (\vert R(u)-1\vert)} $$ - - å®šä¹‰äº†ç‰©å“ i å’Œ j 之间的相似度,给用户 - $$ - u$$ 的推è列表 - $$ - - R(u) - $$ - 的多样性定义: - $$ - - Diversity = 1- \frac{\sum_{i,j\in R(u),i\ne j}{s(i,j)}}{\frac{1}{2}\vert R(u)\vert (\vert R(u)-1\vert)}$$ - 推è系统整体的多样性å¯ä»¥å®šä¹‰ä¸ºï¼Œç”¨æˆ·æŽ¨è列表多样性的平å‡å€¼ï¼š $$ Diversity = \frac{1}{\vert U\vert}\sum_{u\in U}{Diversity(R(u))} diff --git a/4.人工智能/4.6.6.2.2.3推è系统实例.md b/4.人工智能/4.6.6.2.2.3推è系统实例.md new file mode 100644 index 0000000..4224394 --- /dev/null +++ b/4.人工智能/4.6.6.2.2.3推è系统实例.md @@ -0,0 +1,69 @@ +# 推è系统的外围架构 + +![推è系统外围架构图](https://hdu-cs-wiki.oss-cn-hangzhou.aliyuncs.com/推è系统外围架构图.png) + +
推è系统外围架构图
+ +在外围结构中,我们有以下部分: + +- **UI界é¢**:负责与用户进行交互,并收集用户的å„ç§è¡Œä¸ºæ•°æ®è®°å½•至日志系统。 + +- **日志系统**:通过日志系统,将用户的行为数æ®å­˜å‚¨è‡³ç”¨æˆ·æ—¥å¿—存储系统。 + +- **用户日志存储系统**:å¯èƒ½å­˜å‚¨åœ¨å†…存缓存中,数æ®åº“中或者文件系统中。 + +- **推è系统**:分æžè¡Œä¸ºæ•°æ®ï¼Œç”ŸæˆæŽ¨è列表,展示至UI界é¢ä¾›ç”¨æˆ·é€‰æ‹©ã€‚ + +# 推è系统的架构 +推èç³»ç»Ÿçš„ä»»åŠ¡é›†ä¸­äºŽï¼šæ ¹æ®æä¾›çš„æ•°æ®ï¼Œç”Ÿæˆç”¨æˆ·çš„æŽ¨è列表。这个任务å¯ä»¥æŠ½è±¡ä¸ºä¸€ä¸ªä»Žç”¨æˆ·é€šè¿‡å„ç§å„æ ·çš„ç‰¹å¾æœ€ç»ˆèµ°åˆ°ä¸åŒç‰©å“的过程。而这个过程åˆå¯ä»¥æ‹†è§£æˆä¸¤ä¸ªéƒ¨åˆ†ï¼šä¸€æ˜¯å¦‚何生æˆç”¨æˆ·çš„特å¾ï¼ŒäºŒæ˜¯å¦‚何根æ®ç‰¹å¾æ‰¾åˆ°ç‰©å“。 + +而基于之å‰å­¦ä¹ çš„å„ç§çŸ¥è¯†ï¼Œæˆ‘们å¯ä»¥å¯¹äºŽè¿™ä¸¤ä¸ªéƒ¨åˆ†æ‰¾åˆ°å¯¹åº”的方法。生æˆç‰¹å¾å¯ä»¥çœ‹æˆæ˜¯åœ¨åºžå¤§çš„æ•°æ®é›†ä¸­æ‰¾åˆ°ä¸€ä¸ªé€‚åˆçš„分类规则,例如:通过基于上下文信æ¯åˆ†ç±»ï¼Œé€šè¿‡æ ‡ç­¾ä¿¡æ¯ï¼Œåˆ©ç”¨è¡Œä¸ºä¿¡æ¯ç­‰ï¼Œè€Œæ ¹æ®ç‰¹å¾æ‰¾åˆ°ç‰©å“å¯ä»¥çœ‹æˆæ˜¯åŸºäºŽä¸åŒç‰¹å¾ä¸‹çš„计算用户对于物å“的兴趣度。(待斟酌) + +若是将推è系统的任务细分,å¯ä»¥ç»“åˆçŽ°å®žå®žé™…æƒ…å†µï¼šå°†æœ€æ–°åŠ å…¥çš„ç‰©å“æŽ¨è给用户;商业上需è¦å®£ä¼ çš„ç‰©å“æŽ¨è给用户;为用户推èä¸åŒç§ç±»çš„物å“。 +**夿‚的特å¾å’Œæƒ…况ä¸åŒçš„任务**会让推è系统å˜å¾—éžå¸¸å¤æ‚,所以推è系统的架构为了方便考虑,采用多个ä¸åŒçš„æŽ¨è引擎组æˆï¼Œæ¯ä¸ªæŽ¨è引擎专门负责æŸä¸€ç±»ç‰¹å¾å’Œä¸€ç§ä»»åŠ¡ï¼Œè€ŒæŽ¨è系统å†å°†æŽ¨è引擎的结果按照一定的优先级åˆå¹¶ï¼ŒæŽ’åºå¹¶è¿”回给UI系统。 + +![推è系统的架构图](https://hdu-cs-wiki.oss-cn-hangzhou.aliyuncs.com/推è系统的架构图.png) + +
推è系统的架构
+ 如上图所示。 + + 这样åšèƒ½å¤Ÿçµæ´»çš„æ›´æ¢æŽ¨è引擎,以适应ä¸åŒç”¨æˆ·æˆ–ä¸åŒåœºæ™¯ä¸‹çš„æŽ¨è需求。 + +# 推è引擎的架构 +推è引擎的架构主è¦åŒ…括三个部分: + +- 特å¾å‘é‡ç”Ÿæˆéƒ¨åˆ†ï¼ˆç‰¹å¾å‘é‡è¾“出部分) + +- åˆå§‹æŽ¨è物å“列表生æˆéƒ¨åˆ† + +- 推è列表筛选ã€è¿‡æ»¤ã€é‡æŽ’列部分 + +![推è引擎的架构](https://hdu-cs-wiki.oss-cn-hangzhou.aliyuncs.com/推è引擎的架构.png) + +以上为推è引擎的架构图。 + +## 特å¾å‘é‡ç”Ÿæˆéƒ¨åˆ† +特å¾å‘é‡ç”Ÿæˆæ—¶ï¼Œè‹¥ç”¨æˆ·çš„人å£ç»Ÿè®¡å­¦ç‰¹å¾ç­‰ä¿¡æ¯ç›´æŽ¥ç¼“å­˜åœ¨å†…å­˜ä¸­ï¼Œåˆ™æŽ¨èæ˜¯ç›´æŽ¥æ‹¿åˆ°ç”¨æˆ·çš„ç‰¹å¾æ•°æ®è¿›è¡Œç‰¹å¾å‘é‡ç”Ÿæˆã€‚ + +而å¦ä¸€ç§æƒ…况中,系统缺少人å£ç»Ÿè®¡å­¦ç‰¹å¾æˆ–是无法直接调用,则需è¦ä»Žç”¨æˆ·çš„行为信æ¯ä¸­ç”Ÿæˆç‰¹å¾å‘é‡ã€‚此时,就需è¦å°†ç”¨æˆ·è¡Œä¸ºçš„一些特å¾ç´ çº³å…¥è€ƒè™‘,并将这些特å¾èµ‹äºˆé€‚åˆçš„æƒé‡è¿›è¡Œè®¡ç®—。 + +## åˆå§‹æŽ¨è物å“åˆ—è¡¨ç”Ÿæˆ + 由得到的特å¾å‘é‡ï¼Œè¿›è¡Œç‰¹å¾-物å“è¿ç§»ï¼Œä»Žè€Œç”Ÿæˆåˆå§‹çš„æŽ¨è物å“列表 + +## 推è列表筛选ã€è¿‡æ»¤ã€é‡æŽ’列 + +- **筛选过滤模å—** + 得到了åˆå§‹åŒ–的推è列表之åŽï¼Œæ­¤æ—¶æ˜¯ä¸èƒ½ç›´æŽ¥å°†å…¶å±•示给用户的,因为在这个列表中ä»ç„¶å­˜åœ¨åŒ…括:**用户已产生过行为**ã€**候选物å“外的物å“**ã€**æŸäº›è´¨é‡å¾ˆå·®çš„物å“**,等ä¸ç¬¦åˆæŽ¨è原则的物å“,所以需è¦è¿›è¡Œç¬¬ä¸€æ­¥ç­›é€‰è¿‡æ»¤ã€‚ + - **æŽ’åæ¨¡å—** + å†ç»åŽ†äº†ç­›é€‰è¿‡æ»¤ä¹‹åŽçš„æŽ¨è列表,已ç»å…·æœ‰åªæ˜¯ç»™ç”¨æˆ·çš„能力了,但若是能将排å进一步更新则会æé«˜ç”¨æˆ·çš„æ»¡æ„度。对于排åè¿›è¡Œæ›´æ–°æœ‰ä»¥ä¸‹å‡ ç§æ€è·¯ï¼š + - **新颖性排å** + 为了æé«˜åˆ—表的新颖性,å¯ä»¥å¯¹åˆ—表中的热门物å“è¿›è¡Œé€‚å½“çš„é™æƒå¤„ç† + - **多样性排å** + æ€è·¯æœ‰ï¼šæŒ‰ç…§ç‰©å“的内容分类åŽï¼Œä»Žåˆ†ç±»ä¸­é€‰æ‹©æŽ’åæœ€é«˜çš„物å“ç»„åˆæŽ¨è;控制ä¸åŒæŽ¨èç†ç”±å‡ºçŽ°çš„æ¬¡æ•°ã€‚ + - **时间多样性** + 为了é¿å…ç”¨æˆ·æ¯æ¬¡ä½¿ç”¨ç³»ç»Ÿæ—¶å¾—到的推è列表没有任何å˜åŒ– + - **用户å馈** + 对于用户å馈的信æ¯åœ¨æŽ’å加æƒè®¡ç®—中进行å馈,从而生æˆå¯¹åº”的推è列表 + + + diff --git a/4.人工智能/4.6.6.2.2.4利用用户行为数æ®.md b/4.人工智能/4.6.6.2.2.4利用用户行为数æ®.md new file mode 100644 index 0000000..de60961 --- /dev/null +++ b/4.人工智能/4.6.6.2.2.4利用用户行为数æ®.md @@ -0,0 +1,108 @@ + # 用户行为数æ®ä»‹ç» + ### 什么是用户行为数æ®ï¼Ÿ + é¡¾åæ€ä¹‰ï¼Œç”¨æˆ·è¡Œä¸ºæ•°æ®æ˜¯æŒ‡ä¸€äº›èƒ½è¡¨ç¤ºç”¨æˆ·è¡Œä¸ºçš„æ•°æ®ï¼Œæœ€ç®€å•的存在形å¼å°±æ˜¯ç½‘站上的日志,包括用户在网站上的点击被记录至点击日志,完æˆä¸€æ¬¡ç½‘ç«™ç›¸åº”è¢«è®°å½•è‡³ä¼šè¯æ—¥å¿—等。 + ### 用户行为数æ®åˆ†ç±» + 显性å馈数æ®ï¼šæ˜¾å½¢å馈包括用户明确表示对物å“å–œå¥½çš„è¡Œä¸ºï¼Œä¾‹å¦‚å¯¹äºŽä¸€ä¸ªè§†é¢‘çš„é¡¶æˆ–è€…è¸©ï¼Œæ›´è¿›ä¸€æ­¥æ˜¯å¯¹äºŽè¿™ä¸ªè§†é¢‘å†™ä¸‹çš„è¯„ä»·ã€æ‰“上的标签等。 + éšå½¢å馈数æ®ï¼šéšå½¢åé¦ˆåŒ…æ‹¬ç”¨æˆ·çš„é¡µé¢æµè§ˆè¡Œä¸ºç­‰ä¸èƒ½æ˜Žç¡®å映用户兴趣的行为,包括一个视频的完播率,页é¢çš„åœç•™æ—¶é—´ç­‰æ•°æ®ã€‚ + 若是按照å馈的划分,数æ®åˆå¯ä»¥è¢«åˆ†ä¸ºæ­£å馈和负å馈,正å馈指用户的行为倾å‘于用户喜欢该物å“,而负å馈则相å + + # 用户行为数æ®åˆ†æž + ### ç”¨æˆ·æ´»è·ƒåº¦å’Œç‰©å“æµè¡Œåº¦çš„关系 + **长尾分布** 互è”网中很多数æ®éƒ½éµå¾ªé•¿å°¾åˆ†å¸ƒï¼š$f(x)=\alpha x^k$ ,用户行为数æ®åŒæ ·è•´å«é•¿å°¾åˆ†å¸ƒçš„规律。 + 令 $f_{u}(k)$ 为对 $k$ 个物å“产生过行为的用户数,$f_i(k)$ 为对 $k$ ä¸ªç”¨æˆ·äº§ç”Ÿè¿‡è¡Œä¸ºçš„ç‰©å“æ•°ã€‚那么有以下的规律存在 + $f_i(k)=\alpha_ik^{\beta_i},f_u(k)=\alpha_uk^{\beta_u}$ + + + # ååŒè¿‡æ»¤ç®—法 + ä»…å¯¹ç”¨æˆ·è¡Œä¸ºæ•°æ®æ‰€è®¾è®¡çš„æŽ¨è系统算法被称为ååŒè¿‡æ»¤ç®—法。ååŒè¿‡æ»¤ç®—法中包å«å¤šç§ç®—法:基于邻域的方法ã€éšè¯­ä¹‰æ¨¡åž‹ã€åŸºäºŽå›¾çš„éšæœºæ¸¸èµ°ç®—法。 + ### 基于邻域的算法 + 推è系统中最基本的算法,å¯ä»¥åˆ†ä¸ºåŸºäºŽç”¨æˆ·çš„ååŒè¿‡æ»¤ç›’基于物å“çš„ååŒè¿‡æ»¤ + **基于用户的ååŒè¿‡æ»¤** + 算法简介:当你想è¦å‡ºåŽ»çŽ©æ—¶ï¼Œä½ ä¼šè¯¢é—®èº«è¾¹å’Œè‡ªå·±æ¸¸çŽ©å…´è¶£ç›¸ä¼¼çš„æœ‹å‹çš„æ„è§ï¼Œå¹¶ä»Žä»–们的推è中选择你自己的出行方案,而且一般你制定的出行方案中大部分是自己为å¬è¯´è¿‡æˆ–去玩过的景点,这就是一ç§ç”Ÿæ´»ä¸­çš„基于用户的ååŒè¿‡æ»¤ + 特点分æžï¼šå¯ä»¥ä»Žä¸Šé¢çš„例å­çœ‹å‡ºï¼Œæ­¤ç±»ååŒè¿‡æ»¤ä¸»è¦åŒ…å«ä¸¤ä¸ªæ­¥éª¤ï¼š**(1)找到和目标用户相似的用户集åˆ** ,我们称这个被找到的用户为,被寻用户以方便下文讲解 **(2)从被寻用户的兴趣集åˆä¸­ï¼Œæ‰¾åˆ°ç›®æ ‡ç”¨æˆ·å–œæ¬¢çš„且目标用户未å¬è¯´è¿‡çš„物å“** + 以上就是,基于用户的ååŒè¿‡æ»¤æœ€åŸºæœ¬çš„æ€æƒ³ï¼Œè®©æˆ‘ä»¬åˆ†æ­¥å¯¹è¿™ä¸ªç®—æ³•è¿›è¡Œåˆ†æžã€‚ + **如何找到和目标用户相似的被寻用户?** + 关键就是计算用户与用户之间的相似度,计算相似度有两ç§ä¸åŒçš„æ–¹æ³•,我们给定用户 $u$ 和用户 $v$ ,$N(u)$ 为用户 $u$ 有过正å馈的物å“集åˆï¼Œ$N(v)$ 为用户 $v$ 有过正å馈的物å“集åˆã€‚ + **Jaccard 相似度** å…¬å¼ä¸ºï¼š$w_{uv} = \frac{\vert N(u)\cap N(v)\vert}{\vert N(u)\cup N(v)\vert}$ + **余弦相似度** å…¬å¼ä¸ºï¼š$w_{uv} = \frac{\vert N(u)\cap N(v)\vert}{\sqrt{\vert N(u)\vert \vert N(v)\vert}}$ + 这就是一ç§è®¡ç®—相似度的方法,但是ä¸å¯é¿å…的,这样的相似度计算方法需è¦é历整个用户信æ¯è¡¨ï¼Œæ—¶é—´å¼€é”€æžå¤§ï¼Œè€Œä¸”存在很多无效查询,所以考虑进行改进。**倒排表改法?** + 用户相似度在é­é‡çƒ­é—¨ç‰©å“时,会导致严é‡çš„è¯¯å·®ï¼Œä¾‹å¦‚ï¼šå¦‚æžœä¸¤äººåŒæ—¶è´­ä¹°äº†ã€Šæ–°åŽå­—典》,å¯èƒ½å¹¶ä¸æ˜¯å› ä¸ºä¸¤äººéƒ½å¯¹å®ƒæœ‰å…´è¶£ï¼Œè€Œæ˜¯å› ä¸ºå®ƒæ˜¯ä¸€æœ¬åŸºæœ¬å·¥å…·ä¹¦ï¼Œæ‰€ä»¥ä¸èƒ½é€šè¿‡è¿™ä¸ªè¿‡çƒ­é—¨ç‰©å“确定二人的兴趣相似。**æ”¹è¿›å…¬å¼æƒ©ç½šçƒ­é—¨ç‰©å“?** + **如何为目标用户推è物å“?** + 关键是计算出目标用户对于å„个物å“的兴趣,设 $S(u,K)$ 包å«å’Œç”¨æˆ· $u$ 最接近的 $K$ 个用户,$N(i)$ æ˜¯å¯¹ç‰©å“ $i$ 有过行为的物å“集åˆï¼Œ$w_{uv}$ 表示用户 $u å’Œ v$ 的兴趣相似度,$r_{vi}$ 表示用户 $u对i$ 的兴趣,这个å˜é‡çš„值仅有01å–值。 + 所以用户$u对于物å“i的相似度$ å¯è¡¨ç¤ºä¸ºï¼š$p(u,i)=\sum_{v\in S(u,K)\cap N(i)}{w_{uv}r_{vi}}$ + 其中会对这个推è结果产生较大影å“的外部å˜é‡ï¼ŒK。如何确定一个åˆé€‚çš„K值是? + **基于物å“çš„ååŒè¿‡æ»¤ç®—法** + 算法简介:例如你以å‰è´­ä¹°è¿‡ã€Šç®—法导论》,而系统判断《算法导论》与《数æ®ç»“构》具有较高的相似度,那么系统就会将《数æ®ç»“构》推èç»™ä½ ï¼Œéœ€è¦æ³¨æ„的是,系统对于物å“ä¹‹é—´ç›¸ä¼¼åº¦çš„åˆ¤å®šï¼Œæ¥æºä¸Žç”¨æˆ·å¯¹äºŽç‰©å“的行为信æ¯ï¼Œè€Œä¸æ˜¯æ ¹æ®ç‰©å“与物å“之间内容的相关性。 + 特点分æžï¼š**较高的解释性**ï¼Œç³»ç»Ÿåœ¨è¿›è¡ŒæŽ¨èæ—¶ï¼Œå¯ä»¥åˆ©ç”¨ç”¨æˆ·çš„历å²è¡Œä¸ºç»™æŽ¨è结果æä¾›è§£é‡Šï¼›**è¾ƒä½Žçš„æ—¶é—´å¤æ‚度**,相较于基于用户ååŒè¿‡æ»¤çš„å’Œç”¨æˆ·æ•°é‡æˆå¹³æ–¹çš„æ—¶é—´å¤æ‚度,基于物å“ååŒè¿‡æ»¤çš„æ—¶é—´å¤æ‚度较低。 + 该算法与用户ååŒè¿‡æ»¤ç±»ä¼¼ï¼Œåˆ†æˆä¸¤æ­¥ï¼š + **计算物å“之间的相似度**,定义$N(i)$ æ˜¯å–œæ¬¢ç‰©å“ i 的用户数, $N(i)\cap N(j)$ ä¸ºå–œæ¬¢ç‰©å“ i å’Œ j 的用户数,因此物å“相似度å¯å®šä¹‰ä¸ºå¦‚ä¸‹å…¬å¼ + $w_{ij}=\frac{\vert N(i)\cap N(j)\vert}{\vert N(i) \vert}$ + åŒæ ·çš„,该公å¼ä¹Ÿå­˜åœ¨çƒ­é—¨ç‰©å“造æˆè¯¯å·®çš„问题,因为如果多数人都喜欢 j ,那么 $w_{ij}$ 就会无é™è¶‹è¿‘于1,导致系统中任何物å“对于物å“j都具有很大的物å“相似度,影å“了推è系统的覆盖率,所以考虑对于公å¼è¿›è¡Œä¿®æ­£ä¸º$w_{ij}=\frac{\vert N(i)\cap N(j) \vert}{\vert N(i)\vert \vert N(j)\vert}$ + **用户活跃度对于相似度的影å“?** 如果一个批å‘商大肆购买物å“,那么他对于这大é‡ç‰©å“的相似度的实际贡献,是ä¸å¦‚一个åªè´­ä¹°äº†å几本书的兴趣爱好者的。那么,**如何对这ç§è¡Œä¸ºè¿›è¡Œæƒ©ç½šï¼Ÿ** + 更进一步,**归一化?**,将相似度矩阵按最大值归一化,å¯ä»¥æœ‰æ•ˆæå‡æŽ¨è系统的性能。 + **得到用户对于物å“i的兴趣** + åŒæ ·é€šè¿‡ç›¸ä¼¼åº¦å¯¹äºŽå…´è¶£è¿›è¡ŒæŽ¨æµ‹ï¼Œ$N(u)$ 表示用户喜欢的物å“集åˆï¼Œ$S(j,K)$ æ˜¯å’Œç‰©å“ j 最相似的 K 个物å“集åˆï¼Œ$w_{ij}$ æ˜¯ç‰©å“ i å’Œç‰©å“ j 的相似度,$r_{ui}$ 是用户 u å¯¹äºŽç‰©å“ i 的兴趣(根æ®éšå馈数æ®é›†ï¼Œè‹¥ç”¨æˆ·å¯¹äºŽç‰©å“有过行为,则值为1),所以公å¼ä¸º + $P_{uj}=\sum_{i\in N(u)\cap S(j,K)}{w_{ji}r_{ui}}$ + ## éšè¯­ä¹‰æ¨¡åž‹ + éšè¯­ä¹‰æ¨¡åž‹çš„åŸºæœ¬æ€æƒ³æ˜¯ï¼Œé€šè¿‡éšå«ç‰¹å¾è”系用户兴趣和物å“,进行进一步解释å³ä¸ºï¼šä»¥ç‰©å“的内容进行分类,根æ®ç”¨æˆ·çš„行为对用户进行兴趣判断,从对应符åˆç”¨æˆ·å…´è¶£çš„物å“类别中推è物å“。 + 基于上述ç†è§£ï¼Œéœ€è¦è§£å†³çš„问题分别有:(1)如何对于物å“进行分类;(2)如何确定用户的兴趣方å‘,以åŠç”¨æˆ·å¯¹äºŽä¸åŒå…´è¶£æ–¹å‘的感兴趣程度;(3)对于一个兴趣方å‘,如何挑选给定分类中的物å“给用户,如何确定该物å“在分类中的æƒé‡ã€‚ + 为了解决上述问题,以åŠä¸Šè¿°é—®é¢˜ç‰µæ‰¯å‡ºçš„一系列问题(æ€è€ƒè¿™ä¸€ç³»åˆ—问题中有哪些?是个很好的锻炼æ€ç»´æ–¹å¼)。考虑采用éšå«è¯­ä¹‰åˆ†æžæŠ€æœ¯ï¼Œå› ä¸º**éšå«è¯­ä¹‰åˆ†æžæŠ€æœ¯**采å–基于用户行为统计的自动èšç±»ï¼Œå…·æœ‰å¯¹äºŽä»¥ä¸Šé—®é¢˜è¾ƒå¥½çš„适应性。 + 类似于itemCFçš„æ€æƒ³ï¼Œè‹¥ä¸¤ä»¶ç‰©å“åŒæ—¶è¢«å¾ˆå¤šç”¨æˆ·æ ‡è®°ï¼Œåˆ™è¿™ä¸¤ä»¶ç‰©å“å¯èƒ½å±žäºŽç»Ÿä¸€åˆ†ç±» + éšè¯­ä¹‰èƒ½å¤ŸæŒ‡å®šæœ€ç»ˆçš„分类数é‡ï¼Œä»Žè€ŒæŽ§åˆ¶åˆ†ç±»çš„粒度,当分类数é‡è¾ƒå¤§æ—¶ï¼Œç²’度则较å°ï¼Œåˆ†ç±»æ•°é‡è¾ƒå°æ—¶ï¼Œç²’度较大 + éšè¯­ä¹‰ä¼šè®¡ç®—出å•个物å“ä¸åŒå†…å®¹çš„æ‰€å æƒé‡ï¼Œæ‰€ä»¥ä¸ä¼šå‡ºçŽ°ä¸€ä¸ªç‰©å“åªåœ¨ä¸€ä¸ªåˆ†ç±»ä¸­ + éšè¯­ä¹‰æ‰€ç»™å‡ºçš„分类是基于用户共åŒå…´è¶£çš„,所以给出的分类有更大å¯èƒ½ä¼šç»™äºˆä¸åŒç»´åº¦ + éšè¯­ä¹‰é€šè¿‡ç»Ÿè®¡ç”¨æˆ·çš„行为æ¥ç¡®å®šç‰©å“在当å‰åˆ†ç±»çš„æƒé‡ + **LFM模型** + **建立数æ®é›†** + 用户所产生的行为分为正å馈与负å馈,LFM模型在显性å馈数æ®é›†ä¸Šè§£å†³è¯„åˆ†é¢„æµ‹é—®é¢˜æœ‰å¾ˆå¥½çš„ç²¾åº¦ï¼Œä½†æ˜¯è‹¥æ˜¯åœ¨éšæ€§å馈数æ®é›†ä¸Šï¼Œæ ·æœ¬åªå­˜åœ¨æ­£æ ·æœ¬è€Œæ²¡æœ‰è´Ÿæ ·æœ¬ï¼Œå¦‚何解决这个问题,**生æˆä»¤äººæ»¡æ„的负样本?** + 生æˆè´Ÿæ ·æœ¬æœ‰å¦‚ä¸‹çš„å‡ ç§æ€è·¯ + 定义用户未有过行为的物å“ã€å®šä¹‰æœªæœ‰è¿‡è¡Œä¸ºä¸­éšæœºé‡‡æ ·å‡ºçš„ç‰©å“ã€å®šä¹‰æœªæœ‰è¿‡è¡Œä¸ºä¸­éšæœºé‡‡æ ·å‡ºçš„ç‰©å“ï¼Œä¸”è¿™äº›ç‰©å“æ•°é‡ä¸Žæ­£æ ·æœ¬æ•°é‡ç›¸å½“ã€å®šä¹‰æœªæœ‰è¿‡è¡Œä¸ºçš„物å“,且ç€é‡æŒ‘选一些ä¸çƒ­é—¨çš„物å“。 + åœ¨å®žé™…å®žéªŒçš„è¿‡ç¨‹ä¸­ï¼Œä¸Šè¿°å››ç§æ€è·¯å„有胜负,最终通过一场2011年的推è算法比赛,得出了负样本采样应éµå¾ªçš„原则 + **负样本采样应ä¿è¯æ­£è´Ÿæ ·æœ¬å¹³è¡¡** + **采å–负样本时,应éµå¾ªå†·é—¨ç‰©å“有é™çš„原则** + **é€šè¿‡éšæœºæ¢¯åº¦ä¸‹é™æ³•ä¼˜åŒ–å‚æ•°** + 通过建立的数æ®é›† $K=\{(u,i)\}$ ,其中如果 $(u,i)$ 是正样本,则有 $r_{ui}=1$ å¦åˆ™ä¸º0。然åŽé€šè¿‡ä¼˜åŒ–如下的æŸå¤±å‡½æ•°æ¥æ‰¾åˆ°åˆé€‚çš„å‚æ•° $p,q$ + $C=sum_{(u,i)\in K}{(r_{ui}\hat r_{ui})^2}=\sum_{(u,i)\in K}{(r_{ui}\sum^K_{k=1}{p_{u,k} q_{i,k} })^2}+\lambda\Vert p_u\Vert^2+\lambda\Vert q_i\Vert^2$ + 其中,$\lambda\Vert p_u\Vert^2+\lambda\Vert q_i\Vert^2$ 是用æ¥é˜²æ­¢è¿‡æ‹Ÿåˆçš„æ­£åˆ™é¡¹ï¼Œ$\lambda$ å¯é€šè¿‡å®žéªŒèŽ·å¾—ã€‚ + ä½¿ç”¨éšæœºæ¢¯åº¦ä¸‹é™æ³•优化以上的æŸå¤±å‡½æ•°ï¼Œé€’推公å¼å¦‚下: + $p_{uk}=p_{uk}+\alpha(q_{ik}\lambda p_{uk})$ + $q_{ik}=q_{ik}+\alpha(p_{uk}\lambda q_{ik})$ + é‡è¦å‚数共四个: + **éšç‰¹å¾æ•°é‡F** + **学习速率$\alpha$** + **æ­£åˆ™åŒ–å‚æ•°$\lambda$** + **负样本与正样本的比例ratio** + **å°†å¾—åˆ°çš„å‚æ•°ä»£å…¥Preferenceå…¬å¼ä¸­ + LFM定义了 $p_{u,k}$ å’Œ $q_{i,k}$ ä½œä¸ºæ¨¡åž‹çš„å‚æ•°ï¼Œå…¶ä¸­ï¼Œ$p_{u,k}$ 度é‡äº†ç”¨æˆ· u 的兴趣和第 k 个éšç±»çš„关系,而$q_{i,k}$ 度é‡äº†ç¬¬ k 个éšç±»å’Œç‰©å“ i 之间的关系,所以å¯ä»¥æœ‰å…¬å¼è®¡ç®—兴趣度 + $Preference(u,i)=r_{ui}=p^T_uq_i=\sum^F_{f=1}{p_{u,k}q_{i,k}}$ + 得到用户对于物å“的兴趣度之åŽï¼Œå°±èƒ½è¿›è¡ŒæŽ’åå†ç”ŸæˆæŽ¨è列表。 + **LFM局陿€§** + å¯¹äºŽå‚æ•°çš„训练的è¦å†æ•°æ®é›†ä¸Šè¿›è¡Œå¤šæ¬¡è¿­ä»£ï¼Œåœ¨ä¸€èˆ¬çš„实际应用中æ¯å¤©åªèƒ½è®­ç»ƒä¸€æ¬¡å¹¶ä¸”得出结果,所以很难满足根æ®ç”¨æˆ·çš„实时行为对用户进行推è,å³å®žæ—¶æ€§è¾ƒå¼±ã€‚ + ## 基于图的模型 + å¯ä»¥æƒ³åˆ°ç”¨æˆ·ä¸Žç‰©å“之间的相互关系å¯ä»¥ç”±äºŒåˆ†å›¾è¿›è¡Œè¡¨ç¤ºï¼Œæ‰€ä»¥åœ¨æŽ¨è算法中引入图模型 + ### 用户数æ®çš„二分图表示 + 在研究图模型之å‰ï¼Œéœ€è¦ç”¨å·²æœ‰çš„æ•°æ®ç”Ÿæˆä¸€ä¸ªå›¾ï¼Œè®¾äºŒå…ƒç»„ $(u,i)$ 表示用uå¯¹äºŽç‰©å“ i 产生过行为。令 $G(V,E)$ 表示用户物å“二分图,其中$V=V_U\cup V_I$ 由用户顶点集åˆå’Œç‰©å“顶点集åˆç»„æˆï¼Œ$E$ 是边的集åˆã€‚对于数æ®é›†ä¸­çš„二元组 $(u,i)$ 图中都会有对应的边 $e(v_u,v_i)\in E$ 如下图所示。![用户物å“二分图模型](https://hdu-cs-wiki.oss-cn-hangzhou.aliyuncs.com/用户物å“二分图模型.png) + ### 基于图的推è算法 + 将数æ®é›†è½¬æ¢ä¸ºå›¾æ¨¡åž‹ä¹‹åŽï¼ŒåŽŸæ¥çš„给用户u推è物å“的任务就å¯ä»¥ç­‰æ•ˆäºŽè®¡ç®—与用户u没有边直接相连的物å“集åˆä¸­ï¼Œè®¡ç®—用户与物å“的相关性,相关性越高则它在推è列表中的æƒé™å°±è¶Šé«˜ã€‚ + **相关性计算** + 相关性的计算主è¦ä¾èµ–于一下三个因素 + 两个顶点间的路径数 + 两个顶点之间的路径è·ç¦» + 两个顶点之间的路径ç»è¿‡çš„顶点 + ç›¸å…³æ€§é«˜çš„ä¸¤ä¸ªé¡¶ç‚¹ï¼Œé€šå¸¸å…·æœ‰ä¸€ä¸‹çš„ç‰¹å¾ + 两个顶点之间有很多路径相连 + 连接两个顶点间的路径很短(相似度高) + 连接两个顶点之间的路径ä¸ä¼šå‡ºçŽ°å‡ºåº¦è¿‡å¤§çš„é¡¶ç‚¹ï¼ˆçƒ­é—¨ç‰©å“少) + **PersonalRank算法** + 基于上述相关性计算的因素,有多ç§å¤šæ ·ä¸åŒä¾§é‡çš„图算法,下é¢å°†ä»‹ç»ä¸€ç§åŸºäºŽéšæœºæ¸¸èµ°çš„PersonalRank算法 + PersonalRankç®—æ³•çš„åŸºæœ¬æ€æƒ³æ˜¯ï¼Œå‡è®¾è¦ç»™ç”¨æˆ·u进行个性化推è,å¯ä»¥ä»Žç”¨æˆ·èŠ‚ç‚¹ $v_u$ 开始在用户物å“äºŒåˆ†å›¾ä¸Šå¼€å§‹éšæœºæ¸¸èµ°ã€‚当游走到一个节点是,首先按照概率$\alpha$ å†³å®šæ˜¯ç»§ç»­æ¸¸èµ°ï¼Œè¿˜æ˜¯åœæ­¢æ¸¸èµ°å¹¶ç›´æŽ¥è¿”回 $v_u$ 釿–°å¼€å§‹æ¸¸èµ°ã€‚如果决定继续游走,那么就从当å‰èŠ‚ç‚¹æ‰€æŒ‡å‘的节点按照å‡åŒ€åˆ†å¸ƒéšæœºé€‰å–一个节点作为下次游走的目标。这样,ç»è¿‡å¤šè½®æ¸¸èµ°ä¹‹åŽï¼Œæ¯ä¸ªç‰©å“节点被访问到的概率会收敛到一个数。最终推è列表的æƒé‡å°±æ˜¯è¿™ä¸ªç‚¹çš„访问概率。 + å¯è¡¨ç¤ºä¸ºå…¬å¼ $$PR(v)=\begin{cases} + \alpha \sum_{v'\in in(v)}\frac{PR(v')}{\vert out(v')\vert},&v\ne v_u\\ + (1\alpha)+\alpha \sum_{v'\in in(v)}\frac{PR(v')}{\vert out(v')\vert},&v=v_u + \end{cases}$$ + 与上é¢å‡ ç§ç®—法一样,PersonalRank算法需è¦åœ¨å…¨å›¾è¿­ä»£ï¼Œæ‰€è€—费的时间是难以接å—的,如何改进算法?**1.å‡å°‘迭代次数** ,**2.é€šè¿‡çŸ©é˜µè®ºé‡æ–°è®¾è®¡ç®—法** + + # 总结 + 在本节内容中,我们主è¦ç«‹è¶³äºŽç”¨æˆ·çš„行为数æ®ï¼Œä»‹ç»ç”¨æˆ·è¡Œä¸ºæ•°æ®æ˜¯ä»€ä¹ˆï¼Ÿç”¨æˆ·è¡Œä¸ºæ•°æ®æœ‰å“ªäº›åˆ†ç±»ï¼Ÿç”¨æˆ·è¡Œä¸ºæ•°æ®çš„特点。并且通过用户对于物å“产生行为数æ®è¿™ä¸€æ´»åŠ¨ï¼Œæˆ‘ä»¬è®¾è®¡äº†ä¸€ç³»åˆ—ç®—æ³•åŒ…æ‹¬ï¼ŒåŸºäºŽé‚»åŸŸç®—æ³•ã€éšç‰¹å¾æ¨¡åž‹ã€åŸºäºŽå›¾çš„æ¨¡åž‹ã€‚但是用户对于物å“产生数æ®è¿™ä¸€è¡Œä¸ºï¼Œåœ¨å½“今互è”网上算是最为简å•的一ç§äº¤äº’,无法满足用户日益åˆé’»çš„æŽ¨è需求。åè¿‡æ¥æ€è€ƒï¼Œä¸€æ—¦å½“系统是一个新上线的系统,还没有大é‡çš„æ•°æ®ä¿¡æ¯è¿›è¡Œè®­ç»ƒå‚数时,如何进行推è。这就是åŽé¢æˆ‘们主è¦è§£å†³çš„两个问题 + 如何解决冷å¯åŠ¨é—®é¢˜ï¼Ÿ + 如何增加推è因素以满足用户增长的推è需求? \ No newline at end of file diff --git a/4.人工智能/4.6.6.2.2.5推è系统冷å¯åЍ.md b/4.人工智能/4.6.6.2.2.5推è系统冷å¯åЍ.md new file mode 100644 index 0000000..9e175ba --- /dev/null +++ b/4.人工智能/4.6.6.2.2.5推è系统冷å¯åЍ.md @@ -0,0 +1 @@ +# 推è系统冷å¯åЍ 待补充 by:buwyi \ No newline at end of file diff --git a/4.人工智能/4.6.6.2.2.6利用标签信æ¯.md b/4.人工智能/4.6.6.2.2.6利用标签信æ¯.md new file mode 100644 index 0000000..bb0df03 --- /dev/null +++ b/4.人工智能/4.6.6.2.2.6利用标签信æ¯.md @@ -0,0 +1 @@ +# åˆ©ç”¨æ ‡ç­¾ä¿¡æ¯ å¾…è¡¥å…… by:buwyi \ No newline at end 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