{"version":2,"relationshipURLBase":"https://codingai-lec03.pages.dev/course/blocks/channel-retains-left-right.html","relationshipResolution":"Resolve relative relationship URLs against relationshipURLBase; complete records and absolute URLs are in blocks.","title":"一个空间格子也能保存左右差异","url":"https://codingai-lec03.pages.dev/course/blocks/channel-retains-left-right.html","markdown":"https://codingai-lec03.pages.dev/course/blocks/channel-retains-left-right.md","pages":[{"id":"reading-opening","title":"一个空间格子也能保存左右差异","unit":"瓶颈是读错位置，还是差别根本没有保留？","unitId":"spatial-information-preservation","chapter":"II","number":1}],"aliases":[{"oldId":"b-4185cf7260e3fa532bdb9742","targetId":"b-4185cf7260e3fa532bdb9742","page":"reading-opening","operation":"move","beforeSHA256":"7d0627b38f01e9e9a5d90a5a23bda8255dc3a24f7dd9cb3fada4ef399adde1a6","afterSHA256":"7d0627b38f01e9e9a5d90a5a23bda8255dc3a24f7dd9cb3fada4ef399adde1a6","reason":"Same source body in authored semantic 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一个空间格子也能保存左右差异","sha256":"7d0627b38f01e9e9a5d90a5a23bda8255dc3a24f7dd9cb3fada4ef399adde1a6","chapter":{"id":"II","title":"区域、像素与实例"},"unit":{"id":"spatial-information-preservation","title":"瓶颈是读错位置，还是差别根本没有保留？"},"page":{"id":"reading-opening","title":"一个空间格子也能保存左右差异","number":1},"sectionTitle":"一个空间格子也能保存左右差异","currentQuestion":"一个空间格子也能保存左右差异","sourceSlides":[],"knowledgeBlock":null,"formulas":[],"previousBlock":null,"nextBlock":"b-fb08db0cd681f3f0ee827adb","prerequisites":[{"id":"b-fb08db0cd681f3f0ee827adb","url":"#b-fb08db0cd681f3f0ee827adb","role":"problem-context"}],"relatedBlocks":[{"id":"b-2150c7f7e8ade99a0cbe7189","url":"#b-2150c7f7e8ade99a0cbe7189","relation":"figure-and-explanation"}]},{"id":"b-fb08db0cd681f3f0ee827adb","type":"p","scope":"channel-retains-left-right","url":"https://codingai-lec03.pages.dev/course/blocks/channel-retains-left-right.html#b-fb08db0cd681f3f0ee827adb","content":"保持 1×1 网格，增加左右差通道即可让甲乙从同为 .5 变成 [.5,+1] 与 [.5,−1]。这说明信息不只由空间尺寸决定，也说明新通道只保证当前任务所需区别，并没有恢复任意原图。","sha256":"f1e865fc3cde53d4932e94c57834c0ee9649132af52dcd68311de82aeb089a09","chapter":{"id":"II","title":"区域、像素与实例"},"unit":{"id":"spatial-information-preservation","title":"瓶颈是读错位置，还是差别根本没有保留？"},"page":{"id":"reading-opening","title":"一个空间格子也能保存左右差异","number":1},"sectionTitle":"一个空间格子也能保存左右差异","currentQuestion":"一个空间格子也能保存左右差异","sourceSlides":[],"knowledgeBlock":null,"formulas":[],"previousBlock":"b-4185cf7260e3fa532bdb9742","nextBlock":"b-f656c4aadef48317436bda1e","prerequisites":[{"id":"b-4185cf7260e3fa532bdb9742","url":"#b-4185cf7260e3fa532bdb9742","role":"section-title"}],"relatedBlocks":[{"id":"b-2150c7f7e8ade99a0cbe7189","url":"#b-2150c7f7e8ade99a0cbe7189","relation":"figure-and-explanation"}]},{"id":"b-f656c4aadef48317436bda1e","type":"p","scope":"channel-retains-left-right","url":"https://codingai-lec03.pages.dev/course/blocks/channel-retains-left-right.html#b-f656c4aadef48317436bda1e","content":"继续用甲、乙两张 2×2 图。第一通道取均值 .5，第二通道取左列均值减右列均值。甲得到 $1-0=+1$，乙得到 $0-1=-1$，因此表示分别为 $[.5,+1]$ 与 $[.5,-1]$。空间大小都是 1×1，却已经有了可区分输入。","sha256":"69e14b9329dfa6394b38b1e589c3af6717778d49081fe48652ccb98426c8e579","chapter":{"id":"II","title":"区域、像素与实例"},"unit":{"id":"spatial-information-preservation","title":"瓶颈是读错位置，还是差别根本没有保留？"},"page":{"id":"reading-opening","title":"一个空间格子也能保存左右差异","number":1},"sectionTitle":"一个空间格子也能保存左右差异","currentQuestion":"一个空间格子也能保存左右差异","sourceSlides":[],"knowledgeBlock":null,"formulas":[{"latex":"1-0=+1","definitionContext":"一个空间格子也能保存左右差异"},{"latex":"0-1=-1","definitionContext":"一个空间格子也能保存左右差异"},{"latex":"[.5,+1]","definitionContext":"一个空间格子也能保存左右差异"},{"latex":"[.5,-1]","definitionContext":"一个空间格子也能保存左右差异"}],"previousBlock":"b-fb08db0cd681f3f0ee827adb","nextBlock":"b-b05332eb9433cfae17d9f476","prerequisites":[{"id":"b-4185cf7260e3fa532bdb9742","url":"#b-4185cf7260e3fa532bdb9742","role":"section-title"},{"id":"b-fb08db0cd681f3f0ee827adb","url":"#b-fb08db0cd681f3f0ee827adb","role":"problem-context"}],"relatedBlocks":[{"id":"b-2150c7f7e8ade99a0cbe7189","url":"#b-2150c7f7e8ade99a0cbe7189","relation":"figure-and-explanation"}]},{"id":"b-b05332eb9433cfae17d9f476","type":"p","scope":"channel-retains-left-right","url":"https://codingai-lec03.pages.dev/course/blocks/channel-retains-left-right.html#b-b05332eb9433cfae17d9f476","content":"一个简单读出只需看第二通道符号，就可判断亮列在左还是右。与 P44 相比，成功不来自输出图画得更密，而来自编码器在压缩时额外保存了一项与任务有关的统计。","sha256":"208acdd0b5622abec6a44e3e267f352029d54fdbc282bc24dfd0b20706eff900","chapter":{"id":"II","title":"区域、像素与实例"},"unit":{"id":"spatial-information-preservation","title":"瓶颈是读错位置，还是差别根本没有保留？"},"page":{"id":"reading-opening","title":"一个空间格子也能保存左右差异","number":1},"sectionTitle":"一个空间格子也能保存左右差异","currentQuestion":"一个空间格子也能保存左右差异","sourceSlides":[],"knowledgeBlock":null,"formulas":[],"previousBlock":"b-f656c4aadef48317436bda1e","nextBlock":"b-e7056cb55bf2acdfb088d9d7","prerequisites":[{"id":"b-4185cf7260e3fa532bdb9742","url":"#b-4185cf7260e3fa532bdb9742","role":"section-title"},{"id":"b-fb08db0cd681f3f0ee827adb","url":"#b-fb08db0cd681f3f0ee827adb","role":"problem-context"}],"relatedBlocks":[{"id":"b-2150c7f7e8ade99a0cbe7189","url":"#b-2150c7f7e8ade99a0cbe7189","relation":"figure-and-explanation"}]},{"id":"b-e7056cb55bf2acdfb088d9d7","type":"p","scope":"channel-retains-left-right","url":"https://codingai-lec03.pages.dev/course/blocks/channel-retains-left-right.html#b-e7056cb55bf2acdfb088d9d7","content":"也不要因此推断两个通道足以恢复任意 2×2 图案。四个像素有更多自由度，均值与左右差只保存两种统计，仍可能有别的图案碰撞。表示的价值应围绕任务判断：如果只要左右，这项统计够用；若还要区分上下，就需要保留额外差别。","sha256":"267c385c2b0ac60a03aa5a7733cc847d7db8e3c88469555a7902411117665aff","chapter":{"id":"II","title":"区域、像素与实例"},"unit":{"id":"spatial-information-preservation","title":"瓶颈是读错位置，还是差别根本没有保留？"},"page":{"id":"reading-opening","title":"一个空间格子也能保存左右差异","number":1},"sectionTitle":"一个空间格子也能保存左右差异","currentQuestion":"一个空间格子也能保存左右差异","sourceSlides":[],"knowledgeBlock":null,"formulas":[],"previousBlock":"b-b05332eb9433cfae17d9f476","nextBlock":"b-eab13671e98ba0db53776f60","prerequisites":[{"id":"b-4185cf7260e3fa532bdb9742","url":"#b-4185cf7260e3fa532bdb9742","role":"section-title"},{"id":"b-fb08db0cd681f3f0ee827adb","url":"#b-fb08db0cd681f3f0ee827adb","role":"problem-context"}],"relatedBlocks":[{"id":"b-2150c7f7e8ade99a0cbe7189","url":"#b-2150c7f7e8ade99a0cbe7189","relation":"figure-and-explanation"}]},{"id":"b-eab13671e98ba0db53776f60","type":"p","scope":"channel-retains-left-right","url":"https://codingai-lec03.pages.dev/course/blocks/channel-retains-left-right.html#b-eab13671e98ba0db53776f60","content":"真实网络的通道是训练学到的，通常不是这样手写。因此下游 probe、迁移任务与可控干预仍然重要。张量有多少格、多少通道，提供的是容量线索，不是任务信息已被利用的证明。","sha256":"07085cb7de68e0b720715bd8a027b943df3cb0cb134e6b70b8a0357fb4714d98","chapter":{"id":"II","title":"区域、像素与实例"},"unit":{"id":"spatial-information-preservation","title":"瓶颈是读错位置，还是差别根本没有保留？"},"page":{"id":"reading-opening","title":"一个空间格子也能保存左右差异","number":1},"sectionTitle":"一个空间格子也能保存左右差异","currentQuestion":"一个空间格子也能保存左右差异","sourceSlides":[],"knowledgeBlock":null,"formulas":[],"previousBlock":"b-e7056cb55bf2acdfb088d9d7","nextBlock":"b-2150c7f7e8ade99a0cbe7189","prerequisites":[{"id":"b-4185cf7260e3fa532bdb9742","url":"#b-4185cf7260e3fa532bdb9742","role":"section-title"},{"id":"b-fb08db0cd681f3f0ee827adb","url":"#b-fb08db0cd681f3f0ee827adb","role":"problem-context"}],"relatedBlocks":[{"id":"b-2150c7f7e8ade99a0cbe7189","url":"#b-2150c7f7e8ade99a0cbe7189","relation":"figure-and-explanation"}]},{"id":"b-2150c7f7e8ade99a0cbe7189","type":"figure","scope":"channel-retains-left-right","url":"https://codingai-lec03.pages.dev/course/blocks/channel-retains-left-right.html#b-2150c7f7e8ade99a0cbe7189","content":"图内标签与数值：Lecture 03 课堂图解 P45；增加输出格点；0.5；0.5；0.5；0.5；0.5；相同数值被重复；保存一个新通道：左均值 − 右均值；1；0；1；0；0；1；0；1；A = [0.5, +1]；方向：1 − 0 = +1；B = [0.5, −1]；方向：0 − 1 = −1；更密 ≠ 更多区别；分辨率与信息量不是同一件事；构造说明“可以编码这项区别”，不是保证真实网络会自动学到它。\n\n相同网格增加左右差通道，使两种布局可分。 查看对应图解状态\n\n- 增加输出格点\n- 0.5\n- 0.5\n- 0.5\n- 0.5\n- 0.5\n- 相同数值被重复\n- 保存一个新通道：左均值 − 右均值\n- 1\n- 0\n- 1\n- 0\n- 0\n- 1\n- 0\n- 1\n- A = [0.5, +1]\n- 方向：1 − 0 = +1\n- B = [0.5, −1]\n- 方向：0 − 1 = −1\n- 更密 ≠ 更多区别\n- 分辨率与信息量不是同一件事\n- 构造说明“可以编码这项区别”，不是保证真实网络会自动学到它。相同网格增加左右差通道，使两种布局可分。 [查看对应图解状态](/#/l3-r2-p45/0)[查看完整图解](/#/l3-r2-p45/0)","sha256":"bcc4bc9f281c86012beeaf4e6282837f43356bc6d184c56b71dadba6411c5c51","chapter":{"id":"II","title":"区域、像素与实例"},"unit":{"id":"spatial-information-preservation","title":"瓶颈是读错位置，还是差别根本没有保留？"},"page":{"id":"reading-opening","title":"一个空间格子也能保存左右差异","number":1},"sectionTitle":"一个空间格子也能保存左右差异","currentQuestion":"一个空间格子也能保存左右差异","sourceSlides":[],"knowledgeBlock":null,"formulas":[],"figure":{"caption":"相同网格增加左右差通道，使两种布局可分。 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