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         style="font-size:6.35px;stroke-width:0.264583">用了 RL 架构下, 自回归训练变成这样:</tspan></text><text
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         style="font-size:6.35px;text-align:start;text-anchor:start;stroke-width:0.264583">输入句子有位置编码，</tspan><tspan
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         id="tspan2266">输出是逐个词出现的（可以经过多步逻辑推理）。</tspan></text><text
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         id="tspan2266-3">RL 的“深度”哪里去了？</tspan><tspan
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         style="font-style:normal;font-variant:normal;font-weight:300;font-stretch:normal;font-size:4.58611px;font-family:'Alibaba PuHuiTi';-inkscape-font-specification:'Alibaba PuHuiTi Light';text-align:start;text-anchor:start;stroke-width:0.264583"
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   id="tspan15970">f</tspan><tspan
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   id="tspan22641"> </tspan>本身可以有深度。</tspan><tspan
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         style="font-style:normal;font-variant:normal;font-weight:300;font-stretch:normal;font-size:4.58611px;font-family:'Alibaba PuHuiTi';-inkscape-font-specification:'Alibaba PuHuiTi Light';text-align:start;text-anchor:start;stroke-width:0.264583"
         id="tspan15976">对比 大脑，都是联想。</tspan><tspan
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         style="font-style:normal;font-variant:normal;font-weight:300;font-stretch:normal;font-size:4.58611px;font-family:'Alibaba PuHuiTi';-inkscape-font-specification:'Alibaba PuHuiTi Light';text-align:start;text-anchor:start;stroke-width:0.264583"
         id="tspan15972">这跟 LLM 有什么不同？</tspan><tspan
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         style="font-style:normal;font-variant:normal;font-weight:300;font-stretch:normal;font-size:4.58611px;font-family:'Alibaba PuHuiTi';-inkscape-font-specification:'Alibaba PuHuiTi Light';text-align:start;text-anchor:start;stroke-width:0.264583"
         id="tspan17638">1）LLM 纯粹是 forward chaining</tspan><tspan
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         id="tspan20946">但它可以进行 back-prop</tspan><tspan
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         style="font-style:normal;font-variant:normal;font-weight:300;font-stretch:normal;font-size:4.58611px;font-family:'Alibaba PuHuiTi';-inkscape-font-specification:'Alibaba PuHuiTi Light';text-align:start;text-anchor:start;stroke-width:0.264583"
         id="tspan20956">这个 back-prop 如何转移到 RL 框架下？</tspan><tspan
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         style="font-style:normal;font-variant:normal;font-weight:300;font-stretch:normal;font-size:4.58611px;font-family:'Alibaba PuHuiTi';-inkscape-font-specification:'Alibaba PuHuiTi Light';text-align:start;text-anchor:start;stroke-width:0.264583"
         id="tspan20954">2）RL 应该大大增加“宽度”，因为“宽度”就是大脑神经元群的数量</tspan><tspan
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         style="font-style:normal;font-variant:normal;font-weight:300;font-stretch:normal;font-size:4.58611px;font-family:'Alibaba PuHuiTi';-inkscape-font-specification:'Alibaba PuHuiTi Light';text-align:start;text-anchor:start;stroke-width:0.264583"
         id="tspan20948">3）instructGPT 直接用 句子输出的奖励 学习，它是不是比较「冗余」？</tspan><tspan
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         style="font-style:normal;font-variant:normal;font-weight:300;font-stretch:normal;font-size:4.58611px;font-family:'Alibaba PuHuiTi';-inkscape-font-specification:'Alibaba PuHuiTi Light';text-align:start;text-anchor:start;stroke-width:0.264583"
         id="tspan22068">    简单来说，AR-LLM 里面已经涌现了逻辑规则，</tspan><tspan
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         style="font-style:normal;font-variant:normal;font-weight:300;font-stretch:normal;font-size:4.58611px;font-family:'Alibaba PuHuiTi';-inkscape-font-specification:'Alibaba PuHuiTi Light';text-align:start;text-anchor:start;stroke-width:0.264583"
         id="tspan22070">    它的中间层可以看成是「工作记忆」，</tspan><tspan
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         id="tspan22072">    每个 token 可以看成是「逻辑命题」。 </tspan><tspan
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         style="font-style:normal;font-variant:normal;font-weight:300;font-stretch:normal;font-size:4.58611px;font-family:'Alibaba PuHuiTi';-inkscape-font-specification:'Alibaba PuHuiTi Light';text-align:start;text-anchor:start;stroke-width:0.264583"
         id="tspan22074">    它似乎已经没有「冗余」，</tspan><tspan
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         id="tspan22076">    因为它跟 micro logic 的架构好像没有分别…… ？</tspan><tspan
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         style="font-style:normal;font-variant:normal;font-weight:300;font-stretch:normal;font-size:4.58611px;font-family:'Alibaba PuHuiTi';-inkscape-font-specification:'Alibaba PuHuiTi Light';text-align:start;text-anchor:start;stroke-width:0.264583"
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         style="font-style:normal;font-variant:normal;font-weight:300;font-stretch:normal;font-size:4.58611px;font-family:'Alibaba PuHuiTi';-inkscape-font-specification:'Alibaba PuHuiTi Light';text-align:start;text-anchor:start;stroke-width:0.264583"
         id="tspan35495">可以用 “micro logic” 的理论，将这 RL 架构重写，</tspan><tspan
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         id="tspan35497">但它缺乏了 AR-LLM 那种快捷的训练方式（理由是 RL 不同于 AR）。</tspan><tspan
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         id="tspan35499">但 AR-LLM 变成强化学习的方式也是累赘的，</tspan><tspan
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         id="tspan35501">累赘的原因是 AR 不同于 RL。</tspan><tspan
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         id="tspan35503">在 AR-LLM 里，</tspan><tspan
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         style="font-style:normal;font-variant:normal;font-weight:300;font-stretch:normal;font-size:4.58611px;font-family:'Alibaba PuHuiTi';-inkscape-font-specification:'Alibaba PuHuiTi Light';text-align:start;text-anchor:start;stroke-width:0.264583"
         id="tspan35505">它一半的神经网络 负责将输入句子变成 内在的 representation，</tspan><tspan
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         style="font-style:normal;font-variant:normal;font-weight:300;font-stretch:normal;font-size:4.58611px;font-family:'Alibaba PuHuiTi';-inkscape-font-specification:'Alibaba PuHuiTi Light';text-align:start;text-anchor:start;stroke-width:0.264583"
         id="tspan35507">另一半神经网络 负责 预测句子的下一个词。 </tspan><tspan
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         id="tspan35509">但这后半部分 对于 RL 来说似乎是冗余的。</tspan><tspan
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         id="tspan8004">State 是知道的。 但没有 Q 的存在。 唯一知道的是 Q 影响 </tspan><tspan
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</tspan><tspan
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         id="tspan8008">而 Boltzmann 容许我们更改这个概率。
</tspan><tspan
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         id="tspan8010">换句话说，要求得 Q 跟 transition probability 的关系。
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       transform="translate(306.9168,-5.2916663)"><tspan
         x="457.11221"
         y="172.76585"
         id="tspan8016"><tspan
           style="font-family:'Alibaba PuHuiTi';-inkscape-font-specification:'Alibaba PuHuiTi Light';text-align:start;text-anchor:start"
           id="tspan8012">现在问题出了在哪里？</tspan><tspan
           style="font-family:'Alibaba PuHuiTi';-inkscape-font-specification:'Alibaba PuHuiTi Light';text-align:start;text-anchor:start"
           id="tspan8014">
</tspan></tspan><tspan
         x="457.11221"
         y="180.21652"
         id="tspan8020"><tspan
           style="font-family:'Alibaba PuHuiTi';-inkscape-font-specification:'Alibaba PuHuiTi Light';text-align:start;text-anchor:start"
           id="tspan8018">Thought actions
</tspan></tspan><tspan
         x="457.11221"
         y="187.66719"
         id="tspan8046"><tspan
   style="font-family:'Alibaba PuHuiTi';-inkscape-font-specification:'Alibaba PuHuiTi Light';text-align:start;text-anchor:start"
   id="tspan8022">将</tspan><tspan
   style="font-family:'Alibaba PuHuiTi';-inkscape-font-specification:'Alibaba PuHuiTi Light';text-align:start;text-anchor:start"
   id="tspan8024"> </tspan><tspan
   style="font-family:'Alibaba PuHuiTi';-inkscape-font-specification:'Alibaba PuHuiTi Light';text-align:start;text-anchor:start"
   id="tspan8026">tokens </tspan><tspan
   style="font-family:'Alibaba PuHuiTi';-inkscape-font-specification:'Alibaba PuHuiTi Light';text-align:start;text-anchor:start"
   id="tspan8028">分拆，但其实不</tspan><tspan
   style="font-family:'Alibaba PuHuiTi';-inkscape-font-specification:'Alibaba PuHuiTi Light';text-align:start;text-anchor:start"
   id="tspan8030"> </tspan><tspan
   style="font-family:'Alibaba PuHuiTi';-inkscape-font-specification:'Alibaba PuHuiTi Light';text-align:start;text-anchor:start"
   id="tspan8032">make sense</tspan><tspan
   style="font-family:'Alibaba PuHuiTi';-inkscape-font-specification:'Alibaba PuHuiTi Light';text-align:start;text-anchor:start"
   id="tspan8034">，</tspan><tspan
   style="font-family:'Alibaba PuHuiTi';-inkscape-font-specification:'Alibaba PuHuiTi Light';text-align:start;text-anchor:start"
   id="tspan8036">因为</tspan><tspan
   style="font-family:'Alibaba PuHuiTi';-inkscape-font-specification:'Alibaba PuHuiTi Light';text-align:start;text-anchor:start"
   id="tspan8038"> </tspan><tspan
   style="font-family:'Alibaba PuHuiTi';-inkscape-font-specification:'Alibaba PuHuiTi Light';text-align:start;text-anchor:start"
   id="tspan8040">conjunction of</tspan> <tspan
   style="font-family:'Alibaba PuHuiTi';-inkscape-font-specification:'Alibaba PuHuiTi Light';text-align:start;text-anchor:start"
   id="tspan8042">concepts </tspan><tspan
   style="font-family:'Alibaba PuHuiTi';-inkscape-font-specification:'Alibaba PuHuiTi Light';text-align:start;text-anchor:start"
   id="tspan8044">才是重</tspan></tspan><tspan
         x="457.11221"
         y="195.11786"
         id="tspan8052"><tspan
           style="font-family:'Alibaba PuHuiTi';-inkscape-font-specification:'Alibaba PuHuiTi Light';text-align:start;text-anchor:start"
           id="tspan8048">要的。</tspan><tspan
           style="font-family:'Alibaba PuHuiTi';-inkscape-font-specification:'Alibaba PuHuiTi Light';text-align:start;text-anchor:start"
           id="tspan8050">
</tspan></tspan><tspan
         x="457.11221"
         y="202.56853"
         id="tspan8060"><tspan
           style="font-family:'Alibaba PuHuiTi';-inkscape-font-specification:'Alibaba PuHuiTi Light';text-align:start;text-anchor:start"
           id="tspan8054">Token </tspan><tspan
           style="font-family:'Alibaba PuHuiTi';-inkscape-font-specification:'Alibaba PuHuiTi Light';text-align:start;text-anchor:start"
           id="tspan8056">是某种知识的单元。</tspan><tspan
           style="font-family:'Alibaba PuHuiTi';-inkscape-font-specification:'Alibaba PuHuiTi Light';text-align:start;text-anchor:start"
           id="tspan8058">
</tspan></tspan><tspan
         x="457.11221"
         y="210.0192"
         id="tspan8082"><tspan
           style="font-family:'Alibaba PuHuiTi';-inkscape-font-specification:'Alibaba PuHuiTi Light';text-align:start;text-anchor:start"
           id="tspan8062">我们企图用</tspan><tspan
           style="font-family:'Alibaba PuHuiTi';-inkscape-font-specification:'Alibaba PuHuiTi Light';text-align:start;text-anchor:start"
           id="tspan8064"> </tspan><tspan
           style="font-family:'Alibaba PuHuiTi';-inkscape-font-specification:'Alibaba PuHuiTi Light';text-align:start;text-anchor:start"
           id="tspan8066">RL </tspan><tspan
           style="font-family:'Alibaba PuHuiTi';-inkscape-font-specification:'Alibaba PuHuiTi Light';text-align:start;text-anchor:start"
           id="tspan8068">学习</tspan><tspan
           style="font-family:'Alibaba PuHuiTi';-inkscape-font-specification:'Alibaba PuHuiTi Light';text-align:start;text-anchor:start"
           id="tspan8070"> </tspan><tspan
           style="font-family:'Alibaba PuHuiTi';-inkscape-font-specification:'Alibaba PuHuiTi Light';text-align:start;text-anchor:start"
           id="tspan8072">tokens </tspan><tspan
           style="font-family:'Alibaba PuHuiTi';-inkscape-font-specification:'Alibaba PuHuiTi Light';text-align:start;text-anchor:start"
           id="tspan8074">的产生，但问题是</tspan><tspan
           style="font-family:'Alibaba PuHuiTi';-inkscape-font-specification:'Alibaba PuHuiTi Light';text-align:start;text-anchor:start"
           id="tspan8076"> </tspan><tspan
           style="font-family:'Alibaba PuHuiTi';-inkscape-font-specification:'Alibaba PuHuiTi Light';text-align:start;text-anchor:start"
           id="tspan8078">Transformer </tspan><tspan
           style="font-family:'Alibaba PuHuiTi';-inkscape-font-specification:'Alibaba PuHuiTi Light';text-align:start;text-anchor:start"
           id="tspan8080">无法表达概率分</tspan></tspan><tspan
         x="457.11221"
         y="217.46987"
         id="tspan8100"><tspan
   style="font-family:'Alibaba PuHuiTi';-inkscape-font-specification:'Alibaba PuHuiTi Light';text-align:start;text-anchor:start"
   id="tspan8084">布。如果把</tspan><tspan
   style="font-family:'Alibaba PuHuiTi';-inkscape-font-specification:'Alibaba PuHuiTi Light';text-align:start;text-anchor:start"
   id="tspan8086"> </tspan><tspan
   style="font-family:'Alibaba PuHuiTi';-inkscape-font-specification:'Alibaba PuHuiTi Light';text-align:start;text-anchor:start"
   id="tspan8088">Transformer </tspan><tspan
   style="font-family:'Alibaba PuHuiTi';-inkscape-font-specification:'Alibaba PuHuiTi Light';text-align:start;text-anchor:start"
   id="tspan8090">视为</tspan><tspan
   style="font-family:'Alibaba PuHuiTi';-inkscape-font-specification:'Alibaba PuHuiTi Light';text-align:start;text-anchor:start"
   id="tspan8092"> </tspan><tspan
   style="font-family:'Alibaba PuHuiTi';-inkscape-font-specification:'Alibaba PuHuiTi Light';text-align:start;text-anchor:start"
   id="tspan8094">Hopfield </tspan><tspan
   style="font-family:'Alibaba PuHuiTi';-inkscape-font-specification:'Alibaba PuHuiTi Light';text-align:start;text-anchor:start"
   id="tspan8096">网络，则</tspan> <tspan
   style="font-family:'Alibaba PuHuiTi';-inkscape-font-specification:'Alibaba PuHuiTi Light';text-align:start;text-anchor:start"
   id="tspan8098">state update = Transformer</tspan><tspan
   y="217.46987"
   id="tspan8102"> </tspan></tspan><tspan
         x="457.11221"
         y="224.92053"
         id="tspan8126"><tspan
   style="font-family:'Alibaba PuHuiTi';-inkscape-font-specification:'Alibaba PuHuiTi Light';text-align:start;text-anchor:start"
   id="tspan8104">forward</tspan><tspan
   style="font-family:'Alibaba PuHuiTi';-inkscape-font-specification:'Alibaba PuHuiTi Light';text-align:start;text-anchor:start"
   id="tspan8106">，</tspan><tspan
   style="font-family:'Alibaba PuHuiTi';-inkscape-font-specification:'Alibaba PuHuiTi Light';text-align:start;text-anchor:start"
   id="tspan8108">但如何将这个</tspan><tspan
   style="font-family:'Alibaba PuHuiTi';-inkscape-font-specification:'Alibaba PuHuiTi Light';text-align:start;text-anchor:start"
   id="tspan8110"> </tspan><tspan
   style="font-family:'Alibaba PuHuiTi';-inkscape-font-specification:'Alibaba PuHuiTi Light';text-align:start;text-anchor:start"
   id="tspan8112">state</tspan> <tspan
   style="font-family:'Alibaba PuHuiTi';-inkscape-font-specification:'Alibaba PuHuiTi Light';text-align:start;text-anchor:start"
   id="tspan8114">update </tspan><tspan
   style="font-family:'Alibaba PuHuiTi';-inkscape-font-specification:'Alibaba PuHuiTi Light';text-align:start;text-anchor:start"
   id="tspan8116">变成</tspan><tspan
   style="font-family:'Alibaba PuHuiTi';-inkscape-font-specification:'Alibaba PuHuiTi Light';text-align:start;text-anchor:start"
   id="tspan8118"> </tspan><tspan
   style="font-family:'Alibaba PuHuiTi';-inkscape-font-specification:'Alibaba PuHuiTi Light';text-align:start;text-anchor:start"
   id="tspan8120">probabilistic</tspan><tspan
   style="font-family:'Alibaba PuHuiTi';-inkscape-font-specification:'Alibaba PuHuiTi Light';text-align:start;text-anchor:start"
   id="tspan8122">？</tspan><tspan
   style="font-family:'Alibaba PuHuiTi';-inkscape-font-specification:'Alibaba PuHuiTi Light';text-align:start;text-anchor:start"
   id="tspan8124"> 
</tspan></tspan><tspan
         x="457.11221"
         y="232.3712"
         id="tspan8144"><tspan
           style="font-family:'Alibaba PuHuiTi';-inkscape-font-specification:'Alibaba PuHuiTi Light';text-align:start;text-anchor:start"
           id="tspan8128">而更大问题是</tspan><tspan
           style="font-family:'Alibaba PuHuiTi';-inkscape-font-specification:'Alibaba PuHuiTi Light';text-align:start;text-anchor:start"
           id="tspan8130">： </tspan><tspan
           style="font-family:'Alibaba PuHuiTi';-inkscape-font-specification:'Alibaba PuHuiTi Light';text-align:start;text-anchor:start"
           id="tspan8132">Hopfield </tspan><tspan
           style="font-family:'Alibaba PuHuiTi';-inkscape-font-specification:'Alibaba PuHuiTi Light';text-align:start;text-anchor:start"
           id="tspan8134">网络不容易计算</tspan><tspan
           style="font-family:'Alibaba PuHuiTi';-inkscape-font-specification:'Alibaba PuHuiTi Light';text-align:start;text-anchor:start"
           id="tspan8136"> </tspan><tspan
           style="font-family:'Alibaba PuHuiTi';-inkscape-font-specification:'Alibaba PuHuiTi Light';text-align:start;text-anchor:start"
           id="tspan8138">transition </tspan><tspan
           style="font-family:'Alibaba PuHuiTi';-inkscape-font-specification:'Alibaba PuHuiTi Light';text-align:start;text-anchor:start"
           id="tspan8140">的概率。</tspan><tspan
           style="font-family:'Alibaba PuHuiTi';-inkscape-font-specification:'Alibaba PuHuiTi Light';text-align:start;text-anchor:start"
           id="tspan8142">
</tspan></tspan><tspan
         x="457.11221"
         y="239.82187"
         id="tspan8168"><tspan
           style="font-family:'Alibaba PuHuiTi';-inkscape-font-specification:'Alibaba PuHuiTi Light';text-align:start;text-anchor:start"
           id="tspan8146">实际上</tspan><tspan
           style="font-family:'Alibaba PuHuiTi';-inkscape-font-specification:'Alibaba PuHuiTi Light';text-align:start;text-anchor:start"
           id="tspan8148"> </tspan><tspan
           style="font-family:'Alibaba PuHuiTi';-inkscape-font-specification:'Alibaba PuHuiTi Light';text-align:start;text-anchor:start"
           id="tspan8150">LLM </tspan><tspan
           style="font-family:'Alibaba PuHuiTi';-inkscape-font-specification:'Alibaba PuHuiTi Light';text-align:start;text-anchor:start"
           id="tspan8152">隐含了</tspan><tspan
           style="font-family:'Alibaba PuHuiTi';-inkscape-font-specification:'Alibaba PuHuiTi Light';text-align:start;text-anchor:start"
           id="tspan8154"> </tspan><tspan
           style="font-family:'Alibaba PuHuiTi';-inkscape-font-specification:'Alibaba PuHuiTi Light';text-align:start;text-anchor:start"
           id="tspan8156">RL </tspan><tspan
           style="font-family:'Alibaba PuHuiTi';-inkscape-font-specification:'Alibaba PuHuiTi Light';text-align:start;text-anchor:start"
           id="tspan8158">的</tspan><tspan
           style="font-family:'Alibaba PuHuiTi';-inkscape-font-specification:'Alibaba PuHuiTi Light';text-align:start;text-anchor:start"
           id="tspan8160"> </tspan><tspan
           style="font-family:'Alibaba PuHuiTi';-inkscape-font-specification:'Alibaba PuHuiTi Light';text-align:start;text-anchor:start"
           id="tspan8162">概率分布</tspan><tspan
           style="font-family:'Alibaba PuHuiTi';-inkscape-font-specification:'Alibaba PuHuiTi Light';text-align:start;text-anchor:start"
           id="tspan8164"> </tspan><tspan
           style="font-family:'Alibaba PuHuiTi';-inkscape-font-specification:'Alibaba PuHuiTi Light';text-align:start;text-anchor:start"
           id="tspan8166">update
</tspan></tspan><tspan
         x="457.11221"
         y="247.27254"
         id="tspan8190"><tspan
           style="font-family:'Alibaba PuHuiTi';-inkscape-font-specification:'Alibaba PuHuiTi Light';text-align:start;text-anchor:start"
           id="tspan8170">因为</tspan><tspan
           style="font-family:'Alibaba PuHuiTi';-inkscape-font-specification:'Alibaba PuHuiTi Light';text-align:start;text-anchor:start"
           id="tspan8172"> </tspan><tspan
           style="font-family:'Alibaba PuHuiTi';-inkscape-font-specification:'Alibaba PuHuiTi Light';text-align:start;text-anchor:start"
           id="tspan8174">LLM </tspan><tspan
           style="font-family:'Alibaba PuHuiTi';-inkscape-font-specification:'Alibaba PuHuiTi Light';text-align:start;text-anchor:start"
           id="tspan8176">就是</tspan><tspan
           style="font-family:'Alibaba PuHuiTi';-inkscape-font-specification:'Alibaba PuHuiTi Light';text-align:start;text-anchor:start"
           id="tspan8178">「</tspan><tspan
           style="font-family:'Alibaba PuHuiTi';-inkscape-font-specification:'Alibaba PuHuiTi Light';text-align:start;text-anchor:start"
           id="tspan8180">预测世界</tspan><tspan
           style="font-family:'Alibaba PuHuiTi';-inkscape-font-specification:'Alibaba PuHuiTi Light';text-align:start;text-anchor:start"
           id="tspan8182">」</tspan><tspan
           style="font-family:'Alibaba PuHuiTi';-inkscape-font-specification:'Alibaba PuHuiTi Light';text-align:start;text-anchor:start"
           id="tspan8184">的奖励的</tspan><tspan
           style="font-family:'Alibaba PuHuiTi';-inkscape-font-specification:'Alibaba PuHuiTi Light';text-align:start;text-anchor:start"
           id="tspan8186"> </tspan><tspan
           style="font-family:'Alibaba PuHuiTi';-inkscape-font-specification:'Alibaba PuHuiTi Light';text-align:start;text-anchor:start"
           id="tspan8188">maximization
</tspan></tspan><tspan
         x="457.11221"
         y="254.72321"
         id="tspan8204"><tspan
           style="font-family:'Alibaba PuHuiTi';-inkscape-font-specification:'Alibaba PuHuiTi Light';text-align:start;text-anchor:start"
           id="tspan8192">而我们可以将</tspan><tspan
           style="font-family:'Alibaba PuHuiTi';-inkscape-font-specification:'Alibaba PuHuiTi Light';text-align:start;text-anchor:start"
           id="tspan8194"> </tspan><tspan
           style="font-family:'Alibaba PuHuiTi';-inkscape-font-specification:'Alibaba PuHuiTi Light';text-align:start;text-anchor:start"
           id="tspan8196">tokens </tspan><tspan
           style="font-family:'Alibaba PuHuiTi';-inkscape-font-specification:'Alibaba PuHuiTi Light';text-align:start;text-anchor:start"
           id="tspan8198">看成是</tspan><tspan
           style="font-family:'Alibaba PuHuiTi';-inkscape-font-specification:'Alibaba PuHuiTi Light';text-align:start;text-anchor:start"
           id="tspan8200"> </tspan><tspan
           style="font-family:'Alibaba PuHuiTi';-inkscape-font-specification:'Alibaba PuHuiTi Light';text-align:start;text-anchor:start"
           id="tspan8202">actions
</tspan></tspan><tspan
         x="457.11221"
         y="262.17386"
         id="tspan8222"><tspan
           style="font-family:'Alibaba PuHuiTi';-inkscape-font-specification:'Alibaba PuHuiTi Light';text-align:start;text-anchor:start"
           id="tspan8206">问题是</tspan><tspan
           style="font-family:'Alibaba PuHuiTi';-inkscape-font-specification:'Alibaba PuHuiTi Light';text-align:start;text-anchor:start"
           id="tspan8208"> </tspan><tspan
           style="font-family:'Alibaba PuHuiTi';-inkscape-font-specification:'Alibaba PuHuiTi Light';text-align:start;text-anchor:start"
           id="tspan8210">RL </tspan><tspan
           style="font-family:'Alibaba PuHuiTi';-inkscape-font-specification:'Alibaba PuHuiTi Light';text-align:start;text-anchor:start"
           id="tspan8212">需要</tspan><tspan
           style="font-family:'Alibaba PuHuiTi';-inkscape-font-specification:'Alibaba PuHuiTi Light';text-align:start;text-anchor:start"
           id="tspan8214"> </tspan><tspan
           style="font-family:'Alibaba PuHuiTi';-inkscape-font-specification:'Alibaba PuHuiTi Light';text-align:start;text-anchor:start"
           id="tspan8216">tokens </tspan><tspan
           style="font-family:'Alibaba PuHuiTi';-inkscape-font-specification:'Alibaba PuHuiTi Light';text-align:start;text-anchor:start"
           id="tspan8218">之上的概率分布</tspan><tspan
           style="font-family:'Alibaba PuHuiTi';-inkscape-font-specification:'Alibaba PuHuiTi Light';text-align:start;text-anchor:start"
           id="tspan8220">
</tspan></tspan><tspan
         x="457.11221"
         y="269.62451"
         id="tspan8242"><tspan
           style="font-family:'Alibaba PuHuiTi';-inkscape-font-specification:'Alibaba PuHuiTi Light';text-align:start;text-anchor:start"
           id="tspan8224">而</tspan><tspan
           style="font-family:'Alibaba PuHuiTi';-inkscape-font-specification:'Alibaba PuHuiTi Light';text-align:start;text-anchor:start"
           id="tspan8226"> </tspan><tspan
           style="font-family:'Alibaba PuHuiTi';-inkscape-font-specification:'Alibaba PuHuiTi Light';text-align:start;text-anchor:start"
           id="tspan8228">Transformer </tspan><tspan
           style="font-family:'Alibaba PuHuiTi';-inkscape-font-specification:'Alibaba PuHuiTi Light';text-align:start;text-anchor:start"
           id="tspan8230">做到了</tspan><tspan
           style="font-family:'Alibaba PuHuiTi';-inkscape-font-specification:'Alibaba PuHuiTi Light';text-align:start;text-anchor:start"
           id="tspan8232"> </tspan><tspan
           style="font-family:'Alibaba PuHuiTi';-inkscape-font-specification:'Alibaba PuHuiTi Light';text-align:start;text-anchor:start"
           id="tspan8234">tokens </tspan><tspan
           style="font-family:'Alibaba PuHuiTi';-inkscape-font-specification:'Alibaba PuHuiTi Light';text-align:start;text-anchor:start"
           id="tspan8236">之间的</tspan><tspan
           style="font-family:'Alibaba PuHuiTi';-inkscape-font-specification:'Alibaba PuHuiTi Light';text-align:start;text-anchor:start"
           id="tspan8238"> </tspan><tspan
           style="font-family:'Alibaba PuHuiTi';-inkscape-font-specification:'Alibaba PuHuiTi Light';text-align:start;text-anchor:start"
           id="tspan8240">deterministic transition
</tspan></tspan><tspan
         x="457.11221"
         y="277.07517"
         id="tspan8268"><tspan
           style="font-family:'Alibaba PuHuiTi';-inkscape-font-specification:'Alibaba PuHuiTi Light';text-align:start;text-anchor:start"
           id="tspan8244">如果</tspan><tspan
           style="font-family:'Alibaba PuHuiTi';-inkscape-font-specification:'Alibaba PuHuiTi Light';text-align:start;text-anchor:start"
           id="tspan8246"> </tspan><tspan
           style="font-family:'Alibaba PuHuiTi';-inkscape-font-specification:'Alibaba PuHuiTi Light';text-align:start;text-anchor:start"
           id="tspan8248">softmax </tspan><tspan
           style="font-family:'Alibaba PuHuiTi';-inkscape-font-specification:'Alibaba PuHuiTi Light';text-align:start;text-anchor:start"
           id="tspan8250">被诠释为</tspan><tspan
           style="font-family:'Alibaba PuHuiTi';-inkscape-font-specification:'Alibaba PuHuiTi Light';text-align:start;text-anchor:start"
           id="tspan8252"> </tspan><tspan
           style="font-family:'Alibaba PuHuiTi';-inkscape-font-specification:'Alibaba PuHuiTi Light';text-align:start;text-anchor:start"
           id="tspan8254">probs</tspan><tspan
           style="font-family:'Alibaba PuHuiTi';-inkscape-font-specification:'Alibaba PuHuiTi Light';text-align:start;text-anchor:start"
           id="tspan8256">，</tspan><tspan
           style="font-family:'Alibaba PuHuiTi';-inkscape-font-specification:'Alibaba PuHuiTi Light';text-align:start;text-anchor:start"
           id="tspan8258">则</tspan><tspan
           style="font-family:'Alibaba PuHuiTi';-inkscape-font-specification:'Alibaba PuHuiTi Light';text-align:start;text-anchor:start"
           id="tspan8260"> </tspan><tspan
           style="font-family:'Alibaba PuHuiTi';-inkscape-font-specification:'Alibaba PuHuiTi Light';text-align:start;text-anchor:start"
           id="tspan8262">token </tspan><tspan
           style="font-family:'Alibaba PuHuiTi';-inkscape-font-specification:'Alibaba PuHuiTi Light';text-align:start;text-anchor:start"
           id="tspan8264">的分量被分拆开来</tspan><tspan
           style="font-family:'Alibaba PuHuiTi';-inkscape-font-specification:'Alibaba PuHuiTi Light';text-align:start;text-anchor:start"
           id="tspan8266">
</tspan></tspan><tspan
         x="457.11221"
         y="284.52582"
         id="tspan8282"><tspan
           style="font-family:'Alibaba PuHuiTi';-inkscape-font-specification:'Alibaba PuHuiTi Light';text-align:start;text-anchor:start"
           id="tspan8270">但其实仍然能处理</tspan><tspan
           style="font-family:'Alibaba PuHuiTi';-inkscape-font-specification:'Alibaba PuHuiTi Light';text-align:start;text-anchor:start"
           id="tspan8272"> </tspan><tspan
           style="font-family:'Alibaba PuHuiTi';-inkscape-font-specification:'Alibaba PuHuiTi Light';text-align:start;text-anchor:start"
           id="tspan8274">conjunctions</tspan><tspan
           style="font-family:'Alibaba PuHuiTi';-inkscape-font-specification:'Alibaba PuHuiTi Light';text-align:start;text-anchor:start"
           id="tspan8276">，</tspan><tspan
           style="font-family:'Alibaba PuHuiTi';-inkscape-font-specification:'Alibaba PuHuiTi Light';text-align:start;text-anchor:start"
           id="tspan8278">因为在下一层仍然会被叠加</tspan><tspan
           style="font-family:'Alibaba PuHuiTi';-inkscape-font-specification:'Alibaba PuHuiTi Light';text-align:start;text-anchor:start"
           id="tspan8280">
</tspan></tspan><tspan
         x="457.11221"
         y="291.97647"
         id="tspan8298"><tspan
   style="font-family:'Alibaba PuHuiTi';-inkscape-font-specification:'Alibaba PuHuiTi Light';text-align:start;text-anchor:start"
   id="tspan8284">我得到了一些</tspan><tspan
   style="font-family:'Alibaba PuHuiTi';-inkscape-font-specification:'Alibaba PuHuiTi Light';text-align:start;text-anchor:start"
   id="tspan8286"> </tspan><tspan
   style="font-family:'Alibaba PuHuiTi';-inkscape-font-specification:'Alibaba PuHuiTi Light';text-align:start;text-anchor:start"
   id="tspan8288">tokens </tspan><tspan
   style="font-family:'Alibaba PuHuiTi';-inkscape-font-specification:'Alibaba PuHuiTi Light';text-align:start;text-anchor:start"
   id="tspan8290">之上的概率，但那未必是所有</tspan><tspan
   style="font-family:'Alibaba PuHuiTi';-inkscape-font-specification:'Alibaba PuHuiTi Light';text-align:start;text-anchor:start"
   id="tspan8292"> </tspan><tspan
   style="font-family:'Alibaba PuHuiTi';-inkscape-font-specification:'Alibaba PuHuiTi Light';text-align:start;text-anchor:start"
   id="tspan8294">tokens </tspan><tspan
   style="font-family:'Alibaba PuHuiTi';-inkscape-font-specification:'Alibaba PuHuiTi Light';text-align:start;text-anchor:start"
   id="tspan8296">之上的分布。</tspan><tspan
   y="291.97647"
   id="tspan8300"> </tspan></tspan></text><text
       xml:space="preserve"
       style="font-weight:300;font-size:5.64444px;line-height:1.25;font-family:'Alibaba PuHuiTi';-inkscape-font-specification:'Alibaba PuHuiTi, Light';letter-spacing:0px;word-spacing:0px;stroke-width:0.264583"
       x="667.711"
       y="303.45508"
       id="text1690"><tspan
         sodipodi:role="line"
         id="tspan1688"
         style="stroke-width:0.264583"
         x="667.711"
         y="303.45508">问题出了在哪里？</tspan><tspan
         sodipodi:role="line"
         style="stroke-width:0.264583"
         x="667.711"
         y="310.51062"
         id="tspan1692">Transformer 不能输出 概率分布。</tspan><tspan
         sodipodi:role="line"
         style="stroke-width:0.264583"
         x="667.711"
         y="317.56619"
         id="tspan1875">虽然 Transformer 可以输出 单词的概率分布。</tspan><tspan
         sodipodi:role="line"
         style="stroke-width:0.264583"
         x="667.711"
         y="324.62173"
         id="tspan1877">Transformer 内部有没有概率机制？显然是没有。</tspan><tspan
         sodipodi:role="line"
         style="stroke-width:0.264583"
         x="667.711"
         y="331.67728"
         id="tspan1879">Softmax 像大脑里的 winner takes all 但在 Transformer 的细节上又好像不像。</tspan><tspan
         sodipodi:role="line"
         style="stroke-width:0.264583"
         x="667.711"
         y="338.73282"
         id="tspan3469">另方面，我想象 大脑里的 神经元群组 其 representation 也跟 tokens 不同。</tspan><tspan
         sodipodi:role="line"
         style="stroke-width:0.264583"
         x="667.711"
         y="345.78839"
         id="tspan5060" /></text></g></svg>