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text_weights]\nS=[[sum(a*b for a,b in zip(u,v)) for v in text_vectors] for u in image_vectors]\ntemperature=1.0\nlogits=[[s/temperature for s in row] for row in S]\ndef softmax(row):\n    exps=[math.exp(x-max(row)) for x in row]\n    return [x/sum(exps) for x in exps]\nrow_prob=[softmax(row) for row in logits]\ncol_prob=[softmax(list(col)) for col in zip(*logits)]\nrow_loss=-sum(math.log(row_prob[i][i]) for i in range(3))/3\ncol_loss=-sum(math.log(col_prob[i][i]) for i in range(3))/3\nprint('对象顺序:',objects,'温度:',temperature)\nprint('余弦矩阵:',[[round(s,6) for s in row] for row in S])\nprint('每张图找正确文字:',[round(row_prob[i][i],4) for i in range(3)])\nprint('每段文字找正确图:',[round(col_prob[i][i],4) for i in range(3)])\nprint('双向平均损失:',round((row_loss+col_loss)/2,6))\nassert all(abs(sum(p)-1)<1e-12 for p in row_prob+col_prob)\nassert all(abs(sum(x*x for x in vector)-1)<1e-12 for vector in image_vectors+text_vectors)\nif text_weights==[[4.0,1.0,1.0],[1.0,4.0,1.0],[1.0,1.0,4.0]] and temperature==1.0:\n    assert all(math.isclose(S[i][j],(4 if i==j else 1)/math.sqrt(18)) for i in range(3) for j in range(3))\n    assert math.isclose((row_loss+col_loss)/2,0.6861917388550698)\n\n```","sha256":"7462623f6862fb9ca9e60dff3dddc5d87cc3d61b00f48431e6c4da48f60fc1b1","chapter":{"id":"course","title":"活动 A：一张小矩阵，两种查找方向 · 实现代码"},"unit":{"id":"notebook-blocks/fdd18e776fb949909b1d5e2233b7d639","title":"活动 A：一张小矩阵，两种查找方向 · 实现代码"},"page":{"id":"reading-opening","title":"活动 A：一张小矩阵，两种查找方向 · 实现代码","number":1},"sectionTitle":"活动 A：一张小矩阵，两种查找方向 · 实现代码","currentQuestion":"活动 A：一张小矩阵，两种查找方向 · 实现代码","sourceSlides":[],"knowledgeBlock":null,"formulas":[],"previousBlock":"b-4bd09c76381987759c3be90f","nextBlock":null,"prerequisites":[{"id":"b-11a511b34a93de4260aa5d5e","url":"#b-11a511b34a93de4260aa5d5e","role":"section-title"},{"id":"b-24356b3810d5dbefdb2f81c0","url":"#b-24356b3810d5dbefdb2f81c0","role":"problem-context"}],"relatedBlocks":[]}]}