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Information entropy explained: probability, compression, and predictability

By PulseAugur Editorial · [2 sources] ·

The concept of information entropy, as defined by Claude Shannon, relates the probability of a message to its information content, where less probable messages carry more information. This principle is fundamental to data compression, suggesting that more frequent symbols should be assigned shorter codes and less frequent symbols longer codes to minimize average bit length. Higher entropy indicates a more random and less predictable system, making it harder to compress. AI

RANK_REASON Explains a fundamental concept in information theory and data compression.

Read on 量子位 (QbitAI) →

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Information entropy explained: probability, compression, and predictability

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COVERAGE [2]

  1. 量子位 (QbitAI) TIER_1 中文(ZH) · henry

    信息量

    如果你看到这里，香农那个著名公式也就不再像一个凭空冒出来的数学定义了。 假设一条消息出现的概率是p，那么它的信息量就是-log₂(p)。 根据这条曲线，发生概率越小，信息量越大；发生概率越大，信息量越小。 用刚才那套话说就是：越容易被预测出来的东西，信息量越小。越难以预测的东西，信息量越大。 而从压缩的角度看，这个公式问的其实是： 为了把这条消息从所有可能性里区分出来，理论上至少需要多少 bit？ 为了把这条消息从所有可能性里区分出来，理论上至少需要多少 bit？ 这就是香农最厉害的地方。他把「预测不了的部分」，变成了可以计算的东西。 但问题在于，现实生

  2. 36氪 (36Kr) TIER_1 中文(ZH) ·

    Shutting down "leveraged gold trading" channels, banks tighten risk valves for individual precious metals business

    6月以来，包括交通银行、招商银行、工商银行在内的多家国有大行、股份制银行密集“踩刹车”——宣布将于7月停办代理上海黄金交易所个人贵金属交易业务。在业内人士看来，这是银行主动进行风险管理的举措，通过提前压缩高风险投机业务，防范极端行情下的客户违约风险、声誉风险，同时帮助投资者规避贵金属价格波动带来的资金损失。（中证网）

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