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相关概念视频

Accuracy, limits, and approximation01:28

Accuracy, limits, and approximation

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Accuracy, limits, and approximations are common in many fields, especially in engineering calculations. These concepts are imperative for ensuring that a given value is as close as possible to its true value.
Accuracy is defined as the closeness of the measured value to the true or actual value. In engineering mechanics, repeated measurements are taken during theoretical or experimental analyses to ensure that the result is precise and accurate.
The accuracy of any solution is based on the...
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Linear Approximation in Frequency Domain01:26

Linear Approximation in Frequency Domain

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Linear systems are characterized by two main properties: superposition and homogeneity. Superposition allows the response to multiple inputs to be the sum of the responses to each individual input. Homogeneity ensures that scaling an input by a scalar results in the response being scaled by the same scalar.
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The representative heuristic describes a biased way of thinking, in which you unintentionally stereotype someone or something. For example, you may assume that your professors spend their free time reading books and engaging in intellectual conversation, because the idea of them spending their time playing volleyball or visiting an amusement park does not fit in with your stereotypes of professors.
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Base complementarity between the three base pairs of mRNA codon and the tRNA anticodon is not a failsafe mechanism. Inaccuracies can range from a single mismatch to no correct base pairing at all. The free energy difference between the correct and nearly correct base pairs can be as small as 3 kcal/ mol. With complementarity being the only proofreading step, the estimated error frequency would be one wrong amino acid in every 100 amino acids incorporated. However, error frequencies observed in...
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Multicompartment models are mathematical constructs that depict how drugs are distributed and eliminated within the body. They segment the body into several compartments, symbolizing various physiological or anatomical areas connected through drug transfer processes such as absorption, metabolism, distribution, and elimination.
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Cruise control systems in cars are designed as multi-input systems to maintain a driver's desired speed while compensating for external disturbances such as changes in terrain. The block diagram for a cruise control system typically includes two main inputs: the desired speed set by the driver and any external disturbances, such as the incline of the road. By adjusting the engine throttle, the system maintains the vehicle's speed as close to the desired value as possible.
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Quantification of Information Encoded by Gene Expression Levels During Lifespan Modulation Under Broad-range Dietary Restriction in C. elegans
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通过学习的表示方法,对高维变量的相互信息进行近似估计.

Gokul Gowri, Xiao-Kang Lun, Allon M Klein

    ArXiv
    |September 16, 2024
    PubMed
    概括

    我们介绍了隐性相互信息 (LMI) 近似法,这是一种用于估计在高维生物数据中的统计依赖性的新方法. 对于超过1000个维度的变量,LMI成功地近似了相互信息,克服了现有技术的局限性.

    科学领域:

    • 计算生物学 计算生物学
    • 信息理论 信息理论
    • 机器学习 机器学习

    背景情况:

    • 相互信息 (MI) 量化了统计依赖,但由于样本大小要求,很难在高维度中估计.
    • 现有的MI估计方法在超过几十个维度的数据集中失败,限制了它们在复杂的生物系统中的应用.

    研究的目的:

    • 通过利用底层的低维结构,开发一种用于近似高维数据中的MI的新方法.
    • 为了证明拟议的潜在MI (LMI) 近似方法在基准数据集和现实世界生物问题的有效性.

    主要方法:

    • 开发了潜伏MI (LMI) 近似,一种将非参数MI估计应用于低维数据表示的方法.
    • 利用理论动机的模型架构从高维数据中学习低维表示.
    • 在基准数据集上验证了LMI,将其性能与现有的MI估计技术进行比较.

    主要成果:

    • 对于超过1000个维度的变量,LMI准确地近似了MI,前提是数据具有较低的内在维度.
    • 证明LMI能够分析复杂的生物数据,包括蛋白质语言模型表示和单细胞RNA测序数据.
    • 识别了由蛋白质语言模型编码的关于蛋白质-蛋白质相互作用的非微不足道信息.

    结论:

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    • 隐性MI (LMI) 近似提供了一个可扩展的解决方案,用于估计高维生物数据集中的相互信息.
    • 该方法成功地量化了蛋白质表征中的信息,并揭示了血造干细胞分化过程中细胞命运信息的动态变化.