在部分排序的集合中选择模型
Armeen Taeb1, Peter Bühlmann2, Venkat Chandrasekaran3,4
1Department of Statistics, University of Washington, Seattle, WA 98195.
概括
本研究引入了一种新的方法来定义和控制缺乏布尔结构的复杂模型中的错误. 它使模型类的层次组织成为可能,并为假阳性和假阴性错误提供类比.
科学领域:
- 统计建模 统计建模
- 机器学习理论机器学习理论
背景情况:
- 许多统计模型,比如变量选择和图表估计,依赖布尔结构来定义错误 (错误正数/负数).
- 然而,排名,聚类和因果推理等复杂任务缺乏明确的布尔结构,这使得错误定义具有挑战性.
研究的目的:
- 开发一种通用框架,用于在没有固有的布尔结构的模型中定义和控制错误.
- 为了建立模型集合的部分顺序结构,使等级组织.
- 引入适用于不同模型类的假正和假负误差的自然类型.
主要方法:
- 拥有部分顺序结构的模型收藏.
- 在这个总体框架内,制定用于错误控制的模型选择程序.
- 使用数值实验来证明拟议方法的有效性.
主要成果:
- 在统计模型中定义和管理错误的概括方法.
- 基于部分顺序的模型类的层次组织.
- 在数值实验中证明了拟议的模型选择程序的有用性.
结论:
- 拟议的框架为各种统计建模问题提供了一种统一的错误控制方法.
- 这种方法允许在复杂的非布尔设置中更细致地理解和管理模型选择.
- 开发的程序为研究人员提供了诸如因果推理和集群等领域的实用工具.
相关概念视频
Woodward–Hoffmann Selection Rules and Microscopic Reversibility
3.1K
Electrocyclic reactions, cycloadditions, and sigmatropic rearrangements are concerted pericyclic reactions that proceed via a cyclic transition state. These reactions are stereospecific and regioselective. The stereochemistry of the products depends on the symmetry characteristics of the interacting orbitals and the reaction conditions. Accordingly, pericyclic reactions are classified as either symmetry-allowed or symmetry-forbidden. Woodward and Hoffmann presented the selection criteria for...
3.1K
Types of Selection
40.4K
Natural selection influences the frequencies of particular alleles and phenotypes within populations in several different ways. Primarily, natural selection can be directional, stabilizing, or disruptive. Directional selection favors one extreme trait and shifts the population towards that phenotype while selecting against individuals displaying alternate traits. Stabilizing selection favors an intermediate trait with a narrow range of variation. Deviation from the optimal phenotype towards an...
40.4K
Pharmacokinetic Models: Comparison and Selection Criterion
73
Physiological and compartmental models are valuable tools used in studying biological systems. These models rely on differential equations to maintain mass balance within the system, ensuring an accurate representation of the dynamic processes at play.
Physiological models take a detailed approach by considering specific molecular processes. They can predict drug distribution, metabolism, and elimination changes, providing a comprehensive understanding of how drugs interact with the body.
Physiological models take a detailed approach by considering specific molecular processes. They can predict drug distribution, metabolism, and elimination changes, providing a comprehensive understanding of how drugs interact with the body.
73
Ranks
236
Unlike parametric methods, nonparametric statistics are ideal for nominal and ordinal data, requiring fewer assumptions about the population's nature or distribution. This makes nonparametric methods easier to apply and interpret, as they do not depend on parameters like mean or standard deviation. One common approach in nonparametric analysis is to sort data according to a specific criterion. For instance, we might arrange weather data from hottest to coldest days in a month or rank cities...
236
Per-Unit Sequence Models
74
An ideal Y-Y transformer, grounded through neutral impedances, displays per-unit sequence networks akin to those of a single-phase ideal transformer when subjected to balanced positive- or negative-sequence currents. These currents do not produce neutral currents, and their associated voltage drops.
Zero-sequence currents, which are identical in magnitude and phase, generate a neutral current, resulting in voltage drops across the neutral impedance and the low-voltage winding. If the...
Zero-sequence currents, which are identical in magnitude and phase, generate a neutral current, resulting in voltage drops across the neutral impedance and the low-voltage winding. If the...
74
Law of Independent Assortment
55.7K
While Mendel’s Law of Segregation states that the two alleles for one gene are separated into different gametes, a different question of how different genes are inherited remains. For example, is the gene for tall plants inherited with the gene for green peas? Mendel asked this question by experimenting with a dihybrid cross; a cross in which both parents are homozygous for two distinct traits resulting in an F1 generation that are heterozygous for both traits.
55.7K


