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Flexible Statistical Modeling

Flexible Statistical Modeling
灵活的统计建模
批准号:
9803645
负责人:
Trevor Hastie
金额:
$19.91万
依托单位:
依托单位国家:
美国
项目类别:
Continuing Grant
财政年份:
1998
资助国家:
美国
项目状态:
已结题
起止时间:
1998-07-15 至 2002-06-30

项目摘要

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中文摘要
翻译
在过去的10-15年里,应用回归和分类领域有了重大的发展。很多推动力最初来自统计领域之外,比如计算机科学、机器学习和神经网络。这些学科带来了许多新鲜的想法,许多新的和令人兴奋的模型,如神经网络,以及许多有趣的应用领域。随着尘埃落定,我们发现这些新想法最好是在统计框架内合成的,并且与传统的线性和非线性模型一起具有自然的地位。这项研究计划的一个关键项目是一本研究专著,其工作标题是:统计学习的要素(与Jerome Friedman和Rob Tibshirani合作)。这本书开发了一个框架,从统计的角度描述和理解新的回归和分类技术,并与现有的方法合成它们。我们在经典的经过良好测试的线性和参数模型之间取得了自然的平衡,并在数据丰富的场景中采用了更奇特和自适应的技术。该研究计划包括开发一些新的多类分类技术,每一种技术都以新的方式扩展了现有的技术。数据分析和建模中的许多重要问题都集中在预测上:计算机辅助疾病诊断(例如读取数字乳房x光片)、心脏病风险评估、自动读取手写数字(例如信封上的邮政编码)、语音识别等等。这个研究项目有两个部分。第一个是一本专著,它综合了许多不同的贡献,收集了经过良好测试的技术,并从统计的角度解释了它们。第二部分是开发一些新的预测技术。所有这些新方法都利用了我们现有的快速计算设备,使我们能够开发出十年前不可能实现的预测方法。
英文摘要
DMS-9803645HastieThere have been significant developments in the areas of applied regression and classification over the past 10-15 years. Much of the impetus originally came from outside of the field of statistics, from areas such as computer science, machine learning and neural networks. These disciplines have brought many fresh ideas to the table, a host of new and exciting models such as neural networks, as well as many interesting areas of application. As the dust settles, we find that these new ideas are best synthesized within a statistical framework, and have a natural place alongside traditional linear and nonlinear models. A key item in this research program is a research monograph with working title: THE ELEMENTS OF STATISTICAL LEARNING (with Jerome Friedman and Rob Tibshirani). This book develops a framework for describing and understanding the new regression and classification techniques from a statistical point of view, and for synthesizing them with existing methods. We strike a natural balance between the classical well tested linear and parametric models, and the more exotic and adaptive techniques appropriate in data rich scenarios. The research program includes the development of some new techniques for multiclass classification, each of which expand on existing techniques in novel ways.Many important problems in data analysis and modeling focus on prediction: computer assisted diagnosis of disease (e.g. reading digital mammograms), heart disease risk assessment, automatic reading of handwritten digits (e.g. zip-codes on envelopes), speech recognition, to name a few. This research program has two arms. The first is a monograph that synthesizes from the many varied contributions a collection of well-tested techniques, and explains them from a statistical point of view. The second arm is to develop some new techniques for prediction. All these new methods exploit the rapid computing facilities we have available, and allow us to develop methods for prediction that would have been infeasible ten years ago.
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Flexible Statistical Modeling
  • 批准号:
    2013736
  • 项目类别:
    Standard Grant
  • 资助金额:
    $25.0万
  • 财政年份:
    2020
  • 负责人:
    Trevor Hastie
  • 依托单位:
Flexible Statistical Modeling
  • 批准号:
    1407548
  • 项目类别:
    Continuing Grant
  • 资助金额:
    $50.0万
  • 财政年份:
    2014
  • 负责人:
    Trevor Hastie
  • 依托单位:
Flexible Statistical Modeling
  • 批准号:
    1007719
  • 项目类别:
    Continuing Grant
  • 资助金额:
    $40.0万
  • 财政年份:
    2010
  • 负责人:
    Trevor Hastie
  • 依托单位:
Flexible Statistical Modeling
  • 批准号:
    0505676
  • 项目类别:
    Continuing Grant
  • 资助金额:
    $0.0万
  • 财政年份:
    2005
  • 负责人:
    Trevor Hastie
  • 依托单位:
海外基金