Capacity Theory and Weak Duality

1984 ◽  
pp. 97-130
Author(s):  
R. K. Getoor
Keyword(s):  
Weak Duality ◽  
Capacity Theory

scholarly journals Robust Universal Inference

Entropy ◽  
2021 ◽  
Vol 23 (6) ◽  
pp. 773
Author(s):  
Amichai Painsky ◽  
Meir Feder
Keyword(s):  
Robust Estimation ◽  
Minimax Estimator ◽  
Worst Case ◽  
Capacity Theory ◽  
Alternative Approach ◽  
True Model ◽  
Finite Set ◽  
Universal Prediction ◽  
Estimation Scheme

Learning and making inference from a finite set of samples are among the fundamental problems in science. In most popular applications, the paradigmatic approach is to seek a model that best explains the data. This approach has many desirable properties when the number of samples is large. However, in many practical setups, data acquisition is costly and only a limited number of samples is available. In this work, we study an alternative approach for this challenging setup. Our framework suggests that the role of the train-set is not to provide a single estimated model, which may be inaccurate due to the limited number of samples. Instead, we define a class of “reasonable” models. Then, the worst-case performance in the class is controlled by a minimax estimator with respect to it. Further, we introduce a robust estimation scheme that provides minimax guarantees, also for the case where the true model is not a member of the model class. Our results draw important connections to universal prediction, the redundancy-capacity theorem, and channel capacity theory. We demonstrate our suggested scheme in different setups, showing a significant improvement in worst-case performance over currently known alternatives.

scholarly journals Microanchored borehole fiber optics allows strain profiling of the shallow subsurface

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Cheng-Cheng Zhang ◽  
Bin Shi ◽  
Song Zhang ◽  
Kai Gu ◽  
Su-Ping Liu ◽  
...  
Keyword(s):  
Fiber Optics ◽  
Field Experiments ◽  
Fiber Optic ◽  
Strain Sensing ◽  
Near Surface ◽  
Shallow Subsurface ◽  
Buried Cables ◽  
Capacity Theory ◽  
Confining Pressures ◽  
Strain Determination

AbstractVertical deformation profiles of subterranean geological formations are conventionally measured by borehole extensometry. Distributed strain sensing (DSS) paired with fiber-optic cables installed in the ground opens up possibilities for acquiring high-resolution static and quasistatic strain profiles of deforming strata, but it is currently limited by reduced data quality due to complicated patterns of interaction between the buried cables and their surroundings, especially in upper soil layers under low confining pressures. Extending recent DSS studies, we present an improved approach using microanchored fiber-optic cables—designed to optimize ground-to-cable coupling at the near surface—for strain determination along entire lengths of vertical boreholes. We proposed a novel criterion for soil–cable coupling evaluation based on the geotechnical bearing capacity theory. We applied this enhanced methodology to monitor groundwater-related vertical motions in both laboratory and field experiments. Corroborating extensometer recordings, acquired simultaneously, validated fiber optically determined displacements, suggesting microanchored DSS as an improved means for detecting and monitoring shallow subsurface strain profiles.

scholarly journals Training for policy capacity: A practitioner’s reflection on an in-house intervention for civil servants, students, and post-secondary graduates in Canada

2021 ◽  
pp. 014473942110194
Author(s):  
Bobby Thomas Cameron
Keyword(s):  
Prince Edward Island ◽  
Provincial Government ◽  
Civil Servants ◽  
Mentorship Program ◽  
Post Secondary ◽  
Policy Capacity ◽  
Public Servant ◽  
Capacity Theory ◽  
Integrated Policy ◽  
Recent Graduates

A substantial amount of scholarly work focuses on conceptualizing, theorizing and studying the policy capacity of governments. Yet, guidance for practitioners on developing policy capacity training programs is lacking. In this article, I reflect on my experience as a public servant in the provincial government of Prince Edward Island where I designed and implemented the Policy Capacity Development and Mentorship Program for civil servants, recent graduates and students. In this article, I offer a descriptive overview of the framework and logic of the program and discuss how I integrated policy capacity theory. This article may serve other practitioners who seek to implement similar programs in their respective organizations and provides a base for future interventions. The article also offers thoughts on practitioner-led collaboration with academics and recommendations for those who would like to establish similar programs in their organizations.

Capacity Theory and Integration

2018 ◽  
pp. 563-598
Author(s):  
M. M. Rao
Keyword(s):  
Capacity Theory

scholarly journals Predicting wheel forces using bearing capacity theory for general planar loads

2018 ◽  
Author(s):  
James Hambleton ◽  
Samuel Stanier
Keyword(s):  
Bearing Capacity ◽  
Laboratory Testing ◽  
Undrained Shear Strength ◽  
Contact Length ◽  
Vertical Force ◽  
Contact Interface ◽  
Capacity Theory ◽  
Arbitrary Loading ◽  
Mobility Problem ◽  
Undrained Shear

This paper assesses the applicability of bearing capacity theory for evaluating the forces generated on wheels operating on clay under steady rolling conditions. Considering recent advances in bearing capacity theory, namely with respect to the interaction diagrams developed for general loading, a theoretical model for computing the horizontal force or torque from fundamental input parameters such as the vertical force (weight), wheel diameter, and undrained shear strength of the soil is presented. The predictions are compared with existing analytical solutions and data from laboratory testing, and reasonable agreement is demonstrated. The foremost conclusion is that bearing capacity theory can be used to obtain reasonable predictions of wheel forces analytically under any operating condition (driven, braked, or towed), provided the contact length and so-called contact angle, which defines the position of the contact interface, can be estimated. Aside from providing a rigorous and highly convenient framework for evaluating wheel forces under arbitrary loading, the analysis enables a natural physical interpretation of the mobility problem.

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