scholarly journals Adding feasibility constraints to a ranking rule under a monotonicity constraint

2015 ◽  
Author(s):  
Raul Perez-Fernandez ◽  
Michael Rademaker ◽  
Pedro Alonso ◽  
Irene Diaz ◽  
Bernard De Baets
Keyword(s):  
Monotonicity Constraint ◽  
Feasibility Constraints

Measure functions

2017 ◽  
Author(s):  
Lucas Champollion
Keyword(s):  
One Dimension ◽  
Measure Function ◽  
Monotonicity Constraint ◽  
The Difference ◽  
Water Entity

This chapter explains the linguistic relevance of the difference between extensive measure functions like volume and intensive measure functions like temperature, as illustrated by the pseudopartitives thirty liters of water vs. thirty degrees Celsius of water (Krifka 1998, Schwarzschild 2006). Subsuming these previous accounts, stratified reference correctly predicts the monotonicity constraint: such constructions disallow measure functions that generally return the same value on an entity and on its parts. For example, in order for *thirty degrees Celsius of water to be acceptable, it would have to describe a water entity whose parts are colder than itself; but there are no such entities. Stratified reference relativizes unboundedness to just one dimension or measure function at a time. This makes it possible to account for examples like five feet of snow even though not every part of a five-foot layer of snow is less than five feet high.

scholarly journals Multi-fidelity black-box optimization for time-optimal quadrotor maneuvers

2021 ◽  
pp. 027836492110333
Author(s):  
Gilhyun Ryou ◽  
Ezra Tal ◽  
Sertac Karaman
Keyword(s):  
Real World ◽  
High Speed ◽  
Analytical Approximation ◽  
Black Box ◽  
Bayesian Optimization ◽  
Optimization Framework ◽  
Quadrotor Aircraft ◽  
Time Optimal ◽  
Feasibility Constraints ◽  
Generation Problem

We consider the problem of generating a time-optimal quadrotor trajectory for highly maneuverable vehicles, such as quadrotor aircraft. The problem is challenging because the optimal trajectory is located on the boundary of the set of dynamically feasible trajectories. This boundary is hard to model as it involves limitations of the entire system, including complex aerodynamic and electromechanical phenomena, in agile high-speed flight. In this work, we propose a multi-fidelity Bayesian optimization framework that models the feasibility constraints based on analytical approximation, numerical simulation, and real-world flight experiments. By combining evaluations at different fidelities, trajectory time is optimized while the number of costly flight experiments is kept to a minimum. The algorithm is thoroughly evaluated for the trajectory generation problem in two different scenarios: (1) connecting predetermined waypoints; (2) planning in obstacle-rich environments. For each scenario, we conduct both simulation and real-world flight experiments at speeds up to 11 m/s. Resulting trajectories were found to be significantly faster than those obtained through minimum-snap trajectory planning.

A mixed-integer optimization approach for homogeneous magnet design

TECHNOLOGY ◽  
2018 ◽  
Vol 06 (02) ◽  
pp. 49-58
Author(s):  
Iman Dayarian ◽  
Timothy C.Y. Chan ◽  
David Jaffray ◽  
Teo Stanescu
Keyword(s):  
Imaging Modality ◽  
Spatial Location ◽  
Mixed Integer ◽  
Optimization Approach ◽  
Integer Optimization ◽  
Magnet Design ◽  
Field Homogeneity ◽  
Feasibility Constraints ◽  
Design Generation ◽  
Magnetic Resonance Imaging Mri

Magnetic resonance imaging (MRI) is a powerful diagnostic tool that has become the imaging modality of choice for soft-tissue visualization in radiation therapy. Emerging technologies aim to integrate MRI with a medical linear accelerator to form novel cancer therapy systems (MR-linac), but the design of these systems to date relies on heuristic procedures. This paper develops an exact, optimization-based approach for magnet design that 1) incorporates the most accurate physics calculations to date, 2) determines precisely the relative spatial location, size, and current magnitude of the magnetic coils, 3) guarantees field homogeneity inside the imaging volume, 4) produces configurations that satisfy, for the first time, small-footprint feasibility constraints required for MR-linacs. Our approach leverages modern mixed-integer programming (MIP), enabling significant flexibility in magnet design generation, e.g., controlling the number of coils and enforcing symmetry between magnet poles. Our numerical results demonstrate the superiority of our method versus current mainstream methods.

The Case for Ideal Theory

2018 ◽  
pp. 663-676
Author(s):  
Laura Valentini
Keyword(s):  
Global Justice ◽  
Just War ◽  
Ideal Theory ◽  
The Other ◽  
Global Democracy ◽  
Political Morality ◽  
Feasibility Constraints

Theories of international political morality are often criticized for being too ideal. In this chapter, I unpack and examine this “excessive idealism critique.” I distinguish between two versions of it: one targets the use of idealizations in international political theorizing, the other focuses on insensitivity to feasibility constraints. I argue that, in both cases, the excessive idealism critique is only partially successful. While the use of idealizations and lack of attention to feasibility constraints may be contingently problematic, often they are not. I reach this conclusion by discussing the excessive idealism critique in relation to theories of global justice, of global democracy, and of the just war.

Measuring stuff and process

2019 ◽  
pp. 37-60
Author(s):  
Alexis Wellwood
Keyword(s):  
Central Thesis ◽  
Measure Function ◽  
Mass Nouns ◽  
Subsequent Chapter ◽  
Verb Phrases ◽  
Monotonicity Constraint ◽  
Function Selection

This chapter begins the book’s survey of non-canonical comparatives, and suggests a degree-based interpretation of the expression “much” which occurs implicitly as a morphosyntactic part of “more”, and explicitly in phrases like “as much” and “too much”. Focusing on comparatives targeting mass nouns like “mud” and atelic verb phrases like “run (in the park)”, a primary goal of this analysis is to capture both the variability and constraints (especially a hypothesized “monotonicity constraint”) on measure function selection in such cases. In line with the central thesis of the book, this chapter emphasizes the role that the order-theoretic properties (when present) of a predicate plays in fixing the available dimension(s) for comparison in a given nominal or verbal comparative. The success of this analysis suggests considering whether it can apply to the canonical comparatives, which is explored in the subsequent chapter.

Folk Jurisprudence and Neurointervention

2020 ◽  
pp. 191-230
Author(s):  
Thomas Nadelhoffer ◽  
Daniela Goya-Tocchetto ◽  
Jennifer Cole Wright ◽  
Quinn McGuire
Keyword(s):  
Public Policy ◽  
General Population ◽  
Legal Issues ◽  
Underlying Assumption ◽  
Theory To Practice ◽  
Feasibility Constraints ◽  
Prison Populations ◽  
The Relationship ◽  
Folk Intuitions ◽  
Normative Status

Our chapter is motivated by an underlying assumption that layperson’s intuitions, beliefs, and judgments about moral and legal issues and public policy—which we refer to as “folk jurisprudence”—is relevant to philosophical and legal theorizing about the normative status of the use of neurological interventions. While we are quick to acknowledge that researchers need not be entirely beholden to the dictates of folk jurisprudence, we nevertheless believe that layperson’s attitudes about the relationship between neuroscience and the law ought to at least serve as feasibility constraints when it comes to the important project of getting from theory to practice. Given our beliefs concerning the relevance of folk intuitions to philosophical theorizing and public policy, we set out to explore these intuitions in a systematic way. So, we present the findings from three studies we ran which investigated people’s intuitions about the following practices and policies: (a) using interventions to reduce implicit bias in judges and jurors, (b) using interventions to reduce violence impulsivity on violent offenders, and (c) using interventions to improve moral behavior not only in prison populations but also in the general population. Having presented our findings, we then discuss what we take to be the relevance of this type of research to philosophy, law, and public policy.

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