To save content items to your account,
please confirm that you agree to abide by our usage policies.
If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account.
Find out more about saving content to .
To save content items to your Kindle, first ensure no-reply@cambridge.org
is added to your Approved Personal Document E-mail List under your Personal Document Settings
on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part
of your Kindle email address below.
Find out more about saving to your Kindle.
Note you can select to save to either the @free.kindle.com or @kindle.com variations.
‘@free.kindle.com’ emails are free but can only be saved to your device when it is connected to wi-fi.
‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.
Chapter 7 uses three case studies to describe existing practice and processes for using and sharing data for linkage research in three jurisdictions: Western Australia, Scotland and Manitoba. Each case study looks at the decision makers; the relevant law, policy and guidelines regulating the decision-making process; and the ethical review process. The chapter assesses the practice and process in each case study against metrics of good decision making. These metrics are efficiency, transparency, accountability and community participation. The chapter concludes that there are significant similarities between the jurisdictions but that there are many areas in which decision making can be improved in all jurisdictions.
In Chapter 5, we defined various dynamic time domain notions for i/s/o systems, such as reachable and unobservable subspaces, controllability and observability, strong and unobservable invariance, external equivalence, intertwinements, compressions, dilations, restrictions, extensions, and projections. Here, we present frequency domain counterparts of these definitions. One of the four components of a frequency domain trajectory is a constant representing an “initial state,” and the other three components are analytic functions defined on some open subset Ω of the complex plane, representing a “frequency domain state,” a “frequency domain input,” and a “frequency domain output.” By the frequency domain i/s/o system induced by an i/s/o node Σ, we mean the node Σ itself together with the set of all frequency domain trajectories. Some of our frequency domain definitions can be applied to arbitrary i/s/o nodes, but most of the time we assume that Σ is resolvable and that the set Ω on which the trajectories are defined is contained in the resolvent set of Σ.
Chapter 6 considers the legal basis on which linked data is used and disclosed for research in the three jurisdictions under consideration. The bodies of law relevant to research using individual-level data without consent are examined. The chapter describes how these bodies of law regulate the use of data and balance the relevant private and public interests in play. The chapter critiques these bodies of law in terms of clarity and consistency, including consistency with the human rights norms and ethical principles discussed in previous chapters.
Chapter two considers the interwoven interests of individual participants, collectives interests and the wider public interests in research using linked data. The chapter discusses the research participants interests including dignity, autonomy and privacy and the traditional approaches to protecting them — consent and anonymisation — and concludes that these do not operate to effectively to protect individual interests in this context. Research using linked data can also have impacts, both beneficial and harmful on others, including socio-demographic groups, disease groups and the wider community and these should be explicitly recognised and evaluated by decision makers. The current legal and ethical regulation of data linkage research are critiqued for being too individualistic and alternative approaches are discussed.
Chapter 8 concludes the book by proposing ways to improve decision-making in relation to sharing linked data for research. It considers improvements in a number of areas: the decision-making framework of interests, values, and rights; the decision-making criteria and conditions; the decision makers who are best placed to make each decision; and the decision-making process. The chapter sets out the interests, values and rights that should frame decisions in this sphere, not all of which are currently represented in decision-making frameworks. It provides a list of decision-making criteria and considerations that should be taken into consideration by the relevant decision makers. The chapter distinguishes between ethical decisions, which should be made by ethics committees and governance decisions, which should be made data custodians. Finally, the chapter makes recommendations for a decision-making process that will be efficient, transparent, accountable and collaborative. This process is designed to lead to better decisions and to ensure that both the decision-making process and the decisions themselves develop and sustain the social licence needed to support the important enterprise of research using linked data.
In this chapter, we study internally well-posed systems. An internally well-posed i/s/o system is a resolvable i/s/o system whose main operator is the generator of a C0 semigroup, and an internally well-posed s/s system is a s/s system that has at least one internally wellposed i/s/o representation. Most of the results that we present for these classes of i/s/o and s/s systems are based on the results on resolvable i/s/o and s/s systems presented in Chapters 11 and 12. Internally well-posed systems are uniquely solvable, but they need not have the continuation property, and in the time-domain study of these systems the notions of a classical trajectory is more important than the notion of a generalized or mild trajectory. Many of the basic transformations and interconnections of i/s/o and s/s systems discussed in earlier chapters have the property that they preserve internal well-posedness.
In this chapter, we continue the study of the resolvent set and the i/s/o resolvent matrix of an i/s/o node Σ begun in Chapter 5. In particular, we show that if Σ is resolvable, i.e., if Σ has a nonempty resolvent set ρ(Σ), then the main operator A of Σ is also resolvable and ρ(Σ) = ρ(A). Moreover, the i/s/o resolvent matrix is analytic and satisfies the i/s/o resolvent identity in ρ(Σ). Even more interesting is the converse claim: every i/s/o pseudoresolvent is a restriction of the i/s/o resolvent matrix of a unique i/s/o node Σ, where we by an i/s/o pseudo-resolvent mean a locally bounded block matrix operator-valued function that satisfies the i/s/o resolvent identity in some open subset Ω of C. In particular, every i/s/o pseudo-resolvent is analytic. Our class of regular resolvable i/s/o nodes is known from before in the literature with more complicated definitions and different names (e.g., in Staffans, 2005; systems that belong to this class are called “operator nodes”). At the end of this chapter, we continue the study of the connection between the characteristic bundles of a s/s system Σ and the i/s/o resolvent matrices of i/s/o representations of Σ and show that these characteristic bundles are analytic in ρ(Σ).
Chapter five describes the ethical framework regulating research using linked data and examines the applicable international ethics guidelines. A hypothetical research project is used to compare how these guidelines address the ethical assessment of research using linked data and in particular to compare how they address a waiver of consent and the extent to which they consider collective interests. The chapter goes on to discuss how the core ethical values of research merit and integrity, justice, beneficence, and respect can be reinterpreted to encompass the ethical concerns raised by research using linked data.
Chapter one sets the context of linked data for research. It describes the ways in which linked data is being used to improve diagnosis, treatment and healthcare delivery and to understand the drivers of health.The advantages of using linked data for research are discussed. The chapter surveys the kinds of data currently being linked for research and different linkage methods and considers the potential and challenges for future international data linkage.
Chapter 4 considers the human rights relevant to research using linked data without consent; how these rights come into tension with each other and other relevant interests; and how these tensions should be considered and resolved. It notes the emphasis placed in the West on civil and political rights, such as the right to privacy, and the lack of attention to economic, social, and cultural rights, such as the right to health, and how this has resulted in an unbalanced approach to the regulation of research.
In this chapter we extend the frequency domain results for i/s/o systems presented in Chapter 11 into analogous frequency domain results for s/s systems. The main definitions are given for general s/s systems, but most of the more specific results require the s/s system to be resolvable (i.e., to have a nonempty resolvent set). We introduce s/s versions of Ω-resolvability, Ω-controllability, Ω-observability, Ω-minimality, Ω-intertwinements, Ω-restrictions, Ω-projections, and Ω-compressions for s/s systems, where Ω is a given nonempty open subset of the complex plane. In this setting the usual (time domain) regularity conditions are less significant. Some of the s/s results are proved directly in the s/s setting, but most of them are reduced to the corresponding i/s/o results by means of i/s/o representations of the given s/s systems.
The concept of social licence is increasingly being used to draw attention to the need for community support and acceptance of research,particularly of data-based research. Chapter three examines the nature of social licence and its application to research using linked data. Social licence is framed as an analytical tool to design and evaluate decision making for sharing and using linked data for research. The chapter examines the qualitative evidence of public perceptions and the conditions for community support and identifies the substantive and procedural conditions that lead to trust and legitmacy. The chapter concludes that these conditions should be embedded in the governance of research using linked data to develop and sustain community acceptance.
This chapter is devoted to the study of well-posed i/s/o systems. These systems are assumed to be solvable and to satisfy a well-posedness condition that guarantees the existence of a unique future generalized trajectory for any given initial state and input function that belongs locally to L2. Although it is not obvious from the definition, every well-posed i/s/o system is internally well-posed, i.e., it has a nonempty resolvent set-and its main operator generates a C0 semigroup. Semi-bounded i/s/o systems are well-posed. The class of well-posed i/s/o systems is the largest class in this book for which can to prove connections between time and frequency domain results that are analogous to those established in Chapter 8 for the class of semi-bounded i/s/o systems. At the end of this chapter we define the notion of a scattering passive system, and show that scattering passive systems are well-posed. A scattering passive system is characterized by the fact that it is regular, and its system operator is maximally scattering dissipative. Well-posed s/s systems are discussed in Chapter 15.
A high school student can create deep Q-learning code to control her robot, without any understanding of the meaning of 'deep' or 'Q', or why the code sometimes fails. This book is designed to explain the science behind reinforcement learning and optimal control in a way that is accessible to students with a background in calculus and matrix algebra. A unique focus is algorithm design to obtain the fastest possible speed of convergence for learning algorithms, along with insight into why reinforcement learning sometimes fails. Advanced stochastic process theory is avoided at the start by substituting random exploration with more intuitive deterministic probing for learning. Once these ideas are understood, it is not difficult to master techniques rooted in stochastic control. These topics are covered in the second part of the book, starting with Markov chain theory and ending with a fresh look at actor-critic methods for reinforcement learning.