Book Review: Spider's Thread by Dr. Keith Holyoak (forthcoming - Philosophical Psychology)

Long have scientists – renowned, trained experts – effectively answered questions within their niche. The mastery scientists offer within their area of expertise is not only indispensable, but advantageous if such knowledge itself is to remain indispensable and applicable to other domains. Why then do so many experts stay confined to applying their knowledge within their routine realm? Can scientists apply and contribute their expertise into the arts, and vice versa? The Spider’s Thread: Metaphor in Mind, Brain, and Poetry by Dr. Keith Holyoak addresses this disconnect between science and art beginning with discussions of neuroscience, philosophy, and linguistics, to creative writing in poetry, and identifies and proposes potential methods of interconnection and cross-disciplinary proficiency for psychologists, scientists, and artists alike. This work builds on previous research demonstrating metaphor, a type of analogical reasoning, as a mechanism for learning, and helps the reader comprehend ways in which understanding a relation in one domain can extend to understanding a relation across another domain, so that we can move beyond understanding what we already know, to actually applying analogies in novel contexts for broader, cross-disciplinary, proficiency. This book broadly refers to all major sectors ranging from linguistics, to neuroscience, poetry, and finally to education. It is a wonderful resource for academics, students, artists and scientists alike who are interested in broadening their own comprehension, and expertise, across discipline, as well as creating connections between otherwise disconnected domains.

INTRUSION DETECTION FOR DISCRETE SEQUENCES

Global understanding of the sequence anomaly detection problem and how techniques proposed for different domains relate to each other. Our specific contributions are as follows: We identify three distinct formulations of the anomaly detection problem, and review techniques from many disparate and disconnected domains that address each of these formulations. Within each problem formulation, we group techniques into categories based on the nature of the underlying algorithm. For each category, we provide a basic anomaly detection technique, and show how the existing techniques are variants of the basic technique. This approach shows how different techniques within a category are related or different from each other. Our categorization reveals new variants and combinations that have not been investigated before for anomaly detection. We also provide a discussion of relative strengths and weaknesses of different techniques. We show how techniques developed for one problem formulation can be adapted to solve a different formulation; thereby providing several novel adaptations to solve the different problem formulations. We highlight the applicability of the techniques that handle discrete sequences to other related areas such as online anomaly detection and time series anomaly detection.

Finite difference approximation of strong solutions of a parabolic interface problem on disconnected domains

We investigate an initial boundary value problem for one dimensional parabolic equation in two disconnected intervals. A finite difference scheme for its solution is proposed and investigated. Convergence rate estimate compatible with the smoothness of input data is obtained.

Bergman Spaces on Disconnected Domains

For a bounded region G ⊂ ℂ and a compact set K ⊂ G, with area measure zero, we will characterize the invariant subspaces ℳ (under ƒ → zƒ) of the Bergman space (G \ K), 1 ≤ p < ∞, which contain (G) and with dim(ℳ/(z - λ)ℳ) = 1 for all λ ∈ G \ K. When G \ K is connected, we will see that dim(ℳ/(z - λ)ℳ) = 1 for all λ ∈ G \ K and thus in this case we will have a complete description of the invariant subspaces lying between (G) and (G \ K). When p = ∞, we will remark on the structure of the weak-star closed z-invariant subspaces between H∞(G) and H∞(G \ K). When G \ K is not connected, we will show that in general the invariant subspaces between (G) and (G \ K) are fantastically complicated. As an application of these results, we will remark on the complexity of the invariant subspaces (under ƒ → ζƒ) of certain Besov spaces on K. In particular, we shall see that in the harmonic Dirichlet space , there are invariant subspaces ℱ such that the dimension of ζℱ in ℱ is infinite.

Uniform primitivity of semigroups generated by perturbed elliptic differential operators

Our problem and the motive for attacking it are the same as in (1). Using a different method, we obtain a result admitting disconnected domains and higher dimensions without symmetry assumptions. For a detailed introduction we refer to (1).