Incompatibility boundaries for properties of community partitions

We prove the incompatibility of certain desirable properties of community partition quality functions. Our results generalize the impossibility result of [Kleinberg 2003] by considering sets of weaker properties. In particular, we use an alternative notion to solve the central issue of the consistency property. (The latter means that modifying the graph in a way consistent with a partition should not have counterintuitive effects). Our results clearly show that community partition methods should not be expected to perfectly satisfy all ideally desired properties. We then proceed to show that this incompatibility no longer holds when slightly relaxed versions of the properties are considered, and we provide in fact examples of simple quality functions satisfying these relaxed properties. An experimental study of these quality functions shows a behavior comparable to established methods in some situations, but more debatable results in others. This suggests that defining a notion of good partition in communities probably requires imposing additional properties.Comment: 17 pages, 3 figure

Incompatibility boundaries for properties of community partitions

We prove the incompatibility of certain desirable properties of community partition quality functions. Our results generalize the impossibility result of [Kleinberg 2003] by considering sets of weaker properties. In particular, we use an alternative notion to solve the central issue of the consistency property. (The latter means that modifying the graph in a way consistent with a partition should not have counterintuitive effects). Our results clearly show that community partition methods should not be expected to perfectly satisfy all ideally desired properties. We then proceed to show that this incompatibility no longer holds when slightly relaxed versions of the properties are considered, and we provide examples of simple quality functions satisfying these relaxed properties. An experimental study of these quality functions shows a behavior comparable to established methods in some situations, but more debatable results in others. This suggests that defining a notion of good partition in communities probably requires imposing additional properties

Making sense of intensities: a first step towards an architecture of intensities

Architecture is often approached as an art and science of extension. Architecture may be considered as an art of extension in the sense that it focusses on shaping and constructing material artefacts that, as it were, extend from their inner core to their visible surface, where they appear as tangible physical objects. In this context, architecture as science focusses on the diversity in shape and dimensionality of material artefacts. Architecture may also be considered as an art of extension in the sense that it focusses on the skilled dividing of immaterial space that subsequently extends from wall to wall and floor to floor. In this context, architecture as science focusses on the diversity in shape and dimensionality of immaterial space. In this paper, I want to take a first small step towards an architecture of intensities by grinding an alternative lens to explore architecture. By zooming in on the intensive rather than the extensive, this lens might reveal some of the processes behind and underneath the diversity in shape and dimensionality of material artefacts and immaterial space.status: publishe

Keynote lecture 'The Exhibit as a Medium for Knowledge' at the Making Knowledge Workshop, KTH School of Architecture, Stockholm, Sweden

By looking at a selection of recent research related exhibits, this lecture explores different roles that exhibited artefacts and exhibitions might play in architectural research. It aims at capturing the specific potential for knowledge mediation of a collaborative spatial artistic practice and how collaborative conception and making provides fertile ground for unanticipated friction, insight and surprise.status: publishe

Exhibition architecutre for Anesiadou's Damnasia Vu

Exhibition Architecture (Rohmer's desk, Vacuum Columns, Fassbinder's room)for Danai Anesiadou's "Damnasia Vu, Zum Besten der Griechen"status: publishe

Invited guest lecture 'Research Strategies for Substantiating Displacement' at the Showcasing Doctoral Research symposium I, Universitat Politècnica de Catalunya, Barcelona, Spain

Lecture on the research strategies in the PhD 'Substantiating Displacement' (Hendrickx 2012).status: publishe

A Method of Good Company

This paper will argue that the cognitive process of conceptual blending plays a fundamental role in design and design research by enabling us to manipulate - access, share, probe, alter and transpose - (poetic) knowledge and to synthesise new (poetic) experiences. This argument is further elaborated by discussing a specific case: a design for a research environment that triggers conceptual blending. This case addresses my recently completed PhD-research as a context for developing and testing ‘the method of good company’, a method to become aware of conceptual frameworks one tacitly implements when designing.status: publishe

Invited guest lecture 'Key Supervisory Moments' at KU Leuven Faculty of Architecture

Lecture on the key supervisory moments of the PhD 'Substantiating Displacement'(2012 Hendrickx). Lecture presented at the PhD presentations 'the Belgian 9' part of the Practice Research Symposium by RMIT and Adapt-r, Luca School of Arts, Ghent, 21/04 2016.status: publishe

Invited guest lecture 'Research Strategies for Substantiating Displacement' at the Showcasing Doctoral Research symposium II, Escola Universitaria de Barcelona/ELISAVA, Barcelona, Spain

Invited lecture addressing the research strategies for "Substantiating Displacement" (2012), PhD of Arnaud Hendricx.status: publishe

Notes on Polysterene

A series of Polystyrene replica's of artefacts (the book flatland, a road-atlas, a note book and a post-it) for the group exhibition Isomopolis.status: publishe