Low rank representation on Riemannian manifold of symmetric positive definite matrices

Sparse coding aims to find a more compact representation based on a set of dictionary atoms. A well-known technique looking at 2D sparsity is the low rank representation (LRR). However, in many computer vision applications, data often originate from a manifold, which is equipped with some Riemannian geometry. In this case, the existing LRR becomes inappropriate for modeling and incorporating the intrinsic geometry of the manifold that is potentially important and critical to applications. In this paper, we generalize the LRR over the Euclidean space to the LRR model over a specific Rimannian manifold—the manifold of symmetric positive matrices (SPD). Experiments on several computer vision datasets showcase its noise robustness and superior performance on classification and segmentation compared with state-of-the-art approaches.

Queering Philip Roth: homosocial discourse in 'An actor’s life for me', 'Letting go', 'Sabbath’s theater' and the 'American trilogy'

Much has been written on Roth’s representation of masculinity, but this critical discourse has tended to be situated within a heteronormative frame of reference, perhaps because of Roth’s popular reputation as an aggressively heterosexual, libidinous, masculinist, in some versions sexist or even misogynist author. In this essay I argue that Roth’s representation of male sexuality is more complex, ambiguous, and ambivalent than has been generally recognized. Tracing a strong thread of what I call homosocial discourse running through Roth’s oeuvre, I suggest that the series of intimate relationships with other men that many of Roth’s protagonists form are conspicuously couched in this discourse and that a recognition of this ought to reconfigure our sense of the sexual politics of Roth’s career, demonstrating in particular that masculinity in his work is too fluid and dynamic to be accommodated by the conventional binaries of heterosexual and homosexual, feminized Jew and hyper-masculine Gentile, the “ordinary sexual man” and the transgressively desiring male subject.

On the cardinality and complexity of the set of codings for self-similar sets with positive Lebesgue measure

Let λ1,…,λn be real numbers in (0,1) and p1,…,pn be points in Rd. Consider the collection of maps fj:Rd→Rd given by fj(x)=λjx+(1−λj)pj. It is a well known result that there exists a unique nonempty compact set Λ⊂Rd satisfying Λ=∪nj=1fj(Λ). Each x∈Λ has at least one coding, that is a sequence (ϵi)∞i=1 ∈{1,…,n}N that satisfies limN→∞fϵ1…fϵN(0)=x. We study the size and complexity of the set of codings of a generic x∈Λ when Λ has positive Lebesgue measure. In particular, we show that under certain natural conditions almost every x∈Λ has a continuum of codings. We also show that almost every x∈Λ has a universal coding. Our work makes no assumptions on the existence of holes in Λ and improves upon existing results when it is assumed Λ contains no holes.

The problem of two fixed centers: bifurcation diagram for positive energies

We give a comprehensive analysis of the Euler-Jacobi problem of motion in the field of two fixed centers with arbitrary relative strength and for positive values of the energy. These systems represent nontrivial examples of integrable dynamics and are analysed from the point of view of the energy-momentum mapping from the phase space to the space of the integration constants. In this setting, we describe the structure of the scattering trajectories in phase space and derive an explicit description of the bifurcation diagram, i.e., the set of critical value of the energy-momentum map.

Disability [sport] and discourse: stories within the Paralympic legacy

This paper aims to encourage critical reflection on what are key and pressing social and political issues surrounding the Paralympics Games. The focus of the paper is personal narratives of six current elite Paralympic athletes who have participated in at least one Paralympic Games. In response to critical stimuli presented in the form of five ‘unfinished stories’, the self-reflexive, personal, compelling narrative reflections of these individuals were (re)presented for each of the stories as a composite narrative. The stories expose questions over fear, despair, freedom, hope, love, oppression, hatred, hurt, terror, (in)equality, peace, performance and impairment. To really learn from London and reflect for Rio, we need academic work that can understand sport, sporting bodies and physical activity as important ‘sites’ through which social forces, discourses, institutions and processes congregate, congeal and are contested in a manner that contributes to the shaping of human relations, subjectivities, and experiences in particular, contextually contingent ways.

Local ownership and UN peacebuilding: discourse versus operationalization

The UN asserts that local ownership boosts the legitimacy and sustainabil- ity of peacebuilding by preserving the principles of self-determination and nonimposition in an activity that can contravene them. At the same time, it also perceives local ownership to imperil the achievement of its operational goals, thus bringing its normative and operational obligations into conflict. This article evaluates the UN’s discourse and operationalization of local ownership, showing that despite the UN’s invocation of ownership dis- course, it operationalizes ownership in restrictive ways that are intended to protect the achievement of operational goals but that consequently limit self-determination and increase imposition. Moreover, because of contra- dictions in the UN’s practices of ownership, it also undercuts its ability to re- alize the very operational goals that it is trying to protect. KEYWORDS: UN peacebuilding, local ownership, discourse vs. practice.

Discourse and creativity

Discourse and Creativity examines the way different approaches to discourse analysis conceptualize the notion of creativity and address it analytically. It includes examples of studies of creativity from a variety of traditions and examines the following key areas, how people interpret and use discourse, the processes and practices of discourse production, discourse in modes other than written and spoken language, and the relationship between discourse and the technologies used to produce it.

Advances in Discourse Studies

Methods of approaching the study of discourse have developed rapidly in the last ten years, influenced by a growing interdisciplinary spirit among linguistics and anthropology, sociology, cognitive and cultural psychology and cultural studies, as well as among established sub-fields within linguistics itself. Among the more recent developments are an increasing ‘critical’ turn in discourse analysis, a growing interest in historical, ethnographic and corpus-based approaches to discourse, more concern with the social contexts in which discourse occurs, the social actions that it is used to take and the identities that are constructed through it, as well as a revaluation of what counts as ‘discourse’ to include multi-modal texts and interaction. Advances in Discourse Studies brings together contributions from leading scholars in the field, investigating the historical and theoretical relationships between new advances in discourse studies and pointing towards new directions for the future of the discipline. Featuring discussion questions, classroom projects and recommended readings at the end of each section, as well as case studies illustrating each approach discussed, this is an invaluable resource for students of interdisciplinary discourse analysis.

Discourse in Action: Introducing Mediated Discourse Analysis

From emails relating to adoption over the Internet to discussions in the airline cockpit, the spoken or written texts we produce can have significant social consequences. The area of Mediated Discourse Analysis considers texts in their social and cultural contexts to explore the actions individuals take with texts - and the consequences of those actions. Discourse in Action: brings together leading scholars from around the world in the area of Mediated Discourse Analysis reveals ways in which its theory and methodology can be used in research into contemporary social situations explores real situations and draws on real data in each chapter shows how analysis of texts in their social contexts broadens our understanding of the real world. Taken together, the chapters provide a comprehensive overview to the field and present a range of current studies that address some of the most important questions facing students and researchers in linguistics, education, communication studies and other fields.

Creativity and discourse

This paper will consider the relationship between discourse analysis and creativity and elucidate the ways in which a discourse analytical approach to creativity might be distinguished from the ‘language and creativity’ approaches which currently dominate applied linguistics and sociolinguistics. In the ‘discourse and creativity’ approach I will be describing, creativity is located not in language per se, but in the strategic ways people use language in concrete situations in order to stimulate social change. I will explore how aspects of this approach are reflected in work carried out within the paradigm of world Englishes.

Two Faces of AIDS in Hong Kong: Culture and the Construction of the `AIDS Celebrity'

Since the first reported case of HIV infection in Hong Kong in 1985, only two HIV-positive individuals in the territory have voluntarily made public their seropositivity: a British dentist named Mike Sinclair, who disclosed his condition to the media in 1992 and died in 1995, and J.J. Chan, a local Chinese disc-jockey, who came forward in 1995 and died just a few months later. When they made their revelations, both became instant media personalities and were invited by the Hong Kong Government to act as spokespeople for AIDS awareness and prevention. Mike Sinclair worked as an education officer for the Hong Kong AIDS Foundation, and J.J. Chan appeared in Government television commercials about AIDS. This article explores how the public identities of these two figures were constructed in the cultural context of Hong Kong where both Eastern and Western values exist side by side and interact. It argues that the construction of `AIDS celebrities' is a kind of `identity project' negotiated among the players involved: the media, the Government, the public, and the person with AIDS (PWA) himself, each bringing to the construction their own `theories' regarding the self and communication. When the players in the construction hold shared assumptions about the nature of the self and the role of communication in enacting it, harmonious discourses arise, but when cultural models among the players differ, contradictory or ambiguous constructions result. The effect of culture on the way `AIDS celebrities' are constructed has implications for the way societies view the issue of AIDS and treat those who have it. It also helps reveal possible sites of difficulty when individuals of different cultures communicate about the issue.

Voice, appropriation and discourse representation in a student writing task

We investigate the practices by which bilingual university students in Hong Kong appropriate texts in producing utterances, particularly written texts. Following Wertsch and his colleagues we ask: • To what extent do our students appropriate texts in constructing their own discourses? • What linguistic means do they use to do this? • What can these processes tell us about what they now can do with discourse representation; and • What do we need to teach them? This research shows that our students' writing displays considerable intertextuality and interdiscursivity. Responses to this writing in tutorial sessions indicate that they are skilled at orchestrating the multiple voices within their own discourses. The commonly stated concern that our students do not know how to do quotation and citation correctly is somewhat misplaced and researchers need to move the focus away from the mechanisms of citation and attribution to the social practices of textual appropriation.