Linear LL-positive sets and their polar subspaces

In this paper, we define a Banach SNL space to be a Banach space with a certain kind of linear map from it into its dual, and we develop the theory of linear $L$-positive subsets of Banach SNL spaces with Banach SNL dual spaces. We use this theory to give simplified proofs of some recent results of Bauschke, Borwein, Wang and Yao, and also of the classical Brezis-Browder theorem.Comment: 11 pages. Notational changes since version

Giving Vulnerable Students Their Due: Implementing Due Process Protections for Students Referred from Schools to the Justice System

There are two primary ways that schools can funnel children into the “school-to-prison pipeline.” The first is by simply removing children from school via expulsions and suspensions, which increase students’ chances of dropping out and getting in trouble with the law. The Supreme Court, recognizing the serious consequences of being forced out of school, has held that expulsions and long-term suspensions constitute deprivations of students’ property interest in their educations and liberty interest in their reputations. Thus, schools seeking to expel or suspend students must provide them with basic due process protections. But schools can also refer students directly to the justice system by having police officers arrest students or issue citations at school. Under current law, these students are not entitled to any due process protections at the point of arrest or referral. This Note argues that the absence of due process protections for students who are arrested or referred to the justice system at school is incompatible with the Supreme Court’s procedural due process jurisprudence in general and its decision in Goss v. Lopez in particular. The same property and liberty interests that the Court identified as worthy of protection in Goss are implicated by in-school arrests and referrals. Therefore, school administrators who intend to have a child arrested or referred to the justice system should be required to provide students with oral notice of the accusation against them and an opportunity to respond. After an arrest or referral, the school should provide students and their parents with written notice of the arrest or referral and the rationale for the action. These measures will not unduly burden administrators or schools, but they will provide meaningful protections for students

New results on q-positivity

In this paper we discuss symmetrically self-dual spaces, which are simply real vector spaces with a symmetric bilinear form. Certain subsets of the space will be called q-positive, where q is the quadratic form induced by the original bilinear form. The notion of q-positivity generalizes the classical notion of the monotonicity of a subset of a product of a Banach space and its dual. Maximal q-positivity then generalizes maximal monotonicity. We discuss concepts generalizing the representations of monotone sets by convex functions, as well as the number of maximally q-positive extensions of a q-positive set. We also discuss symmetrically self-dual Banach spaces, in which we add a Banach space structure, giving new characterizations of maximal q-positivity. The paper finishes with two new examples.Comment: 18 page

Fuel cell on-site integrated energy system parametric analysis of a residential complex

A parametric energy-use analysis was performed for a large apartment complex served by a fuel cell on-site integrated energy system (OS/IES). The variables parameterized include operating characteristics for four phosphoric acid fuel cells, eight OS/IES energy recovery systems, and four climatic locations. The annual fuel consumption for selected parametric combinations are presented and a breakeven economic analysis is presented for one parametric combination. The results show fuel cell electrical efficiency and system component choice have the greatest effect on annual fuel consumption; fuel cell thermal efficiency and geographic location have less of an effect

The Impact of Working at Home on Career Outcomes of Professional Employees

This research examines the claim that working at home adversely affects employees\u27 career progress, by comparing the career achievements of professional employees who work at home and those who do not. The findings contradict assertions of negative consequences of working at home. Implications for research and practice are discussed

Learning Visual Question Answering by Bootstrapping Hard Attention

Attention mechanisms in biological perception are thought to select subsets of perceptual information for more sophisticated processing which would be prohibitive to perform on all sensory inputs. In computer vision, however, there has been relatively little exploration of hard attention, where some information is selectively ignored, in spite of the success of soft attention, where information is re-weighted and aggregated, but never filtered out. Here, we introduce a new approach for hard attention and find it achieves very competitive performance on a recently-released visual question answering datasets, equalling and in some cases surpassing similar soft attention architectures while entirely ignoring some features. Even though the hard attention mechanism is thought to be non-differentiable, we found that the feature magnitudes correlate with semantic relevance, and provide a useful signal for our mechanism's attentional selection criterion. Because hard attention selects important features of the input information, it can also be more efficient than analogous soft attention mechanisms. This is especially important for recent approaches that use non-local pairwise operations, whereby computational and memory costs are quadratic in the size of the set of features.Comment: ECCV 201

Failed bank resolution and the collateral crunch: the advantages of adopting transferable puts

Current methods of failed bank resolution are unnecessarily expensive for taxpayers and impose substantial costs on borrowers at failed banks. This situation is due to distorted incentives imbedded in the standard contract between the government and acquirers of failed banks, which result in more loan foreclosures than if the loan were held by a well-capitalized bank. This paper proposes a modification to the standard contract in the form of a transferable put, which would introduce market-based incentives to the disposition of failed bank assets.Bank failures