The Myers and Read capital allocation formula is an important new actuarial result. In this paper, we give an overview of the Myers and Read result, explain its significance to actuaries, and provide a simple proof. Then we explain the assumption the allocation formula makes on the underlying families of loss distributions as expected losses by-line vary. We show that this assumption does not h...

In this paper, we propose a novel method for object discovery and dense modelling in RGB-D image sequences using motion cues. We develop our method as a building block for active object perception, such that robots can learn about the environment through perceiving the effects of actions. Our approach simultaneously segments rigid-body motion within key views, and discovers objects and hierarch...

Bounded Intention Planning (BIP) [7] is a pruning approach for optimal planning with unary operators. BIP has the flavor of partial order reduction, which has recently found increasing interest for optimal planning [4, 6]. However, although BIP is claimed to be a variant of stubborn sets [3] in the original paper, no proof is given for this claim. In this paper, we shed light on the relationshi...

An important aspect of partial-order planning is the resolution of threats between actions and causal links in a plan. We present a technique for automatically deciding which threats should be resolved during planning, and which should be delayed until planning is otherwise complete. In particular we show that many potential threats can be provably delayed until the end; that is, if the planner...

We study secessionist conflict driven by cultural and economic motives in a political union of two regions, and analyze under what conditions partial decentralization may serve as a conflict-mitigating strategy. While the probability of a successful secession is increasing in heterogeneity, it is increasing in interregional income inequality if and only if the union is socially efficient to sta...

Let M be a matroid representable over a (partial) field P and B a matrix representable over a sub-partial field P′ ⊆ P. We say that B confines M to P′ if, whenever a P-representation matrix A of M has a submatrix B, A is a scaled P′-matrix. We show that, under some conditions on the partial fields, on M , and on B, verifying whether B confines M to P′ amounts to a finite check. A corollary of t...

A novel and generic approach named as "history-oriented envisioning" is proposed to qualitatively envision all the possible and the sound situations focusing on our intended partial behaviors and actions of an objective system. Some basic notations called a "partial history" and a "partial situation" are introduced as the extensions of the conventional history and its situations representing qu...

In the past, model order reduction techniques have been successfully employed for 3-D PEEC interconnect models. This paper explores the diiculties in generating low order models when PEEC-like models include volume laments to accurately capture skin and proximity eeects.

In important situations, individual decision-making is systematically biased. When deciding (rather than consuming), extrinsic attributes of choice options are more salient than intrinsic attributes. People overestimate extrinsic attributes and therefore put too much effort into acquiring income and gaining status, lowering their utility level. These mistakes are accentuated in authoritarian sy...

Human visual system is partially adapted to the CRT monitor’s white point and partially to the ambient light, when comparing a soft-copy image with the reproduced hard-copy image. The visual experiments were performed on the effect of the ambient lighting under mixed chromatic adaptation. It was found that human visual system is 40% to 60% adapted to CRT monitor’s white point and the rest to th...