We show that 2 is the minimum VC dimension of a concept class whose k-fold union has VC dimension Ω(k log k).

We calculate bounds on the VC dimension and pseudo dimension for networks of spiking neurons. The connections between network nodes are parameterized by transmission delays and synaptic weights. We provide bounds in terms of network depth and number of connections that are almost linear. For networks with few layers this yields better bounds than previously established results for networks of

Background In ascertained allergic sensitization to Vespa crabro (VC) venom, the European guidelines still consider venom immunotherapy (VIT) with Vespula (VE) venom sufficient to achieve an adequate protection against VC. However, antigen 5 immunoblotting studies showed that a genuine sensitization to VC venom may exist. In such cases, a specific VC venom would be preferable for VIT treatment....

The Vapnik-Chervonenkis (VC) dimension plays an important role in statistical learning theory. In this paper, we propose the discretized VC dimension obtained by discretizing the range of a real function class. Then, we point out that Sauer’s Lemma is valid for the discretized VC dimension. We group the real function classes having the infinite VC dimension into four categories by using the dis...

Carcinogenic risk estimation of human exposure to vinyl chloride (VC) was determined by utilizing laboratory animal data on the chronic bioassay of VC, VC pharmacokinetics and VC macromolecular interaction. The impact of these data upon the type of risk VC may pose to humans and the selection of appropriate mathematical models to quantitatively estimate "risk" are discussed. The problem of esti...

BACKGROUND Vascular calcification (VC) and carotid intima media thickness (CIMT) are strongly associated with cardiovascular (CV) disease. We hypothesized that significant VC on plain radiographs is associated with CIMT and CV events in dialysis patients. In addition, we evaluated risk factors for VC progression on plain radiographs in dialysis patients. METHODS In this 2-year observational, ...

Vascular calcification (VC), an independent and strong predictor of cardiovascular risk, is often found in CKD patients. The degree of VC is providing incremental prognostic value over traditional risk markers. There is interest in improving our understanding of mechanisms, establishing diagnostic methods and effective prevention and treatment modalities. The abnormal mineral metabolism of CKD ...

The aim of this article is to examine and defend videogame cognitivism (VC). According VC, videogames can be a source cognitive successes (such as true beliefs, knowledge or understanding) for their players. While the possibility videogame-based learning has been an extensive topic discussion in last decades, epistemological underpinnings these debates often remain unclear. I propose that VC do...

Reflex tears are produced by many conditions, one of which is drying of the ocular surface. Although peripheral neural control of the lacrimal gland is well established, the afferent pathways and properties of central premotor neurons necessary for this reflex are not known. Male rats under barbiturate anesthesia were used to determine whether neurons at the ventral trigeminal subnucleus interp...

In this paper, we study the generalization bound for an empirical process of samples independently drawn from an infinitely divisible (ID) distribution, which is termed as the ID empirical process. In particular, based on a martingale method, we develop deviation inequalities for the sequence of random variables of an ID distribution. By applying the obtained deviation inequalities, we then sho...