Measuring the expressivity of graph kernels through the rademacher complexity

Graph kernels are widely adopted in real-world applications that involve learning on graph data. Different graph kernels have been proposed in literature, but no theoretical comparison among them is present. In this paper we provide a formal definition for the expressiveness of a graph kernel by means of the Rademacher Complexity, and analyze the differences among some state-of-the-art graph kernels. Results on real world datasets confirm some known properties of graph kernels, showing that the Rademacher Complexity is indeed a suitable measure for this analysis

Incidence and Recurrence of Portal Vein Thrombosis in Cirrhotic Patients

Cirrhosis has been long considered a risk factor for bleeding due to the co-existence of the so-called \u2018coagulopathy\u2019. More recently, however, compelling evidences have been provided on the occurrence of thrombotic events in the portal and systemic circulation.3\u20135 Portal vein thrombosis (PVT) is predominantly observed in patients with moderate to severe liver failure with a variable prevalence ranging from 0.6 to 25%. Only fewstudies have provided a longitudinal assessment of the PVT incidence and its sequelae, including recurrence and survival.9\u201314 Due to the variability of PVT incidence and the paucity of data regarding recurrence and survival,15\u201320 we prospectively analysed the incidence and the recurrence of PVT in the population of Portal vein thrombosis Relevance On Liver cirrhosis: ItalianVenous thromboticEventsRegistry (PROLIVER), a multi-centre study,8 which involved 43 enrolling centres in Italy (ClinicalTrials.gov Identifier: NCT01470547)

Platelet count does not predict bleeding in cirrhotic patients: Results from the PRO-LIVER Study

OBJECTIVES: Thrombocytopenia is a hallmark for patients with cirrhosis and it is perceived as a risk factor for bleeding events. However, the relationship between platelet count and bleeding is still unclear. METHODS: We investigated the relationship between platelet count and major or clinical relevant nonmajor bleedings during a follow-up of \ue2\u88\ubc4 years. RESULTS: A total of 280 cirrhotic patients with different degrees of liver disease (67% males; age 64\uc2\ub137 years; 47% Child\ue2\u80\u93Pugh B and C) were followed up for a median of 1,129 (interquartile range: 800\ue2\u80\u931,498) days yielding 953.12 patient-year of observation. The annual rate of any significant bleeding was 5.45%/year (3.57%/year and 1.89%/year for major and minor bleeding, respectively). Fifty-two (18.6%) patients experienced a major (n=34) or minor (n=18) bleeding event, predominantly from gastrointestinal origin. Platelet counts progressively decreased with the worsening of liver disease and were similar in patients with or without major or minor bleeding: a platelet count \ue2\u89\ua450\uc3\u97103/\uce\ubcl was detected in 3 (6%) patients with and in 20 (9%) patients without any bleeding event. Conversely, prothrombin time-international normalized ratio was slightly higher in patients with overall or major bleeding. On Cox proportional hazard analysis, only a previous gastrointestinal bleeding (hazard ratio (HR): 1.96; 95% confidence interval: 1.11\ue2\u80\u933.47; P=0.020) and encephalopathy (HR: 2.05; 95% confidence interval: 1.16\ue2\u80\u933.62; P=0.013) independently predicted overall bleeding events. CONCLUSIONS: Platelet count does not predict unprovoked major or minor bleeding in cirrhotic patients