The low-rank matrix completion problem can be solved by Riemannian optimization on a fixed-rank manifold. However, drawback of the known approaches is that rank parameter has to fixed priori. In this paper, we consider set bounded-rank matrices. We propose rank-adaptive method, which consists optimization, increase step and reduction step. explore its performance applied problem. Numerical expe...

A class of nonlinear filters called rank conditioned rank selection (RCRS) filters is developed and analyzed in this paper. The RCRS filters are developed within the general framework of rank selection (RS) filters, which are filters constrained to output an order statistic from the observation set. Many previously proposed rank order based filters can be formulated as RS filters. The only diff...

Wepropose a geometric interpretation to the ranking of patent assignees by their h-indices as indicating the relative positions of their rank-citation curves.We thenpropose two shape descriptors characterizing the rank-citation curves over the h-cores and h-tails, respectively. Together with the h-indices, the shape descriptors help verifying the geometric relationship among rank-citation curve...

Money is the prime incentive in economic models. Recent evidence makes it clear that people are also greatly concerned about how their incomes compare with those of others, suggesting that rank may be a strong motivator as well. Three experiments in Vietnam assessed whether students in realworld learning environments were concerned with their performance rankings. The results showed that concer...

This paper proposes a novel automatic pronunciation scoring framework using learning to rank. Human scores of the utterances are treated as ranks and are used as the ranking ground truths. Scores generated from various existing scoring methods are used as the features to train the learning to rank function. The output of the function is then segmented by the proposed DP-based method and hence b...

We introduce various notions of rank for a high order symmetric tensor, namely: rank, border rank, catalecticant rank, generalized rank, scheme length, border scheme length, extension rank and smoothable rank. We analyze the stratification induced by these ranks. The mutual relations between these stratifications, allow us to describe the hierarchy among all the ranks. We show that strict inequ...

the present research work was carried out to assess the relationship between outreach services of a faculty member, and his academic tasks of teaching performance and research productivity. a number of 95 faculty members from the colleges of agriculture and natural resources constituted the statistical population of the study. a questionnaire was employed for collection of data on outreach serv...

The financial economics literature proposes dozens of performance measures to be used, for instance, to compare, analyse, rank and select assets. There is thus a problem: which measures should be considered? We extend the current literature by comparing a large set of performance measures over more than one thousand of equities included in the Standard & Poor’s 1500 index. We evaluate performan...

We present a method to estimate recognition performance for large galleries of individuals using data from a significantly smaller gallery. This is achieved by mathematically modelling a cumulative match characteristic (CMC) curve. The similarity scores of the smaller gallery are used to estimate the parameters of the model. After the parameters are estimated, the rank 1 point of the modelled C...