Online computation is a model for formulating decision making under uncertainty. In an online problem, the algorithm does not know the entire input from the beginning; the input is revealed in a sequence of steps. At each step, the algorithm should make its decisions based on the past and without any knowledge about the future. Many important real-life problems such as robot navigation are intr...

*CRC for Freshwater Ecology, Centre for Riverine Landscapes, Griffith University, Nathan, Qld 4111, Australia, †CRC for Freshwater Ecology, Department of Environmental Management and Ecology, LaTrobe University, P. O. Box 821, Wodonga, Victoria 3689, Australia and §CRC for Freshwater Ecology, Monash University, Department of Biological Sciences, c/-MDFRC, P. O. Box 921, Albury, NSW 2640, Australia

Noise radars employ random waveforms in their transmission as compared to traditional radars. Considered enhanced Low Probability of Intercept (LPI) radars, they are resilient interference and jamming less vulnerable adversarial exploitation than conventional At its simplest, using a waveform such bandpass Gaussian noise probing signal provides limited radar performance. After concise review pa...

Information geometry describes a framework where probability densities can be viewed as differential geometry structures. This approach has shown that the geometry in the space of probability distributions that are parameterized by their covariance matrix is linked to the fundamentals concepts of estimation theory. In particular, prior work proposes a Riemannian metric the distance between the ...

Here, we will give an aside on probabilities, and in particular on various ways to establish what is know as concentration. Given some information about a distribution, e.g., its mean or its variance or information about higher moments, there are various ways to establish bounds on the tails of sums of random variables from that distribution. That is, there are various ways to establish that es...

food security in the world that water shortages are faced is very important, especially in arid regions. effects of climate change on agricultural water requirement have doubled this importance. in this study, the risk of water demand has been assessed for a wide range of products under climate change. aogcm models have been used to simulate climate variables. the climate change scenarios of cl...

We study the distribution of the percolation time T of 2-neighbour bootstrap percolation on [n] with initial set A ∼ Bin([n], p). We determine T up to a constant factor with high probability for all p above the critical probability for percolation, and to within a 1 + o(1) factor for a large range of p.