We study the quantum query complexity of minor-closed graph properties, which include such problems as determining whether a graph is planar, is a forest, or does not contain a path of a given length.
`Dyad' means a pair, `dyadic' means binary, and in this talk I'll present some simple algorithms for rounding real vectors to 0-1 vectors without losing much.
This talk will focus on the problem of large scale multi-sensor multi-data-set sensor based perception and sensor fusion. The application context of this study is large scale terrain modeling for mining automation.
Let a_1, a_2, ..., a_n and b_1, b_2, ..., b_n be positive integers each of which is at most n bits long. Let S be the difference between the sum of square roots of a_i's and the sum of square roots of the b_j's.
Various in silico methods are employed to predict toxicity in pharmaceutical R&D. The methods can range from simple structural alerts all the way to detailed mechanistic modeling of biological systems.
Suppose we want to design an auction for selling items to a set of customers. Such an auction will take the valuations of the customers as input, and specify the allocation of the items and the payments.
We know that the Gaussian distribution concentrates sharply around its mean, ie. the probability mass outside a few standard deviations decreases exponentially in the number of steps taken.
