MARATHE, JAYDEEP P. METRIC: Tracking Memory Bottlenecks via Binary Rewriting (Under the direction of Assistant Professor Dr. Frank Mueller). Over recent decades, computing speeds have grown much faster than memory access speeds. This differential rate of improvement between processor speeds and memory speeds has led to an ever-increasing processor-memory gap. Overall computing speeds for for mo...
In many practical situations, we are faced with a necessity to combine sophisticated mathematical knowledge about the analyzed systems with informal expert knowledge. To make this combination natural, it is desirable to reformulate the abstract mathematical knowledge in understandable intuitive terms. In this paper, we show how this can be done for an abstract metric. 1 For Data Fusion, It Is D...
We show that if m,n ∈ N and k ∈ {1, . . . , n} satisfy m > n 3/2 √ k then for every p ∈ [2,∞) and f : Z4m → R we have 1 ( n k ) ∑ S⊆{1,...,n} |S|=k E [∣∣f(x + 2m∑j∈S εjej)− f(x)∣∣p] mp
