Order matters

Compilation Order Matters

At design time, the compiler writer selects a set of optimizations and an order in which to apply them. These choices have a direct impact on the quality of code that the compiler can generate. They also determine, to a great extent, the set of programs for which the compiler generates good code. Making good choices is difficult for several reasons. The sheer number of transformations that have...

Why Order Matters :

Hosts in a well-architected enterprise infrastructure are self-administered; they perform their own maintenance and upgrades. By definition, self-administered hosts execute self-modifying code. They do not behave according to simple state machine rules, but can incorporate complex feedback loops and evolutionary recursion. The implications of this behavior are of immediate concern to the reliab...

Motion Control : Why Order Matters

When Order Matters for Iterated Strict Dominance

We demonstrate that iterated elimination of strictly dominated strategies is an order dependent procedure. We also prove that order does not matter if strategy spaces are compact and payoff functions continuous. Examples show that this result is tight.

Order Matters: Sequence to sequence for sets

Sequences have become first class citizens in supervised learning thanks to the resurgence of recurrent neural networks. Many complex tasks that require mapping from or to a sequence of observations can now be formulated with the sequence-to-sequence (seq2seq) framework which employs the chain rule to efficiently represent the joint probability of sequences. In many cases, however, variable siz...