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This paper studies the problem of simultaneous deciding on hypotheses and estimating a random parameter. We propose a joint decision and estimation (JDE) formulation, which amounts to minimizing a risk related to both decision and estimation while decision performance is also constrained within a tolerable level. The risk used in this paper is a weighted sum of estimation costs conditioned on correct...
We consider the problem of fusing local decision outputs into a global decision with a budget constraint. Each local decision maker is assumed to provide finite output regarding two competing hypotheses. A fusion rule is characterized by probabilistic mixing of decision trees corresponding to deterministic policies to reach a global decision. For practical problems where maximizing detection probability...
Decision performance metrics abound, but they all have three fundamental limitations: (a) none are unified for diverse situations including, in particular, the case with mis-specified truth; (b) none are comprehensive; and (c) they all rely on perfect knowledge of the ground truth. In this paper, we present a unified metric that measures decision performance comprehensively without the need to know...
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