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In response to Pearl, Aronow et al. (2025) argue that randomized experiments are special among causal inference methods due to their statistical properties. I believe that the key distinction between randomized experiments and observational studies is not statistical, but rather epistemological in nature. In this comment, I aim to articulate this epistemological distinction and argue that it ought to take a more central role in these discussions.more » « lessFree, publicly-accessible full text available March 1, 2026
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Feldman, Moran; Harshaw, Christopher; Karbasi, Amin (, Journal of machine learning research)
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Harshaw, Christopher; Kazemi, Ehsan; Feldman, Moran; Karbasi, Amin (, Mathematics of Operations Research)We propose subsampling as a unified algorithmic technique for submodular maximization in centralized and online settings. The idea is simple: independently sample elements from the ground set and use simple combinatorial techniques (such as greedy or local search) on these sampled elements. We show that this approach leads to optimal/state-of-the-art results despite being much simpler than existing methods. In the usual off-line setting, we present SampleGreedy, which obtains a [Formula: see text]-approximation for maximizing a submodular function subject to a p-extendible system using [Formula: see text] evaluation and feasibility queries, where k is the size of the largest feasible set. The approximation ratio improves to p + 1 and p for monotone submodular and linear objectives, respectively. In the streaming setting, we present Sample-Streaming, which obtains a [Formula: see text]-approximation for maximizing a submodular function subject to a p-matchoid using O(k) memory and [Formula: see text] evaluation and feasibility queries per element, and m is the number of matroids defining the p-matchoid. The approximation ratio improves to 4p for monotone submodular objectives. We empirically demonstrate the effectiveness of our algorithms on video summarization, location summarization, and movie recommendation tasks.more » « less
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