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Population-based heteropolymer design to mimic protein mixtures

Biological fluids, the most complex blends, have compositions that constantly vary and cannot be molecularly defined. Despite these uncertainties, proteins fluctuate, fold, function and evolve as programmed. We propose that in addition to the known …

The Set Splittability Problem

The set splittability problem is the following: given a finite collection of finite sets, does there exist a single set that contains exactly half the elements from each set in the collection? (If a set has odd size, we allow the floor or ceiling.) …

Scalable M-Channel Critically Sampled Filter Banks for Graph Signals

We investigate a scalable M-channel critically sampled filter bank for graph signals, where each of the M filters is supported on a different subband of the graph Laplacian spectrum. For analysis, the graph signal is filtered on each subband and …