Instagram has more than 400 million monthly active accounts who share more than 80 million pictures and videos daily. This large volume of user-generated content is the application's notable strength, but also makes the problem of finding the authoritative users for a given topic challenging. Discovering topical authorities can be useful for providing relevant recommendations to the users. In addition, it can aid in building a catalog of topics and top topical authorities in order to engage new users, and hence provide a solution to the cold-start problem. In this paper, we present a novel approach that we call the Authority Learning Framework (ALF) to find topical authorities in Instagram. ALF is based on the self-described interests of the follower base of popular accounts. We infer regular users' interests from their self-reported biographies that are publicly available and use Wikipedia pages to ground these interests as fine-grained, disambiguated concepts. We propose a generalized label propagation algorithm to propagate the interests over the follower graph to the popular accounts. We show that even if biography-based interests are sparse at an individual user level they provide strong signals to infer the topical authorities and let us obtain a high precision authority list per topic. Our experiments demonstrate that ALF performs significantly better at user recommendation task compared to fine-tuned and competitive methods, via controlled experiments, in-the-wild tests, and over an expert-curated list of topical authorities.

The Gibbs sampling method has been widely used for sequence analysis after it was successfully applied to the problem of identifying regulatory motif sequences upstream of genes. Since then numerous variants of the original idea have emerged, however in all cases the application has been to finding short motifs in collections of short sequences (typically less than 100 nucleotides long). In this paper we introduce a Gibbs sampling approach for identifying genes in multiple large genomic sequences up to hundreds of kilobases long. This approach leverages the evolutionary relationships between the sequences to improve the gene predictions, without explicitly aligning the sequences. We have applied our method to the analysis of genomic sequence from 14 genomic regions, totaling roughly 1.8Mb of sequence in each organism. We show that our approach compares favorably with existing ab-initio approaches to gene finding, including pairwise comparison based gene prediction methods which make explicit use of alignments. Furthermore, excellent performance can be obtained with as little as 4 organisms, and the method overcomes a number of difficulties of previous comparison based gene finding approaches: it is robust with respect to genomic rearrangements, can work with draft sequence, and is fast (linear in the number and length of the sequences). It can also be seamlessly integrated with Gibbs sampling motif detection methods.

In this work, we study the complexity of the problem of approximate query optimization. We show that, for any δ > 0, the problem of finding a join order sequence whose cost is within a factor 2Θ(log1-δ(K)) of K, where K is the cost of the optimal join order sequence is NP-Hard. The complexity gap remains if the number of edges in the query graph is constrained to be a given function e(n) of the number of vertices n of the query graph, where n(n - 1)/2 - Θ(nτ) ≥ e(n) ≥ n + Θ(nτ) and τ is any constant between 0 and 1. These results show that, unless P=NP, the query optimization problem cannot be approximately solved by an algorithm that runs in polynomial time and has a competitive ratio that is within some polylogarithmic factor of the optimal cost.