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First provide a summary of the paper, and then address the following criteria: Quality, clarity, originality and significance. The paper develops lower and upper bounds on the required rank of adjacency tensor factorizations to recover the adjacency tensor. This is, it investigates the problem of the minimal rank required to express the true underlying data via factorizations. These bounds are shown to of practical use by scaling RESCAL up. The paper is extremely well written and makes several interesting and important contributions.
Munich airport halts flights after drone sightings; passengers stranded
Germany's Munich airport has resumed operations after drone sightings led to the cancellation of 17 flights, the diversion of 15 others and the stranding of some 3,000 passengers. Flights had restarted by early Friday, with flight tracking websites showing planes departing the airport at about 5:50am (03:50 GMT). At least 19 Lufthansa flights were affected, either cancelled or re-routed, because of the airport suspension, the spokesperson added. Earlier, the airport said that drone sightings were first reported by German air traffic control at 10:18pm local time [20:18 GMT] on Thursday, leading initially to a restriction on flights, which was then upgraded to a full suspension. Germany's DPA news agency said police reported that several people had seen a drone near the airport, with later sightings of a drone over the airport grounds.
DFacTo: Distributed Factorization of Tensors
We present a technique for significantly speeding up Alternating Least Squares (ALS) and Gradient Descent (GD), two widely used algorithms for tensor factorization. By exploiting properties of the Khatri-Rao product, we show how to efficiently address a computationally challenging sub-step of both algorithms. Our algorithm, DFacTo, only requires two sparse matrix-vector products and is easy to parallelize. DFacTo is not only scalable but also on average 4 to 10 times faster than competing algorithms on a variety of datasets. For instance, DFacTo only takes 480 seconds on 4 machines to perform one iteration of the ALS algorithm and 1,143 seconds to perform one iteration of the GD algorithm on a 6.5 million 2.5 million 1.5 million dimensional tensor with 1.2 billion non-zero entries.
Munich airport closes after drones spotted nearby
Germany's Munich airport has reopened after several drone sightings forced it to close and cancel more than a dozen flights on Thursday night. At least 17 flights were grounded in Munich, affecting nearly 3,000 passengers, while the airport said it diverted a further 15 flights to nearby cities. On Friday, a spokesperson for German flag carrier Lufthansa said flight operations have since resumed according to schedule. There was no immediate confirmation of where the drones had come from. Several airports across Europe have closed down in recent weeks because of unidentified drones.