Probabilistic methods in additive number theory exploit randomness to reveal typical structural features of sums and differences of integers. Originating in pioneering work on random sumsets, these ...

In the event of dry weather and high winds, power system-ignited incidents are more likely to develop into wildfires. The risk is greater if vegetation is nearby. A new study provides the methodology ...

The key idea behind the probabilistic framework to machine learning is that learning can be thought of as inferring plausible models to explain observed data. A machine can use such models to make ...

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Decades ago, Paul Erdős used randomness to illuminate the vast and weird world of networks. Now mathematicians are making his technique even more powerful. In 1947, Paul Erdős, the itinerant Hungarian ...

The design and construction of capital projects can be extremely complex. Uncertainty and risk add to this complexity and, as a result, many projects experience significant cost overruns and schedule ...

Project Delivery Methods have expanded dramatically. The integration of design and construction on projects can reduce the project schedule and allow for construction and property management input ...