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No. of bitstreams: 0 Previous issue date: 2017-02-16 Australian Research Council European Gravitational Observatory (EGO) consortium Council of Scientific and Industrial Research of India Department of Science and Technology, India Science & Engineering Research Board, India Ministry of Human Resource Development, India Spanish Ministerio de Economia y Competitividad of the Govern de les Illes Balears Conselleria d'Economia i Competitivitat of the Govern de les Illes Balears Conselleria d'Educacio, Cultura i Universitats of the Govern de les Illes Balears National Science Centre of Poland European Commission Royal Society Scottish Funding Council Scottish Universities Physics Alliance Hungarian Scientific Research Fund Lyon Institute of Origins National Research Foundation of Korea Industry Canada Province of Ontario through the Ministry of Economic Development and Innovation Natural Science and Engineering Research Council Canada Canadian Institute for Advanced Research Brazilian Ministry of Science, Technology, and Innovation Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) Russian Foundation for Basic Research Leverhulme Trust Research Corporation Ministry of Science and Technology, Taiwan Kavli Foundation Science and Technology Facilities Council We present the results from an all-sky search for short-duration gravitational waves in the data of the first run of the Advanced LIGO detectors between September 2015 and January 2016. The search algorithms use minimal assumptions on the signal morphology, so they are sensitive to a wide range of sources emitting gravitational waves. The analyses target transient signals with duration ranging from milliseconds to seconds over the frequency band of 32 to 4096 Hz. The first observed gravitational-wave event, GW150914, has been detected with high confidence in this search; the other known gravitational-wave event, GW151226, falls below the search's sensitivity. Besides GW150914, all of the search results are consistent with the expected rate of accidental noise coincidences. Finally, we estimate rate-density limits for a broad range of non-binary-black-hole transient gravitational-wave sources as a function of their gravitational radiation emission energy and their characteristic frequency. These rate-density upper limits are stricter than those previously published by an order of magnitude. 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