%PDF-1.3 1 0 obj << /Kids [ 4 0 R 5 0 R 6 0 R 7 0 R 8 0 R 9 0 R 10 0 R 11 0 R 12 0 R 13 0 R 14 0 R ] /Type /Pages /Count 11 >> endobj 2 0 obj << /Subject (Neural Information Processing Systems http\072\057\057nips\056cc\057) /Publisher (Curran Associates\054 Inc\056) /Language (en\055US) /Created (2018) /EventType (Poster) /Description-Abstract (In this paper\054 we study online convex optimization in dynamic environments\054 and aim to bound the dynamic regret with respect to any sequence of comparators\056 Existing work have shown that online gradient descent enjoys an \044O\050\134sqrt\173T\175\0501\053P\137T\051\051\044 dynamic regret\054 where \044T\044 is the number of iterations and \044P\137T\044 is the path\055length of the comparator sequence\056 However\054 this result is unsatisfactory\054 as there exists a large gap from the \044\134Omega\050\134sqrt\173T\0501\053P\137T\051\175\051\044 lower bound established in our paper\056 To address this limitation\054 we develop a novel online method\054 namely adaptive learning for dynamic environment \050Ader\051\054 which achieves an optimal \044O\050\134sqrt\173T\0501\053P\137T\051\175\051\044 dynamic regret\056 The basic idea is to maintain a set of experts\054 each attaining an optimal dynamic regret for a specific path\055length\054 and combines them with an expert\055tracking algorithm\056 Furthermore\054 we propose an improved Ader based on the surrogate loss\054 and in this way the number of gradient evaluations per round is reduced from \044O\050\134log T\051\044 to \0441\044\056 Finally\054 we extend Ader to the setting that a sequence of dynamical models is available to characterize the comparators\056) /Producer (PyPDF2) /Title (Adaptive Online Learning in Dynamic Environments) /Date (2018) /ModDate (D\07220190218212026\05508\04700\047) /Published (2018) /Type (Conference Proceedings) /firstpage (1323) /Book (Advances in Neural Information Processing Systems 31) /Description (Paper accepted and presented at the Neural Information Processing Systems Conference \050http\072\057\057nips\056cc\057\051) /Editors (S\056 Bengio and H\056 Wallach and H\056 Larochelle and K\056 Grauman and N\056 Cesa\055Bianchi and R\056 Garnett) /Author (Lijun Zhang\054 Shiyin Lu\054 Zhi\055Hua Zhou) /lastpage (1333) >> endobj 3 0 obj << /Type /Catalog /Pages 1 0 R >> endobj 4 0 obj << /Contents 15 0 R /Parent 1 0 R /Resources 16 0 R /MediaBox [ 0 0 612 792 ] /Annots [ 75 0 R 76 0 R 77 0 R 78 0 R 79 0 R 80 0 R 81 0 R 82 0 R 83 0 R 84 0 R 85 0 R 86 0 R 87 0 R 88 0 R 89 0 R 90 0 R 91 0 R 92 0 R 93 0 R 94 0 R 95 0 R 96 0 R 97 0 R 98 0 R 99 0 R 100 0 R 101 0 R 102 0 R ] /Type /Page >> endobj 5 0 obj << /Contents 103 0 R /Parent 1 0 R /Resources 104 0 R /MediaBox [ 0 0 612 792 ] /Annots [ 105 0 R 106 0 R 107 0 R 108 0 R 109 0 R 110 0 R 111 0 R 112 0 R 113 0 R 114 0 R 115 0 R 116 0 R 117 0 R 118 0 R 119 0 R 120 0 R 121 0 R ] /Type /Page >> endobj 6 0 obj << /Contents 122 0 R /Parent 1 0 R /Resources 123 0 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