%PDF-1.5 % 1 0 obj << /S /GoTo /D (section.1) >> endobj 4 0 obj (Introduction) endobj 5 0 obj << /S /GoTo /D (subsection.3) >> endobj 8 0 obj (Relationship to Prior Work) endobj 9 0 obj << /S /GoTo /D (subsection.4) >> endobj 12 0 obj (Our Contributions) endobj 13 0 obj << /S /GoTo /D (subsection.5) >> endobj 16 0 obj (Notation) endobj 17 0 obj << /S /GoTo /D (subsection.6) >> endobj 20 0 obj (Organization) endobj 21 0 obj << /S /GoTo /D (section.7) >> endobj 24 0 obj (Problem formulation) endobj 25 0 obj << /S /GoTo /D (section.13) >> endobj 28 0 obj (Estimation of [1.2pt]r.8ex.075exrank and [1.2pt]s.8ex.075exsparse Regression Tensors) endobj 29 0 obj << /S /GoTo /D (section.31) >> endobj 32 0 obj (Convergence Analysis of Tensor Projected Gradient Descent) endobj 33 0 obj << /S /GoTo /D (subsection.36) >> endobj 36 0 obj (Discussion of Theorem 4.2) endobj 37 0 obj << /S /GoTo /D (subsection.37) >> endobj 40 0 obj (Remarks on Proof of Theorem 4.2) endobj 41 0 obj << /S /GoTo /D (section.39) >> endobj 44 0 obj (Evaluating the Restricted Isometry Property for Sub-Gaussian Linear Maps) endobj 45 0 obj << /S /GoTo /D (subsection.42) >> endobj 48 0 obj (Discussion) endobj 49 0 obj << /S /GoTo /D (subsubsection.43) >> endobj 52 0 obj (Low Tucker-rank recovery) endobj 53 0 obj << /S /GoTo /D (subsubsection.44) >> endobj 56 0 obj (Sparse recovery) endobj 57 0 obj << /S /GoTo /D (subsection.45) >> endobj 60 0 obj (Outline of the Proof) endobj 61 0 obj << /S /GoTo /D (subsubsection.47) >> endobj 64 0 obj (Bound on covering number of G[1.2pt]r.8ex.075ex,[1.2pt]s.8ex.075ex, ) endobj 65 0 obj << /S /GoTo /D (subsubsection.56) >> endobj 68 0 obj (Deviation bound) endobj 69 0 obj << /S /GoTo /D (section.59) >> endobj 72 0 obj (Numerical Experiments) endobj 73 0 obj << /S /GoTo /D (subsection.60) >> endobj 76 0 obj (Synthetic Experiments) endobj 77 0 obj << /S /GoTo /D (subsection.68) >> endobj 80 0 obj (Neuroimaging Data Analysis) endobj 81 0 obj << /S /GoTo /D (section.70) >> endobj 84 0 obj (Conclusion) endobj 85 0 obj << /S /GoTo /D (appendix.71) >> endobj 88 0 obj (Appendix A. Proof of Lemma 4.3) endobj 89 0 obj << /S /GoTo /D (appendix.72) >> endobj 92 0 obj (Appendix B. Proof of Theorem 4.2) endobj 93 0 obj << /S /GoTo /D (appendix.83) >> endobj 96 0 obj (Appendix C. Proof of Lemma 5.4) endobj 97 0 obj << /S /GoTo /D (appendix.86) >> endobj 100 0 obj (Appendix D. Proof of Lemma 5.5) endobj 101 0 obj << /S /GoTo /D (appendix.87) >> endobj 104 0 obj (Appendix E. Proof of Lemma 5.6) endobj 105 0 obj << /S /GoTo /D (appendix.89) >> endobj 108 0 obj (Appendix F. Proof of Lemma 5.7) endobj 109 0 obj << /S /GoTo /D (appendix.95) >> endobj 112 0 obj (Appendix G. Proof of Theorem 5.2) endobj 113 0 obj << /S /GoTo /D (appendix.104) >> endobj 116 0 obj (Appendix H. Auxiliary Lemmas) endobj 117 0 obj << /S /GoTo /D [118 0 R /Fit] >> endobj 134 0 obj << /Length 4375 /Filter /FlateDecode >> stream xْܶ]_1!S:m%JTl?p9JrCrZ} x+iUI%l (6'7L7QC; UyY ~xȯ_>å!4&MCId(ټo~ ^nSulU2&xQ%ۊ+I+7"۵Y!YW-APț-Eteo/RMI$pʪ0MӍ_H88sPX)7;Q٬ *;T+4Ldqʓġn2vGQl+m6 "{2IhSq066L8ʆj: @&$PG;4;Şw*߯wԵey: '$?<'z" 6VM~)Zֳ-67O~H&܄P2N4.>tz2 )lXv ͷ-/@>S"*"sZPs}'4ߕGfrarwKњ o1b[fUB7IcBYC-Up2Z9#wǬs Yh;i270c[ Úvd'