%PDF-1.3 1 0 obj << /Kids [ 3 0 R 4 0 R 5 0 R 6 0 R 7 0 R 8 0 R 9 0 R 10 0 R 11 0 R ] /Type /Pages /Count 9 >> endobj 2 0 obj << /Title (Simultaneous Visual Data Completion and Denoising Based on Tensor Rank and Total Variation Minimization and Its Primal\055Dual Splitting Algorithm) /Producer (PyPDF2) /Author (Tatsuya Yokota\054 Hidekata Hontani) /Subject (2017 IEEE Conference on Computer Vision and Pattern Recognition) >> endobj 3 0 obj << /Parent 1 0 R /Rotate 0 /Type /Page /Contents 13 0 R /Resources << /XObject << /x8 14 0 R /x6 17 0 R /x12 20 0 R /x10 23 0 R >> /ExtGState << /s9 26 0 R /R29 29 0 R /s11 30 0 R /a0 << /CA 1 /ca 1 >> /s5 33 0 R /s7 36 0 R >> /Font << /F2 39 0 R /F1 40 0 R /R38 41 0 R /R36 45 0 R /R34 48 0 R /R32 53 0 R /R30 57 0 R >> /ProcSet [ /ImageC /Text /PDF /ImageI /ImageB ] >> /MediaBox [ 0 0 612 792 ] /Annots [ 60 0 R 61 0 R 62 0 R 63 0 R 64 0 R 65 0 R 66 0 R 67 0 R 68 0 R 69 0 R 70 0 R 71 0 R 72 0 R 73 0 R 74 0 R 75 0 R 76 0 R 77 0 R 78 0 R 79 0 R 80 0 R ] >> endobj 4 0 obj << /Parent 1 0 R /Rotate 0 /Type /Page /Contents 81 0 R /Resources << /ExtGState << /R29 29 0 R >> /Font << /R79 82 0 R /R77 85 0 R /R75 90 0 R /F2 94 0 R /R99 95 0 R /R89 99 0 R /F1 103 0 R /R83 104 0 R /R91 108 0 R /R81 112 0 R /R93 116 0 R /R87 120 0 R /R95 123 0 R /R85 127 0 R /R97 130 0 R /R109 135 0 R /R101 139 0 R /R113 144 0 R /R103 149 0 R /R111 152 0 R /R105 156 0 R /R107 159 0 R /R115 163 0 R /R32 53 0 R /R30 57 0 R >> /ProcSet [ /ImageC /Text /PDF /ImageI /ImageB ] >> /MediaBox [ 0 0 612 792 ] /Annots [ 166 0 R 167 0 R 168 0 R 169 0 R 170 0 R 171 0 R 172 0 R 173 0 R 174 0 R 175 0 R 176 0 R 177 0 R 178 0 R 179 0 R 180 0 R 181 0 R 182 0 R 183 0 R 184 0 R 185 0 R 186 0 R 187 0 R 188 0 R 189 0 R 190 0 R 191 0 R ] >> endobj 5 0 obj << /Parent 1 0 R /Rotate 0 /Type /Page /Contents 192 0 R /Resources << /ExtGState << /R29 29 0 R >> /Font << /R79 82 0 R /R77 85 0 R /R75 90 0 R /F2 193 0 R /R99 95 0 R /R89 99 0 R /F1 194 0 R /R83 104 0 R /R91 108 0 R /R81 112 0 R /R93 116 0 R /R87 120 0 R /R95 123 0 R /R85 127 0 R /R97 130 0 R /R113 144 0 R /R103 149 0 R /R38 41 0 R /R32 53 0 R /R30 57 0 R >> /ProcSet [ /ImageC /Text /PDF /ImageI /ImageB ] >> /MediaBox [ 0 0 612 792 ] /Annots [ 195 0 R 196 0 R 197 0 R 198 0 R 199 0 R 200 0 R 201 0 R 202 0 R 203 0 R 204 0 R 205 0 R 206 0 R 207 0 R 208 0 R 209 0 R 210 0 R 211 0 R 212 0 R 213 0 R 214 0 R 215 0 R ] >> endobj 6 0 obj << /Parent 1 0 R /Rotate 0 /Type /Page /Contents 216 0 R /Resources << /ExtGState << /R29 29 0 R >> /Font << /R79 82 0 R /R77 85 0 R /R75 90 0 R /F2 217 0 R /R99 95 0 R /R89 99 0 R /F1 218 0 R /R83 104 0 R /R91 108 0 R /R81 112 0 R /R93 116 0 R /R87 120 0 R /R95 123 0 R /R85 127 0 R /R97 130 0 R /R162 219 0 R /R164 223 0 R /R101 139 0 R /R113 144 0 R /R103 149 0 R /R115 163 0 R /R32 53 0 R /R30 57 0 R >> /ProcSet [ /ImageC /Text /PDF /ImageI /ImageB ] >> /MediaBox [ 0 0 612 792 ] /Annots [ 228 0 R 229 0 R 230 0 R 231 0 R 232 0 R 233 0 R 234 0 R 235 0 R 236 0 R 237 0 R 238 0 R 239 0 R 240 0 R 241 0 R 242 0 R 243 0 R ] >> endobj 7 0 obj << /Parent 1 0 R /Rotate 0 /Type /Page /Contents 244 0 R /Resources << /ExtGState << /R29 29 0 R >> /Font << /R181 245 0 R /R183 248 0 R /R185 252 0 R /R187 255 0 R /R77 85 0 R /R75 90 0 R /F2 258 0 R /R99 95 0 R /R89 99 0 R /F1 259 0 R /R83 104 0 R /R91 108 0 R /R81 112 0 R /R87 120 0 R /R95 123 0 R /R85 127 0 R /R97 130 0 R /R101 139 0 R /R113 144 0 R /R111 152 0 R /R115 163 0 R /R36 45 0 R /R32 53 0 R /R30 57 0 R >> /ProcSet [ /ImageC /Text /PDF /ImageI /ImageB ] >> /MediaBox [ 0 0 612 792 ] /Annots [ 260 0 R 261 0 R 262 0 R 263 0 R 264 0 R 265 0 R 266 0 R 267 0 R 268 0 R 269 0 R 270 0 R ] >> endobj 8 0 obj << /Parent 1 0 R /Rotate 0 /Type /Page /Contents 271 0 R /Resources << /XObject << /R211 272 0 R /R210 273 0 R /R213 274 0 R /R212 275 0 R /R215 276 0 R /R214 277 0 R /R208 278 0 R /R209 279 0 R >> /ExtGState << /R29 29 0 R >> /Font << /R206 280 0 R /R77 85 0 R /R75 90 0 R /F2 283 0 R /R99 95 0 R /F1 284 0 R /R36 45 0 R /R91 108 0 R /R81 112 0 R /R32 53 0 R /R30 57 0 R >> /ProcSet [ /Text /ImageC /ImageB /PDF /ImageI ] >> /MediaBox [ 0 0 612 792 ] /Annots [ 285 0 R 286 0 R 287 0 R 288 0 R 289 0 R 290 0 R 291 0 R 292 0 R 293 0 R 294 0 R 295 0 R ] >> endobj 9 0 obj << /Parent 1 0 R /Rotate 0 /Type /Page /Contents 296 0 R /Resources << /XObject << /R223 297 0 R >> /ExtGState << /R29 29 0 R >> /Font << /R111 152 0 R /R77 85 0 R /R75 90 0 R /F2 298 0 R /R99 95 0 R /F1 299 0 R /R91 108 0 R /R81 112 0 R /R32 53 0 R /R30 57 0 R >> /ProcSet [ /Text /ImageC /ImageB /PDF /ImageI ] >> /MediaBox [ 0 0 612 792 ] /Annots [ 300 0 R 301 0 R ] >> endobj 10 0 obj << /Parent 1 0 R /Rotate 0 /Type /Page /Contents 302 0 R /Resources << /XObject << /R239 303 0 R /R238 304 0 R /R237 305 0 R /R236 306 0 R /R235 307 0 R /R234 308 0 R /R233 309 0 R /R232 310 0 R /R231 311 0 R /R230 312 0 R /R242 313 0 R /R243 314 0 R /R240 315 0 R >> /ExtGState << /R29 29 0 R >> /Font << /R187 255 0 R /R111 152 0 R /F2 316 0 R /F1 317 0 R /R34 48 0 R /R32 53 0 R /R30 57 0 R >> /ProcSet [ /Text /ImageC /ImageB /PDF /ImageI ] >> /Group 318 0 R /MediaBox [ 0 0 612 792 ] /Annots [ ] >> endobj 11 0 obj << /Parent 1 0 R /Rotate 0 /Type /Page /Contents 319 0 R /Resources << /ExtGState << /R29 29 0 R >> /Font << /F2 320 0 R /F1 321 0 R /R38 41 0 R /R34 48 0 R /R32 53 0 R /R30 57 0 R >> /ProcSet [ /ImageC /Text /PDF /ImageI /ImageB ] >> /MediaBox [ 0 0 612 792 ] /Annots [ 322 0 R 323 0 R 324 0 R 325 0 R 326 0 R 327 0 R 328 0 R 329 0 R 330 0 R 331 0 R 332 0 R 333 0 R 334 0 R 335 0 R 336 0 R 337 0 R 338 0 R 339 0 R 340 0 R 341 0 R 342 0 R 343 0 R 344 0 R 345 0 R 346 0 R 347 0 R 348 0 R 349 0 R 350 0 R 351 0 R 352 0 R 353 0 R 354 0 R 355 0 R 356 0 R 357 0 R 358 0 R 359 0 R 360 0 R 361 0 R ] >> endobj 12 0 obj << /Type /Catalog /Pages 1 0 R >> endobj 13 0 obj << /Length 20067 >> stream q q q 0.10000 0 0 0.10000 0 0 cm /R29 gs 0 g q 10 0 0 10 0 0 cm BT /R30 14.34620 Tf 1 0 0 1 52.22300 675.06700 Tm [ (Simultaneous) -250.00800 (V) 37.01370 (isual) -250.00400 (Data) -249.99800 (Completion) -250.00200 (and) -249.99100 (Denoising) -250.01000 (based) -249.99100 (on) -250.01200 (T) 91.98800 (ensor) -250.00200 (Rank) -250.00800 (and) ] TJ 32.89490 -17.93320 Td [ (T) 91.98920 (otal) -250.01100 (V) 91.98800 (ariation) -250.00200 (Minimization) -250 (and) -249.99100 (its) -250.00500 (Primal\055dual) -249.99300 (Splitting) -250.01200 (Algorithm) ] TJ /R32 11.95520 Tf 119.89000 -37.85780 Td [ (T) 80.01470 (atsuya) -250.00400 (Y) 110.01600 (ok) 10.00850 (ota) -2250.01000 (Hidekata) -250.01600 (Hontani) ] TJ 16.88090 -13.94730 Td [ (Nago) 10.00230 (ya) -250.00800 (Institute) -250.01600 (of) -250.01400 (T) 70.01640 (echnology) ] TJ -24.61600 -13.94800 Td [ (Gokiso\054) -249.98700 (Sho) 24.99160 (w) 10 (a\054) -249.98700 (Nago) 10.00230 (ya\054) -249.99700 (466\0558555\054) -250.00600 (Japan) ] TJ /R34 8.96640 Tf 15.03400 -13.94770 Td [ (f) -0.90126 ] TJ /R36 8.96640 Tf 4.60781 0 Td [ (t\056yokota\054) -600.00500 (hontani) ] TJ /R34 8.96640 Tf 91.45700 0 Td [ (g) -0.90126 ] TJ /R36 8.96640 Tf 4.60703 0 Td (\100nitech\056ac\056jp) Tj /R30 11.95520 Tf -166.98400 -41.04610 Td (Abstract) Tj /R38 9.96260 Tf -83.92770 -24.92230 Td [ (T) 91.99870 (ensor) -270.99600 (completion) -271.01700 (has) -272.01700 (attr) 15.00360 (acted) -271.00500 (attention) -271.00900 (because) -271.00600 (of) -271.98200 (its) ] TJ -11.95510 -11.95470 Td [ (pr) 44.98390 (omising) -378.99600 (ability) -377.98100 (and) -378.98100 (g) 10.00320 (ener) 15.01960 (ality) 54.99330 (\056) -696 (Howe) 14.99500 (ver) 110.99900 (\054) -410.00800 (ther) 36.98890 (e) -379 (ar) 36.98650 (e) -379 (fe) 14.98030 (w) ] TJ 11.95510 TL T* [ (studies) -220.98900 (on) -221.01200 (noisy) -221.00400 (scenarios) -220.01000 (whic) 14.99870 (h) -221.01700 (dir) 36.99260 (ectly) -220.98000 (solve) -221.01200 (an) -221.01200 (optimiza\055) ] TJ 11.95590 TL T* [ (tion) -288.98600 (pr) 44.98390 (oblem) -288.99500 (consisting) -287.98100 (of) -288.99800 (a) -289.00600 (\223noise) -289.01700 (inequality) -289.01100 (constr) 15.00240 (aint\224\056) ] TJ 11.95510 TL T* [ (In) -454 (this) -454.01600 (paper) 111.01800 (\054) -505.01100 (we) -453.01400 (pr) 44.98390 (opose) -453.98600 (a) -453.99800 (ne) 15.01830 (w) -453.98900 (tensor) -454.01700 (completion) -454.00500 (and) ] TJ T* [ (denoising) -364.01600 (model) -364.00200 (including) -362.99600 (tensor) -363.99300 (total) -363.98600 (variation) -364.01300 (and) -364.00300 (ten\055) ] TJ T* [ (sor) -298.01200 (nuclear) -298.00900 (norm) -298.01000 (minimization) -298 (with) -297.99600 (a) -297.98500 (r) 14.98280 (ang) 10.01300 (e) -299.01400 (of) -298.01600 (values) -298.01400 (and) ] TJ T* [ (noise) -302.98900 (inequalities\056) -469.98300 (Furthermor) 37.01710 (e) 9.99343 (\054) -315.98400 (we) -303 (de) 15.01710 (veloped) -304.01800 (its) -302.98900 (solution) ] TJ 11.95590 TL T* [ (algorithm) -326.99300 (based) -328.00700 (on) -326.99400 (a) -327 (primal\055dual) -328.01000 (splitting) -326.98700 (method\054) -347.01800 (whic) 15 (h) ] TJ 11.95510 TL T* [ (is) -332.01000 (computationally) -333.01700 (ef) 18 <026369656e74> -332.00700 (as) -332.99200 (compar) 36.99380 (ed) -331.98400 (to) -332.01100 (tensor) -333.01800 (decom\055) ] TJ T* [ (position) -354.99100 (based) -354.98200 (non\055con) 40.01050 (ve) 19.98810 (x) -355.98500 (optimization\056) -624.99900 (Lastly) 55.00550 (\054) -382.01200 (e) 19.99180 (xtensive) ] TJ T* [ (e) 19.99240 (xperiments) -339.99500 (demonstr) 15.01100 (ated) -340.00900 (the) -338.99500 (advanta) 9.98608 (g) 10.00320 (es) -339.98000 (of) -340.00900 (the) -340.01400 (pr) 44.98510 (oposed) ] TJ T* [ (method) -332.98200 (for) -332.98500 (visual) -333.01700 (data) -332 (r) 37.01960 (etrie) 14.99010 (val) -332.99600 (suc) 14.98520 (h) -332.99800 (as) -332.99100 (for) -332.98600 (color) -332.98400 (ima) 10.01300 (g) 10.00320 (es\054) ] TJ T* [ (mo) 10.00630 (vies\054) -249.99000 (and) -249.98200 (3D\055volumetric) -250.00500 (data\056) ] TJ /R30 11.95520 Tf 38.90200 TL T* [ (1\056) -249.99000 (Intr) 18.01460 (oduction) ] TJ /R32 9.96260 Tf 11.95510 -19.94100 Td [ (Completion) -258.99200 (is) -257.98300 (a) -258.98100 (technique) -258.01500 (of) -259.01400 <026c6c696e67> -259.00900 (missing) -257.98600 (elements) -258.99100 (of) ] TJ -11.95510 -11.95510 Td [ (incomplete) -414.99300 (data) -414.00600 (using) -415 (the) -414.00200 (v) 24.98110 (alues) -415.01900 (of) -414.00800 (reference) -415.01700 (\050a) 19.98930 (v) 24.98110 (ailable\051) ] TJ 11.95470 TL T* [ (elements) -431.98200 (and) -432 (the) -431.01900 (structural) -431.98400 (assumptions) -431.98400 (\050priors\051) -431.99700 (of) -432.00400 (data\056) ] TJ 11.95630 TL T* [ (When) -273.98700 (the) -273.00500 (reference) -273.98100 (and) -273.00700 (missing) -273.98400 (elements) -272.98900 (are) -274.00600 (independent\054) ] TJ /R38 9.96260 Tf 11.95510 TL T* [ (e) 15.01280 (\056g) ] TJ /R32 9.96260 Tf 11.74610 0 Td [ (\056\054) -267.00900 (white) -264.01700 (noise\054) -268.01200 (completion) -263.98900 (is) -263.98200 (impossi) 0.99003 (ble\056) -352.01000 (Ho) 24.98360 (we) 25.01300 (v) 14.98280 (er) 39.98600 (\054) -267.99200 (most) ] TJ -11.74610 -11.95470 Td [ (real\055w) 9.99343 (orld) -403.99700 (data) -404.98800 (ha) 19.99790 (v) 14.98280 (e) -404.01600 (a) -404.99600 (fe) 25.00810 (w) -404.00900 (redundant) -405.01100 (properties) -403.99100 (that) -405.01600 (can) ] TJ T* [ (be) -323.00400 (used) -324.01300 (for) -323.00600 (completion\054) -342.01300 (such) -324.01200 (as) -323.00400 (symmetry) 65.00880 (\054) -342.01900 (repetition\054) -341.98700 (and) ] TJ T* [ (sparsity) 64.99830 (\056) -333.98100 (F) 14.99200 (or) -257.99400 (e) 15.01220 (xample\054) -260.01200 (the) -257.98900 (frequenc) 15.01220 (y\055domain) -258.00400 (of) -257.99400 (natural) -257.98400 (im\055) ] TJ T* [ (ages) -196.00400 (is) -195.99300 (typically) -196.01000 (considerably) -196.01600 (sparse\054) -207.01700 (and) -196.00200 (this) -195.98200 (property) -195.98900 (leads) ] TJ 11.95590 TL T* [ (to) -362.98600 (an) -364.01700 (ef) 25.00810 <026369656e74> -363.01300 (compression) -364.01800 (ratio) -362.98600 (in) -364.00500 (a) -363.00300 (JPEG) -363.01000 (encoder) -364.02000 (\133) ] TJ ET Q 0 1 0 rg q 10 0 0 10 0 0 cm BT /R32 9.96260 Tf 1 0 0 1 270.59500 189.60800 Tm (31) Tj ET Q 0 g q 10 0 0 10 0 0 cm BT /R32 9.96260 Tf 1 0 0 1 280.55700 189.60800 Tm (\135\056) Tj -230.44500 -11.95510 Td [ (Moreo) 14.99140 (v) 14.98280 (er) 39.98600 (\054) -479.99600 (data) -432.98300 (obtained) -434.01900 (using) -432.99800 (multi\055spectral) -434.00100 (imaging) -434.00800 (or) ] TJ 11.95510 TL T* [ (microphone) -309.01400 (arrays) -309.99100 (can) -309.01100 (frequently) -310.00700 (be) -309.00600 (represented) -309.00200 (by) -310.01700 (linear) ] TJ T* [ (combinations) -336.00500 (of) -335.98200 (a) -335.98800 (fe) 25.00810 (w) -336.02000 (patterns\054) -357.99800 (which) -336.00800 (allo) 24.99090 (ws) -336.01300 (for) -335.98600 (ef) 25.00810 <026369656e74> ] TJ T* [ (data) -382.01100 (analysis\054) -414.99800 (such) -382.00200 (as) -382.99400 (lo) 24.98850 (w\055rank) -382.01200 (matrix\057tensor) -382.00700 (decomposi\055) ] TJ T* [ (tions) -232.00900 (\133) ] TJ ET Q 0 1 0 rg q 10 0 0 10 0 0 cm BT /R32 9.96260 Tf 1 0 0 1 75.11840 129.83300 Tm (25) Tj ET Q 0 g q 10 0 0 10 0 0 cm BT /R32 9.96260 Tf 1 0 0 1 85.08090 129.83300 Tm (\054) Tj ET Q 0 1 0 rg q 10 0 0 10 0 0 cm BT /R32 9.96260 Tf 1 0 0 1 89.88280 129.83300 Tm (12) Tj ET Q 0 g q 10 0 0 10 0 0 cm BT /R32 9.96260 Tf 1 0 0 1 99.84530 129.83300 Tm [ (\135\056) -303.99000 (Structural) -230.99000 (assumptions) -232.01900 (must) -232.01000 (be) -232 (used) -231.98800 (in) -231.98800 (com\055) ] TJ -49.73320 -11.95630 Td [ (pletion) -248.98500 (to) -249.00500 (obtain) -248.99300 (good) -248.99800 (performance\054) -249.99500 (and) -249.01200 (assumptions) -248.99500 (about) ] TJ 11.95470 TL T* [ (the) -249.99000 (structure) -249.98200 (of) -249.99600 (data) -249.99400 (af) 25.00810 (fect) -250.00200 (the) -249.99000 (results) -250.01200 (of) -249.99500 (completion\056) ] TJ 11.95510 -12.96720 Td [ (In) -277.01100 (recent) -277.01700 (years\054) -283.99100 (lo) 24.98850 (w\055rank) -277.01000 (priors) -276.99500 (ha) 19.99790 (v) 14.98280 (e) -277.99800 (g) 4.98446 (ained) -277.00500 (importance) ] TJ -11.95510 -11.95510 Td [ (in) -316.99400 (matrix) -316.98200 (and) -317.98000 (tensor) -316.99000 (completion) -317 (problems) -317.01300 (\133) ] TJ ET Q 0 1 0 rg q 10 0 0 10 0 0 cm BT /R32 9.96260 Tf 1 0 0 1 226.79800 81 Tm (6) Tj ET Q 0 g q 10 0 0 10 0 0 cm BT /R32 9.96260 Tf 1 0 0 1 231.78000 81 Tm (\054) Tj ET Q 0 1 0 rg q 10 0 0 10 0 0 cm BT /R32 9.96260 Tf 1 0 0 1 237.42900 81 Tm (23) Tj ET Q 0 g q 10 0 0 10 0 0 cm BT /R32 9.96260 Tf 1 0 0 1 247.39100 81 Tm [ (\135) -317.98900 (and) -317.00100 (sig\055) ] TJ 61.47110 455.38700 Td [ (nal) -251.99000 (separation) -250.99700 (\133) ] TJ ET Q 0 1 0 rg q 10 0 0 10 0 0 cm BT /R32 9.96260 Tf 1 0 0 1 370.31100 536.38700 Tm (21) Tj ET Q 0 g q 10 0 0 10 0 0 cm BT /R32 9.96260 Tf 1 0 0 1 380.27400 536.38700 Tm (\054) Tj ET Q 0 1 0 rg q 10 0 0 10 0 0 cm BT /R32 9.96260 Tf 1 0 0 1 385.27500 536.38700 Tm (4) Tj ET Q 0 g q 10 0 0 10 0 0 cm BT /R32 9.96260 Tf 1 0 0 1 390.25600 536.38700 Tm [ (\135\056) -313.98700 (A) -251.99500 (promising) -251.98700 (application) -250.98300 (of) -251.99700 (lo) 24.98600 (w\055rank) ] TJ -81.39410 -11.95510 Td [ (based) -394.98600 (completion) -394.98800 (is) -395.02000 (a) -394.99800 (recommender) -395.01700 (system\054) -430.99200 (which) -395.01700 (auto\055) ] TJ 11.95510 TL T* [ (matically) -333.01100 (recomm) 0.99738 (ends) -332.99100 (appropriate) -332.98900 (products) -331.99900 (for) -333.00300 (customers) ] TJ T* [ (based) -271.00600 (on) -271.98400 (purchase) -271.00900 (history) 65.00390 (\056) -374.01100 (As) -271.00400 (there) -271.01400 (is) -271.97900 (no) -271.00400 (noise) -270.99400 (in) -271.00400 (this) -272.00900 (type) ] TJ 11.95630 TL T* [ (of) -418.00600 (data\054) -459.99700 (standard) -417.01100 (noiseless) -418.01400 (matrix) -417.98400 (and) -418.00400 (tensor) -417.99400 (completion) ] TJ 11.95510 TL T* [ (frame) 25.01300 (w) 10 (orks) -282.01900 (can) -281.01400 (be) -281.99200 (applied) -280.99200 (\133) ] TJ ET Q 0 1 0 rg q 10 0 0 10 0 0 cm BT /R32 9.96260 Tf 1 0 0 1 423.19300 476.61100 Tm (3) Tj ET Q 0 g q 10 0 0 10 0 0 cm BT /R32 9.96260 Tf 1 0 0 1 428.17400 476.61100 Tm (\054) Tj ET Q 0 1 0 rg q 10 0 0 10 0 0 cm BT /R32 9.96260 Tf 1 0 0 1 433.47400 476.61100 Tm (7) Tj ET Q 0 g q 10 0 0 10 0 0 cm BT /R32 9.96260 Tf 1 0 0 1 438.45500 476.61100 Tm (\054) Tj ET Q 0 1 0 rg q 10 0 0 10 0 0 cm BT /R32 9.96260 Tf 1 0 0 1 443.75500 476.61100 Tm (24) Tj ET Q 0 g q 10 0 0 10 0 0 cm BT /R32 9.96260 Tf 1 0 0 1 453.71800 476.61100 Tm (\054) Tj ET Q 0 1 0 rg q 10 0 0 10 0 0 cm BT /R32 9.96260 Tf 1 0 0 1 459.00800 476.61100 Tm (18) Tj ET Q 0 g q 10 0 0 10 0 0 cm BT /R32 9.96260 Tf 1 0 0 1 468.97100 476.61100 Tm (\054) Tj ET Q 0 1 0 rg q 10 0 0 10 0 0 cm BT /R32 9.96260 Tf 1 0 0 1 474.27100 476.61100 Tm (8) Tj ET Q 0 g q 10 0 0 10 0 0 cm BT /R32 9.96260 Tf 1 0 0 1 479.25200 476.61100 Tm (\054) Tj ET Q 0 1 0 rg q 10 0 0 10 0 0 cm BT /R32 9.96260 Tf 1 0 0 1 484.55200 476.61100 Tm (23) Tj ET Q 0 g q 10 0 0 10 0 0 cm BT /R32 9.96260 Tf 1 0 0 1 494.51400 476.61100 Tm (\054) Tj ET Q 0 1 0 rg q 10 0 0 10 0 0 cm BT /R32 9.96260 Tf 1 0 0 1 499.80500 476.61100 Tm (20) Tj ET Q 0 g q 10 0 0 10 0 0 cm BT /R32 9.96260 Tf 1 0 0 1 509.76700 476.61100 Tm [ (\135\056) -404.99100 (In) -281.99200 (this) ] TJ -200.90500 -11.95470 Td [ (case\054) -226.00600 (nuclear) -220.00300 (norm) -219.98300 (minimization) -220.01200 (is) -219.98800 (re) 15.00730 (g) 4.98446 (arded) -220.98300 (as) -220.00300 (the) -219.99300 (standard) ] TJ 11.95510 TL T* [ (approach) -257.01100 (because) -257.99900 (strict) -256.99600 (rank) -257.99600 (minimizati) 1 (on) -257.98600 (is) -257.00100 (NP\055hard) -258.02100 (\133) ] TJ ET Q 0 1 0 rg q 10 0 0 10 0 0 cm BT /R32 9.96260 Tf 1 0 0 1 529.34500 452.70100 Tm (11) Tj ET Q 0 g q 10 0 0 10 0 0 cm BT /R32 9.96260 Tf 1 0 0 1 539.30700 452.70100 Tm (\135\054) Tj -230.44500 -11.95510 Td [ (and) -196.98200 (a) -196.99200 (nuclear) -198.00600 (norm) -197.00600 (relax) 15.01710 (es) -196.98700 (the) -197.01600 (NP\055hard) -197.01100 (problem) -197.00100 (to) -197.01600 (a) -198.01100 (con) 39.99820 (v) 14.98280 (e) 15.01220 (x) ] TJ 11.95510 TL T* [ (optimization) -250.01700 (problem) -250.01000 (\133) ] TJ ET Q 0 1 0 rg q 10 0 0 10 0 0 cm BT /R32 9.96260 Tf 1 0 0 1 400.73800 428.79100 Tm (26) Tj ET Q 0 g q 10 0 0 10 0 0 cm BT /R32 9.96260 Tf 1 0 0 1 410.70000 428.79100 Tm (\135\056) Tj -89.88280 -12.50080 Td [ (V) 59.99240 (isual) -355.01700 (data) -356.01700 (re) 1.01209 (trie) 24.98360 (v) 24.98110 (al) -356.01700 (is) -354.98500 (another) -354.99000 (application) -355.00400 (of) -356.01900 (lo) 24.98600 (w\055rank) ] TJ -11.95510 -11.95510 Td [ (based) -550.99900 (completion\056) -1213.99000 (Ho) 24.98360 (we) 25.01540 (v) 14.98280 (er) 39.98350 (\054) -626.00800 (it) -550.99100 (typically) -551.99100 (requires) -550.99600 (ma\055) ] TJ 11.95510 TL T* [ (trix) -308.99000 (and) -309.98300 (tensor) -308.99300 (completion) -309.00200 (frame) 25.01050 (w) 10.00320 (orks) -310.01200 (in) -308.99700 (a) -309.01200 (noisy) -309.99700 (scenario) ] TJ 11.95590 TL (\133) ' ET Q 0 1 0 rg q 10 0 0 10 0 0 cm BT /R32 9.96260 Tf 1 0 0 1 312.18000 380.42400 Tm (17) Tj ET Q 0 g q 10 0 0 10 0 0 cm BT /R32 9.96260 Tf 1 0 0 1 322.14200 380.42400 Tm (\054) Tj ET Q 0 1 0 rg q 10 0 0 10 0 0 cm BT /R32 9.96260 Tf 1 0 0 1 327.33300 380.42400 Tm (5) Tj ET Q 0 g q 10 0 0 10 0 0 cm BT /R32 9.96260 Tf 1 0 0 1 332.31400 380.42400 Tm (\054) Tj ET Q 0 1 0 rg q 10 0 0 10 0 0 cm BT /R32 9.96260 Tf 1 0 0 1 337.51400 380.42400 Tm (15) Tj ET Q 0 g q 10 0 0 10 0 0 cm BT /R32 9.96260 Tf 1 0 0 1 347.47700 380.42400 Tm [ (\135\054) -277.01300 (and) -271.00900 (using) -272.00400 (only) -270.98900 (lo) 24.98600 (w\055rank) -271.99400 (priors) -270.99900 (may) -271.97900 (not) -270.99400 (be) -271.99400 (suf\055) ] TJ -38.61480 -11.95510 Td [ <026369656e742e> -569.99600 (In) -335.98100 (this) -337.01700 (study) 64.99900 (\054) -358.01600 (we) -337.00300 (address) -336.99300 (the) -336.01300 (challenging) -337.00700 (problem) ] TJ 11.95510 TL T* [ (of) -317.00300 (simultaneous) -316.00900 (matrix) -316.98100 (and) -315.98200 (tensor) -316.99100 (completion) -315.98200 (and) -317.00100 (denois\055) ] TJ T* [ (ing\056) -302.98900 (Lo) 24.98600 (w\055rank) -229.99800 (ba) 0.98023 (sed) -229.99300 (matrix) -228.99600 (completion) -229.99600 (in) -229.01100 (a) -228.98600 (noisy) -230.01100 (scenario\054) ] TJ T* [ (which) -338.98800 (minimizes) -338.99200 (a) -339.00700 (matrix) -339.01700 (nuclear) -339.00200 (norm) -338.98300 (under) -338.99200 (a) -339.00700 (noise) -338.98300 (in\055) ] TJ T* [ (equality) -212.01600 (constraint\054) -218.98800 (has) -211.99600 (been) -212.00400 (discussed) -210.99400 (in) -211.99400 (\133) ] TJ ET Q 0 1 0 rg q 10 0 0 10 0 0 cm BT /R32 9.96260 Tf 1 0 0 1 476.82100 320.64900 Tm (5) Tj ET Q 0 g q 10 0 0 10 0 0 cm BT /R32 9.96260 Tf 1 0 0 1 481.80300 320.64900 Tm [ (\135\056) -297.00900 (Ho) 24.98600 (we) 25.01540 (v) 14.98280 (er) 39.98350 (\054) -219.99800 (this) ] TJ -172.94100 -11.95590 Td [ (algorithm) -394.01000 (in) 40.00560 (v) 20.00160 (olv) 14.99500 (es) -394.01000 (solving) -394.01300 (con) 39.99820 (v) 14.98280 (e) 15.01220 (x) -394.00800 (optimization) -393.99300 (problems) ] TJ 11.95510 TL T* [ (multiple) -227.01400 (times) -228.01100 (to) -227.00900 (tune) -227.98900 (a) -226.98700 (h) 4.98446 (yperparameter) 55.01530 (\056) -303.00300 (The) -227.01600 (follo) 24.99580 (wing) -227.98200 (tw) 10.00810 (o) ] TJ T* [ (critical) -340.99000 (issues) -339.99500 (e) 15.01220 (xist\072) -490.98400 (\0501\051) -341.00400 (Solving) -340.99200 (an) -339.98200 (optimization) -340.98200 (problem\054) ] TJ T* [ (which) -312.01200 (includes) -313.01900 (a) -311.99200 (noise) -312.98700 (inequality) -311.98700 (constraint\054) -327.98900 (using) -313.01600 (con) 39.99820 (v) 14.98280 (e) 15.01220 (x) ] TJ T* [ (optimization) -312.98700 (only) -314.00400 (once) 0.98268 (\056) -499.99300 (\0502\051) -313.98700 (De) 25.01540 (v) 14.98280 (eloping) -313.01600 (a) -313.01200 (rob) 20.00160 (ust) -312.98700 (model) -314.00200 (of) ] TJ 11.95630 TL T* [ (matrix\057tensor) -249.99000 (completion) -249.99300 (in) -249.98800 (a) -250.00200 (noisy) -250.00700 (scenario\056) ] TJ 11.95510 -12.50000 Td [ (T) 79.99160 (o) -287.98600 (resolv) 14.99260 (e) -287.99600 (issue) -288.01100 (\0501\051\054) -297.00900 (in) -288.02100 (this) -288.00600 (study) 64.99900 (\054) -297.98500 (we) -287.99100 (propose) -288.01100 (a) -287.99600 (primal\055) ] TJ -11.95510 -11.95470 Td [ (dual) -316.01300 (splitting) -316.00900 (\050PDS\051) -316.98100 (algorithm) -315.98600 (\133) ] TJ ET Q 0 1 0 rg q 10 0 0 10 0 0 cm BT /R32 9.96260 Tf 1 0 0 1 438.25600 224.46300 Tm (9) Tj ET Q 0 g q 10 0 0 10 0 0 cm BT /R32 9.96260 Tf 1 0 0 1 443.23800 224.46300 Tm [ (\135) -315.99100 (for) -315.98600 (problems) -317.01100 (consisting) ] TJ -134.37500 -11.95510 Td [ (of) -309.00500 (proximable) -309.01200 (functions) -309.01500 (and) -309.00200 (constraints\056) -487.99700 (F) 14.99260 (or) -309.00700 (this) -308.98300 (purpose\054) ] TJ 11.95630 TL T* [ (we) -398.99500 (deri) 24.98110 (v) 14.98280 (e) -398.99700 (that) -399.01700 (the) -398.98500 (proximal) -398.99700 (mapping) -398.99700 (of) -398.99200 (a) -398.99700 (noise) -399.01200 (inequal\055) ] TJ 11.95470 TL T* [ (ity) -383.01500 (constraint\054) -416.99400 (which) -384 (is) -382.98300 (not) -383.99500 (tri) 24.98600 (vial\054) -415.98900 (can) -384.01900 (be) -382.99500 (obtained) -383.99000 (using) ] TJ T* [ (analytical) -282.00900 (calculation\056) -405.00100 (Furthermore\054) -289.99600 (to) -282.02200 (impro) 15.00240 (v) 14.98280 (e) -281.99700 (the) -281.98200 (rob) 20.00160 (ust\055) ] TJ T* [ (ness) -336.99000 (ag) 5.01877 (ainst) -336.98100 (noise) -338.00200 (\050issue) -336.98500 (\0502\051\051\054) -358.99900 (we) -337.00300 (introduce) -337.01700 (total) -337.99800 (v) 24.98110 (ariation) ] TJ T* [ (\050TV\051) -398.01200 (re) 15.00980 (gularization) -399 (for) -398.99500 (a) -398.01700 (tensor) -399.01700 (while) -397.99200 (considering) -398.99700 (tensor) ] TJ T* [ (nuclear) -351 (norm) -350.98100 (minimization\056) -613.98600 (The) -350.99500 (proposed) -351.01500 <0365> 14.98770 (xible) -352 (model) ] TJ 11.95590 TL T* [ (can) -388.01600 (include) -387.99400 (lo) 24.98850 (w\055rank) -388.01100 (e) 15.01220 (xact\057ine) 14.99750 (xact) -388.98900 (matrix\057tensor) -388.00400 (comple\055) ] TJ 11.95510 TL T* [ (tion) -320 (with\057without) -319.99600 (TV) -318.99800 (re) 15.00980 (gularization\056) -519.99700 (In) -319.98600 (practice\054) -337.00300 (there) -319.98600 (are) ] TJ T* [ (se) 25.01790 (v) 14.98280 (eral) -258.98100 (types) -260.01500 (of) -259.01300 (visual) -258.98900 (data) -259.99100 (such) -259.00600 (as) -259.99600 (lo) 24.98600 (w\055rank) -259.01600 (oriented\054) -262.01500 (lo) 24.98600 (w\055) ] TJ T* [ (TV) -271.00600 (oriented\054) -276.01300 (and) -271.00900 (intermediate\056) -371.98200 (As) -271.00400 (the) -271.00400 (proposed) -270.98900 (model) -270.98900 (can) ] TJ T* [ (adjust) -308.98000 (the) -309 (weights) -309.01700 (of) -309.00500 (lo) 24.98850 (w\055rank) -309.00700 (and) -309.00200 (lo) 24.98600 (w\055TV) -309.00200 (priors\054) -324.00500 (v) 24.98110 (arious) ] TJ -13.74100 -29.88830 Td (1) Tj ET Q Q Q q q 1 1 1 rg /a0 gs 48.40600 786.42200 515.18800 -52.69900 re f q /s5 gs /x6 Do Q q /s7 gs /x8 Do Q q /s9 gs /x10 Do Q q /s11 gs /x12 Do Q Q Q Q q 1 0 0 1 0 0 cm BT /F1 12 Tf 14.40000 TL ET 1 1 1 rg n 270 47 72 14 re f* 0.50000 0.50000 0.50000 rg BT /F2 9 Tf 10.80000 TL ET BT 1 0 0 1 297 50 Tm (3732) Tj T* ET Q endstream endobj 14 0 obj << /Filter /FlateDecode /Resources << /ExtGState << /a0 << /CA 1 /ca 1 >> >> /XObject << /x18 15 0 R >> >> /Length 28 /Group << /Type /Group /S /Transparency /CS /DeviceRGB /I true >> /BBox [ 78 746 96 765 ] /Type /XObject /Subtype /Form >> stream x+O4PH/VЯ0Pp 0 endstream endobj 15 0 obj << /Filter /FlateDecode /Resources 16 0 R /Length 107 /Type /XObject /BBox [ 78 746 96 765 ] /Subtype /Form >> stream xe AC̬wʠ =p,?]%+H-
Jc "82w8VSnGW;"
endstream
endobj
16 0 obj
<<
/ExtGState <<
/a0 <<
/CA 1
/ca 1
>>
>>
>>
endobj
17 0 obj
<<
/Filter /FlateDecode
/Resources <<
/ExtGState <<
/a0 <<
/CA 1
/ca 1
>>
>>
/XObject <<
/x15 18 0 R
>>
>>
/Length 28
/Group <<
/Type /Group
/S /Transparency
/CS /DeviceRGB
/I true
>>
/BBox [ 67 752 84 775 ]
/Type /XObject
/Subtype /Form
>>
stream
x+O4PH/VЯ04Up
0
endstream
endobj
18 0 obj
<<
/Filter /FlateDecode
/Resources 19 0 R
/Length 228
/Type /XObject
/BBox [ 67 752 84 775 ]
/Subtype /Form
>>
stream
xeQKn!s ?FPav6R٪TS.
b];15YyR
{7QL.\:Rv/x9l+L7h%1!}i/AI(kz"U&,YO![R hg{3}4/GyYF:!w}Gn+'xJcO9i뽼_-:`
endstream
endobj
19 0 obj
<<
/ExtGState <<
/a0 <<
/CA 1
/ca 1
>>
>>
>>
endobj
20 0 obj
<<
/Filter /FlateDecode
/Resources <<
/ExtGState <<
/a0 <<
/CA 1
/ca 1
>>
>>
/XObject <<
/x24 21 0 R
>>
>>
/Length 28
/Group <<
/Type /Group
/S /Transparency
/CS /DeviceRGB
/I true
>>
/BBox [ 132 751 480 772 ]
/Type /XObject
/Subtype /Form
>>
stream
x+O4PH/VЯ02Qp
0
endstream
endobj
21 0 obj
<<
/Filter /FlateDecode
/Resources 22 0 R
/Length 53223
/Type /XObject
/BBox [ 132 751 480 772 ]
/Subtype /Form
>>
stream
xtI:6%Q㨈?7rA= u%6 ?Y(WbWo{B>9
x`Znϳ|8{3?0x*z ǃ|,@:w>`c|*ϻⳅKO3`g
:_|}}><.6`Z{{3]#<_o"~:ͺgk7/Ұ@|K yp ]03ʷCmş8˽Y?>(3!Bwqs.Z8,~~=rMT̩y+/*w: uBZ_`ߵp`%M?ɝ1ɳw=vDۉy&xb4Q>d@ sg~lA