%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 (Structured Uncertainty Prediction Networks) /Producer (PyPDF2) /Author (Garoe Dorta\054 Sara Vicente\054 Lourdes Agapito\054 Neill D\056 F\056 Campbell\054 Ivor Simpson) /Subject (2018 IEEE Conference on Computer Vision and Pattern Recognition) >> endobj 3 0 obj << /Parent 1 0 R /Rotate 0 /Contents 13 0 R /Resources << /XObject << /x8 14 0 R /x6 17 0 R /R41 20 0 R /R40 22 0 R /R38 23 0 R /R39 24 0 R /R36 25 0 R /R37 26 0 R /R35 21 0 R /x12 27 0 R /x10 30 0 R >> /ExtGState << /s9 33 0 R /s11 36 0 R /R17 39 0 R /a0 << /CA 1 /ca 1 >> /s5 40 0 R /s7 43 0 R >> /Font << /F2 46 0 R /R28 47 0 R /F1 51 0 R /R18 52 0 R /R20 55 0 R /R22 59 0 R /R32 62 0 R /R24 66 0 R /R30 70 0 R /R26 73 0 R >> /ProcSet [ /Text /ImageC /ImageB /PDF /ImageI ] >> /Group 76 0 R /MediaBox [ 0 0 612 792 ] /Annots [ 77 0 R 78 0 R 79 0 R 80 0 R 81 0 R 82 0 R 83 0 R 84 0 R ] /Type /Page >> endobj 4 0 obj << /Parent 1 0 R /Rotate 0 /Type /Page /Contents 85 0 R /Resources << /ExtGState << /R17 39 0 R >> /Font << /R78 86 0 R /R72 90 0 R /R76 94 0 R /R74 98 0 R /F2 102 0 R /F1 103 0 R /R20 55 0 R /R18 52 0 R /R82 104 0 R /R80 108 0 R /R86 112 0 R /R84 115 0 R >> /ProcSet [ /ImageC /Text /PDF /ImageI /ImageB ] >> /MediaBox [ 0 0 612 792 ] /Annots [ 120 0 R 121 0 R 122 0 R 123 0 R 124 0 R 125 0 R 126 0 R 127 0 R 128 0 R 129 0 R 130 0 R 131 0 R 132 0 R 133 0 R 134 0 R 135 0 R 136 0 R 137 0 R 138 0 R 139 0 R 140 0 R 141 0 R 142 0 R ] >> endobj 5 0 obj << /Parent 1 0 R /Rotate 0 /Type /Page /Contents 143 0 R /Resources << /ExtGState << /R17 39 0 R >> /Font << /R78 86 0 R /R72 90 0 R /R103 144 0 R /R101 148 0 R /R76 94 0 R /R74 98 0 R /F2 151 0 R /R99 152 0 R /F1 155 0 R /R20 55 0 R /R18 52 0 R /R82 104 0 R /R80 108 0 R /R32 62 0 R /R86 112 0 R /R84 115 0 R >> /ProcSet [ /ImageC /Text /PDF /ImageI /ImageB ] >> /MediaBox [ 0 0 612 792 ] /Annots [ 156 0 R 157 0 R 158 0 R 159 0 R 160 0 R 161 0 R ] >> endobj 6 0 obj << /Parent 1 0 R /Rotate 0 /Contents 162 0 R /Resources << /XObject << /R125 163 0 R /R119 165 0 R /R123 166 0 R /R122 167 0 R /R121 168 0 R /R120 169 0 R /R124 164 0 R >> /ExtGState << /R17 39 0 R >> /Font << /R78 86 0 R /R72 90 0 R /R74 98 0 R /F2 170 0 R /R101 148 0 R /F1 171 0 R /R18 52 0 R /R20 55 0 R /R80 108 0 R /R86 112 0 R /R84 115 0 R >> /ProcSet [ /Text /ImageC /ImageB /PDF /ImageI ] >> /Group 76 0 R /MediaBox [ 0 0 612 792 ] /Annots [ 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 ] /Type /Page >> endobj 7 0 obj << /Parent 1 0 R /Rotate 0 /Contents 181 0 R /Resources << /XObject << /R156 182 0 R /R157 184 0 R /R161 185 0 R /R160 186 0 R /R152 183 0 R /R153 187 0 R /R150 188 0 R /R151 190 0 R /R149 191 0 R /R154 192 0 R /R158 193 0 R /R159 194 0 R /R155 195 0 R /R148 196 0 R /R147 189 0 R >> /ExtGState << /R17 39 0 R >> /Font << /R78 86 0 R /R72 90 0 R /R74 98 0 R /F2 197 0 R /R99 152 0 R /F1 198 0 R /R137 199 0 R /R82 104 0 R /R80 108 0 R /R84 115 0 R /R145 202 0 R /R141 205 0 R /R143 209 0 R /R28 47 0 R /R18 52 0 R /R20 55 0 R /R139 213 0 R /R26 73 0 R >> /ProcSet [ /Text /ImageC /ImageB /PDF /ImageI ] >> /Group 76 0 R /MediaBox [ 0 0 612 792 ] /Annots [ 216 0 R 217 0 R 218 0 R 219 0 R 220 0 R ] /Type /Page >> endobj 8 0 obj << /Parent 1 0 R /Rotate 0 /Contents 221 0 R /Resources << /XObject << /R181 222 0 R /R180 223 0 R /R183 224 0 R /R182 225 0 R /R185 226 0 R /R184 227 0 R /R187 228 0 R /R186 229 0 R /R189 230 0 R /R188 231 0 R /R198 232 0 R /R199 233 0 R /R190 234 0 R /R191 235 0 R /R196 236 0 R /R193 237 0 R /R197 238 0 R /R178 239 0 R /R179 241 0 R /R175 240 0 R /R176 242 0 R /R195 243 0 R /R194 244 0 R /R177 245 0 R /R35 21 0 R /R192 246 0 R >> /ExtGState << /R17 39 0 R >> /Font << /F2 247 0 R /R72 90 0 R /R78 86 0 R /F1 248 0 R /R18 52 0 R /R20 55 0 R /R80 108 0 R /R74 98 0 R /R84 115 0 R >> /ProcSet [ /Text /ImageC /ImageB /PDF /ImageI ] >> /Group 76 0 R /MediaBox [ 0 0 612 792 ] /Annots [ 249 0 R 250 0 R 251 0 R 252 0 R 253 0 R 254 0 R 255 0 R ] /Type /Page >> endobj 9 0 obj << /Parent 1 0 R /Rotate 0 /Contents 256 0 R /Resources << /XObject << /R228 257 0 R /R229 258 0 R /R215 259 0 R /R214 260 0 R /R217 261 0 R /R216 262 0 R /R220 263 0 R /R221 264 0 R /R222 265 0 R /R223 266 0 R /R224 267 0 R /R225 268 0 R /R226 269 0 R /R227 270 0 R /R219 271 0 R /R218 272 0 R /R35 21 0 R >> /ExtGState << /R17 39 0 R >> /Font << /R78 86 0 R /R72 90 0 R /R74 98 0 R /F2 273 0 R /R99 152 0 R /F1 274 0 R /R18 52 0 R /R20 55 0 R /R80 108 0 R /R32 62 0 R /R84 115 0 R >> /ProcSet [ /Text /ImageC /ImageB /PDF /ImageI ] >> /Group 76 0 R /MediaBox [ 0 0 612 792 ] /Annots [ 275 0 R 276 0 R 277 0 R 278 0 R 279 0 R 280 0 R 281 0 R 282 0 R ] /Type /Page >> endobj 10 0 obj << /Parent 1 0 R /Rotate 0 /Type /Page /Contents 283 0 R /Resources << /XObject << /R264 284 0 R /R265 285 0 R /R266 286 0 R /R267 287 0 R /R260 288 0 R /R261 289 0 R /R262 290 0 R /R263 291 0 R /R268 292 0 R /R269 293 0 R /R255 294 0 R /R248 295 0 R /R249 296 0 R /R246 297 0 R /R247 298 0 R /R244 299 0 R /R245 300 0 R /R242 301 0 R /R257 302 0 R /R240 303 0 R /R241 304 0 R /R256 305 0 R /R282 306 0 R /R283 307 0 R /R280 308 0 R /R281 309 0 R /R250 310 0 R /R253 311 0 R /R252 312 0 R /R239 313 0 R /R279 314 0 R /R278 315 0 R /R259 316 0 R /R258 317 0 R /R273 318 0 R /R272 319 0 R /R271 320 0 R /R270 321 0 R /R251 322 0 R /R276 323 0 R /R275 324 0 R /R274 325 0 R /R35 21 0 R /R277 326 0 R /R254 327 0 R /R243 328 0 R >> /ExtGState << /R17 39 0 R >> /Font << /R78 86 0 R /R72 90 0 R /R235 329 0 R /R76 94 0 R /R74 98 0 R /F2 332 0 R /R237 333 0 R /F1 337 0 R /R82 104 0 R /R20 55 0 R /R80 108 0 R /R86 112 0 R /R84 115 0 R >> /ProcSet [ /Text /ImageC /ImageB /PDF /ImageI ] >> /Group 76 0 R /MediaBox [ 0 0 612 792 ] /Annots [ ] >> endobj 11 0 obj << /Parent 1 0 R /Rotate 0 /Type /Page /Contents 338 0 R /Resources << /ExtGState << /R17 39 0 R >> /Font << /R18 52 0 R /R20 55 0 R /F1 339 0 R /R32 62 0 R /F2 340 0 R >> /ProcSet [ /ImageC /Text /PDF /ImageI /ImageB ] >> /MediaBox [ 0 0 612 792 ] /Annots [ 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 362 0 R 363 0 R 364 0 R 365 0 R 366 0 R 367 0 R 368 0 R 369 0 R 370 0 R ] >> endobj 12 0 obj << /Type /Catalog /Pages 1 0 R >> endobj 13 0 obj << /Length 16647 >> stream q q q 0.1 0 0 0.1 0 0 cm /R17 gs 0 g q 10 0 0 10 0 0 cm BT /R18 14.3462 Tf 1 0 0 1 161.081 675.067 Tm [ (Structur) 18.0116 (ed) -250.005 (Uncertainty) -250.005 (Pr) 18.0048 (ediction) -250.002 (Netw) 9.99455 (orks) ] TJ /R20 11.9552 Tf -95.4297 -37.8582 Td [ (Garoe) -249.996 (Dorta) ] TJ /R22 7.9701 Tf 61.4098 4.33906 Td [ (1) -0.29866 ] TJ /R24 7.9701 Tf 4.23398 0 Td [ (\073) -0.09955 ] TJ /R22 7.9701 Tf 2.35312 0 Td [ (2) -0.29866 ] TJ /R20 11.9552 Tf 19.6758 -4.33906 Td [ (Sara) -250.002 (V) 59.9906 (icente) ] TJ /R22 7.9701 Tf 62.6883 4.33906 Td [ (2) -0.30019 ] TJ /R20 11.9552 Tf 19.677 -4.33906 Td [ (Lourdes) -250.002 (Ag) 4.98892 (apito) ] TJ /R22 7.9701 Tf 82.618 4.33906 Td [ (3) -0.30019 ] TJ /R20 11.9552 Tf 19.6758 -4.33906 Td [ (Neill) -250.002 (D\056) -166.985 (F) 80.0045 (\056) -250.012 (Campbell) ] TJ /R22 7.9701 Tf 100.666 4.33906 Td [ (1) -0.30019 ] TJ /R20 11.9552 Tf 19.6773 -4.33906 Td [ (Iv) 20.0047 (or) -250.014 (Simpson) ] TJ /R22 7.9701 Tf 66.5137 4.33906 Td [ (2) -0.30019 ] TJ -438.418 -13.948 Td [ (1) -0.30019 ] TJ /R20 11.9552 Tf 4.7332 -4.33789 Td [ (Uni) 24.9946 (v) 14.9862 (ersity) -249.989 (of) -250.015 (Bath) ] TJ /R22 7.9701 Tf 115.414 4.33789 Td [ (2) -0.30019 ] TJ /R20 11.9552 Tf 4.73203 -4.33789 Td [ (Anthropics) -249.989 (T) 70.0164 (echnology) -249.997 (Ltd\056) ] TJ /R22 7.9701 Tf 162.59 4.33789 Td [ (3) -0.30019 ] TJ /R20 11.9552 Tf 4.73203 -4.33789 Td [ (Uni) 24.9957 (v) 14.9851 (ersity) -249.989 (Colle) 14.9892 (ge) -250.01 (London) ] TJ /R26 5.9776 Tf -319.715 -10.1391 Td [ (1) -0.10006 ] TJ /R28 8.9664 Tf 4.15117 -3.80898 Td [ (f) -0.8999 ] TJ /R30 8.9664 Tf 4.60703 0 Td (g\056dorta\056perez\054n\056campbell) Tj /R28 8.9664 Tf 129.116 0 Td [ (g) -0.8999 ] TJ /R30 8.9664 Tf 4.60781 0 Td (\100bath\056ac\056uk) Tj /R26 5.9776 Tf 64.557 3.80898 Td [ (2) -0.09802 ] TJ /R28 8.9664 Tf 4.15117 -3.80898 Td [ (f) -0.90126 ] TJ /R30 8.9664 Tf 4.60781 0 Td (sara\054ivor) Tj /R28 8.9664 Tf 48.4191 0 Td [ (g) -0.90126 ] TJ /R30 8.9664 Tf 4.60703 0 Td (\100anthropics\056com) Tj /R26 5.9776 Tf 86.077 3.80898 Td [ (3) -0.10619 ] TJ /R30 8.9664 Tf 4.15117 -3.80898 Td (l\056agapito\100cs\056ucl\056ac\056uk) Tj /R18 11.9552 Tf -271.965 -41.0461 Td (Abstract) Tj /R32 9.9626 Tf -83.9281 -24.209 Td [ (This) -266.982 (paper) -266.997 (is) -267 (the) -267.987 <0272> 10.0094 (st) -267 (work) -266.995 (to) -267.002 (pr) 44.9839 (opose) -266.997 (a) -267.009 (network) -268.007 (to) -267.002 (pr) 36.9865 (e\055) ] TJ -11.9547 -11.9551 Td [ (dict) -316.01 (a) -317.001 (structur) 37.0122 (ed) -315.985 (uncertainty) -317.011 (distrib) 20.0016 (ution) -315.996 (for) -316.009 (a) -317.001 (synthesized) ] TJ 11.9551 TL T* [ (ima) 10.0136 (g) 10.0032 (e) 15.0128 (\056) -707.997 (Pr) 36.984 (e) 15.0128 (vious) -381.996 (appr) 44.9937 (oac) 14.984 (hes) -382.988 (have) -382.013 (been) -382.992 (mostly) -381.99 (limited) -383.002 (to) ] TJ T* [ (pr) 36.9852 (edicting) -357.991 (dia) 10.0155 (gonal) -357.012 (co) 10 (variance) -358.004 (matrices) -357.994 (\133) ] TJ ET Q 0 1 0 rg q 10 0 0 10 0 0 cm BT /R32 9.9626 Tf 1 0 0 1 222.634 508.194 Tm (15) Tj ET Q 0 g q 10 0 0 10 0 0 cm BT /R32 9.9626 Tf 1 0 0 1 232.597 508.194 Tm [ (\135\056) -632.983 (Our) -358.004 (no) 10.0081 (vel) ] TJ -182.485 -11.9551 Td [ (model) -316.99 (learns) -318 (to) -316.994 (pr) 36.9852 (edict) -318.014 (a) -317.001 (full) -317.998 (Gaussian) -317.003 (co) 9.99833 (variance) -318.011 (matrix) ] TJ 11.9563 TL T* [ (for) -399.993 (eac) 15.0134 (h) -400.007 (r) 37.0196 (econstruction\054) -437.997 (whic) 14.9987 (h) -400.007 (permits) -401.002 (ef) 18 <026369> 0.98758 (ent) -400.985 (sampling) ] TJ 11.9547 TL T* [ (and) -249.982 (lik) 10.0081 (elihood) -250.006 (e) 15.0122 (valuation\056) ] TJ 11.9547 -12.2531 Td [ (W) 91.9865 (e) -398.016 (demonstr) 15.011 (ate) -398.005 (that) -399.007 (our) -397.996 (model) -397.996 (can) -398.007 (accur) 14.9852 (ately) -398.982 (r) 37.0183 (econ\055) ] TJ -11.9547 -11.9551 Td [ (struct) -200.998 (gr) 44.9839 (ound) -201.006 (truth) -200.995 (corr) 36.9865 (elated) -201.009 (r) 37.0196 (esidual) -200.995 (distrib) 20.0016 (utions) -200.991 (for) -201.008 (syn\055) ] TJ T* [ (thetic) -278.014 (datasets) -277.995 (and) -276.998 (g) 10.0032 (ener) 15.0196 (ate) -277.985 (plausible) -277.989 (high) -278.01 (fr) 36.9865 (equency) -277.995 (sam\055) ] TJ 11.9559 TL T* [ (ples) -249.003 (for) -248.019 (r) 37.0196 (eal) -249.009 (face) -247.994 (ima) 10.013 (g) 10.0032 (es\056) -309.984 (W) 91.9859 (e) -248.983 (also) -248.014 (illustr) 14.9852 (ate) -249.01 (the) -247.99 (use) -249.01 (of) -249.005 (these) ] TJ 11.9551 TL T* [ (pr) 36.9852 (edicted) -411.998 (co) 9.99894 (variances) -411.009 (for) -411.991 (structur) 37.0122 (e) -410.995 (pr) 36.9865 (eserving) -411.993 (ima) 10.013 (g) 10.0032 (e) -412.015 (de\055) ] TJ T* [ (noising) 15.0183 (\056) ] TJ /R18 11.9552 Tf 36.7602 TL T* [ (1\056) -249.99 (Intr) 18.0146 (oduction) ] TJ /R20 9.9626 Tf 11.9547 -19.227 Td [ (Deep) -339.983 (probabilistic) -340.011 (generati) 24.9848 (v) 14.9828 (e) -339.007 (models) -339.99 (ha) 19.9967 (v) 14.9828 (e) -339.987 (recently) -340.014 (be\055) ] TJ -11.9547 -11.9551 Td [ (come) -241.01 (the) -241.991 (most) -240.988 (popular) -240.999 (tool) -242.014 (to) -241.006 (synthesize) -242.009 (no) 14.9877 (v) 14.9828 (el) -241.016 (data) -241.016 (and) -241.994 (re\055) ] TJ 11.9551 TL T* [ (construct) -272.01 (unseen) -271.982 (e) 15.0122 (xamples) -270.987 (from) -271.983 (tar) 17.997 (get) -271.986 (image) -272.018 (distrib) 19.9918 (utions\056) ] TJ 11.9559 TL T* [ (At) -308.997 (their) -310.015 (heart) -309.007 (lies) -310.011 (a) -309.012 (density) -309.996 (estimation) -308.997 (problem\054) -323.995 (which) -310.012 (for) ] TJ 11.9551 TL T* [ (reconstruction) -331.01 (models) -331.012 (is) -330.99 (commonly) -330.995 (solv) 15 (ed) -331.004 (using) -331.013 (a) -331.008 (f) 9.99588 (actor) 19.9967 (\055) ] TJ T* [ (ized) -227.017 (Gaussian) -226.998 (lik) 10.0179 (elihood\056) -301.995 (While) -227.005 (attracti) 24.9885 (v) 14.9828 (e) -226.987 (for) -226.984 (its) -227.001 (simplicity) 64.9892 (\054) ] TJ T* [ (this) -389.007 (f) 9.99527 (actorized) -390.01 (Gaussian) -389.01 (assumption) -389.999 (comes) -389.018 (at) -390.011 (the) -388.987 (cost) -389.999 (of) ] TJ T* [ (o) 14.9828 (v) 14.9828 (erly\055smoothed) -305.984 (predictions\054) -319.007 (as) -305.987 (sho) 24.9922 (wn) -306.02 (in) -306.015 (Fig\056) ] TJ ET Q 1 0 0 rg q 10 0 0 10 0 0 cm BT /R20 9.9626 Tf 1 0 0 1 240.109 260.626 Tm (1d) Tj ET Q 0 g q 10 0 0 10 0 0 cm BT /R20 9.9626 Tf 1 0 0 1 250.072 260.626 Tm [ (\056) -477.016 (In) -305.986 (con\055) ] TJ -199.96 -11.9559 Td [ (trast\054) -334.007 (this) -316.98 (paper) -317.008 (introduces) -317.997 (the) -316.999 <02727374> -316.981 (attempt) -317.016 (to) -316.994 (train) -316.994 (a) -317.991 (deep) ] TJ 11.9551 TL T* [ (neural) -324.019 (netw) 10.0087 (ork) -324.017 (to) -324.992 (predict) -324.012 (full) -324.008 (structured) -324.005 (co) 15.0171 (v) 24.9811 (ariance) -325.012 (matri\055) ] TJ T* [ (ces) -291.993 (to) -290.998 (model) -292.005 (the) -291.983 (residual) -292.011 (distrib) 19.9918 (utions) -291.014 (of) -291.988 (unseen) -292.017 (image) -292.015 (re\055) ] TJ T* [ (constructions\056) -759 (W) 79.9879 (e) -400.017 (postulate) -400.017 (that) -399.017 (the) -400.004 (residuals) -399.987 (are) -399.985 (highly) ] TJ T* [ (structured) -401.991 (and) -402.005 <726503656374> -402.006 (limitations) -401.983 (in) -402 (model) -401.987 (capacity) -402.984 (\226) -402.006 (we) ] TJ T* [ (therefore) -230.987 (propose) -231.002 (to) -231.008 (estimate) -230.993 (the) -231.013 (reconstruction) -230.986 (uncertainty) ] TJ 11.9563 TL T* [ (using) -397.004 (a) -396.997 (structured) -397.011 (Gaussian) -397.009 (model\054) -434.018 (to) -397.02 (capture) -396.993 (pix) 14.995 (el\055wise) ] TJ 11.9551 TL T* [ (correlations) -274.009 (which) -274.017 (will) -274.008 (in) -273.981 (turn) -274.019 (impro) 15.0036 (v) 14.9828 (e) -273.998 (the) -273.986 (sampled) -274.006 (recon\055) ] TJ T* [ (structions\054) -249.993 (as) -249.996 (sho) 24.9922 (wn) -249.99 (in) -249.985 (Fig\056) ] TJ ET Q 1 0 0 rg q 10 0 0 10 0 0 cm BT /R20 9.9626 Tf 1 0 0 1 161.394 153.029 Tm (1c) Tj ET Q 0 g q 10 0 0 10 0 0 cm BT /R20 9.9626 Tf 1 0 0 1 173.289 153.029 Tm (and) Tj ET Q 1 0 0 rg q 10 0 0 10 0 0 cm BT /R20 9.9626 Tf 1 0 0 1 190.166 153.029 Tm (1f) Tj ET Q 0 g q 10 0 0 10 0 0 cm BT /R20 9.9626 Tf 1 0 0 1 198.465 153.029 Tm (\056) Tj -136.398 -12.2531 Td [ (Learning) -415.995 (in) -415.017 (generati) 24.9848 (v) 14.9828 (e) -416.014 (models) -416.018 (in) 40.0056 (v) 20.0016 (olv) 14.995 (es) -414.987 (some) -415.989 (form) -416 (of) ] TJ -11.9547 -11.9551 Td [ (density) -224.01 (estimation\054) -229.99 (where) -224.006 (the) -225.014 (model) -224.017 (parameters) -225.014 (are) -224.014 <0274746564> -224.992 (to) ] TJ 11.9559 TL T* [ (generate) -339.986 (sam) 0.99371 (ples) -340.008 (from) -340.011 (the) -338.995 (tar) 17.997 (get) -340.014 (image) -338.988 (distrib) 19.9918 (ution\056) -579.009 (This) ] TJ 11.9551 TL T* [ (paper) -253.018 (concentrates) -253.006 (on) -253.007 (methods\054) -253.997 (such) -253.004 (as) -253.014 (the) -253.009 (V) 111.004 (ariational) -252.995 (Au\055) ] TJ T* [ (toencoder) -281.981 (\050V) 134.997 (AE\051) -281.988 (\133) ] TJ ET Q 0 1 0 rg q 10 0 0 10 0 0 cm BT /R20 9.9626 Tf 1 0 0 1 124.094 92.9551 Tm (15) Tj ET Q 0 g q 10 0 0 10 0 0 cm BT /R20 9.9626 Tf 1 0 0 1 134.057 92.9551 Tm (\054) Tj ET Q 0 1 0 rg q 10 0 0 10 0 0 cm BT /R20 9.9626 Tf 1 0 0 1 139.357 92.9551 Tm (23) Tj ET Q 0 g q 10 0 0 10 0 0 cm BT /R20 9.9626 Tf 1 0 0 1 149.319 92.9551 Tm [ (\135\054) -289.992 (where) -281.996 (an) -281.991 (e) 15.0122 (xplicit) -281.997 (representation) ] TJ -99.207 -11.9551 Td [ (of) -323.003 (the) -322.997 (data) -323.001 (density) -323.013 (is) -324.011 (gi) 24.9885 (v) 14.9828 (en) -323.004 (by) -322.995 (the) -322.998 (model\054) -341.014 (ho) 24.986 (we) 25.013 (v) 14.9828 (er) -323.992 (the) -322.998 (re\055) ] TJ ET Q 0.88086 1 1 rg 3884.49 5662.75 795.871 119.551 re f 0 g q 10 0 0 10 0 0 cm BT /R20 9.9626 Tf 1 0 0 1 409.981 569.862 Tm (Diagonal) Tj ET Q 1 0.88086 1 rg 4680.35 5662.75 795.867 119.551 re f 0 g q 10 0 0 10 0 0 cm BT /R20 9.9626 Tf 1 0 0 1 478.918 569.862 Tm [ (Our) -249.993 (structured) ] TJ ET Q 0.88086 1 1 rg 3884.49 5523.27 795.871 139.48 re f 0 g q 10 0 0 10 0 0 cm BT /R20 9.9626 Tf 1 0 0 1 409.981 557.907 Tm (Gaussian) Tj ET Q 1 0.88086 1 rg 4680.35 5523.27 795.867 139.48 re f 0 g q 10 0 0 10 0 0 cm BT /R20 9.9626 Tf 1 0 0 1 489.568 557.907 Tm (Gaussian) Tj ET Q q 756.077 0 0 756.077 3108.54 4767.2 cm /R36 Do Q q 10 0 0 10 0 0 cm BT /R20 8.9664 Tf 1 0 0 1 343.679 467.057 Tm (\050a\051) Tj ET Q 0.88086 1 1 rg 3884.49 4617.76 795.871 905.508 re f q 756.077 0 0 756.077 3904.41 4767.2 cm /R37 Do Q 0 g q 10 0 0 10 0 0 cm BT /R20 8.9664 Tf 1 0 0 1 423.015 467.057 Tm (\050b\051) Tj ET Q 1 0.88086 1 rg 4680.35 4617.76 795.867 905.508 re f q 756.077 0 0 756.077 4700.28 4767.2 cm /R38 Do Q 0 g q 10 0 0 10 0 0 cm BT /R20 8.9664 Tf 1 0 0 1 502.853 467.057 Tm (\050c\051) Tj ET Q q 756.077 0 0 756.077 3108.54 3861.69 cm /R39 Do Q q 10 0 0 10 0 0 cm BT /R20 8.9664 Tf 1 0 0 1 343.428 376.505 Tm (\050d\051) Tj ET Q 0.88086 1 1 rg 3884.49 3712.25 795.871 905.512 re f q 756.077 0 0 756.077 3904.41 3861.69 cm /R40 Do Q 0 g q 10 0 0 10 0 0 cm BT /R20 8.9664 Tf 1 0 0 1 423.266 376.505 Tm (\050e\051) Tj ET Q 1 0.88086 1 rg 4680.35 3712.25 795.867 905.512 re f q 756.077 0 0 756.077 4700.28 3861.69 cm /R41 Do Q 0 g q 10 0 0 10 0 0 cm BT /R20 8.9664 Tf 1 0 0 1 503.35 376.505 Tm (\050f\051) Tj /R20 9.9626 Tf -194.488 -15.641 Td [ (Figure) -207.98 (1\072) -290.018 (Gi) 24.986 (v) 14.9828 (en) -208.005 (an) -208.985 (input) -208.014 (image) -209.009 (\050a\051\054) -216.013 (a) -208.99 (simple) -208.009 (diagonal) -209 (Gaus\055) ] TJ 11.9551 TL T* [ (sian) -378 (lik) 10.0179 (el) 0.98268 (ihood) -377.988 (model) -377.991 (learns) -376.991 (a) -377.981 (smooth) -376.996 (reconstruction) -377.981 (\050d\051\054) ] TJ T* [ (with) -209.002 (an) -208.985 (unstructured) -208.995 (residual) -209.004 (sample) -209.004 (\050b\051\056) -297.009 (When) -209.019 (\050b\051) -208.985 (is) -209.009 (added) ] TJ 11.9559 TL T* [ (to) -312.994 (\050d\051) -313.989 (it) -312.992 (generates) -313.984 (the) -313 (unrealistic) -313.997 (image) -312.992 (\050e\051\054) -329.994 (demonstrating) ] TJ 11.9551 TL T* [ (a) -277.998 (f) 9.99588 (ailure) -277.005 (to) -277.981 (capture) -277.013 (residual) -278.012 (structure\056) -391.993 (In) -277.993 (contrast\054) -284.011 (we) -277.993 (learn) ] TJ T* [ (a) -321.01 (structured) -322.005 (residual) -320.986 (model\054) -339.012 (with) -322 (residual) -320.986 (samples) -321.015 (lik) 10.0179 (e) -321.99 (\050c\051) ] TJ T* [ (that\054) -370 (when) -346.013 (added) -346.994 (to) -346.008 (\050d\051\054) -370.017 (generate) -345.986 (a) -345.986 (plausible) -347.006 (and) -346.016 (realistic) ] TJ T* [ (image) -249.983 (\050f\051\056) ] TJ 25.3809 TL T* [ (sults) -299.997 (could) -298.992 (in) -300.016 (principle) -300.004 (be) -299.989 (e) 15.0122 (xtended) -298.989 (to) -300.019 (implicit) -300.019 (approaches) ] TJ 11.9551 TL T* [ (in) -275 (future) -273.986 (w) 10 (ork\056) -384.985 (In) -273.991 (V) 135 (AE) -275.006 (models\054) -281.017 (a) -275.018 (mapping) -273.998 (is) -274.998 (learned) -275.013 (from) ] TJ T* [ (a) -279.997 (latent) -280.015 (representat) 0.98758 (ion) -280.015 (to) -280.019 (image) -280.017 (space\056) -398.992 (These) -279.988 (models) -280.002 (com\055) ] TJ T* [ (monly) -339.007 (impose) -339.99 (some) -338.983 (conditions) -338.992 (on) -338.992 (the) -340.012 (latent) -338.983 (space\054) -360.999 (in) -340.012 (the) ] TJ T* [ (form) -249.988 (of) -249.995 (a) -250.002 (prior) 40.0031 (\054) -249.995 (and) -249.993 (the) -249.99 (nature) -249.993 (of) -249.997 (the) -249.988 (residual) -250.017 (distrib) 19.9918 (ution\056) ] TJ 11.9551 -15.3809 Td [ (It) -354.995 (is) -354.987 (common) -355.004 (practice) -355 (to) -354.99 (use) -354.995 (a) -355.004 (Gaussian) -355.014 (lik) 10.0179 (elihood\054) -381 (as) ] TJ -11.9551 -11.9551 Td [ (this) -248.013 (pro) 14.9852 (vides) -248.998 (a) -248.003 (simple) -248.983 (formulation) -247.993 (for) -247.998 (maximum) -249.007 (lik) 10.0179 (elihood) ] TJ T* [ (estimation\056) -637.019 (Ho) 24.9836 (we) 25.013 (v) 14.9828 (er) 39.986 (\054) -386.992 (it) -358.984 (is) -358.984 (well) -358.984 (kno) 24.9909 (wn) -358.989 (that) -360.004 (samples) -359.009 (from) ] TJ T* [ (f) 9.99588 (actorized) -263.99 (Gaussian) -262.99 (distrib) 19.9918 (utions) -264 (tend) -263 (to) -263.985 (be) -263.995 (o) 14.9828 (v) 14.9828 (erly\055smooth\056) ] TJ T* [ (This) -258.994 (ef) 25.0081 (fect) -258.981 (is) -259.984 (pronounced) -258.991 (in) -259.006 (common) -258.981 <73696d706c6902636174696f6e73> -259.011 (of) -259.996 (the) ] TJ T* [ (lik) 10.0179 (elihood\054) -297.997 (such) -288.018 (as) -287.989 (the) -287.984 (mean) -287.981 (squared) -287.981 (error) 39.9835 (\054) -297.985 (which) -288.016 (assumes) ] TJ 11.9559 TL T* [ (the) -267.007 (errors) -265.997 (at) -267.012 (all) -267.004 (pix) 14.995 (els) -265.985 (are) -266.985 (i\056i\056d) -266.01 (\050independent) -266.985 (and) -267.009 (identically) ] TJ 11.9551 TL T* [ (distrib) 19.9918 (uted\051) -300.019 (or) -301.006 (a) -299.994 (diagonal) -300.004 (co) 15.0171 (v) 24.9811 (ariance) -299.999 (\133) ] TJ ET Q 0 1 0 rg q 10 0 0 10 0 0 cm BT /R20 9.9626 Tf 1 0 0 1 462.655 104.91 Tm (15) Tj ET Q 0 g q 10 0 0 10 0 0 cm BT /R20 9.9626 Tf 1 0 0 1 472.618 104.91 Tm (\054) Tj ET Q 0 1 0 rg q 10 0 0 10 0 0 cm BT /R20 9.9626 Tf 1 0 0 1 478.107 104.91 Tm (4) Tj ET Q 0 g q 10 0 0 10 0 0 cm BT /R20 9.9626 Tf 1 0 0 1 483.088 104.91 Tm [ (\135\054) -311.987 (which) -300.994 (allo) 24.9909 (ws) ] TJ -174.226 -11.9551 Td [ (some) -197.006 (local) -197.016 (estimation) -197.996 (of) -196.984 (noise) -197.006 (le) 25.0203 (v) 14.9828 (el) -196.982 (b) 20.0016 (ut) -197.016 (maintains) -198.006 (the) -197.016 (strong) ] TJ 11.9551 TL T* [ (and) -245.993 <0361> 14.9877 (wed) -245.996 (ass) 0.98758 (umption) -245.991 (that) -245.983 (pix) 14.9975 (els) -245.988 (in) -245.008 (the) -245.988 (residual) -246.018 (are) -246.008 (uncor) 20.0065 (\055) ] TJ -13.741 -29.8879 Td (1) Tj ET Q Q Q q q 1 1 1 rg /a0 gs 48.406 786.422 515.188 -52.699 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 14.4 TL ET 1 1 1 rg n 270 47 72 14 re f* 0.5 0.5 0.5 rg BT /F2 9 Tf 10.8 TL ET BT 1 0 0 1 297 50 Tm (5477) 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
/Length 5565
/ColorSpace /DeviceRGB
/DecodeParms <<
/Columns 64
/Colors 3
/Predictor 15
>>
/SMask 21 0 R
/BitsPerComponent 8
/Height 64
/Width 64
/Subtype /Image
>>
stream
xM^SqO-.Dn3d638r̿8e E'R${yw^>W{`?㡇w}:jѢE7
7oyn63[~~j7?F믿_}~?&mw}gq#?G}_|~1;{[o}gr!h_nq<~g+/^le[o56k֬9_f>nڔ)S~vm7stM[o=6xc_aA-~6l_~;`Ov}]ve
6H&w=O<fVRxXT