Séparation de sources. Principes et algorithmes - Gretsi

Recommendations

Info

Problème ACI Indépendance Un problème mal posé ? Impossible sans hypothèses supplémentaires Hypothèse : on connait A, B adapté à A Le problème est mal posé, quel que soit le type de mélange Il faut ajouter des hypothèses sur les sources s1(t), . . . , sP(t) Quels a priori ? Les sources sont non corrélées : insuffisant Les sources sont statistiquement indépendantes → ICA Autres a priori : sources discrètes, sources à support borné, sources parcimonieuses, sources positives, etc. P.Comon & C.Jutten, Peyresq July 2011 BSS I.Le problème et les principes de résolution 12
Problème ACI Indépendance Résultat de Darmois (1953) [Dar53] Analyse factorielle linéaire Mélange linéaire : x = As Hypothèse : les composantes du vecteur aléatoire s sont mutuellement indépendantes Résultat théorique Séparation impossible si les sources sont indépendantes et identiquement distribuées (iid) ET gaussiennes Pistes pour la séparation Séparation possible si les sources sont iid ET NON gaussiennes : ICA, et statistiques d’ordre supérieur à 2 Séparation possible si les sources sont gaussiennes (statistiques d’ordre 2) ET NON iid : sources temporellement corrélées sources non stationnaires P.Comon & C.Jutten, Peyresq July 2011 BSS I.Le problème et les principes de résolution 13
Page 1 and 2: Séparation de sources. Principes e
Page 3 and 4: Problème ACI Indépendance I. Le p
Page 5 and 6: Problème ACI Indépendance Sépara
Page 7 and 8: d’où : Problème ACI Indépendan
Page 9 and 10: Problème ACI Indépendance Sépara
Page 11: Problème ACI Indépendance Formali
Page 15 and 16: Problème ACI Indépendance Analyse
Page 17 and 18: Modèle de mélange Problème ACI I
Page 19 and 20: Problème ACI Indépendance Aveugle
Page 21 and 22: Problème ACI Indépendance Mélang
Page 23 and 24: Problème ACI Indépendance Conséq
Page 25 and 26: Problème ACI Indépendance Premiè
Page 27 and 28: Problème ACI Indépendance Petit e
Page 29 and 30: Définition Problème ACI Indépend
Page 31 and 32: Problème ACI Indépendance Une ast
Page 33 and 34: Pourquoi ? Problème ACI Indépenda
Page 35 and 36: Problème ACI Indépendance Sources
Page 37 and 38: Problème ACI Indépendance Cas de
Page 39 and 40: Algebraic tools Statistical tools C
Page 63 and 64:
Algebraic tools Statistical tools C
Page 65 and 66:
Page 67 and 68:
Page 69 and 70:
Page 71 and 72:
Example T = Algebraic tools Statist
Page 73 and 74:
Page 75 and 76:
Page 77 and 78:
Page 79 and 80:
Page 81 and 82:
Page 83 and 84:
Page 85 and 86:
Page 87 and 88:
Page 89 and 90:
Page 91 and 92:
Page 93 and 94:
Page 95 and 96:
Page 97 and 98:
Page 99 and 100:
Page 101 and 102:
Page 103 and 104:
Page 105 and 106:
Page 107 and 108:
Page 109 and 110:
Principle Algebraic tools Statistic
Page 111 and 112:
Page 113 and 114:
Page 115 and 116:
Page 117 and 118:
Page 119 and 120:
Page 121 and 122:
Introduction Colored Nonstationary
Page 123 and 124:
Page 125 and 126:
Page 127 and 128:
Page 129 and 130:
Page 131 and 132:
Page 133 and 134:
Page 135 and 136:
Page 137 and 138:
Page 139 and 140:
Page 141 and 142:
Page 143 and 144:
Page 145 and 146:
Page 147 and 148:
Page 149 and 150:
Page 151 and 152:
Intro Dim2 Orthogonal Deflation Dis
Page 153 and 154:
Page 155 and 156:
Page 157 and 158:
Page 159 and 160:
Page 161 and 162:
Page 163 and 164:
Page 165 and 166:
Page 167 and 168:
Page 169 and 170:
Page 171 and 172:
Page 173 and 174:
Page 175 and 176:
Page 177 and 178:
Page 179 and 180:
Page 181 and 182:
Page 183 and 184:
Page 185 and 186:
Page 187 and 188:
Page 189 and 190:
Page 191 and 192:
Page 193 and 194:
Page 195 and 196:
Page 197 and 198:
Page 199 and 200:
Invertible Iterative SemiAlg ConclR
Page 201 and 202:
Page 203 and 204:
Page 205 and 206:
Page 207 and 208:
Page 209 and 210:
Page 211 and 212:
Page 213 and 214:
Page 215 and 216:
Page 217 and 218:
Page 219 and 220:
Page 221 and 222:
Page 223 and 224:
Page 225 and 226:
Page 227 and 228:
Page 229 and 230:
Intro Inversibility Time Frequ VI.
Page 231 and 232:
Intro Inversibility Time Frequ Nota
Page 233 and 234:
Page 235 and 236:
Page 237 and 238:
Global filter Intro Inversibility T
Page 239 and 240:
Intro Inversibility Time Frequ Cont
Page 241 and 242:
Page 243 and 244:
Page 245 and 246:
Page 247 and 248:
Page 249 and 250:
Page 251 and 252:
Page 253 and 254:
Page 255 and 256:
Interest Intro Inversibility Time F
Page 257 and 258:
Page 259 and 260:
Page 261 and 262:
Kronecker notation Intro Inversibil
Page 263 and 264:
Page 265 and 266:
Page 267 and 268:
⎛ ⎜ ⎝ Intro Inversibility Tim
Page 269 and 270:
Page 271 and 272:
Page 273 and 274:
Page 275 and 276:
Page 277 and 278:
Source separation Intro Inversibili
Page 279 and 280:
Page 281 and 282:
Fourier domain ? Intro Inversibilit
Page 283 and 284:
Intro Inversibility Time Frequ Intr
Page 285 and 286:
Page 287 and 288:
Page 289 and 290:
Page 291 and 292:
Identifiability ICA for NL Discussi
Page 293 and 294:
Undeterminacy Identifiability ICA f
Page 295 and 296:
Page 297 and 298:
Page 299 and 300:
Page 301 and 302:
Page 303 and 304:
Page 305 and 306:
Comments Identifiability ICA for NL
Page 307 and 308:
Theorem Identifiability ICA for NL
Page 309 and 310:
Page 311 and 312:
Page 313 and 314:
Page 315 and 316:
Page 317 and 318:
Page 319 and 320:
Page 321 and 322:
Page 323 and 324:
Identifiability Identifiability ICA
Page 325 and 326:
Page 327 and 328:
Page 329 and 330:
Problem Algorithms Biblio SCA Conte
Page 331 and 332:
Problem Algorithms Biblio SCA nCF I
Page 333 and 334:
Page 335 and 336:
Page 337 and 338:
Page 339 and 340:
Page 341 and 342:
Page 343 and 344:
Page 345 and 346:
Page 347 and 348:
Page 349 and 350:
Page 351 and 352:
Page 353 and 354:
Page 355 and 356:
Page 357 and 358:
Page 359 and 360:
Page 361 and 362:
Page 363 and 364:
Page 365 and 366:
Page 367 and 368:
Page 369 and 370:
Page 371 and 372:
Problem Algorithms Biblio SCA Dim.2
Page 373 and 374:
Page 375 and 376:
Page 377 and 378:
Page 379 and 380:
Lemma Problem Algorithms Biblio SCA
Page 381 and 382:
Page 383 and 384:
Page 385 and 386:
Page 387 and 388:
Page 389 and 390:
Page 391 and 392:
Page 393 and 394:
Page 395 and 396:
Page 397 and 398:
Page 399 and 400:
Page 401 and 402:
Page 403 and 404:
Page 405 and 406:
Page 407 and 408:
Page 409 and 410:
Page 411 and 412:
Page 413 and 414:
Page 415 and 416:
Page 417 and 418:
Page 419 and 420:
Page 421 and 422:
Page 423 and 424:
Page 425 and 426:
Page 427 and 428:
Example [CR06] Problem Algorithms B
Page 429 and 430:
Page 431 and 432:
Page 433 and 434:
Problem Algorithms Biblio SCA Spars
Page 435 and 436:
Problem Algorithms Biblio SCA Solvi
Page 437 and 438:
Problem Algorithms Biblio SCA How t
Page 439 and 440:
Problem Algorithms Biblio SCA Appli
Page 441 and 442:
32 Introduction Titre sous-section
Page 443 and 444:
Introduction NMF NTF Titre sous-sec
Page 445 and 446:
Introduction NMF NTF NN ICA Algorit
Page 447 and 448:
Introduction NMF NTF NN ICA Algorit
Page 449 and 450:
Newton-like method Introduction NMF
Page 451 and 452:
Noisy mixtures Introduction NMF NTF
Page 453 and 454:
Introduction NMF NTF NonNegative Te
Page 455 and 456:
Intro Determ Mars Cum Chemical Show
Page 457 and 458:
Page 459 and 460:
Page 461 and 462:
Page 463 and 464:
Page 465 and 466:
Page 467 and 468:
Page 469 and 470:
Page 471 and 472:
Page 473 and 474:
Page 475 and 476:
Page 477 and 478:
Page 479 and 480:
Page 481 and 482:
Page 483 and 484:
Page 485 and 486:
Page 487 and 488:
Page 489 and 490:
Page 491 and 492:
Page 493 and 494:
Page 495 and 496:
Page 497 and 498:
Page 499 and 500:
Page 501 and 502:
Page 503 and 504:
Page 505 and 506:
Page 507 and 508:
Page 509 and 510:
Page 511 and 512:
Page 513 and 514:
Page 515 and 516:
Page 517 and 518:
Page 519 and 520:
Page 521 and 522:
Page 523 and 524:
Page 525 and 526:
Page 527 and 528:
Page 529 and 530:
Page 531 and 532:
Page 533 and 534:
Page 535 and 536:
Page 537 and 538:
Page 539 and 540:
Page 541 and 542:
Page 543 and 544:
Page 545 and 546:
Page 547 and 548:
Page 549 and 550:
Page 551 and 552:
Page 553 and 554:
Page 555 and 556:
Page 557 and 558:
Page 559 and 560:
Page 561 and 562:
Bibliography XI. Bibliography I II
Page 563 and 564:
[BCMT10] J. Brachat, P. Comon, B. M
Page 565 and 566:
[Com95] P. Comon. Supervised classi
Page 567 and 568:
[F´88] L. Féty. Méthodes de trai
Page 569 and 570:
[LISC11] R. Llinares, J. Igual, A.
Page 571 and 572:
[PAB + 02] M. Plumbley, S.A. Abdall
Page 573 and 574:
[TF07] T. Tanaka and S. Fiori. Leas
show all

Séparation de sources. Principes et algorithmes - Gretsi

You also want an ePaper? Increase the reach of your titles

Delete template?

Save as template?