IEEE Trans Image Process - On the complexity of mumford-shah-type regularization, viewed as a relaxed sparsity constraint.

Tópicos

{ problem(2511) optim(1539) algorithm(950) }
{ general(901) number(790) one(736) }
{ imag(2830) propos(1344) filter(1198) }
{ learn(2355) train(1041) set(1003) }
{ can(774) often(719) complex(702) }
{ method(1219) similar(1157) match(930) }
{ network(2748) neural(1063) input(814) }
{ framework(1458) process(801) describ(734) }
{ error(1145) method(1030) estim(1020) }
{ algorithm(1844) comput(1787) effici(935) }
{ extract(1171) text(1153) clinic(932) }
{ method(1557) propos(1049) approach(1037) }
{ howev(809) still(633) remain(590) }
{ data(2317) use(1299) case(1017) }
{ analysi(2126) use(1163) compon(1037) }
{ model(3404) distribut(989) bayesian(671) }
{ imag(1947) propos(1133) code(1026) }
{ data(1737) use(1416) pattern(1282) }
{ inform(2794) health(2639) internet(1427) }
{ system(1976) rule(880) can(841) }
{ measur(2081) correl(1212) valu(896) }
{ imag(1057) registr(996) error(939) }
{ bind(1733) structur(1185) ligand(1036) }
{ sequenc(1873) structur(1644) protein(1328) }
{ featur(3375) classif(2383) classifi(1994) }
{ imag(2675) segment(2577) method(1081) }
{ patient(2315) diseas(1263) diabet(1191) }
{ take(945) account(800) differ(722) }
{ studi(2440) review(1878) systemat(933) }
{ motion(1329) object(1292) video(1091) }
{ assess(1506) score(1403) qualiti(1306) }
{ treatment(1704) effect(941) patient(846) }
{ surgeri(1148) surgic(1085) robot(1054) }
{ chang(1828) time(1643) increas(1301) }
{ concept(1167) ontolog(924) domain(897) }
{ clinic(1479) use(1117) guidelin(835) }
{ data(1714) softwar(1251) tool(1186) }
{ design(1359) user(1324) use(1319) }
{ control(1307) perform(991) simul(935) }
{ model(2220) cell(1177) simul(1124) }
{ care(1570) inform(1187) nurs(1089) }
{ method(984) reconstruct(947) comput(926) }
{ search(2224) databas(1162) retriev(909) }
{ featur(1941) imag(1645) propos(1176) }
{ case(1353) use(1143) diagnosi(1136) }
{ data(3963) clinic(1234) research(1004) }
{ studi(1410) differ(1259) use(1210) }
{ risk(3053) factor(974) diseas(938) }
{ perform(999) metric(946) measur(919) }
{ research(1085) discuss(1038) issu(1018) }
{ system(1050) medic(1026) inform(1018) }
{ import(1318) role(1303) understand(862) }
{ model(2341) predict(2261) use(1141) }
{ visual(1396) interact(850) tool(830) }
{ compound(1573) activ(1297) structur(1058) }
{ perform(1367) use(1326) method(1137) }
{ studi(1119) effect(1106) posit(819) }
{ blood(1257) pressur(1144) flow(957) }
{ spatial(1525) area(1432) region(1030) }
{ record(1888) medic(1808) patient(1693) }
{ health(3367) inform(1360) care(1135) }
{ model(3480) simul(1196) paramet(876) }
{ monitor(1329) mobil(1314) devic(1160) }
{ ehr(2073) health(1662) electron(1139) }
{ state(1844) use(1261) util(961) }
{ research(1218) medic(880) student(794) }
{ patient(2837) hospit(1953) medic(668) }
{ model(2656) set(1616) predict(1553) }
{ age(1611) year(1155) adult(843) }
{ medic(1828) order(1363) alert(1069) }
{ signal(2180) analysi(812) frequenc(800) }
{ cost(1906) reduc(1198) effect(832) }
{ group(2977) signific(1463) compar(1072) }
{ sampl(1606) size(1419) use(1276) }
{ gene(2352) biolog(1181) express(1162) }
{ data(3008) multipl(1320) sourc(1022) }
{ first(2504) two(1366) second(1323) }
{ intervent(3218) particip(2042) group(1664) }
{ activ(1138) subject(705) human(624) }
{ time(1939) patient(1703) rate(768) }
{ patient(1821) servic(1111) care(1106) }
{ use(2086) technolog(871) perceiv(783) }
{ can(981) present(881) function(850) }
{ health(1844) social(1437) communiti(874) }
{ structur(1116) can(940) graph(676) }
{ high(1669) rate(1365) level(1280) }
{ cancer(2502) breast(956) screen(824) }
{ use(976) code(926) identifi(902) }
{ use(1733) differ(960) four(931) }
{ drug(1928) target(777) effect(648) }
{ result(1111) use(1088) new(759) }
{ implement(1333) system(1263) develop(1122) }
{ survey(1388) particip(1329) question(1065) }
{ estim(2440) model(1874) function(577) }
{ decis(3086) make(1611) patient(1517) }
{ process(1125) use(805) approach(778) }
{ activ(1452) weight(1219) physic(1104) }
{ method(1969) cluster(1462) data(1082) }
{ method(2212) result(1239) propos(1039) }
{ detect(2391) sensit(1101) algorithm(908) }

Resumo

We show that inverse problems with a truncated quadratic regularization are NP-hard in general to solve or even approximate up to an additive error. This stands in contrast to the case corresponding to a finite-dimensional approximation to the Mumford-Shah functional, where the operator involved is the identity and for which polynomial-time solutions are known. Consequently, we confirm the infeasibility of any natural extension of the Mumford-Shah functional to general inverse problems. A connection between truncated quadratic minimization and sparsity-constrained minimization is also discussed.

Resumo Limpo

show invers problem truncat quadrat regular nphard general solv even approxim addit error stand contrast case correspond finitedimension approxim mumfordshah function oper involv ident polynomialtim solut known consequ confirm infeas natur extens mumfordshah function general invers problem connect truncat quadrat minim sparsityconstrain minim also discuss

Resumos Similares

IEEE Trans Image Process - Smoothed low rank and sparse matrix recovery by iteratively reweighted least squares minimization. ( 0,889873338683794 )
IEEE Trans Image Process - An augmented Lagrangian approach to the constrained optimization formulation of imaging inverse problems. ( 0,886917435177506 )
IEEE Trans Image Process - An iterative linear expansion of thresholds for l1-based image restoration. ( 0,884099598627933 )
IEEE Trans Image Process - An alternating direction algorithm for total variation reconstruction of distributed parameters. ( 0,883514521048937 )
Neural Comput - Alternating direction methods for latent variable gaussian graphical model selection. ( 0,880921868440759 )
IEEE Trans Neural Netw Learn Syst - Convergence and rate analysis of neural networks for sparse approximation. ( 0,88081634487331 )
Neural Comput - A novel iterative method for computing generalized inverse. ( 0,878046109901541 )
IEEE Trans Pattern Anal Mach Intell - Maximum Correntropy Criterion for Robust Face Recognition. ( 0,87259431114543 )
IEEE Trans Image Process - Alternating minimization algorithm for speckle reduction with a shifting technique. ( 0,867444502703821 )
IEEE Trans Image Process - Efficient algorithms for robust recovery of images from compressed data. ( 0,862605864976537 )
Neural Comput - Nondegenerate piecewise linear systems: a finite Newton algorithm and applications in machine learning. ( 0,859332738290635 )
IEEE Trans Image Process - Efficient algorithm for nonconvex minimization and its application to PM regularization. ( 0,858427297679189 )
IEEE Trans Image Process - Parameter selection for total-variation-based image restoration using discrepancy principle. ( 0,856750183267097 )
IEEE Trans Image Process - Alternating direction method for balanced image restoration. ( 0,855995779711524 )
IEEE Trans Neural Netw Learn Syst - Incremental Support Vector Learning for Ordinal Regression. ( 0,852022112312017 )
J. Comput. Biol. - An improved satisfiability algorithm for nested canalyzing functions and its application to determining a singleton attractor of a Boolean network. ( 0,839049193344567 )
Comput Biol Chem - Deposition and extension approach to find longest common subsequence for thousands of long sequences. ( 0,837675081307147 )
IEEE Trans Image Process - Fast image recovery using variable splitting and constrained optimization. ( 0,836353847582239 )
IEEE Trans Image Process - Generalized higher degree total variation (HDTV) regularization. ( 0,83403083549813 )
IEEE Trans Neural Netw Learn Syst - A one-class kernel fisher criterion for outlier detection. ( 0,833789404829888 )
J. Comput. Biol. - The co phylogeny reconstruction problem is NP-complete. ( 0,83236883551334 )
Comput Biol Chem - A hyper-heuristic for the Longest Common Subsequence problem. ( 0,831454472573039 )
Neural Comput - Alternating proximal regularized dictionary learning. ( 0,828409622440216 )
IEEE Trans Neural Netw Learn Syst - A Neurodynamic Optimization Method for Recovery of Compressive Sensed Signals With Globally Converged Solution Approximating to l0 Minimization. ( 0,828370876804174 )
IEEE Trans Image Process - Parallel proximal algorithm for image restoration using hybrid regularization. ( 0,826385034718011 )
IEEE Trans Image Process - A generalized accelerated proximal gradient approach for total-variation-based image restoration. ( 0,8249688575719 )
IEEE Trans Image Process - An alternating minimization algorithm for binary image restoration. ( 0,823616384638253 )
IEEE Trans Image Process - A fast adaptive parameter estimation for total variation image restoration. ( 0,823186164664038 )
Comput Math Methods Med - A 3D finite-difference BiCG iterative solver with the Fourier-Jacobi preconditioner for the anisotropic EIT/EEG forward problem. ( 0,821909922024335 )
IEEE Trans Image Process - Enhancement of coupled multichannel images using sparsity constraints. ( 0,821390904957807 )
Neural Comput - A proof of convergence of the concave-convex procedure using Zangwill's theory. ( 0,82129434950165 )
IEEE Trans Image Process - Sparse stochastic processes and discretization of linear inverse problems. ( 0,821086981574771 )
IEEE Trans Image Process - Nonlocal regularization of inverse problems: a unified variational framework. ( 0,816871623702524 )
IEEE Trans Image Process - Restoration of Poissonian images using alternating direction optimization. ( 0,816343047717992 )
IEEE Trans Image Process - An iterative L1-based image restoration algorithm with an adaptive parameter estimation. ( 0,811913223034514 )
Comput. Biol. Med. - Three penalized EM-type algorithms for PET image reconstruction. ( 0,809544314130269 )
IEEE Trans Image Process - Parameter estimation for blind and non-blind deblurring using residual whiteness measures. ( 0,809500780812602 )
IEEE Trans Image Process - Graph cuts for curvature based image denoising. ( 0,80859144156976 )
Comput. Biol. Med. - Nonparametric optimization of constrained total variation for tomography reconstruction. ( 0,807609978916632 )
Neural Comput - Linear coordinate-descent message passing for quadratic optimization. ( 0,806554001278636 )
IEEE Trans Image Process - Hessian Schatten-norm regularization for linear inverse problems. ( 0,803154567592389 )
IEEE Trans Image Process - Approximate least trimmed sum of squares fitting and applications in image analysis. ( 0,797139055936451 )
IEEE Trans Image Process - Efficient rate-distortion optimal packetization of embedded bitstreams into independent source packets. ( 0,795168098298686 )
Neural Comput - Active subspace: toward scalable low-rank learning. ( 0,793937240451479 )
IEEE Trans Image Process - Blind spectral unmixing based on sparse nonnegative matrix factorization. ( 0,792469588242816 )
IEEE Trans Image Process - Optimal design of FIR triplet halfband filter bank and application in image coding. ( 0,788029982706442 )
IEEE Trans Image Process - An augmented Lagrangian method for total variation video restoration. ( 0,783240496156897 )
Comput Math Methods Med - Optimal control of HIV dynamic using embedding method. ( 0,780227905644398 )
J Med Syst - ACO for the surgical cases assignment problem. ( 0,778994534170366 )
IEEE Trans Pattern Anal Mach Intell - Robust Recovery of Corrupted Low-rank Matrix by Implicit Regularizers. ( 0,778321294555587 )
IEEE Trans Pattern Anal Mach Intell - Tag Completion for Image Retrieval. ( 0,775536884243765 )
IEEE Trans Neural Netw Learn Syst - Further result on guaranteed H8 performance state estimation of delayed static neural networks. ( 0,775378057158855 )
IEEE Trans Image Process - Improved image recovery from compressed data contaminated with impulsive noise. ( 0,774805732529456 )
Comput Math Methods Med - Variational principles for buckling of microtubules modeled as nonlocal orthotropic shells. ( 0,773272764080746 )
IEEE Trans Image Process - Deconvolving images with unknown boundaries using the alternating direction method of multipliers. ( 0,769268019630735 )
IEEE Trans Neural Netw Learn Syst - Learning With Mixed Hard/Soft Pointwise Constraints. ( 0,767279940751891 )
IEEE Trans Neural Netw Learn Syst - Finite-Horizon Approximate Optimal Guaranteed Cost Control of Uncertain Nonlinear Systems With Application to Mars Entry Guidance. ( 0,767129354423122 )
J. Comput. Biol. - On the complexity of rearrangement problems under the breakpoint distance. ( 0,766806180482722 )
IEEE Trans Image Process - Preconditioning for edge-preserving image super resolution. ( 0,766591422179955 )
IEEE Trans Pattern Anal Mach Intell - Nonnegative Matrix Factorization with Earth Mover's Distance Metric for Image Analysis. ( 0,765492315091233 )
Comput Math Methods Med - Study on parameter optimization for support vector regression in solving the inverse ECG problem. ( 0,764534091649331 )
IEEE Trans Image Process - Robust principal component analysis based on maximum correntropy criterion. ( 0,76285634254084 )
IEEE Trans Pattern Anal Mach Intell - Optimized Product Quantization. ( 0,762501705648355 )
Neural Comput - Guaranteed classification via regularized similarity learning. ( 0,762420789449649 )
IEEE Trans Pattern Anal Mach Intell - Shape Representation and Registration in Vector Implicit Spaces: Adopting a Closed Form Solution in the Optimization Process. ( 0,760249808094698 )
IEEE Trans Image Process - Regularization parameter selection for nonlinear iterative image restoration and MRI reconstruction using GCV and SURE-based methods. ( 0,759664519480029 )
IEEE Trans Image Process - Minimization of monotonically levelable higher order MRF energies via graph cuts. ( 0,757660479049944 )
IEEE Trans Image Process - Multiview deblurring for 3-D images from light-sheet-based fluorescence microscopy. ( 0,756791559606362 )
IEEE Trans Image Process - A multiplicative iterative algorithm for box-constrained penalized likelihood image restoration. ( 0,755532946451561 )
IEEE Trans Image Process - A new multiplicative denoising variational model based on mth root transformation. ( 0,753901689832807 )
IEEE Trans Neural Netw Learn Syst - Scalable Nonparametric Low-Rank Kernel Learning Using Block Coordinate Descent. ( 0,751820512908169 )
IEEE Trans Pattern Anal Mach Intell - Polynomial Eigenvalue Solutions to Minimal Problems in Computer Vision. ( 0,750370286478867 )
J. Comput. Biol. - Border length minimization problem on a square array. ( 0,747531147780083 )
IEEE Trans Image Process - Fast nonconvex nonsmooth minimization methods for image restoration and reconstruction. ( 0,744012904579502 )
Neural Comput - A parallel dual matrix method for blind signal separation. ( 0,743916113823336 )
IEEE Trans Image Process - A primal-dual method for total-variation-based wavelet domain inpainting. ( 0,734915518936432 )
IEEE Trans Image Process - Solving inverse problems with piecewise linear estimators: from Gaussian mixture models to structured sparsity. ( 0,733888370149809 )
IEEE Trans Image Process - Fast model-based X-ray CT reconstruction using spatially nonhomogeneous ICD optimization. ( 0,730992337939 )
IEEE Trans Image Process - A universal variational framework for sparsity-based image inpainting. ( 0,729433329045842 )
IEEE Trans Neural Netw Learn Syst - Online Sequential Extreme Learning Machine With Kernels. ( 0,728527540668808 )
IEEE Trans Image Process - Efficient semidefinite spectral clustering via lagrange duality. ( 0,728426642381753 )
Neural Comput - Regularized variational Bayesian learning of echo state networks with delay&sum readout. ( 0,725140162717197 )
IEEE Trans Image Process - Alternating direction method of multipliers for nonlinear image restoration problems. ( 0,724460291183015 )
IEEE Trans Pattern Anal Mach Intell - Minimum Near-Convex Shape Decomposition. ( 0,72354373924095 )
IEEE Trans Image Process - Efficient variational Bayesian approximation method based on subspace optimization. ( 0,722935184830634 )
IEEE Trans Pattern Anal Mach Intell - A Tensor-Based Algorithm for High-Order Graph Matching. ( 0,722667086922369 )
IEEE Trans Image Process - A filtering approach to edge preserving MAP estimation of images. ( 0,720346752037275 )
IEEE Trans Pattern Anal Mach Intell - On the Duality of Forward and Inverse Light Transport. ( 0,720223202338841 )
Neural Comput - Learning rates of lq coefficient regularization learning with gaussian kernel. ( 0,719341741688168 )
IEEE Trans Neural Netw Learn Syst - Comparison of l1-Norm SVR and Sparse Coding Algorithms for Linear Regression. ( 0,716184738059765 )
IEEE Trans Pattern Anal Mach Intell - Constrained Nonnegative Matrix Factorization for Image Representation. ( 0,712548221996183 )
IEEE Trans Image Process - Bits from photons: oversampled image acquisition using binary Poisson statistics. ( 0,712098963519466 )
Comput Math Methods Med - Regularized multidirections and multiscales anisotropic diffusion for sinogram restoration of low-dosed computed tomography. ( 0,711864524274647 )
IEEE Trans Image Process - Coupled dictionary training for image super-resolution. ( 0,710241551979634 )
IEEE Trans Image Process - Poisson image reconstruction with Hessian Schatten-norm regularization. ( 0,710049644998471 )
IEEE Trans Pattern Anal Mach Intell - A Closed-Form Solution to Retinex with Nonlocal Texture Constraints. ( 0,705215428354016 )
IEEE Trans Image Process - A coding-cost framework for super-resolution motion layer decomposition. ( 0,702946837686654 )
IEEE Trans Image Process - Iterative shrinkage approach to restoration of optical imagery. ( 0,70214531849877 )
IEEE Trans Image Process - Online sparse Gaussian process regression and its applications. ( 0,699317798580574 )
Comput Math Methods Med - Sparse reconstruction for bioluminescence tomography based on the semigreedy method. ( 0,698577725871445 )