IEEE Trans Neural Netw Learn Syst - The Connection Between Bayesian Estimation of a Gaussian Random Field and RKHS.

Tópicos

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

Resumo

Reconstruction of a function from noisy data is key in machine learning and is often formulated as a regularized optimization problem over an infinite-dimensional reproducing kernel Hilbert space (RKHS). The solution suitably balances adherence to the observed data and the corresponding RKHS norm. When the data fit is measured using a quadratic loss, this estimator has a known statistical interpretation. Given the noisy measurements, the RKHS estimate represents the posterior mean (minimum variance estimate) of a Gaussian random field with covariance proportional to the kernel associated with the RKHS. In this brief, we provide a statistical interpretation when more general losses are used, such as absolute value, Vapnik or Huber. Specifically, for any finite set of sampling locations (that includes where the data were collected), the maximum a posteriori estimate for the signal samples is given by the RKHS estimate evaluated at the sampling locations. This connection establishes a firm statistical foundation for several stochastic approaches used to estimate unknown regularization parameters. To illustrate this, we develop a numerical scheme that implements a Bayesian estimator with an absolute value loss. This estimator is used to learn a function from measurements contaminated by outliers.

Resumo Limpo

reconstruct function noisi data key machin learn often formul regular optim problem infinitedimension reproduc kernel hilbert space rkhs solut suitabl balanc adher observ data correspond rkhs norm data fit measur use quadrat loss estim known statist interpret given noisi measur rkhs estim repres posterior mean minimum varianc estim gaussian random field covari proport kernel associ rkhs brief provid statist interpret general loss use absolut valu vapnik huber specif finit set sampl locat includ data collect maximum posteriori estim signal sampl given rkhs estim evalu sampl locat connect establish firm statist foundat sever stochast approach use estim unknown regular paramet illustr develop numer scheme implement bayesian estim absolut valu loss estim use learn function measur contamin outlier

Resumos Similares

Lifetime Data Anal - On collapsibility and confounding bias in Cox and Aalen regression models. ( 0,667892726865185 )
Neural Comput - Sufficient dimension reduction via squared-loss mutual information estimation. ( 0,630614128666206 )
Lifetime Data Anal - The weighted log-rank class under truncated binomial design: saddlepoint p-values and confidence intervals. ( 0,623199362435064 )
Neural Comput - U-processes and preference learning. ( 0,612514552165494 )
Int J Health Geogr - Determining optimal neighborhood size for ecological studies using leave-one-out cross validation. ( 0,605154558913284 )
Comput Methods Programs Biomed - General bounds for electrode mislocation on the EEG inverse problem. ( 0,603380274082572 )
IEEE Trans Image Process - Sparse demixing of hyperspectral images. ( 0,599148921704568 )
IEEE Trans Image Process - Efficient registration of nonrigid 3-D bodies. ( 0,595399616421509 )
Lifetime Data Anal - A consistent NPMLE of the joint distribution function with competing risks data under the dependent masking and right-censoring model. ( 0,595150452613848 )
IEEE Trans Neural Netw Learn Syst - Application of Reinforcement Learning Algorithms for the Adaptive Computation of the Smoothing Parameter for Probabilistic Neural Network. ( 0,594395973439492 )
Methods Inf Med - Influence of parameter settings in voxel-based morphometry 8. Using DARTEL and region-of-interest on reproducibility in gray matter volumetry. ( 0,588193594947914 )
IEEE Trans Neural Netw Learn Syst - Sparse multivariate gaussian mixture regression. ( 0,583550468398859 )
IEEE Trans Neural Netw Learn Syst - Two Efficient Twin ELM Methods With Prediction Interval. ( 0,583193866728161 )
Res Synth Methods - Robust variance estimation in meta-regression with binary dependent effects. ( 0,582368911385311 )
Med Biol Eng Comput - Binary optimization for source localization in the inverse problem of ECG. ( 0,577506406864328 )
Neural Comput - Learning coefficient of generalization error in Bayesian estimation and vandermonde matrix-type singularity. ( 0,577200563116073 )
Comput Biol Chem - A novel k-word relative measure for sequence comparison. ( 0,574762758839521 )
IEEE J Biomed Health Inform - A bicluster-based Bayesian principal component analysis method for microarray missing value estimation. ( 0,57456514988331 )
Methods Inf Med - Individual Thresholding of Voxel-based Functional Connectivity Maps. Estimation of Random Errors by Means of Surrogate Time Series. ( 0,571104122332232 )
Comput Methods Programs Biomed - Biomedical system based on the Discrete Hidden Markov Model using the Rocchio-Genetic approach for the classification of internal carotid artery Doppler signals. ( 0,56721244503793 )
Comput Methods Programs Biomed - Adaptive network based on fuzzy inference system for equilibrated urea concentration prediction. ( 0,566546545915352 )
Med Biol Eng Comput - Estimation of impulse response between electromyogram signals for use in conduction delay distribution estimation. ( 0,559253609296078 )
IEEE Trans Image Process - Efficient minimum error bounded particle resampling L1 tracker with occlusion detection. ( 0,558775697971263 )
Comput. Biol. Med. - An effective measure for assessing the quality of biclusters. ( 0,55842887663563 )
Med Biol Eng Comput - A Kalman filter-based approach to reduce the effects of geometric errors and the measurement noise in the inverse ECG problem. ( 0,55794992633258 )
J Med Syst - Throughput and delay analysis of IEEE 802.15.6-based CSMA/CA protocol. ( 0,556903162107797 )
Comput Methods Programs Biomed - Bayesian sample-size determination for two independent Poisson rates. ( 0,556890098923011 )
Comput. Biol. Med. - An optimized Nash nonlinear grey Bernoulli model based on particle swarm optimization and its application in prediction for the incidence of Hepatitis B in Xinjiang, China. ( 0,555415534136702 )
IEEE Trans Image Process - Sparse stochastic processes and discretization of linear inverse problems. ( 0,554446752495506 )
Comput Methods Programs Biomed - Estimation of the elastic parameters of human liver biomechanical models by means of medical images and evolutionary computation. ( 0,552028183032078 )
Lifetime Data Anal - Bayesian analysis for monotone hazard ratio. ( 0,548050573543281 )
BMC Med Inform Decis Mak - Optimum binary cut-off threshold of a diagnostic test: comparison of different methods using Monte Carlo technique. ( 0,54802191609671 )
Med Decis Making - An efficient method for computing single-parameter partial expected value of perfect information. ( 0,544496413556249 )
IEEE Trans Neural Netw Learn Syst - A one-class kernel fisher criterion for outlier detection. ( 0,543475191780043 )
IEEE J Biomed Health Inform - Estimating energy expenditure using body-worn accelerometers: a comparison of methods, sensors number and positioning. ( 0,540851668071727 )
IEEE Trans Neural Netw Learn Syst - An incremental design of radial basis function networks. ( 0,540672251182946 )
Telemed J E Health - A new chest compression depth feedback algorithm for high-quality CPR based on smartphone. ( 0,540303029760413 )
Comput Methods Programs Biomed - Estimation algorithm of the bowel motility based on regression analysis of the jitter and shimmer of bowel sounds. ( 0,539719243790199 )
IEEE J Biomed Health Inform - Joint probabilistic model of shape and intensity for multiple abdominal organ segmentation from volumetric CT images. ( 0,539529659764862 )
Comput Math Methods Med - Application of multivariate modeling for radiation injury assessment: a proof of concept. ( 0,538054962833133 )
Comput Math Methods Med - Long-term prediction of emergency department revenue and visitor volume using autoregressive integrated moving average model. ( 0,537662954399878 )
J. Comput. Biol. - Nonadaptive algorithms for threshold group testing with inhibitors and error-tolerance. ( 0,535931789241011 )
IEEE Trans Image Process - Sparse bayesian learning of filters for efficient image expansion. ( 0,535006433660354 )
Comput. Biol. Med. - Real time identification of active regions in muscles from high density surface electromyogram. ( 0,534757906343862 )
Neural Comput - Regularized parameter estimation in high-dimensional gaussian mixture models. ( 0,532333606105415 )
IEEE Trans Image Process - Nonlocal means with dimensionality reduction and SURE-based parameter selection. ( 0,53080055164689 )
Neural Comput - Optimizing time histograms for non-Poissonian spike trains. ( 0,529453544519316 )
Neural Comput - Robust subspace discovery via relaxed rank minimization. ( 0,526779723123666 )
J Clin Monit Comput - Non-invasive measurement of cardiac output in obese children and adolescents: comparison of electrical cardiometry and transthoracic Doppler echocardiography. ( 0,522168872787995 )
Neural Comput - Learning rates of lq coefficient regularization learning with gaussian kernel. ( 0,52177556488288 )
Neural Comput - Improved integral equation solution for the first passage time of leaky integrate-and-fire neurons. ( 0,521632717830126 )
IEEE Trans Image Process - Parameter estimation for blind and non-blind deblurring using residual whiteness measures. ( 0,521307545414664 )
IEEE Trans Image Process - Robust albedo estimation from a facial image with cast shadow under general unknown lighting. ( 0,518880003649559 )
IEEE Trans Image Process - Approximate least trimmed sum of squares fitting and applications in image analysis. ( 0,51840988351668 )
IEEE Trans Image Process - Near-optimal compressed sensing guarantees for total variation minimization. ( 0,518257619233863 )
Comput. Biol. Med. - Approach for streamlining measurement of complex physiological phenotypes of upper airway collapsibility. ( 0,51736430588804 )
Med Biol Eng Comput - Automatic video detection of body movement during sleep based on optical flow in pediatric patients with epilepsy. ( 0,517112234714225 )
Lifetime Data Anal - Neyman, Markov processes and survival analysis. ( 0,516754998711259 )
Comput Math Methods Med - Investigation of attenuation correction for small-animal single photon emission computed tomography. ( 0,515698448613052 )
IEEE Trans Image Process - Statistical modeling of 3-D natural scenes with application to Bayesian stereopsis. ( 0,515066426639285 )
Comput. Biol. Med. - The L1/2 regularization approach for survival analysis in the accelerated failure time model. ( 0,513199863739105 )
IEEE Trans Vis Comput Graph - Poisson Coordinates. ( 0,513087660699471 )
IEEE Trans Image Process - Multiview Hessian regularization for image annotation. ( 0,512966765874666 )
Med Decis Making - Estimating health state utility values for joint health conditions: a conceptual review and critique of the current evidence. ( 0,512364478697884 )
Brief. Bioinformatics - A statistical design for testing apomictic diversification through linkage analysis. ( 0,510595561511037 )
Methods Inf Med - Analysis of Fluorescence Lifetime Imaging Microscopy (FLIM) data. Based on a fully automated Laguerre deconvolution method. ( 0,510414539943848 )
IEEE Trans Pattern Anal Mach Intell - Sparse Canonical Correlation Analysis: New Formulation and Algorithm. ( 0,509745963564449 )
Comput Math Methods Med - Paraxial ocular measurements and entries in spectral and modal matrices: analogy and application. ( 0,509422326230039 )
J Chem Inf Model - Benchmarking study of parameter variation when using signature fingerprints together with support vector machines. ( 0,509044343013885 )
IEEE Trans Image Process - A multiplicative iterative algorithm for box-constrained penalized likelihood image restoration. ( 0,508741532034291 )
J. Comput. Biol. - Loops in canonical RNA pseudoknot structures. ( 0,508280851794495 )
Artif Intell Med - Modified tabu search approach for variable selection in quantitative structure-activity relationship studies of toxicity of aromatic compounds. ( 0,507347560471849 )
Comput. Biol. Med. - Preoperative implant selection for two stage breast reconstruction with 3D imaging. ( 0,506542554696829 )
J. Med. Internet Res. - Biological calibration for web-based hearing tests: evaluation of the methods. ( 0,506140399754715 )
Comput Methods Programs Biomed - Appraisal of adaptive neuro-fuzzy computing technique for estimating anti-obesity properties of a medicinal plant. ( 0,50597510572136 )
IEEE Trans Image Process - Compressive sensing by learning a Gaussian mixture model from measurements. ( 0,504968283807207 )
Comput. Biol. Med. - Noninvasive identification of two lesions with local repolarization changes using two dipoles in inverse solution simulation study. ( 0,503341347860909 )
Neural Comput - Bayesian sparse partial least squares. ( 0,503284602743208 )
Lifetime Data Anal - Non-crossing weighted kernel quantile regression with right censored data. ( 0,501913305454871 )
Med Biol Eng Comput - Intra-protocol repeatability and inter-protocol agreement for the analysis of scapulo-humeral coordination. ( 0,501850756110212 )
IEEE Trans Neural Netw Learn Syst - Online Sequential Extreme Learning Machine With Kernels. ( 0,501606205131582 )
Neural Comput - Self-consistent learning of the environment. ( 0,501392746083413 )
IEEE Trans Image Process - Depth sensation enhancement using the just noticeable depth difference. ( 0,501154582954271 )
J. Med. Internet Res. - Self-test web-based pure-tone audiometry: validity evaluation and measurement error analysis. ( 0,500719358839413 )
IEEE Trans Image Process - This is SPIRAL-TAP: Sparse Poisson Intensity Reconstruction ALgorithms--theory and practice. ( 0,5003899987593 )
Neural Comput - Universal approximation depth and errors of narrow belief networks with discrete units. ( 0,500168747895456 )
Comput Methods Programs Biomed - Semi-automated and fully automated mammographic density measurement and breast cancer risk prediction. ( 0,499733909587326 )
Neural Comput - A general likelihood framework for characterizing the time course of neural activity. ( 0,499483469494319 )
IEEE Trans Image Process - Visual classification with multitask joint sparse representation. ( 0,499473416350087 )
Med Decis Making - A comparison of direct and indirect methods for the estimation of health utilities from clinical outcomes. ( 0,499264026398525 )
Med Biol Eng Comput - Genetic algorithm-based regularization parameter estimation for the inverse electrocardiography problem using multiple constraints. ( 0,498023980137284 )
IEEE Trans Pattern Anal Mach Intell - Scaling Multidimensional Inference for Structured Gaussian Processes. ( 0,497728259078504 )
Med Decis Making - Calculating Utility Decrements Associated With an Adverse Event: Marginal Tobit and CLAD Coefficients Should Be Used With Caution. ( 0,497572802469888 )
IEEE Trans Image Process - Variational Bayesian method for Retinex. ( 0,49749984919066 )
Res Synth Methods - Multivariate meta-analysis using individual participant data. ( 0,497353356905774 )
Neural Comput - Learning with convex loss and indefinite kernels. ( 0,497266350382962 )
Neural Comput - Extended robust support vector machine based on financial risk minimization. ( 0,497208817462294 )
IEEE Trans Image Process - Generalized inverse-approach model for spectral-signal recovery. ( 0,495874787803558 )
Comput Methods Programs Biomed - Measurement error in statistical models of shape. ( 0,493911407837394 )
Int J Comput Assist Radiol Surg - Wireless mobile technology to improve workflow and feasibility of MR-guided percutaneous interventions. ( 0,492369798654035 )