{"title": "Instance-Based Relevance Feedback for Image Retrieval", "book": "Advances in Neural Information Processing Systems", "page_first": 489, "page_last": 496, "abstract": null, "full_text": " \n\n     Instance-Based Relevance Feedback for \n                              Image Retrieval \n\n\n \n                              Giorgio Giacinto and Fabio Roli \n                   Department of Electrical and Electronic Engineering \n                                     University of Cagliari \n                           Piazza D'Armi, Cagliari  Italy 09121 \n                                {giacinto,roli}@diee.unica.it                   \n\n\n                                           Abstract \n\n         High  retrieval  precision  in  content-based  image  retrieval  can  be \n         attained  by  adopting  relevance  feedback  mechanisms.  These \n         mechanisms require that the user judges the quality of the results of \n         the  query  by  marking  all  the  retrieved  images  as  being  either \n         relevant or not. Then, the search engine exploits this information to \n         adapt  the  search  to  better  meet  user's  needs.  At  present,  the  vast \n         majority  of  proposed  relevance  feedback  mechanisms  are \n         formulated in terms of search model that has to be optimized. Such \n         an  optimization  involves  the  modification  of  some  search \n         parameters so that the nearest neighbor of the query vector contains \n         the  largest  number  of  relevant  images.  In  this  paper,  a  different \n         approach  to  relevance  feedback  is  proposed.  After  the  user \n         provides the first feedback, following retrievals are not based on k-\n         nn  search,  but  on  the  computation  of  a  relevance  score  for  each \n         image of the database. This score is computed as a function of two \n         distances, namely the distance from the nearest non-relevant image \n         and  the  distance  from  the  nearest  relevant  one.  Images  are  then \n         ranked  according  to  this  score  and  the  top  k  images  are  displayed. \n         Reported  results  on  three  image  data  sets  show  that  the  proposed \n         mechanism  outperforms  other  state-of-the-art  relevance  feedback \n         mechanisms. \n\n\n1  Introduction \n\nA large number of content-based  image retrieval (CBIR) systems rely on the vector \nrepresentation of images in a multidimensional feature space representing low-level \nimage  characteristics, e.g., color,  texture, shape, etc. [1]. Content-based queries are \noften expressed by visual examples in order to retrieve from the database the images \nthat  are  \"similar\"  to  the  examples.  This  kind  of  retrieval  is  often  referred  to  as  K \nnearest-neighbor  retrieval.    It  is  easy  to  see  that  the  effectiveness  of  content-based \nimage  retrieval  systems  (CBIR)  strongly  depends  on  the  choice  of  the  set  of  visual \nfeatures, on the choice of the \"metric\" used to model the user's perception of image \nsimilarity, and on the choice of the image used to query the database [1]. Typically, \nif  we  allow  different  users  to  mark  the  images  retrieved  with  a  given  query  as \n\n\f\n                                                                                                   \n\n\nrelevant  or  non-relevant,  different  subsets  of  images  will  be  marked  as  relevant. \nAccordingly, the need for mechanisms to adapt the CBIR system response based on \nsome feedback from the user is widely recognized. \n\nIt  is  interesting  to  note  that  while  relevance  feedback  mechanisms  have  been  first \nintroduced in the information retrieval field [2], they are receiving more attention in \nthe  CBIR  field  (Huang).  The  vast  majority  of  relevance  feedback  techniques \nproposed in the literature is based on modifying the values of the search parameters \nas  to  better  represent  the  concept  the  user  bears  in  mind.  To  this  end,  search \nparameters  are  computed as a function of the relevance  values assigned by the user \nto  all  the  images  retrieved  so  far.  As  an  example,  relevance  feedback  is  often \nformulated  in  terms  of  the  modification  of  the  query  vector,  and/or  in  terms  of \nadaptive  similarity  metrics.  [3]-[7].  Recently,  pattern  classification  paradigms  such \nas  SVMs  have  been  proposed  [8].  Feedback  is  thus  used  to  model  the  concept  of \nrelevant images and adjust the search consequently.  \n\nConcept modeling may be difficult on account of the distribution of relevant images \nin  the  selected  feature  space.  \"Narrow  domain\"  image  databases  allows  extracting \ngood  features,  so  that  images  bearing  similar  concepts  belong  to  compact  clusters. \nOn  the  other  hand,  \"broad  domain\"  databases,  such  as  image  collection  used  by \ngraphic  professionals,  or  those  made  up  of  images  from  the  Internet,  are  more \ndifficult  to  subdivide  in  cluster  because  of  the  high  variability  of  concepts  [1].  In \nthese  cases,  it  is  worth  extracting  only  low  level,  non-specialized  features,  and \nimage retrieval is better formulated in terms of a search problem rather then concept \nmodeling.  \n\nThe present paper aims at offering an original  contribution in this direction.  Rather \nthen modeling the concept of \"relevance\" the user bears in mind, feedback is used to \nassign  each  image  of  the  database  a  relevance  score.  Such  a  score  depends  only \nfrom two dissimilarities (distances) computed against the images already marked by \nthe user: the dissimilarity from the set of relevant images, and the dissimilarity from \nthe set of non-relevant images. Despite its computational simplicity, this mechanism \nallows  outperforming  state-of-the-art  relevance  feedback  mechanisms  both  on \n\"narrow domain\" databases, and on \"broad domain\" databases. \n\nThis paper is organized as follows. Section 2 illustrates the idea behind the proposed \nmechanism  and  provides  the  basic  assumptions.  Section  3  details  the  proposed \nrelevance  feedback  mechanism.  Results  on  three  image  data  sets  are  presented  in \nSection  4,  where  performances  of  other  relevance  feedback  mechanisms  are \ncompared. Conclusions are drawn in Section 5. \n\n2  Instance-based relevance estimation \n\nThe  proposed  mechanism  has  been  inspired  by  classification  techniques  based  on \nthe \"nearest case\" [9]-[10]. Nearest-case theory provided the mechanism to compute \nthe  dissimilarity  of  each  image  from  the  sets  of  relevant  and  nonrelevant  images. \nThe ratio between the nearest relevant image and the nearest non-relevant image has \nbeen  used  to  compute  the  degree  of  relevance  of  each  image  of  the  database  [11]. \nThe  present  section  illustrates  the  rationale  behind  the  use  of  the  nearest-case \nparadigm. \n\nLet us assume that each image of the database has been represented by a number of \nlow-level  features,  and  that  a  (dis)similarity  measure  has  been  defined  so  that  the \nproximity between pairs of images represents some kind of \"conceptual\" similarity. \nIn other words, the chosen feature space and similarity metric is meaningful at least \nfor a restricted number of users.  \n\n\f\n                                                                                                   \n\n\nA  search  in  image  databases  is  usually  performed  by  retrieving  the  k  most  similar \nimages with respect  to a given query.  The dimension of k is usually small,  to avoid \ndisplaying  a large number of images at  a time.  Typical  values for k  are between 10 \nand 20. However, as the \"relevant\" images  that  the user  wishes  to retrieve  may not \nfit perfectly with  the similarity  metric designed for  the search engine,  the user may \nbe  interested  in  exploring  other  regions  of  the  feature  space.  To  this  end,  the  user \nmarks the subset of \"relevant\" images out of the k retrieved. Usually, such relevance \nfeedback  is  used  to  perform  a  new  k-nn  search  by  modifying  some  search \nparameters,  i.e.,  the  position  of  the  query  point,  the  similarity  metric,  and  other \ntuning parameters [1]-[7]. Recent works proposed the use of support vector machine \nto  learn  the  distribution  of  relevant  images  [8].  These  techniques  require  some \nassumption  about  the  general  form  of  the  distribution  of  relevant  images  in  the \nfeature space. As it is difficult to make any assumption about such a distribution for \nbroad domain databases, we propose to exploit  the information  about the relevance \nof the images retrieved so far in a nearest-neighbor fashion.  \n\nNearest-neighbor  techniques,  as  used  in  statistical  pattern  recognition,  case-based \nreasoning,  or  instance-based  learning,  are  effective  in  all  applications  where  it  is \ndifficult to produce a high-level generalization of a \"class\" of objects [9]-[10],[12]-\n[13].  Relevance  learning  in  content  base  image  retrieval  may  well  fit  into  this \ndefinition,  as  it  is  difficult  to  provide  a  general  model  that  can  be  adapted  to \nrepresent different concepts of similarity. In addition, the number of available cases \nmay be too small to estimate the optimal set of parameters for such a general model. \nOn the other hand,  it  can be  more  effective  to use  each \"relevant\" image  as well as \neach  \"non-relevant\"  image,  as  \"cases\"  or  \"instances\"  against  which  the  images  of \nthe  database  should  be  compared.  Consequently,  we  assume  that  an  image  is  as \nmuch  as  relevant  as  much  as  its  dissimilarity  from  the  nearest  relevant  image  is \nsmall. Analogously, an image is as much as non-relevant as much as its dissimilarity \nfrom the nearest non-relevant image is small. \n\n3  Relevance Score Computation \n\nAccording to previous section, each image of the database can be thus characterized \nby  a  \"degree  of  relevance\"  and  a  \"degree  of  non-relevance\"  according  to  the \ndissimilarities  from  the  nearest  relevant  image,  and  from  the  nearest  non-relevant \nimage,  respectively.  However,  it  should  be  noted  that  these  degrees  should  be \ntreated  differently  because  only  \"relevant\"  images  represent  a  \"concept\"  in  the \nuser's mind, while \"non-relevant\" images may represent a number of other concepts \ndifferent  from  user's  interest.  In  other  words,  while  it  is  meaningful  to  treat  the \ndegree  of  relevance  as  a  degree  of  membership  to  the  class  of  relevant  images,  the \nsame does not apply to  the degree of non-relevance. For this reason, we propose  to \nuse the \"degree of non-relevance\" to weight the \"degree of relevance\". \n\nLet us denote with R the subset of indexes j  {1,...,k} related to the set of relevant \nimages retrieved so far and the original query (that is relevant by default), and with \nNR  the  subset  of  indexes  j    (1,...,k}  related  to  the  set  of  non-relevant  images \nretrieved so far. For each image I of the database, according to the nearest neighbor \nrule,  let  us  compute  the  dissimilarity  from  the  nearest  image  in  R  and  the \ndissimilarity  from  the  nearest  image  in  NR.  Let  us  denote  these  dissimilarities  as \ndR(I)  and  dNR(I),  respectively.  The  value  of  dR(I)  can  be  clearly  used  to  measure \nthe  degree  of  relevance  of  image  I,  assuming  that  small  values  of  dR(I)  are  related \nto very relevant images. On the other hand, the hypothesis that image I is relevant to \nthe  user's  query  can  be  supported  by  a  high  value  of  dNR(I).  Accordingly,  we \ndefined the relevance score \n\n\f\n                                                                                                          \n\n\n                  !           ( )$'1\nrelevance(I) = 1 + dR I                                                                               (1) \n                  \"#       dN (I)%&\n\nThis  formulation  of  the  score  can  be  easily  explained  in  terms  of  a  distance-\nweighted 2-nn estimation of the posterior probability that image I is relevant. The 2 \nnearest  neighbors  are  made  up  of  the  nearest  relevant  image,  and  the  nearest  non-\nrelevant image,  while the weights  are  computed  as  the  inverse of  the distance from \nthe nearest neighbors. \n\nThe  relevance  score  computed  according  to  equation  (1)  is  then  used  to  rank  the \nimages and the first k are presented to the user. \n\n4  Experimental results \n\nIn order to test the proposed method and compare it with other methods described in \nthe  literature,  three  image  databases  have  been  used:  the  MIT  database,  a  database \ncontained in the UCI repository, and a subset of the Corel database. These databases \nare  currently  used  for  assessing  and  comparing  relevance  feedback  techniques \n[5],[7],[14]. \n\nThe     MIT             database         was         collected      by      the     MIT     Media     Lab \n(ftp://whitechapel.media.mit.edu/pub/VisTex).  This  database  contains  40  texture \nimages that have been manually classified into fifteen classes. Each of these images \nhas been subdivided into sixteen non-overlapping  images, obtaining  a data set with \n640  images.  Sixteen  Gabor  filters  were  used  to  characterise  these  images,  so  that \neach image is represented by a 16-dimensional feature vector [14]. \n\nThe        database                    extracted           from            the      UCI        repository \n(http://www.cs.uci.edu/mlearn/MLRepository.html)  consists  of  2,310  outdoor \nimages.  The  images  are  subdivided  into  seven  data  classes  (brickface,  sky,  foliage, \ncement, window, path, and grass). Nineteen  colour and spatial features  characterise \neach image. (Details are reported in the UCI web site). \n\nThe  database  extracted  from  the  Corel  collection  is  available  at  the  KDD-UCI \nrepository  (http://kdd.ics.uci.edu/databases/CorelFeatures/CorelFeatures.data.html). \nWe  used  a  subset  made  up  of  19513  images,  manually  subdivided  into  43  classes. \nFor each image, four sets of features were available at the web site. In this paper, we \nreport  the results related to the  Color  Moments (9 features),  and  the  Co-occurrence \nTexture (16 features) feature sets \n\nFor  each  dataset,  the  Euclidean  distance  metric  has  been  used.  A  linear \nnormalisation procedure has been performed, so that each feature takes values in the \nrange between 0 and 1.  \n\nFor  the  first  two  databases,  each  image  is  used  as  a  query,  while  for  the  Corel \ndatabase,  500  images  have  been  randomly  extracted  and  used  as  query,  so  that  all \nthe  43  classes  are  represented.  At  each  retrieval  iteration,  twenty  images  are \nreturned.  Relevance  feedback  is  performed  by  marking  images  belonging  to  the \nsame class of the query as relevant, and all other images as non-relevant. The user's \nquery  itself  is  included  in  the  set  of  relevant  images.  This  experimental  set  up \naffords an objective  comparison  among different methods,  and is  currently used by \nmany  researchers  [5],[7],[14].  Results  are  evaluated  in  term  of  the  retrieval \nprecision averaged over all the considered queries. The precision is measured as the \nfraction of relevant images contained in the 20 top retrieved images.  \n\n\f\n                                                                                                                                        \n\n\nAs the first two databases are of the \"narrow domain\" type, while the third is of the \n\"broad  domain\"  type,  this  experimental  set-up  allowed  a  thorough  testing  of  the \nproposed technique. \n\nFor  the  sake  of  comparison,  retrieval  performances  obtained  with  two  methods \nrecently  described  in  the  literature  are  also  reported:  MindReader  [3]  which \nmodifies the query vector and the similarity metric on account of features relevance, \nand Bayes QS (Bayesian Query Shifting) which is based on query reformulation [7]. \nThese two methods have been selected because they can be easily implemented, and \ntheir  performances  can  be  compared  to  those  provided  by  a  large  number  of \nrelevance  feedback  techniques  proposed  in  the  CBIR  literature  (see  for  example \nresults presented in [15]). It is worth noting that results presented in different papers \ncannot be directly compared to each other because they are not related to a common \nexperimental set-up. However, as they are related to the same data sets with similar \nexperimental set-up, a qualitative comparisons  let us conclude  that the performance \nof the two above techniques are quite close to other results in the literature. \n\n4 . 1   E x p e r i m e n t s   w i t h   t h e   M I T   d a t a b a s e  \n\nThis  database  can  be  considered  of  the  \"narrow  domain\"  type  as  it  contains  only \nimages  of  textures  of  40  different  types.  In  addition,  the  selected  feature  space  is \nvery suited to measure texture similarity. \n\nFigure 1 show the performances of the proposed relevance feedback mechanism and \nthose of the two techniques used for comparison.  \n\n                             100\n\n\n\n\n                             95\n\n\n\n                             90                                                                                     Relevance\n                                                                                                                    Score\n                                                                                                                    Bayes QS\n\n              % Precision    85                                                                                     MindReader\n\n\n\n                             80\n\n\n\n\n                             75\n                                    0 rf    1 rf    2 rf       3 rf      4 rf       5 rf    6 rf    7 rf    8 rf\n                                                                  Iter. Rel. Feedback\n                                                                                                                                   \n       Figure 1: Retrieval Performances for the MIT database in terms of average \n                                                            percentage retrieval precision. \n\n                                                                                    \n\nAfter  the  first  feedback  iteration  (1rf  in  the  graph),  each  relevance  feedback \nmechanism is able to improve the average precision attained in the first retrieval by \nmore  than  10%,  the  proposed  mechanism  performing  slightly  better  than \nMindReader.  This  is  a  desired  behaviour  as  a  user  typically  allows  few  iterations. \nHowever,  if  the  user  aims  to  better  refine  the  search  by  additional  feedback \niteration,  MindReader  and  Bayes  QS  are  not  able  to  exploit  the  additional \ninformation,  as  they  provide  no  improvements  after  the  second  feedback  iteration. \nOn  the  other  hand,  the  proposed  mechanism  provides  further  improvement  in \nprecision by increasing the number of iteration. These improvements are very small \n\n\f\n                                                                                                                                              \n\n\nbecause the first feedback already provides a high precision value, near to 95%.  \n\n4 . 2   E x p e r i m e n t s   w i t h   t h e   U C I   d a t a b a s e  \n\nThis  database  too  can  be  considered  of  the  \"narrow  domain\"  type  as  the  images \nclearly  belong  to  one  of  the  seven  data  classes,  and  features  have  been  extracted \naccordingly.  \n\n                          100\n\n\n\n\n                          98\n\n\n\n\n                          96                                                                                              Relevance\n                                                                                                                          Score\n                                                                                                                          Bayes QS\n\n           % Precision    94                                                                                              MindReader\n\n\n\n                          92\n\n\n\n\n                          90\n                                 0 rf    1 rf    2 rf      3 rf           4 rf            5 rf    6 rf    7 rf    8 rf\n                                                                   Iter. Rel. Feedback                                                   \n        Figure 2: Retrieval Performances for the UCI data set in terms of average \n                                                         percentage retrieval precision. \n\nFigure 2 show the performances attained on the UCI database. Retrieval precision is \nvery  high  after  the  first  extraction  with  no  feedback.  Nonetheless,  each  of  the \nconsidered mechanism is able to exploit relevance feedback,  Mindreader and Bayes \nQS  providing  a  6%  improvement,  while  the  proposed  mechanism  attains  a  8% \nimprovement. This example clearly shows the superiority of the proposed technique, \nas  it  attains  a  precision  of  99%  after  the  second  iteration.  Further  iterations  allow \nattaining  a  100%  precision.  On  the  other  hand,  Bayes  QS  also  exploits  further \nfeedback iteration attaining a precision of 98% after 7 iterations, while MindReader \ndoes not improve the precision attained after the first iteration. As the user typically \nallows  very  few  feedback  iterations,  the  proposed  mechanism  proved  to  be  very \nsuited for narrow domain databases as it allows attaining a precision close to 100%. \n\n4 . 3   E x p e r i m e n t s   w i t h   t h e   C o r e l   d a t a b a s e  \n\nFigures  3  and  4  show  the  performances  attained  on  two  feature  sets  extracted  from \nthe Corel database. This database is of the \"broad domain\" type as images represent \na  very  large  number  of  concepts,  and  the  selected  feature  sets  represent  conceptual \nsimilarity between pairs of images only partly.  \n\nReported  results  clearly  show  the  superiority  of  the  proposed  mechanism.  Let  us \nnote that the retrieval precision after the first k-nn search (0rf in the graphs) is quite \nsmall.  This  is  a  consequence  of  the  difficulty  of  selecting  a  good  feature  space  to \nrepresent conceptual similarity between pairs of images in a broad domain database. \nThis  difficulty  is  partially  overcome  by  using  MindReader  or  Bayes  QS  as  they \nallow  improving  the retrieval precision by 10% to 15%  according  to the number of \niteration allowed, and according to the selected feature space. Let us recall that both \nMindReader  and  Bayes  QS  perform  a  query  movement  in  order  to  perform  a  k-nn \n\n\f\n                                                                                                 \n\n\nquery  on  a  more  promising  region  of  the  feature  space.  On  the  other  hand,  the \nproposed mechanism based on ranking all the images of the database according to a \nrelevance score, not only provided higher precision after the first feedback, but also \nallow  to  improve  significantly  the  retrieval  precision  as  the  number  of  iteration  is \nincreased.  As  the initial precision  is quite small,  a user  may have  more willingness \nto  perform  further  iterations  as  the  proposed  mechanism  allows  retrieving  new \nrelevant images.  \n\n\n\n\n\n                                                                                          \n\nFigure 3: Retrieval Performances for the Corel data set (Color Moments feature set) \n                      in terms of average percentage retrieval precision \n\n\n\n\n\n                                                                                          \n   Figure 4: Retrieval Performances for the Corel data set (Co-occurrence Texture \n            feature set) in terms of average percentage retrieval precision. \n\n5  Conclusions \n\nIn  this  paper,  we  proposed  a  novel  relevance  feedback  technique  for  content-based \nimage retrieval. While  the vast  majority of relevance feedback mechanisms aims at \nmodeling  user's  concept  of  relevance  based  on  the  available  labeled  samples,  the \nproposed mechanism is based on ranking the images according to a relevance score \ndepending  on  the  dissimilarity  from  the  nearest  relevant  and  non-relevant  images. \n\n\f\n                                                                                                              \n\n\nThe rationale behind our choice is the same of case-based reasoning, instance-based \nlearning, and nearest-neighbor pattern classification. These techniques provide good \nperformances  when  the  number  of  available  training  samples  is  too  small  to  use \nstatistical techniques. This is the case of relevance feedback in CBIR, where the use \nof  classification  models  should  require  a  suitable  formulation  in  order  to  avoid  so-\ncalled \"small sample\" problems. \n\nReported  results  clearly  showed  the  superiority  of  the  proposed  mechanism \nespecially  when  large  databases  made  up  of  images  related  to  many  different \nconcepts  are  searched.  In  addition,  while  many  relevance  feedback  techniques \nrequire  the  tuning  of  some  parameters,  and  exhibit  high  computational  complexity, \nthe  proposed  mechanism  does  not  require  any  parameter  tuning,  and  exhibit  a  low \ncomputational  complexity,  as  a  number  of  techniques  are  available  to  speed-up \ndistance computations. \n\nR e f e r e n c e s  \n\n[1]  Smeulders  A.W.M.,  Worring  M.,  Santini  S.,  Gupta  A.,  Jain  R.:  Content-based  image \nretrieval  at  the  end  of  the  early  years.  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