Multidimensional Projection Applied to Textual Search Results Visualization

Erick Gomez-Nieto Luis Gustavo Nonato ICMC/SME ICMC/SME Universidade de São Paulo Universidade de São Paulo São Carlos, SP, Brazil São Carlos, SP, Brazil Email: [email protected] Email: [email protected]

Abstract—Internet users are very familiar with the results of contentwise. For example, if a user queries Google’s search a search query displayed as a ranked list of snippets. Each engine on the keywords “jaguar features”, the first returned textual snippet shows a content summary of the referred web page lists snippets on at least four distinct subjects, namely, page and a link to it. This display has many advantages, e.g., it affords easy navigation and is straightforward to interpret. the animal, the car brand, a fan club of old Jaguar cars, and Nonetheless, any user of search engines could possibly report a video game console. some experience of disappointment with this metaphor. Indeed, Information visualization tools offer users more flexible it has limitations in particular situations, as it fails to provide mechanisms for inspecting and navigating the result of tex- an overview of the document collection retrieved. Several search tual queries. Some existing methods preserve the snippet list tasks would be easier if users were shown an overview of the returned documents, organized so as to reflect how related paradigm while enhancing it with visual resources such as they are, content-wise. We propose a visualization technique to color glyphs and tag clouds, attempting to convey more infor- display the results of web queries aimed at overcoming such mation on the contents of the returned documents. Although limitations. It combines the neighborhood preservation capabil- interesting and potentially useful, those visual resources reveal ity of multidimensional projections with the familiar snippet- no information on the structure of document neighborhoods, based representation by employing a multidimensional projection to derive two-dimensional layouts of the query search results that is, which documents share similar content and how many that preserve text similarity relations, or neighborhoods. If the different subjects appear in the search results. Other classes snippets are displayed directly according to the derived layout of methods depart from the ranked list paradigm and come they will overlap considerably, producing a poor visualization. up with alternatives such as thumbnails and dimensionality We overcome this problem by defining an energy functional reduction, which favor better understanding of document con- that considers both the overlapping amongst snippets and the preservation of the neighborhood structure as given in the tent and the identification of groups of similar documents. projected layout. The resulting visualization conveys both a global However, those methods tend to be visually more intricate, de- view of the query results and visual groupings that reflect related manding from users greater effort to locate and inspect specific results∗. documents. Moreover, current methods process the full content Keywords-Information Visualization; Visual Data Mining; Mul- of each document a priori to create a visualization, therefore tidimensional Projection; Web Search Visualization incurring in an added computational cost that prevents their easy plugging into standard search engines. I.INTRODUCTION The technique introduced in this work is effective for visu- alizing textual query results whilst overcoming the drawbacks Searching for information on the Internet is routine task to just discussed. It exploits the intrinsic neighborhood preserva- millions of users. The typical procedure consists in providing tion nature of multidimensional projections to obtain a snippet- textual queries to a search engine, which returns a ranked list based two-dimensional layout that preserves the simplicity and of textual snippets each containing a content summary and a usability of textual snippets while emphasizing content related link to the referred document (or web page). A ranked list groups of documents. The unique combination of a similarity- of snippets is quite simple, straightforward to interpret, and it based layout with the textual snippets brings out a powerful turns out to be effective in focused search tasks that require mechanism to organize and present textual search results that locating a particular web page or document [1]. Nonetheless, retains the familiar snippet paradigm, thus avoiding complex it also has limitations likely to hamper user experience when interfaces and visual metaphors. Moreover, the visualization exploring and analyzing search results in other scenarios. is created only from the information in the textual snippets, In fact, a ranked list fails to provide an overview of the rendering the proposed method computationally efficient and collection of retrieved documents, making it difficult and easy to plug into conventional search engines. time consuming to figure out how documents are related The proposed method relies on an energy functional that ∗M.Sc. dissertation at ICMC/USP. Available at http://sites.google.com/site/ considers both the overlapping between snippets and the erickgomeznieto/publications (In Portuguese) neighborhood structure of returned documents. The minimum energy of such functional provides a neighborhood preserving to avoid overlapping while preserving data neighborhoods as two-dimensional arrangement of the textual snippets with computed by the projection. The optimization is driven by an minimum overlap. Snippet size can change according to prop- energy functional, detailed next. erties such as document rank and colors can be employed to highlight clusters of similar documents. A. The Energy Functional Contributions: The energy functional E comprises two components, one • 2D Snippet Layout: A new method, which we call Proj- that takes into account the overlap of snippets, denoted by Snippet, to display the results of textual queries that inte- EO, and a second component related to the neighborhood grates textual snippets and a multidimensional projection relations resulting from the projection step, denoted by EN. layout into a simple and intuitive visualization. In mathematical terms, the energy E is written as: • Energy Functional: The ProjSnippet layout relies on a E = (1 − α)EO + αEN (1) new overlap removal energy functional that considers both the neighborhood relations between snippets and their where the parameter α ∈ [0,1] balances the relative contribu- overlapping in the visual space. tions of both EO and EN in the total energy. Energy E, as well as EO and EN, are functions of the II.PROJSNIPPET coordinates of the bottom-left corners of the rectangles embed- The proposed technique comprises three steps as shown ding the snippets, which initially correspond to the projected in the pipeline in Fig. 1: pre-processing of search results, coordinates of the high-dimensional snippet vectors. multidimensional projection, and optimization. In the first step Overlapping Energy Aiming at enhancing overall visibility each entry returned from a textual query is processed and and readability of the visualization, the energy EO must be its term frequency vector extracted (see [2] for details on defined so as to minimize the overlap/intersection of nearby term frequency extraction). Stemming and stopword removal snippets. This is achieved with a function that measures the are applied and Luhn’s lower and upper cuts established distance between the left corners of the rectangles. This func- to compute the tf-idf vector representation of each snippet. tion is smooth, attains its minimum value when no overlapping Only the summary texts contained in the hits are processed, takes place and takes higher values when rectangle overlap is rather than the full content of the referred documents or web greater. Smoothness is an important property here, as it allows pages, which renders the visualization algorithm fast. This is a resorting to simple and efficient optimization methods which important requirement, e.g. for interactivity and for plugging are mandatory for quick generation of the final visualization. the solution into standard browsers. Let ~x,~y ∈ Rn be the coordinate vectors of the bottom left Each term frequency vector may be handled as a point in corner of each rectangle and ~v,~h ∈ Rn be vectors whose a high-dimensional space that can be mapped to the visual components are the vertical and horizontal dimensions of each space with a multidimensional projection technique. Albeit our rectangle. We first define two auxiliary functions to simplify current implementation adopts the Least Squares Projection the presentation: ( (LSP) [3] – due to its good accuracy in distance preservation x x ≥ 0 and low computational cost – any projection technique with [x]+ = 0 x < 0 similar properties might be employed (see [4] for an up-to- date survey of efficient multidimensional projection methods). and  The projection preserves much of the neighborhood structure 1 [h2 − (x − x )2]2 x ≥ x  h4 j i j + i j of the original data, ensuring that similar instances are placed O (~x,~h) = j . i, j 1 2 2 2  4 [hi − (xi − x j) ]+ xi < x j close to each other in the visual space. hi The following step is to embed the content of each snippet where x ,h and x ,h denote, respectively, the x-coordinates within a rectangle whose bottom left corner is placed in the i i j j of the bottom left corner and the lengths of rectangles i and snippet’s projected position. A rectangle’s height and width j. Notice that O (~x,~h) is zero when there is no horizontal are settled according to the rank of its corresponding snippet i, j overlapping of rectangles i and j and attains its maximum in the retrieved document list, so that higher ranked snippets value of 1 when the x-coordinate of the left corners of are assigned larger rectangles. The k-means++ algorithm is both rectangles coincide. Function O works similarly if y- applied to the projected layout to identify clusters of similar i, j coordinates and heights are used as arguments, i.e., O (~y,~v). documents (taking as metric the Euclidean distance in the i, j visual space), and rectangles in the same cluster may be From definitions above we set EO as: assigned the same color to highlight groups. n n 2 h ~ i A major drawback at this stage of the pipeline is that rect- EO = ∑ ∑ Oi, j(~x,h)Oi, j(~y,~v) . (2) n(n + 1) i=1 j=i+1 angles enclosing the snippets overlap considerably, impairing identification of individual entries and the perception of the where n is the number of projected points. The definition of document neighborhood structure. The final step (rightmost Oi, j clearly guarantees that EO is continuously differentiable box in Fig. 1) optimizes the placement of the snippets so as and it ranges in the interval [0,1]. Fig. 1. Pipeline to generate the neighborhood-preserving snippet visualization. Snippet textual content is processed and represented as high-dimensional data points (left). The high-dimensional data is mapped to the visual space and snippets are embedded into rectangles (middle). Optimization is applied to avoid overlap while preserving neighborhoods.

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−1 The normalization factor 2 δx 2 + δy 2 is necessary gles from overlapping. However, this minimization process is to ensure that the range of EN is in the same order of magni- likely to spoil the neighborhood structure established by the tude as EO, so that both terms play similar roles (controlled multidimensional projection, placing similar snippets far apart by the parameter α) in the total energy E. in the final visualization. Fig. 2 illustrates the result of performing the optimization The energy term EN is introduced to balance the effect of the on the projected snippets shown in Fig. 2a. Fig. 2b shows the overlapping energy during optimization. In practice, the energy outcome of the optimization procedure with both energy terms EN is defined from a k-nearest-neighbor graph G constructed equally balanced. from the projected “snippet-vectors” (our implementation uses k = 10). In order to ensure G is connected, any disconnected B. Computational Aspects and Implementation Details components resulting from constructing the k-nearest-neighbor Bounds related to the sizes of the visualization windows are graph are connected by adding to G the shortest edge between imposed as constraints for the minimization of the energy (1). This is necessary since for a sufficiently large positive number clusters affected by the collapse can be moved horizontally or K, the coordinate vectors ~x = K~x0 and ~y = K~y0,(w = K) vertically. If only part of a cluster can be moved no collapsing correspond to a global minimizer of E, as no overlap should is performed. Such a simple carving mechanism runs quickly happen and differentials are preserved by properly scaling the and it obviously preserves the clusters, resulting in pleasant layout. However, the minimal solution given by scaling is layouts (see Fig. 3b). There are more sophisticated carving prone to spread the snippets far apart, resulting in unpleasant strategies able to further remove white space, but they are and useless visualizations. computationally costly and tend to mess neighborhoods. Therefore, denoting the horizontal and vertical bounds of III.RESULTS,COMPARISONS AND EVALUATION the visualization window by xmin,xmax and ymin,ymax the mini- mization problem becomes: In the following we present examples illustrating the Proj- Snippet visualization and its capability to globally convey min (1 − α)E + αE O N the results of a web query while emphasizing related hits s.t.: xmin ≤ xi ≤ xmax − hi, i = 1,...,n (7) in a meaningful way. A k-means++ clustering has been ymin ≤ yi ≤ ymax − vi, i = 1,...,n. applied just to color the rectangles to visually highlight groups which ensures that all rectangles lie within the visualization of similar snippets and provide some visual segregation to window, therefore preventing an exaggerate scaling effect. facilitate user inspection. The optimization procedure has been The minimization is accomplished by a globally convergent performed with α = 0.3 (our default value). local optimization method, namely the Method of Moving Asymptotes, available from the NLopt library.

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Google view and ProjSnippet view of the results of a query with [5]Batman: Hush Jeph Loeb Language English DC Comics Book Year 2009 http://www.amazon.com/Batman-Hush-Jeph- Loeb/dp/1401223176%3FSubscriptionId%3DAKIAJKD5R3RQUJGFTW6Q%26tag %3Dsnippetquest-20%26linkCode%3Dxm2%26camp%3D2025%26creative%3D1 65953%26creativeASIN%3D1401223176 terms “jaguar features”. (a) Rectilinear grid to perform carving. The first example illustrates a visualization displaying the

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Looking at the Fig. 3. Reducing white space with a carving mechanism. snippets in the left area, one identifies that most snippets in the blue cluster contain general references to the car brand, Reducing White Space In order to reduce white space in whereas the each of the three other clusters refer mostly to the final layout we implemented a simplified version of the a specific Jaguar model, namely most yellow snippets refer seam carving strategy [5]. The idea is to partition the snippet- to the XK model, cyan snippets refer to XJ and red to XF free regions of the visualization window into a rectilinear grid, models. There are some noticeable exceptions, e.g., a yellow as illustrated in Fig. 3a. Seams are then created by collapsing snippet refers to the XF model and a blue one refers to rectangular grid cells from left to right and then from top to the XJ model. Still, overall the final layout does a very down. A cell is collapsed if and only if all the snippets in the good job of depicting a global view of the search hits, as far grouping/separating similar/dissimilar results is concerned. Notice that it is pretty difficult to handle such a variety topics and subtopics in Google’s list-based view, which indeed brings only cars, animals and the game as the topics in the first page. Users can interact with the visualizations to navigate directly from the snippets, e.g., to further inspect page contents, as afforded by the conventional list-based metaphor. The effect of varying the parameter α (in equation (1)) is Fig. 8. Comparison of overlap removal methods regarding the four metrics simultaneously. illustrated in Fig. 5, which shows optimized layouts (without applying the carving mechanism) of the results from a query on terms “wave applications” posed to Bing’s search engine. were created artificially as four dimensional vectors contain- In Fig. 5a only the overlapping energy has been considered ing the better, average and worst results computed taking (α = 0). There is no overlapping, but neighborhoods are account all methods. The multidimensional projection method clearly not preserved and snippets are far too spread. Inspect- LAMP [4] was used to project the four dimensional data to the ing Fig. 5(b, c, d) one observes how similar snippets get more visual space. The technique closer to “best” is the one that, tightly connect as α values increase. Notice that even with on average, has shown the best performance, relative to all large values of α (α = 0.8 in Fig. 5d) the snippets do not metrics. One can clearly sees that ProjSnippet is the technique overlap unduly, showing the robustness of ProjSnippet. closer to the best result.

A. Comparing with Overlapping Removal Heuristics IV. CONCLUSION In order to assess the effectiveness of the overlap removal We introduced ProjSnippet, a novel technique to visualize mechanism built into ProjSnippet we have compared it with the collection of textual snippets returned from a web query. four well-known heuristics that avoid overlapping while still The method builds intuitive and meaningful layouts that op- preserving the semantic relations as much as possible, namely, timize the placement of snippets by employing an innovative VPSC, PRISM, Voronoi-based and RWordle-C (a brief review energy functional that considers both overlapping removal and of these can be inspected in [6]), regarding the following preservation of neighborhood structures. metrics: We showed results illustrating how the ProjSnippet layouts Euclidean distance: this metric measures how much the boxes convey a global view of the results from a query while allow- move during the overlap removal process. Less movement is ing for identifying similar content through a clustering mech- preferred, since the original configuration is better preserved. anism. Since ProjSnippet relies only on information extracted Layout similarity: this metric attempts to quantify how much from the textual snippets, it can be plugged into search engines neighborhood structures are affected by the overlap removal in a straightforward manner, with a modest impact on the mechanism and it is derived from the Frobenius metric. computational times. The unique combination of simplicity, low computational cost, and flexibility renders ProjSnippet an Size increase: determines the relative changes in size as well attractive alternative for visualizing web queries results. We as the compactness of the representation. are currently investigating interactive mechanisms to enable a Neighborhood preservation: it computes the average percent- free navigation in the snippet-based layout. age of preservation of the k-nearest neighbors of each box in the final layout. REFERENCES Fig. 6 shows the layouts produced by the algorithms when [1] J. Teevan, E. Cutrell, D. Fisher, S. M. Drucker, G. Ramos, P. AndrÃl’, applied to some different data sets (extracted from Amazon, and C. Hu, “Visual snippets: summarizing web pages for search and revisitation.” in CHI’09, 2009, pp. 2023–2032. Google and Bing web search engines). One notices that [2] G. Salton, “Developments in automatic text retrieval,” Science, vol. 253, ProjSnippet achieves more pleasing visual results, as compared pp. 974–980, 1991. with existing heuristics. On a first glance, its layouts resemble [3] F. Paulovich, L. Nonato, R. Minghim, and H. Levkowitz, “Least square projection: A fast high-precision multidimensional projection technique those obtained by RWordle-C, but ProjSnippet is more effec- and its application to document mapping,” Visualization and Computer tive to maintain similar elements grouped together (notice, for Graphics, IEEE Transactions on, vol. 14, no. 3, pp. 564 –575, may-june example, the red group for “Jaguar Features”). 2008. [4] P. Joia, D. Coimbra, J. Cuminato, F. Paulovich, and L. Nonato, “Local Fig. 7 summarizes the quantitative results of the above met- affine multidimensional projection,” IEEE Transactions on Visualization rics. Notice that ProjSnippet performed quite well, resulting in and Computer Graphics, vol. 17, pp. 2563–2571, Dec. 2011. [Online]. better values than the other methods, in most cases. Available: http://dx.doi.org/10.1109/TVCG.2011.220 [5] Y. Wu, T. Provan, F. Wei, S. Liu, and K.-L. Ma, “Semantic-preserving Fig. 8 shows a plot that considers all metrics simultaneously. word clouds by seam carving,” Comput. Graph. Forum, vol. 30, no. 3, Each overlap removal technique has been represented as pp. 741–750, 2011. a four-dimensinal vector (E ,σ ,S ,k ), where E ,σ ,S ,k [6] H. Strobelt, M. Spicker, A. Stoffel, D. Keim, and O. Deussen, a a a a a a a a “Rolled-out Wordles: A Heuristic Method for Overlap Removal of are the average values of the metrics E,σ,S, and k-nearest 2D Data Representatives,” Computer Graphics Forum, vol. 31, no. 3, neighbors computed for each technique, over all data sets. pp. 1135–1144, 2012. [Online]. 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Wave Business Applications has a proven track record of delivering our own Applications 2004 IUPUI, all rights reserved. Written by Gregor Novak and uide+for+Broadband+Traveling+Wave+Tube+Application http://www.intechopen.com/books/wave-propagation-in-materials-for-modern- CST's simulation software provides accurate 3D electromagnetic EDA solutions [54]Nonlinear Waves & Soliton Applications integrated web-based business solutions. We w... Andrew Gavrin, Indiana University-Purdue Unive... [45]Wave Business Applications applications CST's simulation software provides accurate 3D electromagnetic EDA solutions Nonlinear waves phenomena can be observed when we solved nonlinear http://www.wave-ba.co.uk/ http://wps.prenhall.com/esm_fishbane_physics_3/18/4713/1206720.cw/-/12067 Wave Business Applications has a proven track record of delivering our own for the numerical solution of Maxwell's Equ... evolution equations liked Korteweg-de Vries (KdV), Kadomtsev-Petviashvili 51/index.html integrated web-based business solutions. We w... [13]Water Wave ? Applications, Twitter - Canvas Demos for the numerical solution of Maxwell's Equ... (KP), Sin [21]Affiliate Aggregator Applications http://www.wave-ba.co.uk/ [5][Server Application] Bereghost's Wave 2 Application - YouTube https://www.cst.com/Content/Applications/Article/Microfabricated+Folded+Waveg http://www.shvoong.com/exact-sciences/647197-nonlinear-waves-soliton- Your entire business - not just payments - can be improved with Wave Crest. Canvas Demos looks at Water Wave Applications, Twitter. Tweets bubble to the [43]Application Notes for Twisted Pair Solutions WAVE with Avaya ... https://www.cst.com/Content/Applications/Article/Microfabricated+Folded+Waveg [49]Wave Properties & Applications of Wave Energy We take care of it all for you - we solve yo... PERSONAL FACTS STATED IN VID (some not stated) - 14 years old - High uide+for+Broadband+Traveling+Wave+Tube+Application Application Notes for Twisted Pair Solutions WAVE with Avaya Communication surface in this bubble themed demo [45]Wave Business Applications Los Altos Physics Chapter 16 & 17 Objectives and Assignments By ... http://www.wavecrest.gi/applications/affiliate-aggregators.html uide+for+Broadband+Traveling+Wave+Tube+Application Manager using H.323 IP Trunks Wave Business Applications has a proven track record of delivering our own http://www.laphysics.com/physics/files/workbooks/waves/waves.pdf https://devconnect.avaya.com/public/flink.do?f=/public/download/dyn/Wave- http://www.canvasdemos.com/2010/03/22/water-wave/ school - A big fan in the music arts - Very friendl... integrated web-based business solutions. We w... [57]~xtracorporeal Shock Wave Therapy: Clinical Applications and ... [43]Application Notes for Twisted Pair Solutions WAVE with Avaya ... 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[33]Waves Applications 2004 IUPUI, all rights reserved. Written by Gregor Novak and Andrew Gavrin, Indiana University-Purdue Unive... http://wps.prenhall.com/esm_fishbane_physics_3/18/4713/1206720.cw/-/12067 51/index.html

[57]~xtracorporeal Shock Wave Therapy: Clinical Applications and ... ~xtracorporeal Shock Wave Therapy: Clinical Applications and Regulation Scott McClure, DVM, PhD, DACVS, and Thomas Weinb... http://equineshockwave.com/pdfs/appsregulation.pdf

[49]Wave Properties & Applications of Wave Energy Los Altos Physics Chapter 16 & 17 Objectives and Assignments By ... http://www.laphysics.com/physics/files/workbooks/waves/waves.pdf (a) α = 0.0 (b) α = 0.2 (c) α = 0.5 (d) α = 0.8 Fig. 5. Effect of varying parameter α.

Fig. 6. Layouts produced by ProjSnippet, VPSC, PRISM, Voronoi-based, and RWordle-C for five distinct data sets.

0,512

1,024 0,256 1,024 0,512 0,512 1,00 0,128 0,95

0,256 0,256

) )

k 0,90

σ )

E 0,85 0,128 0,128 0,064

) 0,80 S 0,75 0,064 0,064 0,70 0,032 0,032 0,65 0,032

0,60 Layout Similarity ( Similarity Layout

0,016 0,55 Size Increase ( Increase Size 0,016 0,016 0,50 Euclidean Distance ( Distance Euclidean 0,008

Neighborhood Preservation ( Preservation Neighborhood 0,45 0,008 0,004 0,40 0,008 0,35 0,004 0,002 10% 20% 30% 40% 50% Percentage of Neighbors 0,002 0,001 0,004 PRISM Voronoi VPSC RWordle-C ProjSnippet ProjSnippet PRISM Voronoi VPSC RWordle-C ProjSnippet ProjSnippet PRISM Voronoi VPSC RWordle-C ProjSnippet ProjSnippet PRISM Voronoi VPSC RWordle-C ProjSnippet ProjSnippet+Carving +Carving +Carving +Carving

Fig. 7. Comparing ProjSnippet, VPSC, PRISM, Voronoi-based, and RWordle-C considering metrics Euclidean distance (a), Layout similarity (b), Size increasing, and Neighborhood preservation (d).