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Hierarchical Segmentation: Finding Changes in a Text Signal Malcolm Slaney and Dulce Ponceleon IBM Almaden Research Center
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Problem Statement Problem How do we browse video? Goal Create a table-of-contents Solution Look for topic changes in text
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TOC Example Chapter 1 Chapter 2
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Overview of This Talk Goal and approach Latent semantic indexing (LSI) Scale space Combination Results LSI Scale Space Filter Segment
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Approach Sentences -> Semantic Space Filter at multiple scales Look for large jumps Three subjects (loops) shown Loop 1: Polychromaticity Artifacts Loop 2: Emission Tomography Loop 3: Ultrasound Tomography
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Courtesy of Jianbo Shi (CMU) Building on Previous Work LSI and clustering Text tiling Change point analysis Segmentation Scale space
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Latent Semantic Indexing Collect histogram of word frequencies Use SVD to capture frequent combinations Orthogonal decomposition Represent in low-dimensional space Words Docs 10D
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LSI Within a Document Split into chunks Fixed size Sentences Compute histograms Perform SVD Look at results Sources “ Principles of Computerized Tomographic Imaging ” PBS News Hour
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LSI – 2D Projection Chapter 4 of Principles of Computerized Tomographic Imaging
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LSI – Self-similarity Measure similarity Cosine of angle between “ documents ” Plot all pairs of chunks/sentences Look for block diagonal Chapter 4 of Principles of Computerized Tomographic Imaging
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Scale-space Filtering What size are the features? Look at different scales! Continuous scale Used for Object Recognition Feature Detection
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Scale-space Movie Green line marks best high-level segmentation 10d semantic space Scale varies from 1 to 400 sentences
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Scale-space Segmentation Low pass filter signal Form image of scale vs. time Look for changes Track peaks of vector derivative across scale
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Scale-space Example Derivative as function of scale and sentence
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LSI and Scale Space Putting it all together Split document/transcript Perform LSI analysis Look at change in angle Perform scale-space segmentation Show tree
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Scale-Space Image Peaks in scale- space derivative Peaks traced to their origin
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Results – CT Comparison Scale-Space Book Headings
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Results – News Comparison Scale-Space Ground Truth
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Results – Autocorrelation Block sentences Measure correlation Positive Peak Anti- correlation
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Discussion Issues Evaluation (and ground truth) Lafferty ’ s measure Temporal properties Histogram/SVD chunking size Autocorrelation
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Computational Effort Histogram: O(N) SVD: O(N 3 ) Scale space: O(N 2 ) N < 1000 Number of sentences in a video or document is not large
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LSI Document Lookup Histogram documents Entropy term weighting Compute SVD Use first 10-100 vectors to model space Encode query as histogram Look for documents in similar direction
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LSI Example Collection of book titles Differential equations vs. algorithms and applications
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