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In multiple dimensions, the conservation of momentum applies in each direction independently. Hence, to solve collisions in multiple dimensions, we should write down the momentum conservation in each direction separately. To help understand collisions in multiple dimensions, consider an example.
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    Area of Science:

    • Computer Science
    • Information Retrieval
    • Machine Learning

    Background:

    • Hash-based nearest neighbor search is widely used but suffers from performance degradation due to quantization loss and Hamming distance limitations.
    • Existing methods struggle with efficient large-scale visual search across multiple data sources or views.
    • Leveraging complementary information from diverse sources is crucial for boosting search performance.

    Purpose of the Study:

    • To propose a novel and generic approach for building multiple hash tables with multiple views.
    • To generate fine-grained ranking results at both bitwise and tablewise levels.
    • To address the limitations of existing hashing methods in large-scale multi-source visual search.

    Main Methods:

    • Developed a query-adaptive bitwise weighting strategy to mitigate quantization loss by exploiting hash function quality and their complements.
    • Constructed multiple hash tables for different data views, forming a joint index.
    • Implemented a query-specific rank fusion mechanism using graph diffusion for re-ranking results.

    Main Results:

    • Achieved significant performance gains on single-table search (up to 17.11%) and multiple-table search (up to 20.28%) compared to state-of-the-art methods.
    • Demonstrated effectiveness on comprehensive experiments involving image search across three well-known benchmarks.
    • The proposed method shows superior performance in handling large-scale visual search with multiple data sources.

    Conclusions:

    • The proposed method effectively alleviates quantization loss and enhances discriminative power in hash-based search.
    • The joint indexing of multiple hash tables and query-specific rank fusion significantly improves search accuracy.
    • This approach offers a robust solution for efficient and accurate large-scale multi-view visual search.