Hashing has recently sparked a great revolution in cross-modal retrieval due to its low storage cost and high query speed. Most existing cross-modal hashing methods learn unified hash codes in a common Hamming space to represent all multi-modal data and make them intuitively comparable. However, such unified hash codes could inherently sacrifice their representation scalability because the data from different modalities may not have one-to-one correspondence and could be stored more efficiently by different hash codes of unequal lengths. To mitigate this problem, this paper proposes a generalized and flexible cross-modal hashing framework, termed Matrix Tri-Factorization Hashing (MTFH), which not only preserves the semantic similarity between the multi-modal data points, but also works seamlessly in various settings including paired or unpaired multi-modal data, and equal or varying hash length encoding scenarios. Specifically, MTFH exploits an efficient objective function to jointly learn the flexible modality-specific hash codes with different length settings, while simultaneously excavating two semantic correlation matrices to ensure heterogeneous data comparable. As a result, the derived hash codes are more semantically meaningful for various challenging cross-modal retrieval tasks. Extensive experiments evaluated on public benchmark datasets highlight the superiority of MTFH under various retrieval scenarios and show its very competitive performance with the state-of-the-arts.
Modality-dependent approaches mainly learn the unified hash codes to characterize the multi-modal data and simultaneously exploit the hashing mapping functions across different modalities, which can be generally categorized into unsupervised and supervised branches. Without semantic label supervision, unsupervised cross-modal hashing generally learns the hash codes from original feature space to Hamming space in an intuitive way. For instance, inter-media hashing (IMH) @cite_8 first exploits the intra-view and inter-view consistency in a common Hamming space, and then learns the hash mapping functions via linear regression to generate the hash codes. Collective matrix factorization hashing (CMFH) @cite_18 utilizes the joint matrix factorization to learn the unified hash codes for varying multi-modal data, while latent semantic sparse hashing (LSSH) @cite_42 produces a unified hash code via the latent semantic sparse representation. Although these methods are able to capture the semantic correlations between heterogeneous modalities, the hash codes learned in an unsupervised way are not discriminative enough and the corresponding cross-modal similarity is not well preserved in the Hamming space. Consequently, these approaches are restricted by the semantic gap that the high-level semantic hash description of a data sample differs from its low-level feature descriptor, which may result in a poor cross-modal retrieval performance.
@cite_18 @cite_42 @cite_8
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By transforming data into binary representation, i.e., Hashing, we can perform high-speed search with low storage cost, and thus, Hashing has collected increasing research interest in the recent years. Recently, how to generate Hashcode for multimodal data (e.g., images with textual tags, documents with photos, and so on) for large-scale cross-modality search (e.g., searching semantically related images in database for a document query) is an important research issue because of the fast growth of multimodal data in the Web. To address this issue, a novel framework for multimodal Hashing is proposed, termed as Collective Matrix Factorization Hashing (CMFH). The key idea of CMFH is to learn unified Hashcodes for different modalities of one multimodal instance in the shared latent semantic space in which different modalities can be effectively connected. Therefore, accurate cross-modality search is supported. Based on the general framework, we extend it in the unsupervised scenario where it tries to preserve the Euclidean structure, and in the supervised scenario where it fully exploits the label information of data. The corresponding theoretical analysis and the optimization algorithms are given. We conducted comprehensive experiments on three benchmark data sets for cross-modality search. The experimental results demonstrate that CMFH can significantly outperform several state-of-the-art cross-modality Hashing methods, which validates the effectiveness of the proposed CMFH. Similarity search methods based on hashing for effective and efficient cross-modal retrieval on large-scale multimedia databases with massive text and images have attracted considerable attention. The core problem of cross-modal hashing is how to effectively construct correlation between multi-modal representations which are heterogeneous intrinsically in the process of hash function learning. Analogous to Canonical Correlation Analysis (CCA), most existing cross-modal hash methods embed the heterogeneous data into a joint abstraction space by linear projections. However, these methods fail to bridge the semantic gap more effectively, and capture high-level latent semantic information which has been proved that it can lead to better performance for image retrieval. To address these challenges, in this paper, we propose a novel Latent Semantic Sparse Hashing (LSSH) to perform cross-modal similarity search by employing Sparse Coding and Matrix Factorization. In particular, LSSH uses Sparse Coding to capture the salient structures of images, and Matrix Factorization to learn the latent concepts from text. Then the learned latent semantic features are mapped to a joint abstraction space. Moreover, an iterative strategy is applied to derive optimal solutions efficiently, and it helps LSSH to explore the correlation between multi-modal representations efficiently and automatically. Finally, the unified hashcodes are generated through the high level abstraction space by quantization. Extensive experiments on three different datasets highlight the advantage of our method under cross-modal scenarios and show that LSSH significantly outperforms several state-of-the-art methods. In this paper, we present a new multimedia retrieval paradigm to innovate large-scale search of heterogenous multimedia data. It is able to return results of different media types from heterogeneous data sources, e.g., using a query image to retrieve relevant text documents or images from different data sources. This utilizes the widely available data from different sources and caters for the current users' demand of receiving a result list simultaneously containing multiple types of data to obtain a comprehensive understanding of the query's results. To enable large-scale inter-media retrieval, we propose a novel inter-media hashing (IMH) model to explore the correlations among multiple media types from different data sources and tackle the scalability issue. To this end, multimedia data from heterogeneous data sources are transformed into a common Hamming space, in which fast search can be easily implemented by XOR and bit-count operations. Furthermore, we integrate a linear regression model to learn hashing functions so that the hash codes for new data points can be efficiently generated. Experiments conducted on real-world large-scale multimedia datasets demonstrate the superiority of our proposed method compared with state-of-the-art techniques.