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    Hidden Markov Models (HMM)

    Hidden Markov Models (HMMs) are powerful statistical tools for modeling sequential data with hidden states, widely used in various applications such as speech recognition, bioinformatics, and finance.

    Hidden Markov Models are a type of statistical model that can be used to analyze sequential data, where the underlying process is assumed to be a Markov process with hidden states. These models have been applied in various fields, including cybersecurity, disease progression modeling, and time series classification. HMMs can be extended and combined with other techniques, such as Gaussian Mixture Models (GMMs), neural networks, and Fuzzy Cognitive Maps, to improve their performance and adaptability.

    Recent research in the field of HMMs has focused on addressing challenges such as improving classification accuracy, reducing model complexity, and incorporating additional information into the models. For example, GMM-HMMs have been used for malware classification, showing comparable results to discrete HMMs for opcode features and significant improvements for entropy-based features. Another study proposed a second-order Hidden Markov Model using belief functions, extending the first-order HMMs to improve pattern recognition capabilities.

    In the context of time series classification, HMMs have been compared with Fuzzy Cognitive Maps, with results suggesting that the choice between the two should be dataset-dependent. Additionally, parsimonious HMMs have been developed for offline handwritten Chinese text recognition, achieving a reduction in character error rate, model size, and decoding time compared to conventional HMMs.

    Practical applications of HMMs include malware detection and classification, where GMM-HMMs have been used to analyze opcode sequences and entropy-based sequences for improved classification results. In the medical field, HMMs have been employed for sepsis detection in preterm infants, demonstrating their potential over other methods such as logistic regression and support vector machines. Furthermore, HMMs have been applied in finance for time series analysis and prediction, offering valuable insights for decision-making processes.

    One company case study involves the use of HMMs in speech recognition technology. Companies like Nuance Communications have employed HMMs to model the underlying structure of speech signals, enabling the development of more accurate and efficient speech recognition systems.

    In conclusion, Hidden Markov Models are versatile and powerful tools for modeling sequential data with hidden states. Their applications span a wide range of fields, and ongoing research continues to improve their performance and adaptability. By connecting HMMs with broader theories and techniques, researchers and practitioners can unlock new possibilities and insights in various domains.

    What is the difference between Markov model and HMM?

    A Markov model is a statistical model that describes a sequence of possible events, where the probability of each event depends only on the state of the previous event. In other words, it assumes that the future state is independent of the past states, given the current state. A Hidden Markov Model (HMM) is an extension of the Markov model, where the underlying process is a Markov process with hidden (unobservable) states. In an HMM, we can only observe the output generated by the hidden states, but not the hidden states themselves. This adds an extra layer of complexity to the model, making it suitable for modeling sequential data with hidden structures.

    What is HMM used for?

    Hidden Markov Models (HMMs) are used for modeling sequential data with hidden states. They are widely applied in various fields, such as speech recognition, bioinformatics, finance, and cybersecurity. HMMs can be used for tasks like pattern recognition, time series analysis, and classification. They are particularly useful when the underlying process generating the data is assumed to be a Markov process with hidden states, and the goal is to infer the hidden states or predict future observations based on the observed data.

    What are the applications of hidden Markov model HMM?

    Hidden Markov Models have numerous applications across different domains, including: 1. Speech recognition: HMMs are used to model the underlying structure of speech signals, enabling the development of accurate and efficient speech recognition systems. 2. Bioinformatics: HMMs are employed for gene prediction, protein folding, and sequence alignment in computational biology. 3. Finance: HMMs are applied in time series analysis and prediction, offering valuable insights for decision-making processes in financial markets. 4. Cybersecurity: HMMs are used for malware detection and classification, analyzing opcode sequences and entropy-based sequences for improved classification results. 5. Medical field: HMMs have been employed for sepsis detection in preterm infants and disease progression modeling.

    What is an example of a HMM model?

    An example of a Hidden Markov Model is the application of HMMs in speech recognition. In this case, the hidden states represent the phonemes (basic units of sound) in a spoken language, and the observed data are the acoustic signals generated by the speaker. The HMM is trained to learn the transition probabilities between phonemes and the emission probabilities of the acoustic signals given the phonemes. Once trained, the HMM can be used to decode the most likely sequence of phonemes given an observed sequence of acoustic signals, enabling the conversion of speech into text.

    How do you train a Hidden Markov Model?

    To train a Hidden Markov Model, you need to estimate the model parameters, which include the initial state probabilities, the state transition probabilities, and the observation emission probabilities. There are several algorithms for training HMMs, with the most common one being the Expectation-Maximization (EM) algorithm, also known as the Baum-Welch algorithm. The EM algorithm is an iterative method that alternates between estimating the hidden state sequence (E-step) and updating the model parameters (M-step) until convergence.

    What are the limitations of Hidden Markov Models?

    Hidden Markov Models have some limitations, including: 1. The Markov assumption: HMMs assume that the future state depends only on the current state, which may not always be true in real-world applications. 2. Scalability: HMMs can become computationally expensive when dealing with large state spaces or long sequences. 3. Model complexity: HMMs can be difficult to interpret and understand due to the hidden nature of the states. 4. Local optima: The training algorithms, such as the EM algorithm, can get stuck in local optima, leading to suboptimal model parameters. Despite these limitations, HMMs remain a powerful tool for modeling sequential data with hidden states, and ongoing research continues to address these challenges and improve their performance and adaptability.

    Hidden Markov Models (HMM) Further Reading

    1.Malware Classification with GMM-HMM Models http://arxiv.org/abs/2103.02753v1 Jing Zhao, Samanvitha Basole, Mark Stamp
    2.Second-Order Belief Hidden Markov Models http://arxiv.org/abs/1501.05613v1 Jungyeul Park, Mouna Chebbah, Siwar Jendoubi, Arnaud Martin
    3.Disentangled Sticky Hierarchical Dirichlet Process Hidden Markov Model http://arxiv.org/abs/2004.03019v2 Ding Zhou, Yuanjun Gao, Liam Paninski
    4.Hidden Markov Models for sepsis detection in preterm infants http://arxiv.org/abs/1910.13904v1 Antoine Honore, Dong Liu, David Forsberg, Karen Coste, Eric Herlenius, Saikat Chatterjee, Mikael Skoglund
    5.A New Algorithm for Hidden Markov Models Learning Problem http://arxiv.org/abs/2102.07112v1 Taha Mansouri, Mohamadreza Sadeghimoghadam, Iman Ghasemian Sahebi
    6.Hidden Markov models as recurrent neural networks: an application to Alzheimer's disease http://arxiv.org/abs/2006.03151v4 Matt Baucum, Anahita Khojandi, Theodore Papamarkou
    7.Minimal Realization Problems for Hidden Markov Models http://arxiv.org/abs/1411.3698v2 Qingqing Huang, Rong Ge, Sham Kakade, Munther Dahleh
    8.Fuzzy Cognitive Maps and Hidden Markov Models: Comparative Analysis of Efficiency within the Confines of the Time Series Classification Task http://arxiv.org/abs/2204.13455v1 Jakub Michał Bilski, Agnieszka Jastrzębska
    9.Parsimonious HMMs for Offline Handwritten Chinese Text Recognition http://arxiv.org/abs/1808.04138v1 Wenchao Wang, Jun Du, Zi-Rui Wang
    10.Learning Parametric-Output HMMs with Two Aliased States http://arxiv.org/abs/1502.02158v1 Roi Weiss, Boaz Nadler

    Explore More Machine Learning Terms & Concepts

    Heterogeneous Learning

    Heterogeneous learning is a machine learning approach that deals with diverse and complex data from various sources, modalities, and formats, enabling more accurate and robust models for real-world applications. In the world of data, heterogeneity is a common challenge. Data can come from different sources, have varying quality, and exhibit diverse properties such as modalities, views, or resources. Heterogeneous learning aims to address these challenges by developing models that can handle and learn from such diverse data. This approach has been applied in various domains, including federated learning, multi-robot reinforcement learning, and graph neural networks. Recent research in heterogeneous learning has focused on addressing the challenges posed by data heterogeneity. For example, in federated learning, researchers have proposed methods to handle data space, statistical, system, and model heterogeneity. In multi-robot reinforcement learning, new frameworks have been developed to accommodate policy heterogeneity and enable decentralized training in partially observable environments. In graph neural networks, contrastive learning mechanisms have been adopted to deal with the complex heterogeneity of large-scale heterogeneous graphs. Practical applications of heterogeneous learning can be found in various fields. In federated learning, it can help protect data privacy and assemble isolated data silos without breaching privacy and security. In multi-robot reinforcement learning, it can enable robots with different physical and behavioral traits to cooperate more effectively. In graph neural networks, it can improve the performance of tasks such as node classification, node clustering, and link prediction. One company case study that showcases the benefits of heterogeneous learning is the application of graph neural networks in large-scale academic heterogeneous graph datasets. By using a relation-aware heterogeneous graph neural network with contrastive learning, the company was able to achieve better performance over state-of-the-art models. In conclusion, heterogeneous learning is a promising approach to address the challenges posed by diverse and complex data. By developing models that can handle and learn from heterogeneous data, machine learning experts can create more accurate and robust models for real-world applications, ultimately benefiting various industries and domains.

    Hierarchical Clustering

    Hierarchical clustering is a machine learning technique that recursively partitions data into clusters at increasingly finer levels of granularity, revealing the underlying structure and relationships within the data. Hierarchical clustering is widely used in various fields, such as medical research and network analysis, due to its ability to handle large and complex datasets. The technique can be divided into two main approaches: agglomerative (bottom-up) and divisive (top-down). Agglomerative methods start with each data point as a separate cluster and iteratively merge the closest clusters, while divisive methods start with a single cluster containing all data points and iteratively split the clusters into smaller ones. Recent research in hierarchical clustering has focused on improving the efficiency and accuracy of the algorithms, as well as adapting them to handle multi-view data, which is increasingly common in real-world applications. For example, the Multi-rank Sparse Hierarchical Clustering (MrSHC) algorithm has been proposed to address the limitations of existing sparse hierarchical clustering frameworks when dealing with complex data structures. Another recent development is the Contrastive Multi-view Hyperbolic Hierarchical Clustering (CMHHC) method, which combines multi-view alignment learning, aligned feature similarity learning, and continuous hyperbolic hierarchical clustering to better understand the hierarchical structure of multi-view data. Practical applications of hierarchical clustering include customer segmentation in marketing, gene expression analysis in bioinformatics, and image segmentation in computer vision. One company case study involves the use of hierarchical clustering in precision medicine, where the technique has been employed to analyze large datasets and identify meaningful patterns in patient data, ultimately leading to more personalized treatment plans. In conclusion, hierarchical clustering is a powerful and versatile machine learning technique that can reveal hidden structures and relationships within complex datasets. As research continues to advance, we can expect to see even more efficient and accurate algorithms, as well as new applications in various fields.

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