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Related Concept Videos

Collisions in Multiple Dimensions: Problem Solving01:06

Collisions in Multiple Dimensions: Problem Solving

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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.
A small car of mass 1,200 kg traveling east at 60 km/h collides at an intersection with a truck of mass 3,000 kg traveling due north at 40 km/h. The two vehicles are locked together. What is the...
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Collisions in Multiple Dimensions: Introduction01:05

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It is far more common for collisions to occur in two dimensions; that is, the initial velocity vectors are neither parallel nor antiparallel to each other. Let's see what complications arise from this. The first idea is that momentum is a vector. Like all vectors, it can be expressed as a sum of perpendicular components (usually, though not always, an x-component and a y-component, and a z-component if necessary). Thus, when the statement of conservation of momentum is written for a...
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Cross Product01:25

Cross Product

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The cross product is a fundamental concept in vector algebra that is a vector operation on two different vectors to obtain a third vector. Unlike the scalar product, the cross product results in a vector quantity perpendicular to both the original vectors.
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Causes of Similarity-Dissimilarity Effect01:26

Causes of Similarity-Dissimilarity Effect

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The similarity-dissimilarity effect, a fundamental concept in social psychology, explains how interpersonal similarities and differences influence attraction and social interactions. This effect is supported by three key psychological perspectives: balance theory, social comparison theory, and consensual validation.Balance Theory and Cognitive ConsistencyBalance theory, developed by Fritz Heider, posits that individuals seek cognitive consistency in their relationships. When two people share...
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Upsampling01:22

Upsampling

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Managing signal sampling rates is essential in digital signal processing to maintain signal integrity. A decimated signal, characterized by a reduced frequency range due to its lower sampling rate, can be upsampled by inserting zeros between each sample. This upsampling process expands the original spectrum and introduces repeated spectral replicas at intervals dictated by the new Nyquist frequency. To refine this zero-inserted sequence, it is passed through a lowpass filter with a cutoff...
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What is a Mode?01:07

What is a Mode?

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The mode is one of the commonly used measures of a central tendency. It is defined as the most frequent value in a data set.
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Cross-Modal Multivariate Pattern Analysis
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Multimodal Mutual Information Maximization: A Novel Approach for Unsupervised Deep Cross-Modal Hashing.

Tuan Hoang, Thanh-Toan Do, Tam V Nguyen

    IEEE Transactions on Neural Networks and Learning Systems
    |January 4, 2022
    PubMed
    Summary
    This summary is machine-generated.

    This study introduces cross-modal info-max hashing (CMIMH) for unsupervised learning of binary hash codes. CMIMH enhances cross-modal retrieval by maximizing mutual information, outperforming existing methods.

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    Area of Science:

    • Machine Learning
    • Computer Vision
    • Information Retrieval

    Background:

    • Unsupervised learning of binary hash codes is crucial for efficient cross-modal retrieval.
    • Existing methods often struggle to preserve both intramodal and intermodal similarities effectively.

    Purpose of the Study:

    • To propose a novel unsupervised method, cross-modal info-max hashing (CMIMH), for learning binary hash codes.
    • To enhance the performance of cross-modal retrieval by maximizing mutual information (MI).

    Main Methods:

    • Leveraging advances in estimating the variational lower bound of MI.
    • Maximizing MI between binary representations and input features, and between different modalities.
    • Modeling binary representations using multivariate Bernoulli distributions and employing mini-batch gradient descent.

    Main Results:

    • Successfully learned binary representations preserving both intramodal and intermodal similarities.
    • Demonstrated the importance of balancing modality gap reduction and preserving modality-private information.
    • Achieved superior performance compared to state-of-the-art methods on benchmark datasets.

    Conclusions:

    • The proposed CMIMH method effectively addresses unsupervised learning for cross-modal retrieval.
    • Balancing information preservation is key for optimal cross-modal retrieval performance.
    • CMIMH offers a significant advancement in efficient and accurate cross-modal retrieval.