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Related Concept Videos

State Space Representation01:27

State Space Representation

476
The frequency-domain technique, commonly used in analyzing and designing feedback control systems, is effective for linear, time-invariant systems. However, it falls short when dealing with nonlinear, time-varying, and multiple-input multiple-output systems. The time-domain or state-space approach addresses these limitations by utilizing state variables to construct simultaneous, first-order differential equations, known as state equations, for an nth-order system.
Consider an RLC circuit, a...
476
Linear Approximation in Frequency Domain01:26

Linear Approximation in Frequency Domain

314
Linear systems are characterized by two main properties: superposition and homogeneity. Superposition allows the response to multiple inputs to be the sum of the responses to each individual input. Homogeneity ensures that scaling an input by a scalar results in the response being scaled by the same scalar.
In contrast, nonlinear systems do not inherently possess these properties. However, for small deviations around an operating point, a nonlinear system can often be approximated as linear....
314
State Space to Transfer Function01:21

State Space to Transfer Function

508
The conversion of state-space representation to a transfer function is a fundamental process in system analysis. It provides a method for transitioning from a time-domain description to a frequency-domain representation, which is crucial for simplifying the analysis and design of control systems.
The transformation process begins with the state-space representation, characterized by the state equation and the output equation. These equations are typically represented as:
508
Distribution Reliability and Automation01:25

Distribution Reliability and Automation

440
Distribution reliability in electrical power systems is critical for ensuring an uninterrupted power supply to consumers at minimal cost. According to IEEE Standard Terms, reliability is the probability that a device will function without failure over a specified time period or amount of usage. For electric power distribution, this translates to maintaining continuous power supply and addressing customer concerns over power outages. Several indices, as defined by IEEE Standard 1366-2012, are...
440
Model Approaches for Pharmacokinetic Data: Distributed Parameter Models01:06

Model Approaches for Pharmacokinetic Data: Distributed Parameter Models

205
Pharmacokinetic models are mathematical constructs that represent and predict the time course of drug concentrations in the body, providing meaningful pharmacokinetic parameters. These models are categorized into compartment, physiological, and distributed parameter models.
The distributed parameter models are specifically designed to account for variations and differences in some drug classes. This model is particularly useful for assessing regional concentrations of anticancer or...
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Transfer Function to State Space01:23

Transfer Function to State Space

703
State-space representation is a powerful tool for simulating physical systems on digital computers, necessitating the conversion of the transfer function into state-space form. Consider an nth-order linear differential equation with constant coefficients, like those encountered in an RLC circuit. The state variables are selected as the output and its n−1 derivatives. Differentiating these variables and substituting them back into the original equation produces the state equations.
In an RLC...
703

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Augmenting Large Language Models via Vector Embeddings to Improve Domain-Specific Responsiveness
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Published on: December 6, 2024

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Subspace Distribution Adaptation Frameworks for Domain Adaptation.

Sentao Chen, Le Han, Xiaolan Liu

    IEEE Transactions on Neural Networks and Learning Systems
    |January 30, 2020
    PubMed
    Summary
    This summary is machine-generated.

    This study introduces novel domain adaptation frameworks, Bregman-divergence-embedded structural risk minimization (BSRM) and joint structural risk minimization (JSRM), to improve model performance across different datasets. These methods effectively adapt source domain models to target domains, outperforming existing techniques.

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    Area of Science:

    • Machine Learning
    • Computer Vision
    • Natural Language Processing

    Background:

    • Domain adaptation addresses challenges in applying models trained on one data distribution to another.
    • Existing methods like instance reweighting and feature transformation have limitations with high-dimensional data and large domain discrepancies.

    Purpose of the Study:

    • To propose novel frameworks for unsupervised domain adaptation that overcome limitations of current methods.
    • To adapt source domain distributions to target domain distributions within a subspace.

    Main Methods:

    • Modeling unsupervised domain adaptation under the generalized covariate shift assumption.
    • Applying a distribution adaptation function to align source and target distributions in a subspace.
    • Jointly learning the subspace distribution adaptation function and the target prediction model through Bregman-divergence-embedded structural risk minimization (BSRM) and joint structural risk minimization (JSRM).

    Main Results:

    • The proposed BSRM and JSRM frameworks yield convex optimization problems under specific instantiations.
    • Experimental results demonstrate statistically significant improvements over state-of-the-art domain adaptation techniques.
    • The methods show strong performance on both synthetic and real-world text and image datasets.

    Conclusions:

    • The proposed BSRM and JSRM frameworks offer effective solutions for unsupervised domain adaptation.
    • These methods successfully address challenges posed by high-dimensional data and significant cross-domain discrepancies.
    • The research advances domain adaptation techniques with practical implications for various data types.