Gaussian Mixture Modeling with Adaptive Learning Rate Control

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Solution Overview

Problem

Gaussian mixture modeling (GMM) for video surveillance faces a tradeoff between model robustness to background changes and sensitivity to foreground abnormalities, with existing approaches lacking a simple and flexible way to manage this balance, leading to inefficiencies in background adaptation and false alarms.

Innovation Solution

A novel two-type learning rate control scheme for GMM, where high-level feedbacks of pixel properties are used to adaptively adjust learning rates in space and time, distinguishing between learning rates for model estimation accuracy and robustness-sensitivity tradeoff, allowing for individual background adaptation rates for each image pixel.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Reliability

If a Gaussian mixture model is tuned to tolerate quick changes in background, then model robustness to background changes is improved, but model sensitivity to foreground abnormalities deteriorates

Engineering Contradiction:
Improvemodel robustness to background changesVSAvoidmodel sensitivity to foreground abnormalities
Core Design Contradiction:
ReliabilityVSMeasurement precision

Solution Approach 1:

The patent applies dynamics by making the learning rate adaptive rather than static. The learning rate automatically adjusts based on the pixel's background stability characteristics - pixels with stable backgrounds receive higher learning rates for faster adaptation, while pixels with unstable backgrounds receive lower learning rates to maintain sensitivity. This dynamic adjustment resolves the contradiction by allowing the model to be robust where needed while remaining sensitive where required.

Inventive Principle:
Principle #15Dynamics

Solution Approach 2:

The patent implements local quality by assigning different learning rates to different spatial locations (pixels) based on their individual background stability properties. Instead of using a uniform learning rate across the entire image, each pixel receives a customized learning rate that reflects its local characteristics - stable regions adapt faster while unstable regions maintain higher sensitivity, thus resolving the robustness-sensitivity tradeoff locally across the image.

Inventive Principle:
Principle #3Local quality

2Device complexity

If an identical learning rate setting is applied to all image pixels, then device complexity is reduced, but adaptability to different background conditions deteriorates

Engineering Contradiction:
Improvelearning rate control complexityVSAvoidbackground adaptation flexibility
Core Design Contradiction:
Device complexityVSAdaptability or versatility

Solution Approach 1:

The patent applies self-service by enabling the system to automatically determine appropriate learning rates for each pixel based on its own background stability characteristics, without requiring manual configuration or complex external control. The pixel's historical intensity variations serve as feedback to automatically adjust its learning rate, achieving adaptability through self-regulation while keeping the overall system relatively simple.

Inventive Principle:
Principle #25Self-service

Solution Approach 2:

The patent implements feedback by using the pixel's historical intensity variations and background stability measurements to automatically adjust its learning rate. The system continuously monitors background characteristics and feeds this information back to modulate the learning rate accordingly - pixels showing stable backgrounds receive increased learning rates over time, while unstable pixels maintain lower rates, achieving adaptive behavior through feedback control.

Inventive Principle:
Principle #23Feedback

Data Source

PatentUS8599255B2Video surveillance system based on Gaussian mixture modeling with two-type learning rate control scheme
Publication Date: 2013.12.03 QNAP SYST INC
  • US8599255B2 patent drawing
  • US8599255B2 patent drawing
  • US8599255B2 patent drawing

AI summary

In the present invention, we identify that such a tradeoff between robustness to background changes and sensitivity to foreground abnormalities can be easily controlled by a new computational scheme of two-type learning rate control for the Gaussian mixture modeling (GMM). Based on the proposed rate control scheme, a new video surveillance system that applies feedbacks of pixel properties computed in object-level analysis to the learning rate controls of the GMM in pixel-level background modeling is developed. Such a system gives better regularization of background adaptation and is efficient in resolving the tradeoff for many surveillance applications.