Related Experiment Video
Updated: Aug 30, 2025
04:48
Swin-PSAxialNet: An Efficient Multi-Organ Segmentation Technique
Published on: July 5, 2024
486
Stochastic Model of Block Segmentation Based on Improper Quadtree and Optimal Code under the Bayes Criterion.
Yuta Nakahara1, Toshiyasu Matsushima2
1Center for Data Science, Waseda University, 1-6-1 Nisniwaseda, Shinjuku-ku, Tokyo 169-8050, Japan.
Entropy (Basel, Switzerland)
|August 26, 2022
Summary
This study introduces a novel stochastic model for lossless image compression using improper quadtrees. Our method achieves theoretical limits with efficient polynomial-time computation, improving upon existing techniques.
Area of Science:
- Computer Science
- Information Theory
- Image Processing
Background:
- Previous lossless image compression research primarily focused on preprocessing.
- Stochastic generative models directly on pixel values offer a path to theoretical limits.
Purpose of the Study:
- To propose a novel stochastic generative model for lossless image compression.
- To achieve the theoretical compression limit for the proposed model.
- To develop an efficient algorithm for optimal coding.
Main Methods:
- Developed a stochastic model based on improper quadtrees.
- Theoretically derived the Bayes-optimal code for the model.
- Proposed a polynomial-time algorithm for optimal coding by assuming a novel prior distribution.
Main Results:
- The proposed improper quadtree model enables achieving theoretical compression limits.
- The developed algorithm computes Bayes-optimal codes in polynomial time, overcoming exponential complexity.
- The novel prior distribution is key to the algorithm's efficiency and optimality.
Conclusions:
- The improper quadtree model is a promising approach for advanced lossless image compression.
- Efficient computation of Bayes-optimal codes is achievable, advancing the field.
- This work sets a new benchmark for lossless image compression algorithms.
Related Concept Videos
01:22Block Diagram Reduction
274
The process of deriving the transfer function of a control system often involves reducing its block diagram to a single block. This simplification can be achieved through a series of strategic operations, including relocating branch points and comparators. These operations preserve the overall function of the system while allowing for easier manipulation and combination of blocks.
The first step in this process is the identification and relocation of a branch point. A branch point, where a...
The first step in this process is the identification and relocation of a branch point. A branch point, where a...
274
01:16Statically Indeterminate Problem Solving
479
Statically indeterminate problems are those where statics alone can not determine the internal forces or reactions. Consider a structure comprising two cylindrical rods made of steel and brass. These rods are joined at point B and restrained by rigid supports at points A and C. Now, the reactions at points A and C and the deflection at point B are to be determined. This rod structure is classified as statically indeterminate as the structure has more supports than are necessary for maintaining...
479
01:19Survival Tree
140
Survival trees are a non-parametric method used in survival analysis to model the relationship between a set of covariates and the time until an event of interest occurs, often referred to as the "time-to-event" or "survival time." This method is particularly useful when dealing with censored data, where the event has not occurred for some individuals by the end of the study period, or when the exact time of the event is unknown.
Building a Survival Tree
Constructing a...
Building a Survival Tree
Constructing a...
140
01:19Routh-Hurwitz Criterion II
373
In the application of the Routh-Hurwitz criterion, two specific scenarios can arise that complicate stability analysis.
The first scenario occurs when a singular zero appears in the first column of the Routh table. This situation creates a division by zero issues. To resolve this, a small positive or negative number, denoted as epsilon (∈), is substituted for the zero. The stability analysis proceeds by assuming a sign for ∈. If ∈ is positive, any sign change in the first...
The first scenario occurs when a singular zero appears in the first column of the Routh table. This situation creates a division by zero issues. To resolve this, a small positive or negative number, denoted as epsilon (∈), is substituted for the zero. The stability analysis proceeds by assuming a sign for ∈. If ∈ is positive, any sign change in the first...
373
01:15Routh-Hurwitz Criterion I
318
Consider an electrical power grid, where stability is essential to prevent blackouts. The Routh-Hurwitz criterion is a valuable tool for assessing system stability under varying load conditions or faults. By analyzing the closed-loop transfer function, the Routh-Hurwitz criterion helps determine whether the system remains stable.
To apply the Routh-Hurwitz criterion, a Routh table is constructed. The table's rows are labeled with powers of the complex frequency variable s, starting from the...
To apply the Routh-Hurwitz criterion, a Routh table is constructed. The table's rows are labeled with powers of the complex frequency variable s, starting from the...
318
01:29Mechanistic Models: Compartment Models in Algorithms for Numerical Problem Solving
100
Mechanistic models play a crucial role in algorithms for numerical problem-solving, particularly in nonlinear mixed effects modeling (NMEM). These models aim to minimize specific objective functions by evaluating various parameter estimates, leading to the development of systematic algorithms. In some cases, linearization techniques approximate the model using linear equations.
In individual population analyses, different algorithms are employed, such as Cauchy's method, which uses a...
In individual population analyses, different algorithms are employed, such as Cauchy's method, which uses a...
100