Related Experiment Video
Updated: Aug 21, 2025
06:56
Author Spotlight: Advancements in X-ray CT Tool Chain for Tree Core Analysis
Published on: September 22, 2023
1.2K
Seriation Using Tree-penalized Path Length.
Denis A Aliyev1, Craig L Zirbel2
1Department of Applied Mathematics, Virginia Military Institute, Lexington, VA 24450.
European Journal of Operational Research
|November 17, 2022
Summary
A new hybrid data seriation method, tree-penalized Path Length (tpPL), combines Traveling Salesman Problem (TSP) and Optimal Leaf Ordering (OLO) strategies. This novel approach effectively overcomes the limitations of existing methods for improved data visualization and interpretation.
Area of Science:
- Data analysis and visualization
- Computational statistics
- Machine learning
Background:
- Data seriation methods arrange objects linearly based on a dissimilarity matrix.
- Visualizing reordered matrices as heatmaps aids in understanding data structure.
- Existing methods like Traveling Salesman Problem (TSP) and Optimal Leaf Ordering (OLO) have limitations.
Purpose of the Study:
- To introduce a novel hybrid data seriation method.
- To address the weaknesses of current seriation techniques.
- To improve the interpretability of data structures through enhanced heatmaps.
Main Methods:
- Development of the tree-penalized Path Length (tpPL) method.
- tpPL combines path length minimization with tree structure consistency.
- Evaluation using 44 synthetic datasets comparing tpPL against TSP and OLO.
Main Results:
- The hybrid tpPL method demonstrates superior performance over TSP and OLO.
- tpPL effectively mitigates the individual weaknesses of TSP and OLO.
- The parameter in tpPL allows smooth transition between TSP and OLO objectives.
Conclusions:
- The tree-penalized Path Length (tpPL) method offers a robust and flexible approach to data seriation.
- tpPL enhances the clarity and interpretability of data visualizations.
- This hybrid method represents a significant advancement in ordering and visualizing complex datasets.
Related Concept Videos
01:19Survival Tree
132
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...
132
03:21Phylogenetic Trees
45.9K
Phylogenetic trees come in many forms. It matters in which sequence the organisms are arranged from the bottom to the top of the tree, but the branches can rotate at their nodes without altering the information. The lines connecting individual nodes can be straight, angled, or even curved.
45.9K
01:26Per-Unit Sequence Models
108
An ideal Y-Y transformer, grounded through neutral impedances, displays per-unit sequence networks akin to those of a single-phase ideal transformer when subjected to balanced positive- or negative-sequence currents. These currents do not produce neutral currents, and their associated voltage drops.
Zero-sequence currents, which are identical in magnitude and phase, generate a neutral current, resulting in voltage drops across the neutral impedance and the low-voltage winding. If the...
Zero-sequence currents, which are identical in magnitude and phase, generate a neutral current, resulting in voltage drops across the neutral impedance and the low-voltage winding. If the...
108
01:23Phylogeny
45.3K
Phylogeny is concerned with the evolutionary diversification of organisms or groups of organisms. A group of organisms with a name is called a taxon (singular). Taxa (plural) can span different levels of the evolutionary hierarchy. For instance, the group containing all birds is a taxon (comprising the class Aves), and the group of all species of daisies (the genus Bellis) is a taxon. Phylogenies can likewise include just one genus (i.e., depict species relationships) or span an entire kingdom.
45.3K
02:54Evolutionary Relationships through Genome Comparisons
6.1K
Genome comparison is one of the excellent ways to interpret the evolutionary relationships between organisms. The basic principle of genome comparison is that if two species share a common feature, it is likely encoded by the DNA sequence conserved between both species. The advent of genome sequencing technologies in the late 20th century enabled scientists to understand the concept of conservation of domains between species and helped them to deduce evolutionary relationships across diverse...
6.1K
01:10Interference: Path Lengths
1.4K
Consider two sources of sound, that may or may not be in phase, emitting waves at a single frequency, and consider the frequencies to be the same.
Two special sources may be considered when they are in phase. This can be easily achieved by feeding the two sources from the same source. An example would be synchronizing the two speakers by feeding them with the same source, such as the sound waves produced by a tuning fork. This setup ensures that the two sources have the same frequency and are...
Two special sources may be considered when they are in phase. This can be easily achieved by feeding the two sources from the same source. An example would be synchronizing the two speakers by feeding them with the same source, such as the sound waves produced by a tuning fork. This setup ensures that the two sources have the same frequency and are...
1.4K