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Updated: Feb 17, 2026

A Psychophysics Paradigm for the Collection and Analysis of Similarity Judgments
08:12

A Psychophysics Paradigm for the Collection and Analysis of Similarity Judgments

Published on: March 1, 2022

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ハイパーボリック空間における階層的ランキング:メトリック学習に対する新しいアプローチ

Shuda Zhang1, Huiying Li1

  • 1Jilin University, College of Computer Science and Technology, Changchun, Jilin province, China; Key Laboratory of Symbol Computation and Knowledge Engineering, Jilin University, Changchun, 130012, Jilin province, China.

Neural networks : the official journal of the International Neural Network Society
|February 15, 2026
PubMed
まとめ

この研究は,ハイパーボリック幾何学の深度メトリック学習のための新しい階層的ランキングフレームワークを導入します. この新しいアプローチは,表現学習を改善し,ベンチマークデータセットにおける最先端の方法を上回ります.

キーワード:
ディープメトリック・ラーニング (Deep Metric Learning) とは階層的なクラスタリングハイパーボリック幾何学イメージリトリーバルの画像検索ランク付けを学ぶ

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Unlike parametric methods, nonparametric statistics are ideal for nominal and ordinal data, requiring fewer assumptions about the population's nature or distribution. This makes nonparametric methods easier to apply and interpret, as they do not depend on parameters like mean or standard deviation. One common approach in nonparametric analysis is to sort data according to a specific criterion. For instance, we might arrange weather data from hottest to coldest days in a month or rank cities...
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Hyperbolic and Inverse Hyperbolic Functions: Problem Solving

An arched gate can be effectively modeled using a hyperbolic cosine profile because this type of function is smooth and symmetric about the vertical axis. When the arch is centered at the origin, its maximum height occurs at the center point. This symmetry ensures that any height below the crown of the arch is reached at two horizontal positions that are equal in distance from the centerline but lie on opposite sides.To determine where the gate reaches a height of five meters, the height of the...
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Ordinal Level of Measurement

The way a set of data is measured is called its level of measurement. Correct statistical procedures depend on a researcher being familiar with levels of measurement. For analysis, data are classified into four levels of measurement—nominal, ordinal, interval, and ratio.
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A flexible cable suspended between two points at the same height naturally forms a curve known as a catenary. This shape results from the balance between the cable’s weight and the tension acting along its length, representing a state of mechanical equilibrium. Unlike simpler approximations, the true shape of a hanging cable is described using hyperbolic functions.Hyperbolic functions are closely related to exponential functions and are named for their connection to the geometry of the...
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A hyperbola consists of all points where the absolute difference of distances to two fixed points, called foci, remains constant. The standard equation isEach branch extends infinitely and approaches two asymptotes, which guide the curve’s behavior. The parameters a and b define key features: a measures the distance from the center to each vertex along the transverse axis, while b influences the slopes of the asymptotes. The asymptotes have equationsA rectangle centered at the origin with...
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