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Quadratic models are mathematical representations used to describe relationships in which the rate of change changes at a constant rate. These models appear in a wide variety of natural and engineered systems, especially those involving motion, forces, and optimization. One common application is analyzing the vertical motion of objects influenced by gravity, such as a ball thrown into the air.In such scenarios, the object's height changes over time in a curved pattern, rising to a maximum point...
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In the application of the Routh-Hurwitz criterion, two specific scenarios can arise that complicate stability analysis.
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Randomized Experiments01:13

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The randomization process involves assigning study participants randomly to experimental or control groups based on their probability of being equally assigned. Randomization is meant to eliminate selection bias and balance known and unknown confounding factors so that the control group is similar to the treatment group as much as possible. A computer program and a random number generator can be used to assign participants to groups in a way that minimizes bias.
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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.
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Related Experiment Video

Updated: Dec 14, 2025

Augmenting Large Language Models via Vector Embeddings to Improve Domain-Specific Responsiveness
03:14

Augmenting Large Language Models via Vector Embeddings to Improve Domain-Specific Responsiveness

Published on: December 6, 2024

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Privacy-preserving semi-parallel logistic regression training with fully homomorphic encryption.

Sergiu Carpov1,2, Nicolas Gama2, Mariya Georgieva3,4

  • 1CEA, LIST, Point Courier 172, Gif-sur-Yvette cedex, 91191, France.

BMC Medical Genomics
|July 23, 2020
PubMed
Summary

This study introduces a novel privacy-preserving computation method for encrypted genomic data, enabling secure cloud deployment of medical research algorithms. The approach facilitates feature selection for improved machine learning model quality without compromising individual data privacy.

Keywords:
Fully homomorphic encryptionGenome privacyGenome-wide association studyLogistic regression

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Last Updated: Dec 14, 2025

Augmenting Large Language Models via Vector Embeddings to Improve Domain-Specific Responsiveness
03:14

Augmenting Large Language Models via Vector Embeddings to Improve Domain-Specific Responsiveness

Published on: December 6, 2024

895

Area of Science:

  • Bioinformatics
  • Computational Biology
  • Genomic Data Analysis

Background:

  • Privacy-preserving computations are crucial for secure medical and genomic data research.
  • Secure cloud deployment of algorithms on encrypted data enables innovation without revealing individual genomes.
  • Advancements in secure computation methods face challenges with large biomedical datasets.

Purpose of the Study:

  • To address the challenge of feature selection in encrypted genomic databases for machine learning.
  • To improve the quality of regression models using features from encrypted data.
  • To develop practical solutions for privacy-preserving analysis of large-scale biomedical data.

Main Methods:

  • Utilized the Chimera hybrid framework, integrating TFHE and HEAAN fully homomorphic encryption schemes.
  • Focused on a practical machine learning scenario for feature selection in encrypted databases.
  • Developed a bootstrapped approach for flexible parameter application without re-encryption.

Main Results:

  • The solution was a finalist in the iDash 2018 competition (HE Track).
  • The proposed method is the only bootstrapped approach applicable across different parameter sets.
  • Demonstrated practicality for real-world applications by avoiding database re-encryption.

Conclusions:

  • This work represents a significant step towards solving the general feature selection problem for large encrypted databases.
  • The developed method enhances the security and practicality of machine learning on sensitive genomic data.
  • Paves the way for more advanced privacy-preserving analyses in biomedical research.