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An Efficient Illumination Invariant Tiger Detection Framework for Wildlife Surveillance

Gaurav Pendharkar, A. Ancy Micheal, Jason Misquitta, Ranjeesh Kaippada

TL;DR

The work investigates the existence and nontriviality of $T$-periodic solutions for convex Hamiltonian systems in the subquadratic at infinity setting. It leverages a variational dual action framework, introducing spectral gap conditions involving $\gamma$ and $\lambda$ to guarantee at least one nontrivial periodic orbit via minimization of the dual functional $\\psi(u)$. The results consolidate classical findings (Rabinowitz) and duality-based approaches (Clarke and Ekeland), and extend them with subharmonic counts (Michalek & Tarantello) under symmetry and pinching arguments. The analysis provides a rigorous foundation for periodic and subharmonic dynamics in autonomous Hamiltonian systems with $(A_{ abla\infty},B_{ abla\infty})$-subquadratic growth conditions, with explicit criteria for nontriviality and minimality of the solutions. This framework offers a powerful toolset for studying long-time behavior and multiplicity of orbits in convex Hamiltonian physics and related mathematical models.

Abstract

Tiger conservation necessitates the strategic deployment of multifaceted initiatives encompassing the preservation of ecological habitats, anti-poaching measures, and community involvement for sustainable growth in the tiger population. With the advent of artificial intelligence, tiger surveillance can be automated using object detection. In this paper, an accurate illumination invariant framework is proposed based on EnlightenGAN and YOLOv8 for tiger detection. The fine-tuned YOLOv8 model achieves a mAP score of 61% without illumination enhancement. The illumination enhancement improves the mAP by 0.7%. The approaches elevate the state-of-the-art performance on the ATRW dataset by approximately 6% to 7%.

An Efficient Illumination Invariant Tiger Detection Framework for Wildlife Surveillance

TL;DR

The work investigates the existence and nontriviality of -periodic solutions for convex Hamiltonian systems in the subquadratic at infinity setting. It leverages a variational dual action framework, introducing spectral gap conditions involving and to guarantee at least one nontrivial periodic orbit via minimization of the dual functional . The results consolidate classical findings (Rabinowitz) and duality-based approaches (Clarke and Ekeland), and extend them with subharmonic counts (Michalek & Tarantello) under symmetry and pinching arguments. The analysis provides a rigorous foundation for periodic and subharmonic dynamics in autonomous Hamiltonian systems with -subquadratic growth conditions, with explicit criteria for nontriviality and minimality of the solutions. This framework offers a powerful toolset for studying long-time behavior and multiplicity of orbits in convex Hamiltonian physics and related mathematical models.

Abstract

Tiger conservation necessitates the strategic deployment of multifaceted initiatives encompassing the preservation of ecological habitats, anti-poaching measures, and community involvement for sustainable growth in the tiger population. With the advent of artificial intelligence, tiger surveillance can be automated using object detection. In this paper, an accurate illumination invariant framework is proposed based on EnlightenGAN and YOLOv8 for tiger detection. The fine-tuned YOLOv8 model achieves a mAP score of 61% without illumination enhancement. The illumination enhancement improves the mAP by 0.7%. The approaches elevate the state-of-the-art performance on the ATRW dataset by approximately 6% to 7%.
Paper Structure (12 sections, 8 theorems, 72 equations, 2 figures, 2 tables)

This paper contains 12 sections, 8 theorems, 72 equations, 2 figures, 2 tables.

Table of Contents

  1. Hamiltonian Mechanics
  2. Fixed-Period Problems: The Sublinear Case
  3. Autonomous Systems
  4. The General Case: Nontriviality.
  5. Notes and Comments.
  6. Notes and Comments.
  7. Theoretical Contributions
  8. Fixed-Period Problems: The Sublinear Case
  9. Autonomous Systems
  10. The General Case: Nontriviality.
  11. Notes and Comments.
  12. Notes and Comments.

Key Result

proposition 1

Assume $H'(0)=0$ and $H(0)=0$. Set: If $\gamma < - \lambda < \delta$, the solution $\overline{u}$ is non-zero:

Figures (2)

  • Figure 1: This is the caption of the figure displaying a white eagle and a white horse on a snow field
  • Figure 2: This is the caption of the figure displaying a white eagle and a white horse on a snow field

Theorems & Definitions (16)

  • proposition 1
  • proof
  • corollary 1
  • proof
  • lemma 1
  • proof
  • theorem 1: Ghoussoub-Preiss
  • definition 1
  • proposition 2
  • proof
  • ...and 6 more