Discrete Gaussian Process Representations for Optimising UAV-based Precision Weed Mapping
- URL: http://arxiv.org/abs/2503.07210v1
- Date: Mon, 10 Mar 2025 11:50:15 GMT
- Title: Discrete Gaussian Process Representations for Optimising UAV-based Precision Weed Mapping
- Abstract summary: This study compares five discretisation methods for weed mapping using UAVs.<n> Evaluations on real-world weed distributions measure visual similarity, mean squared error (MSE), and computational efficiency.<n>Results show quadtrees perform best overall, but alternatives excel in specific scenarios.
- Score: 2.1374208474242815
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: Accurate agricultural weed mapping using UAVs is crucial for precision farming applications. Traditional methods rely on orthomosaic stitching from rigid flight paths, which is computationally intensive and time-consuming. Gaussian Process (GP)-based mapping offers continuous modelling of the underlying variable (i.e. weed distribution) but requires discretisation for practical tasks like path planning or visualisation. Current implementations often default to quadtrees or gridmaps without systematically evaluating alternatives. This study compares five discretisation methods: quadtrees, wedgelets, top-down binary space partition (BSP) trees using least square error (LSE), bottom-up BSP trees using graph merging, and variable-resolution hexagonal grids. Evaluations on real-world weed distributions measure visual similarity, mean squared error (MSE), and computational efficiency. Results show quadtrees perform best overall, but alternatives excel in specific scenarios: hexagons or BSP LSE suit fields with large, dominant weed patches, while quadtrees are optimal for dispersed small-scale distributions. These findings highlight the need to tailor discretisation approaches to weed distribution patterns (patch size, density, coverage) rather than relying on default methods. By choosing representations based on the underlying distribution, we can improve mapping accuracy and efficiency for precision agriculture applications.
Related papers
- Active Informative Planning for UAV-based Weed Mapping using Discrete Gaussian Process Representations [0.0]
informative path planning (IPP) offers a way to collect data adaptively where it is most needed.<n>GP mapping provides a continuous model of weed distribution with built-in uncertainty.<n>Many discretisation techniques exist, but the impact of discrete representation choice remains poorly understood.<n>This paper investigates how different discrete GP representations influence both mapping quality and mission-level performance in UAV-based weed mapping.
arXiv Detail & Related papers (2026-01-19T16:20:27Z) - Optimizing Distributional Geometry Alignment with Optimal Transport for Generative Dataset Distillation [109.13471554184554]
We reformulate dataset distillation as an Optimal Transport (OT) distance minimization problem.<n>OT offers a geometrically faithful framework for distribution matching.<n>Our method consistently outperforms state-of-the-art approaches in an efficient manner.
arXiv Detail & Related papers (2025-11-29T04:04:05Z) - Pruning Spurious Subgraphs for Graph Out-of-Distribtuion Generalization [90.32406785945223]
We propose PrunE, the first pruning-based graph OOD method that eliminates spurious edges to improve OOD generalizability.<n>PrunE employs two regularization terms to prune spurious edges: 1) graph size constraint to exclude uninformative spurious edges, and 2) $epsilon$-probability alignment to further suppress the occurrence of spurious edges.
arXiv Detail & Related papers (2025-06-06T10:34:48Z) - WeedsGalore: A Multispectral and Multitemporal UAV-based Dataset for Crop and Weed Segmentation in Agricultural Maize Fields [0.7421845364041001]
Weeds are one of the major reasons for crop yield loss but current weeding practices fail to manage weeds in an efficient and targeted manner.<n>We present a novel dataset for semantic and instance segmentation of crops and weeds in agricultural maize fields.
arXiv Detail & Related papers (2025-02-18T18:13:19Z) - Soft regression trees: a model variant and a decomposition training algorithm [0.24578723416255752]
We propose a new variant of soft multivariate regression trees (SRTs) where, for every input vector, the prediction is defined as a linear regression associated to a single leaf node.<n>SRTs exhibit the conditional computational property, i.e., each prediction depends on a small number of nodes.<n> Experiments on 15 wellknown datasets indicate that our SRTs and decomposition algorithm yield higher accuracy and robustness compared with traditional soft regression trees.
arXiv Detail & Related papers (2025-01-10T13:06:36Z) - Adaptive Split Balancing for Optimal Random Forest [8.916614661563893]
We propose a new random forest algorithm that constructs the trees using a novel adaptive split-balancing method.
Our method achieves optimality in simple, smooth scenarios while adaptively learning the tree structure from the data.
arXiv Detail & Related papers (2024-02-17T09:10:40Z) - General Cutting Planes for Bound-Propagation-Based Neural Network
Verification [144.7290035694459]
We generalize the bound propagation procedure to allow the addition of arbitrary cutting plane constraints.
We find that MIP solvers can generate high-quality cutting planes for strengthening bound-propagation-based verifiers.
Our method is the first verifier that can completely solve the oval20 benchmark and verify twice as many instances on the oval21 benchmark.
arXiv Detail & Related papers (2022-08-11T10:31:28Z) - Distributionally Robust Models with Parametric Likelihood Ratios [123.05074253513935]
Three simple ideas allow us to train models with DRO using a broader class of parametric likelihood ratios.
We find that models trained with the resulting parametric adversaries are consistently more robust to subpopulation shifts when compared to other DRO approaches.
arXiv Detail & Related papers (2022-04-13T12:43:12Z) - GP-BART: a novel Bayesian additive regression trees approach using
Gaussian processes [1.03590082373586]
The GP-BART model is an extension of BART which addresses the limitation by assuming GP priors for the predictions of each terminal node among all trees.
The model's effectiveness is demonstrated through applications to simulated and real-world data, surpassing the performance of traditional modeling approaches in various scenarios.
arXiv Detail & Related papers (2022-04-05T11:18:44Z) - Distributed Sketching for Randomized Optimization: Exact
Characterization, Concentration and Lower Bounds [54.51566432934556]
We consider distributed optimization methods for problems where forming the Hessian is computationally challenging.
We leverage randomized sketches for reducing the problem dimensions as well as preserving privacy and improving straggler resilience in asynchronous distributed systems.
arXiv Detail & Related papers (2022-03-18T05:49:13Z) - On multivariate randomized classification trees: $l_0$-based sparsity,
VC~dimension and decomposition methods [0.9346127431927981]
We investigate the nonlinear continuous optimization formulation proposed in Blanquero et al.
We first consider alternative methods to sparsify such trees based on concave approximations of the $l_0$ norm"
We propose a general decomposition scheme and an efficient version of it. Experiments on larger datasets show that the proposed decomposition method is able to significantly reduce the training times without compromising the accuracy.
arXiv Detail & Related papers (2021-12-09T22:49:08Z) - Scaling Structured Inference with Randomization [64.18063627155128]
We propose a family of dynamic programming (RDP) randomized for scaling structured models to tens of thousands of latent states.
Our method is widely applicable to classical DP-based inference.
It is also compatible with automatic differentiation so can be integrated with neural networks seamlessly.
arXiv Detail & Related papers (2021-12-07T11:26:41Z) - Unfolding Projection-free SDP Relaxation of Binary Graph Classifier via
GDPA Linearization [59.87663954467815]
Algorithm unfolding creates an interpretable and parsimonious neural network architecture by implementing each iteration of a model-based algorithm as a neural layer.
In this paper, leveraging a recent linear algebraic theorem called Gershgorin disc perfect alignment (GDPA), we unroll a projection-free algorithm for semi-definite programming relaxation (SDR) of a binary graph.
Experimental results show that our unrolled network outperformed pure model-based graph classifiers, and achieved comparable performance to pure data-driven networks but using far fewer parameters.
arXiv Detail & Related papers (2021-09-10T07:01:15Z) - Making Affine Correspondences Work in Camera Geometry Computation [62.7633180470428]
Local features provide region-to-region rather than point-to-point correspondences.
We propose guidelines for effective use of region-to-region matches in the course of a full model estimation pipeline.
Experiments show that affine solvers can achieve accuracy comparable to point-based solvers at faster run-times.
arXiv Detail & Related papers (2020-07-20T12:07:48Z)
This list is automatically generated from the titles and abstracts of the papers in this site.
This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.