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Its exact influence can be seen in DeepSAD's optimization objective in equation~\ref{eq:deepsad_optimization_objective}. -% -% The learning rates for the autoencoder $L_A$ and the main training $L_M$ are also hyperparameters to be chosen and if one chooses so they can also use an adaptive learning rate. These are handled like in most neural network trainings. -% -% The number of epochs to train the autoencoder $E_A$ and the main training $E_M$ can also be freely chosen and depend on compute resources or the implementation of early stopping criteria. - - \newsubsubsectionNoTOC{Hyperparameters} -DeepSAD relies on several hyperparameters that influence different stages of the algorithm. The most relevant ones are summarized and discussed below. +DeepSAD relies on several tuneable hyperparameters that influence different stages of the algorithm. The most relevant ones are summarized and discussed below. \begin{itemize} \item \textbf{Network architecture $\mathcal{\phi}$} \\ @@ -441,13 +426,13 @@ To ensure our chosen dataset meets the needs of reliable degradation quantificat \begin{enumerate} \item \textbf{Data Modalities:}\\ - The dataset must include LiDAR sensor data, since we decided to train and evaluate our method on what should be the most universally used sensor type in the given domain. To keep our method as generalized as possible, we chose to only require range-based point cloud data and forego sensor-specific data such as intensity or reflectivity, though it may be of interest for future work. It is also desirable to have complementary visual data such as camera images, for better context, manual verification and understanding of the data. + The dataset must include lidar sensor data, since we decided to train and evaluate our method on what should be the most universally used sensor type in the given domain. To keep our method as generalized as possible, we chose to only require range-based point cloud data and forego sensor-specific data such as intensity or reflectivity, though it may be of interest for future work. It is also desirable to have complementary visual data such as camera images, for better context, manual verification and understanding of the data. \item \textbf{Context \& Collection Method:}\\ To mirror the real-world conditions of autonomous rescue robots, the data should originate from locations such as subterranean environments (tunnels, caves, collapsed structures), which closely reflect what would be encountered during rescue missions. Ideally, it should be captured from a ground-based, self-driving robot platform in motion instead of aerial, handheld, or stationary collection, to ensure similar circumstances to the target domain. \item \textbf{Degradation Characteristics:}\\ - Because our goal is to quantify the degradation of lidar data encountered by rescue robots, the dataset must exhibit significant degradation of LiDAR returns from aerosols (i.e., dust or smoke particles), which should be the most frequent and challenging degradation encountered. This requirement is key to evaluating how well our method detects and measures the severity of such challenging conditions. + Because our goal is to quantify the degradation of lidar data encountered by rescue robots, the dataset must exhibit significant degradation of lidar returns from aerosols (i.e., dust or smoke particles), which should be the most frequent and challenging degradation encountered. This requirement is key to evaluating how well our method detects and measures the severity of such challenging conditions. \item \textbf{Volume \& Class Balance:}\\ The dataset must be large enough to train deep learning models effectively. Since our semi-supervised approach depends on learning a robust model of “normal” data, the majority of samples should be high-quality, degradation-free scans. Simultaneously, there must be a sufficient number of degraded (anomalous) scans to permit a comprehensive evaluation of quantification performance. @@ -459,7 +444,7 @@ To ensure our chosen dataset meets the needs of reliable degradation quantificat -Quantitative benchmarking of degradation quantification requires a degradation label for every scan. Ideally that label would be a continuous degradation score, although a binary label would still enable meaningful comparison. As the rest of this section shows, producing any reliable label is already challenging and assigning meaningful analog scores may not be feasible at all. Compounding the problem, no public search-and-rescue (SAR) LiDAR data set offers such ground truth as far as we know. To understand the challenges around labeling lidar data degradation, we will look at what constitutes degradation in this context. +Quantitative benchmarking of degradation quantification requires a degradation label for every scan. Ideally that label would be a continuous degradation score, although a binary label would still enable meaningful comparison. As the rest of this section shows, producing any reliable label is already challenging and assigning meaningful analog scores may not be feasible at all. Compounding the problem, no public search-and-rescue (SAR) lidar data set offers such ground truth as far as we know. To understand the challenges around labeling lidar data degradation, we will look at what constitutes degradation in this context. In section~\ref{sec:lidar_related_work} we discussed some internal and environmental error causes of lidar sensors, such as multi-return ambiguities or atmospheric scattering respectively. While we are aware of research into singular failure modes, such as \citetitle{lidar_errormodel_particles}~\cite{lidar_errormodel_particles} or research trying to model the totality of error souces occuring in other domains, such as .\citetitle{lidar_errormodel_automotive}~\cite{lidar_errormodel_automotive}, there appears to be no such model for the search and rescue domain and its unique environmental circumstances. Although, scientific consensus appears to be, that airborne particles are the biggest contributor to degradation in SAR~\cite{lidar_errormodel_consensus}, we think that a more versatile definition is required to ensure confidence during critical SAR missions, which are often of a volatile nature. We are left with an ambiguous definition of what constitutes lidar point cloud degradation in the SAR domain. @@ -485,9 +470,9 @@ Based on the previously discussed requirements and the challenges of obtaining r \scriptsize \begin{tabular}{cp{4cm}p{4.5cm}p{5.5cm}} \textbf{\#} & \textbf{Sensor} & \textbf{Recorded Data} & \textbf{Key Specs} \\ - 1 & \sensorcell{Spinning 3-D LiDAR}{Ouster OS1-32} & 3-D cloud, reflectivity & 10 Hz, 32 ch, 360° × 42.4°, $\leq$ 120 m \rule{0pt}{2.6ex} \\ + 1 & \sensorcell{Spinning 3-D lidar}{Ouster OS1-32} & 3-D cloud, reflectivity & 10 Hz, 32 ch, 360° × 42.4°, $\leq$ 120 m \rule{0pt}{2.6ex} \\ 2 & \sensorcell{mm-wave RADAR (×4)}{TI IWR6843AoP} & 4 × 60° RADAR point clouds & 30 Hz, 60 GHz, 9 m max, 0.05 m res. \\ - 3 & \sensorcell{Solid-state LiDAR}{Velodyne Velarray M1600} & Forward LiDAR cloud & 10 Hz, 160 ch, 120° × 32°, 0.1–30 m \\ + 3 & \sensorcell{Solid-state lidar}{Velodyne Velarray M1600} & Forward lidar cloud & 10 Hz, 160 ch, 120° × 32°, 0.1–30 m \\ 4 & \sensorcell{RGB-D / stereo cam}{Luxonis OAK-D Pro} & stereo b/w images, depth map & 15 fps, 75 mm baseline, active IR 930 nm \\ 5 & \sensorcell{LED flood-light}{RS PRO WL28R} & Illumination for stereo cam & 7 W, 650 lm (no data stream) \\ 6 & \sensorcell{IMU}{Pixhawk 2.1 Cube Orange} & Accel, gyro, mag, baro & 190 Hz, 9-DoF, vibration-damped \\ @@ -497,7 +482,7 @@ Based on the previously discussed requirements and the challenges of obtaining r \end{table} -We use data from the \emph{Ouster OS1-32} LiDAR sensor, which was configured to capture 10 frames per second with a resolution of 32 vertical channels and 2048 measurements per channel. These settings yield equiangular measurements across a vertical field of view of 42.4° and a complete 360° horizontal field of view. Consequently, every LiDAR scan can generate up to 65,536 points. Each point contains the \emph{X}, \emph{Y}, and \emph{Z} coordinates (in meters, with the sensor location as the origin) along with values for \emph{range}, \emph{intensity}, and \emph{reflectivity}—typical metrics measured by LiDAR sensors. The datasets' point clouds are saved in a dense format, meaning each of the 65,536 measurements is present in the data, although fields for missing measurements contain zeroes. +We use data from the \emph{Ouster OS1-32} lidar sensor, which was configured to capture 10 frames per second with a resolution of 32 vertical channels and 2048 measurements per channel. These settings yield equiangular measurements across a vertical field of view of 42.4° and a complete 360° horizontal field of view. Consequently, every lidar scan can generate up to 65,536 points. Each point contains the \emph{X}, \emph{Y}, and \emph{Z} coordinates (in meters, with the sensor location as the origin) along with values for \emph{range}, \emph{intensity}, and \emph{reflectivity}—typical metrics measured by lidar sensors. The datasets' point clouds are saved in a dense format, meaning each of the 65,536 measurements is present in the data, although fields for missing measurements contain zeroes. %------------------------------------------------- % Platform photographs – (a) Pioneer base, (b) numbered sensor layout @@ -508,7 +493,7 @@ We use data from the \emph{Ouster OS1-32} LiDAR sensor, which was configured to {\includegraphics[width=0.45\textwidth]{figures/data_subter_platform_photo.jpg} \label{fig:subter_platform_photo}} \hfill - \subfigure[Sensor layout and numbering. Components: 1 OS1-32 LiDAR, 2 mm-wave RADARs, 3 M1600 LiDAR, 4 OAK-D Pro camera, 5 LED flood-light, 6 IMU, 7 Intel NUC. See Table~\ref{tab:subter-sensors} for detailed specifications.] + \subfigure[Sensor layout and numbering. Components: 1 OS1-32 lidar, 2 mm-wave RADARs, 3 M1600 lidar, 4 OAK-D Pro camera, 5 LED flood-light, 6 IMU, 7 Intel NUC. See Table~\ref{tab:subter-sensors} for detailed specifications.] {\includegraphics[width=0.45\textwidth]{figures/data_subter_platform_sketch.png} \label{fig:subter_platform_sketch}} \caption{Robotic platform and sensor configuration used to record the dataset.} @@ -516,9 +501,9 @@ We use data from the \emph{Ouster OS1-32} LiDAR sensor, which was configured to \end{figure} -During the measurement campaign, a total of 14 experiments were conducted—10 prior to operating the artificial smoke machine (hereafter referred to as normal experiments) and 4 after it has already been running for some time (anomalous experiments). In 13 of these experiments, the sensor platform was in near-constant motion (either translating at roughly 1m/s or rotating), with only one anomalous experiment conducted while the platform remained stationary. Although this means we do not have two stationary experiments from the same exact position for a direct comparison between normal and anomalous conditions, the overall experiments are similar enough to allow for meaningful comparisons. In addition to the presence of water vapor from the smoke machine, the experiments vary in illumination conditions, the presence of humans on the measurement grounds, and additional static artifacts. For our purposes, only the artificial smoke is relevant; differences in lighting or incidental static objects do not affect our analysis. Regardless of illumination, the LiDAR sensor consistently produces comparable point clouds, and the presence of static objects does not influence our quantification of point cloud degradation. +During the measurement campaign, a total of 14 experiments were conducted—10 prior to operating the artificial smoke machine (hereafter referred to as normal experiments) and 4 after it has already been running for some time (anomalous experiments). In 13 of these experiments, the sensor platform was in near-constant motion (either translating at roughly 1m/s or rotating), with only one anomalous experiment conducted while the platform remained stationary. Although this means we do not have two stationary experiments from the same exact position for a direct comparison between normal and anomalous conditions, the overall experiments are similar enough to allow for meaningful comparisons. In addition to the presence of water vapor from the smoke machine, the experiments vary in illumination conditions, the presence of humans on the measurement grounds, and additional static artifacts. For our purposes, only the artificial smoke is relevant; differences in lighting or incidental static objects do not affect our analysis. Regardless of illumination, the lidar sensor consistently produces comparable point clouds, and the presence of static objects does not influence our quantification of point cloud degradation. -In the anomalous experiments, the artificial smoke machine appears to have been running for some time before data collection began, as evidenced by both camera images and LiDAR data showing an even distribution of water vapor around the machine. The stationary experiment is particularly unique: the smoke machine was positioned very close to the sensor platform and was actively generating new, dense smoke, to the extent that the LiDAR registered the surface of the fresh water vapor as if it were a solid object. +In the anomalous experiments, the artificial smoke machine appears to have been running for some time before data collection began, as evidenced by both camera images and lidar data showing an even distribution of water vapor around the machine. The stationary experiment is particularly unique: the smoke machine was positioned very close to the sensor platform and was actively generating new, dense smoke, to the extent that the lidar registered the surface of the fresh water vapor as if it were a solid object. The figures~\ref{fig:data_screenshot_pointcloud}~and~\ref{fig:data_screenshot_camera} show an representative depiction of the environment of the experiments as a camera image of the IR camera and the point cloud created by the OS1 lidar sensor at practically the same time. @@ -535,23 +520,23 @@ The artificial smoke introduces measurable changes that clearly separate the \te \fig{particles_near_sensor}{figures/particles_near_sensor_boxplot_zoomed_500.png}{Box diagram depicting the percentage of measurements closer than 50 centimeters to the sensor for normal and anomalous experiments} -Taken together, the percentage of missing points and the proportion of near-sensor returns provide a concise indication of how strongly the smoke degrades our scans—capturing the two most prominent aerosol effects, drop-outs and back-scatter spikes. They do not, however, reveal the full error landscape discussed earlier (compound errors, temperature drift, multipath, \dots), so they should be read as an easily computed synopsis rather than an exhaustive measure of LiDAR quality. Next we will discuss how the lidar scans were preprocessed before use and how we actually assigned ground-truth labels to each scan, so we could train and evaluate our quantification degradation methods. +Taken together, the percentage of missing points and the proportion of near-sensor returns provide a concise indication of how strongly the smoke degrades our scans—capturing the two most prominent aerosol effects, drop-outs and back-scatter spikes. They do not, however, reveal the full error landscape discussed earlier (compound errors, temperature drift, multipath, \dots), so they should be read as an easily computed synopsis rather than an exhaustive measure of lidar quality. Next we will discuss how the lidar scans were preprocessed before use and how we actually assigned ground-truth labels to each scan, so we could train and evaluate our quantification degradation methods. \newsection{preprocessing}{Preprocessing Steps and Labeling} As described in Section~\ref{sec:algorithm_description}, the method under evaluation is data type agnostic and can be adapted to work with any kind of data by choosing a suitable autoencoder architecture. In our case, the input data are point clouds produced by a lidar sensor. Each point cloud contains up to 65,536 points, with each point represented by its \emph{X}, \emph{Y}, and \emph{Z} coordinates. To tailor the Deep SAD architecture to this specific data type, we would need to design an autoencoder suitable for processing three-dimensional point clouds. Although autoencoders can be developed for various data types, \citetitle{autoencoder_survey}~\cite{autoencoder_survey} noted that over 60\% of recent research on autoencoders focuses on two-dimensional image classification and reconstruction. Consequently, there is a more established understanding of autoencoder architectures for images compared to those for three-dimensional point clouds. -For this reason and to simplify the architecture, we converted the point clouds into two-dimensional grayscale images using a spherical projection. This approach—proven sucessful in related work~\cite{degradation_quantification_rain}—encodes each LiDAR measurement as a single pixel, where the pixel’s grayscale value is determined by the reciprocal range, calculated as $v = \frac{1}{\sqrt{\emph{X}^2 + \emph{Y}^2 + \emph{Z}^2}}$. Given the LiDAR sensor's configuration, the resulting images have a resolution of 2048 pixels in width and 32 pixels in height. Missing measurements in the point cloud are mapped to pixels with a brightness value of $v = 0$. +For this reason and to simplify the architecture, we converted the point clouds into two-dimensional grayscale images using a spherical projection. This approach—proven sucessful in related work~\cite{degradation_quantification_rain}—encodes each lidar measurement as a single pixel, where the pixel’s grayscale value is determined by the reciprocal range, calculated as $v = \frac{1}{\sqrt{\emph{X}^2 + \emph{Y}^2 + \emph{Z}^2}}$. Given the lidar sensor's configuration, the resulting images have a resolution of 2048 pixels in width and 32 pixels in height. Missing measurements in the point cloud are mapped to pixels with a brightness value of $v = 0$. To create this mapping, we leveraged the available measurement indices and channel information inherent in the dense point clouds, which are ordered from 0 to 65,535 in a horizontally ascending, channel-by-channel manner. For sparser point clouds without such indices, one would need to rely on the pitch and yaw angles relative to the sensor's origin to correctly map each point to its corresponding pixel. -Figure~\ref{fig:data_projections} displays two examples of LiDAR point cloud projections to aid in the reader’s understanding. Although the original point clouds were converted into grayscale images with a resolution of 2048×32 pixels, these raw images can be challenging to interpret. To enhance human readability, we applied the viridis colormap and vertically stretched the images so that each measurement occupies multiple pixels in height. The top projection is derived from a scan without artificial smoke—and therefore minimal degradation—while the lower projection comes from an experiment where artificial smoke introduced significant degradation. +Figure~\ref{fig:data_projections} displays two examples of lidar point cloud projections to aid in the reader’s understanding. Although the original point clouds were converted into grayscale images with a resolution of 2048×32 pixels, these raw images can be challenging to interpret. To enhance human readability, we applied the viridis colormap and vertically stretched the images so that each measurement occupies multiple pixels in height. The top projection is derived from a scan without artificial smoke—and therefore minimal degradation—while the lower projection comes from an experiment where artificial smoke introduced significant degradation. \fig{data_projections}{figures/data_2d_projections.png}{Two-dimensional projections of two pointclouds, one from an experiment without degradation and one from an experiment with artifical smoke as degradation. To aid the readers perception, the images are vertically stretched and a colormap has been applied to the pixels' reciprocal range values, while the actual training data is grayscale.} -The remaining challenge, was labeling a large enough portion of the dataset in a reasonably accurate manner, whose difficulties and general approach we described in section~\ref{sec:data_req}. Since, to our knowledge, neither our chosen dataset nor any other publicly available dataset provide objective labels for LiDAR data degradation in the SAR domain, we had to define our own labeling approach. With objective measures of degradation unavailable, we explored alternative labeling methods—such as using the datas' statistical properties like the number of missing measurements per point cloud or the higher incidence of erroneous measurements near the sensor we described in section~\ref{sec:data_req}. Ultimately, we were concerned that these statistical approaches might lead the method to simply mimic the statistical evaluation rather than to quantify degradation in a generalized and robust manner. After considering these options, we decided to label all point clouds from experiments with artificial smoke as anomalies, while point clouds from experiments without smoke were labeled as normal data. This labeling strategy—based on the presence or absence of smoke—is fundamentally an environmental indicator, independent of the intrinsic data properties recorded during the experiments. +The remaining challenge, was labeling a large enough portion of the dataset in a reasonably accurate manner, whose difficulties and general approach we described in section~\ref{sec:data_req}. Since, to our knowledge, neither our chosen dataset nor any other publicly available dataset provide objective labels for lidar data degradation in the SAR domain, we had to define our own labeling approach. With objective measures of degradation unavailable, we explored alternative labeling methods—such as using the datas' statistical properties like the number of missing measurements per point cloud or the higher incidence of erroneous measurements near the sensor we described in section~\ref{sec:data_req}. Ultimately, we were concerned that these statistical approaches might lead the method to simply mimic the statistical evaluation rather than to quantify degradation in a generalized and robust manner. After considering these options, we decided to label all point clouds from experiments with artificial smoke as anomalies, while point clouds from experiments without smoke were labeled as normal data. This labeling strategy—based on the presence or absence of smoke—is fundamentally an environmental indicator, independent of the intrinsic data properties recorded during the experiments. The simplicity of this labeling approach has both advantages and disadvantages. On the positive side, it is easy to implement and creates a clear distinction between normal and anomalous data. However, its simplicity is also its drawback: some point clouds from experiments with artificial smoke do not exhibit perceptible degradation, yet they are still labeled as anomalies. The reason for this, is that during the three non-static anomalous experiments the sensor platform starts recording in a tunnel roughly 20 meters from the smoke machine's location. It starts by approaching the smoke machine, navigates close to the machine for some time and then leaves its perimeter once again. Since the artificical smoke's density is far larger near the machine it originates from, the time the sensor platform spent close to it produced highly degraded point clouds, whereas the temporal beginnings and ends of the anomalous experiments capture point clouds which are subjectively not degraded and appear similar to ones from the normal experiments. This effect is clearly illustrated by the degradation indicators which we talked about earlier-the proportion of missing points and the amount of erroneous points close to the sensor per pointcloud-as can be seen in figure~\ref{fig:data_anomalies_timeline}. @@ -592,18 +577,18 @@ DeepSAD's PyTorch implementation includes standardized datasets such as MNIST, C -The raw SubTER dataset is provided as one ROS bag file per experiment, each containing a dense 3D point cloud from the Ouster OS1-32 LiDAR. To streamline training and avoid repeated heavy computation, we project these point clouds offline into 2D “range images” and save them as NumPy arrays. We apply a spherical projection that maps each LiDAR measurement to a pixel in a 2D image of size Height × Width, where Height = number of vertical channels (32) and Width = measurements per rotation (2048). Instead of computing per-point azimuth and elevation angles at runtime, we exploit the sensor’s metadata: +The raw SubTER dataset is provided as one ROS bag file per experiment, each containing a dense 3D point cloud from the Ouster OS1-32 lidar. To streamline training and avoid repeated heavy computation, we project these point clouds offline into 2D “range images” and save them as NumPy arrays. We apply a spherical projection that maps each lidar measurement to a pixel in a 2D image of size Height × Width, where Height = number of vertical channels (32) and Width = measurements per rotation (2048). Instead of computing per-point azimuth and elevation angles at runtime, we exploit the sensor’s metadata: \begin{itemize} \item \textbf{Channel index:} directly gives the row (vertical position) of each measurement. \item \textbf{Measurement index:} by taking the measurement index modulo Width, we obtain the column (horizontal position) in the 360° sweep. \end{itemize} -The measurement index is only available because the SubTER data is dense—every possible channel × measurement pair appears in the bag, even if the LiDAR did not record a return. We can perform a direct 1:1 mapping without collision or missing entries. This avoids the ambiguities we previously encountered when reconstructing the projection via angle computations alone, which sometimes mapped multiple points to the same pixel due to numerical errors in angle estimation. +The measurement index is only available because the SubTER data is dense—every possible channel × measurement pair appears in the bag, even if the lidar did not record a return. We can perform a direct 1:1 mapping without collision or missing entries. This avoids the ambiguities we previously encountered when reconstructing the projection via angle computations alone, which sometimes mapped multiple points to the same pixel due to numerical errors in angle estimation. For each projected pixel, we compute $\mathbf{v}_i = \sqrt{{x_i}^2 + {y_i}^2 + {z_i}^2}$ where $\mathbf{v}_i$ is the reciprocal range value assigned to each pixel in the projection and $x_i, y_i$ and $z_i$ are the corresponding measurement's 3d coordinates. This transformation both compresses the dynamic range and emphasizes close-range returns—critical for detecting near-sensor degradation. We then save the resulting tensor of shape (Number of Frames, Height, Width) using NumPy’s save function. Storing precomputed projections allows rapid data loading during training and evaluation. -Many modern LiDARs can be configured to output range images directly which would bypass the need for post-hoc projection. When available, such native range-image streams can further simplify preprocessing or even allow skipping this step completely. +Many modern lidars can be configured to output range images directly which would bypass the need for post-hoc projection. When available, such native range-image streams can further simplify preprocessing or even allow skipping this step completely. \newsubsubsectionNoTOC{Any implementation challenges or custom data loaders} @@ -651,7 +636,7 @@ Since the neural network architecture trained in the deepsad method is not fixed The LeNet-inspired autoencoder can be split into an encoder network (figure~\ref{fig:setup_arch_lenet_encoder}) and a decoder network (figure~\ref{fig:setup_arch_lenet_decoder}) with a latent space inbetween the two parts. Such an arrangement is typical for autoencoder architectures as we discussed in section~\ref{sec:autoencoder}. The encoder network is simultaneously DeepSAD's main training architecture which is used to infer the degradation quantification in our use-case, once trained. \figc{setup_arch_lenet_encoder}{diagrams/arch_lenet_encoder}{ - Architecture of the LeNet-inspired encoder. The input is a LiDAR range image of size + Architecture of the LeNet-inspired encoder. The input is a lidar range image of size $1\times 2048\times 32$ (channels $\times$ width $\times$ height). The first block (Conv1) applies a $5\times 5$ convolution with 8 output channels, followed by batch normalization, LeakyReLU activation, and $2\times 2$ max pooling, resulting in a feature map of size $8\times 1024\times 16$. @@ -684,13 +669,13 @@ Even though the LeNet-inspired encoder proved capable of achieving our degradati \figc{setup_ef_concept}{figures/setup_ef_concept}{Receptive fields in a CNN. Each output activation aggregates information from a region of the input; stacking layers expands this region, while kernel size, stride, and padding control how quickly it grows and what shape it takes. (A) illustrates slower, fine-grained growth; (B) shows faster expansion, producing a larger—potentially anisotropic—receptive field and highlighting the trade-off between detail and context. Reproduced from~\cite{ef_concept_source}}{width=.6\textwidth} -The RF shape's issue arises from the fact that spinning multi-beam LiDAR oftentimes produce point clouds posessing dense horizontal but limited vertical resolution. In our case this, this results in a pixel-per-degree resolution of approximately $5.69\,\sfrac{pixel}{deg}$ vertically and $1.01\,\sfrac{pixel}{deg}$ horizontally. Consequently, the LeNet-inspired encoder’s calculated receptive field of $16 \times 16$ pixels translates to an angular size of $15.88^{\circ} \times 2.81^{\circ}$, which is highly rectangular in angular space. Such a mismatch risks limiting the network’s ability to capture degradation patterns that extend differently across the two axes. +The RF shape's issue arises from the fact that spinning multi-beam lidar oftentimes produce point clouds posessing dense horizontal but limited vertical resolution. In our case this, this results in a pixel-per-degree resolution of approximately $5.69\,\sfrac{pixel}{deg}$ vertically and $1.01\,\sfrac{pixel}{deg}$ horizontally. Consequently, the LeNet-inspired encoder’s calculated receptive field of $16 \times 16$ pixels translates to an angular size of $15.88^{\circ} \times 2.81^{\circ}$, which is highly rectangular in angular space. Such a mismatch risks limiting the network’s ability to capture degradation patterns that extend differently across the two axes. To adjust for this, we decided to modify the network architecture and included further modificatons to improve the method's performance. The encoder (see figure~\ref{fig:setup_arch_ef_encoder}) follows the same general idea as the LeNet-inspired encoder, but incorporates the following modificatons: \begin{itemize} \item \textbf{Non-square convolution kernels.} Depthwise-separable convolutions with kernel size $3 \times 17$ are used instead of square kernels, resulting in an RF of $10 \times 52$ pixels, corresponding to $9.93^{\circ} \times 9.14^{\circ}$, substantially more balanced than the LeNet-inspired network's RF. - \item \textbf{Circular padding along azimuth.} The horizontal axis is circularly padded to respect the wrap-around of $360^{\circ}$ LiDAR data, preventing artificial seams at the image boundaries. + \item \textbf{Circular padding along azimuth.} The horizontal axis is circularly padded to respect the wrap-around of $360^{\circ}$ lidar data, preventing artificial seams at the image boundaries. \item \textbf{Aggressive horizontal pooling.} A $1 \times 4$ pooling operation is applied early in the network, which reduces the over-sampled horizontal resolution (2048~px to 512~px) while keeping vertical detail intact. \item \textbf{Depthwise-separable convolutions with channel shuffle.} Inspired by MobileNet and ShuffleNet, this reduces the number of parameters and computations while retaining representational capacity, making the network more suitable for embedded platforms, while simultaneously allowing more learnable channels without increasing computational demand. \item \textbf{Max pooling.} Standard max pooling is used instead of average pooling, since it preserves sharp activations that are often indicative of localized degradation. @@ -698,7 +683,7 @@ To adjust for this, we decided to modify the network architecture and included f \end{itemize} \fig{setup_arch_ef_encoder}{diagrams/arch_ef_encoder}{ - Architecture of the Efficient encoder. The input is a LiDAR range image of size + Architecture of the Efficient encoder. The input is a lidar range image of size $1 \times 2048 \times 32$ (channels $\times$ width $\times$ height). The first block (\textbf{Conv1}) applies a depthwise–separable $3 \times 17$ convolution with circular padding along the azimuth, followed by batch normalization, LeakyReLU, @@ -720,7 +705,7 @@ The decoder (see figure~\ref{fig:setup_arch_ef_decoder}) mirrors the encoder’s \begin{itemize} \item \textbf{Nearest-neighbor upsampling followed by convolution.} Instead of relying solely on transposed convolutions, each upsampling stage first enlarges the feature map using parameter-free nearest-neighbor interpolation, followed by a depthwise-separable convolution. This strategy reduces the risk of checkerboard artifacts while still allowing the network to learn fine detail. \item \textbf{Asymmetric upsampling schedule.} Horizontal resolution is restored more aggressively (e.g., scale factor $1 \times 4$) to reflect the anisotropic downsampling performed in the encoder. - \item \textbf{Final convolution with circular padding.} The output is generated using a $(3 \times 17)$ convolution with circular padding along the azimuth similar to the new encoder, ensuring consistent treatment of the 360° LiDAR input. + \item \textbf{Final convolution with circular padding.} The output is generated using a $(3 \times 17)$ convolution with circular padding along the azimuth similar to the new encoder, ensuring consistent treatment of the 360° lidar input. \end{itemize} \fig{setup_arch_ef_decoder}{diagrams/arch_ef_decoder}{ @@ -768,11 +753,11 @@ To compare the computational efficiency of the two architectures we show the num \newsubsubsectionNoTOC{Baseline methods (Isolation Forest, one-class SVM) and feature extraction via the encoder} -To contextualize the performance of DeepSAD, we compare against two widely used baselines: Isolation Forest and One-Class SVM (OCSVM). Both are included in the original DeepSAD codebase and the associated paper, and they represent well-understood but conceptually different families of anomaly detection. In our setting, the raw input dimensionality ($2048 \times 32$ per frame) is too high for a direct OCSVM fit, so we reuse the DeepSAD autoencoder’s \emph{encoder} as a learned dimensionality reduction (to the same latent size as DeepSAD). This choice is motivated by practicality (compute) and inductive bias: the encoder captures non-linear, domain-specific structure of the LiDAR range images, which linear methods like PCA may miss. Together, these two baselines cover complementary perspectives: tree-based partitioning (Isolation Forest) and kernel-based boundary learning (OCSVM), providing a broad and well-established basis for comparison. +To contextualize the performance of DeepSAD, we compare against two widely used baselines: Isolation Forest and One-Class SVM (OCSVM). Both are included in the original DeepSAD codebase and the associated paper, and they represent well-understood but conceptually different families of anomaly detection. In our setting, the raw input dimensionality ($2048 \times 32$ per frame) is too high for a direct OCSVM fit, so we reuse the DeepSAD autoencoder’s \emph{encoder} as a learned dimensionality reduction (to the same latent size as DeepSAD). This choice is motivated by practicality (compute) and inductive bias: the encoder captures non-linear, domain-specific structure of the lidar range images, which linear methods like PCA may miss. Together, these two baselines cover complementary perspectives: tree-based partitioning (Isolation Forest) and kernel-based boundary learning (OCSVM), providing a broad and well-established basis for comparison. Isolation Forest is an ensemble method for anomaly detection that builds on the principle that anomalies are easier to separate from the rest of the data. It constructs many binary decision trees, each by recursively splitting the data at randomly chosen features and thresholds. In this process, the “training” step consists of building the forest of trees: each tree captures different random partitions of the input space, and together they form a diverse set of perspectives on how easily individual samples can be isolated. -Once trained, the method assigns an anomaly score to new samples by measuring their average path length through the trees. Normal samples, being surrounded by other similar samples, typically require many recursive splits and thus end up deep in the trees. Anomalies, by contrast, stand out in one or more features, which means they can be separated much earlier and end up closer to the root. The shorter the average path length, the more anomalous the sample is considered. This makes Isolation Forest highly scalable and robust: training is efficient since no explicit density estimation is required, and the resulting model is fast to apply to new data. In our setup, we apply Isolation Forest directly to the LiDAR input representation, providing a strong non-neural baseline for comparison against DeepSAD. +Once trained, the method assigns an anomaly score to new samples by measuring their average path length through the trees. Normal samples, being surrounded by other similar samples, typically require many recursive splits and thus end up deep in the trees. Anomalies, by contrast, stand out in one or more features, which means they can be separated much earlier and end up closer to the root. The shorter the average path length, the more anomalous the sample is considered. This makes Isolation Forest highly scalable and robust: training is efficient since no explicit density estimation is required, and the resulting model is fast to apply to new data. In our setup, we apply Isolation Forest directly to the lidar input representation, providing a strong non-neural baseline for comparison against DeepSAD. While Isolation Forest relies on random partitioning of the input space, OCSVM takes a very different approach by learning a flexible boundary around normal samples. OCSVM is trained only on data assumed to be normal, with the goal of enclosing the majority of these samples in such a way that new points lying outside this boundary can be identified as anomalies. @@ -1047,7 +1032,7 @@ Table~\ref{tab:results_ap} summarizes average precision (AP) across latent dimen The precision--recall curves (Figure~\ref{fig:prc_representative}) illustrate these effects more clearly. For DeepSAD, precision stays close to 1 until about 0.5 recall, after which it drops off sharply. This plateau corresponds to the fraction of truly degraded frames in the anomalous set. Once recall moves beyond this point, the evaluation demands that the model also “find” the mislabeled anomalies near the run boundaries. To do so, the decision threshold must be lowered so far that many normal frames are also flagged, which causes precision to collapse. The baselines behave differently: OC-SVM shows a smooth but weaker decline without a strong high-precision plateau, while Isolation Forest collapses to near-random performance. These operational differences are hidden in a single AP number but are important for judging how the methods would behave in deployment. -Taken together, the two evaluation schemes provide complementary insights. The experiment-based labels offer a noisy but realistic setting that shows how methods cope with ambiguous data, while the hand-labeled labels confirm that DeepSAD can achieve nearly perfect separation when the ground truth is clean. The combination of both evaluations makes clear that (i) DeepSAD is stronger than the baselines under both conditions, (ii) the apparent performance limits under experiment-based labels are mainly due to label noise, and (iii) interpreting results requires care, since performance drops in the curves often reflect mislabeled samples rather than model failures. At the same time, both schemes remain binary classifications and therefore cannot directly evaluate the central question of whether anomaly scores can serve as a continuous measure of degradation. For this reason, we extend the analysis in Section~\ref{sec:results_inference}, where inference on entire unseen experiments is used to provide a more intuitive demonstration of the methods’ potential for quantifying LiDAR degradation in practice. +Taken together, the two evaluation schemes provide complementary insights. The experiment-based labels offer a noisy but realistic setting that shows how methods cope with ambiguous data, while the hand-labeled labels confirm that DeepSAD can achieve nearly perfect separation when the ground truth is clean. The combination of both evaluations makes clear that (i) DeepSAD is stronger than the baselines under both conditions, (ii) the apparent performance limits under experiment-based labels are mainly due to label noise, and (iii) interpreting results requires care, since performance drops in the curves often reflect mislabeled samples rather than model failures. At the same time, both schemes remain binary classifications and therefore cannot directly evaluate the central question of whether anomaly scores can serve as a continuous measure of degradation. For this reason, we extend the analysis in Section~\ref{sec:results_inference}, where inference on entire unseen experiments is used to provide a more intuitive demonstration of the methods’ potential for quantifying lidar degradation in practice. \fig{prc_representative}{figures/results_prc.png}{Representative precision–recall curves over all latent dimensionalities for semi-labeling regime 0/0 from experiment-based evaluation labels. DeepSAD maintains a large high-precision operating region before collapsing; OC-SVM declines smoother but exhibits high standard deviation between folds; IsoForest collapses quickly and remains flat. DeepSAD's fall-off is at least partly due to known mislabeled evaluation targets.} @@ -1080,10 +1065,10 @@ In summary, three consistent patterns emerge: (i) a very small number of labels In addition to the evaluation of average precision and precision--recall curves obtained from $k$-fold cross-validation with varying hyperparameters, we also examine the behavior of the fully trained methods when applied to previously unseen, held-out experiments. While the prior analysis provided valuable insights into the classification capabilities of the methods, it was limited by two factors: first, the binary ground-truth labels were of uneven quality due to aforementioned mislabeling of frames, and second, the binary formulation does not reflect our overarching goal of quantifying sensor degradation on a continuous scale. To provide a more intuitive understanding of how the methods might perform in real-world applications, we therefore present results from running inference sequentially on entire experiments. -These frame-by-frame time-axis plots simulate online inference and illustrate how anomaly scores evolve as data is captured, thereby serving as a candidate metric for quantifying the degree of LiDAR degradation during operation. +These frame-by-frame time-axis plots simulate online inference and illustrate how anomaly scores evolve as data is captured, thereby serving as a candidate metric for quantifying the degree of lidar degradation during operation. -\fig{results_inference_normal_vs_degraded}{figures/results_inference_normal_vs_degraded.png}{Comparison of anomaly detection methods with statistical indicators across clean (dashed) and degraded (solid) experiments. Each subplot shows one method (DeepSAD--LeNet, DeepSAD--Efficient, OCSVM, Isolation Forest). Red curves denote method anomaly scores normalized to the clean experiment; blue and green curves denote the percentage of missing LiDAR points and near-sensor particle hits, respectively. Clear separation between clean and degraded runs is observed for the DeepSAD variants and, to a lesser degree, for OCSVM, while Isolation Forest produces high scores even in the clean experiment. Latent Space Dimensionality was 32 and semi-supervised labeling regime was 0 normal and 0 anomalous samples during training.} +\fig{results_inference_normal_vs_degraded}{figures/results_inference_normal_vs_degraded.png}{Comparison of anomaly detection methods with statistical indicators across clean (dashed) and degraded (solid) experiments. Each subplot shows one method (DeepSAD--LeNet, DeepSAD--Efficient, OCSVM, Isolation Forest). Red curves denote method anomaly scores normalized to the clean experiment; blue and green curves denote the percentage of missing lidar points and near-sensor particle hits, respectively. Clear separation between clean and degraded runs is observed for the DeepSAD variants and, to a lesser degree, for OCSVM, while Isolation Forest produces high scores even in the clean experiment. Latent Space Dimensionality was 32 and semi-supervised labeling regime was 0 normal and 0 anomalous samples during training.} The plots in Fig.~\ref{fig:results_inference_normal_vs_degraded} highlight important differences in how well the tested methods distinguish between normal and degraded sensor conditions. Among the four approaches, the strongest separation is achieved by DeepSAD (Efficient), followed by DeepSAD (LeNet), then OCSVM. diff --git a/thesis/thesis_preamble/acknowledgements.tex b/thesis/thesis_preamble/acknowledgements.tex index 1d081f4..80f91fd 100755 --- a/thesis/thesis_preamble/acknowledgements.tex +++ b/thesis/thesis_preamble/acknowledgements.tex @@ -1,3 +1,3 @@ -\addcontentsline{toc}{chapter}{Acknowledgements} -\begin{center}\Large\bfseries Acknowledgements\end{center}\vspace*{1cm}\noindent -Here you can tell us, how thankful you are for this amazing template ;) \ No newline at end of file +\addcontentsline{toc}{chapter}{Artifical Intelligence Usage Disclaimer} +\begin{center}\Large\bfseries Artifical Intelligence Usage Disclaimer\end{center}\vspace*{1cm}\noindent +During the creation of this thesis an LLM-based Artifical Intelligence tool was used for stylistic and grammatical revision of the author's own work.