M-SYNTH is organized into a directory structure that indicates the parameters. Code and dataset is released with the Creative Commons 1.0 Universal License We now review the timing required to perform mass insertion and imaging. In Table 2, we review the imaging time required for each breast density. The time varies from 2.84 GPU), we were able to generate the complete dataset in about two weeks.Breast Density Time (min) Fatty 13.463809 Scattered 11.002291 Hetero 3.655613 Dense 2.842028 Table 2: Timing analysis for imaging by breast density. Additional renderings of the breast phantoms generated for the study are shown in Figure 1, demonstrating a high level of detail and anatomical variability within and among models.

The number of cleaned counter-examples across data sets and models is more than 30% of the total number of cleaned examples. FIM-based approaches outperform the LISSA estimator. FIM, which is difficult to store and invert. Figure 3 shows the results of the evaluation of Top Fisher, Practical Fisher and nearest neighbor (NN). As reported in the main text, Practical Fisher lags behind Top Fisher in all cases.

The appendices are organized as follows: Sec. B. Finally, we show details for STL-C and ConceptFactory asset In this paper, we present the idea of ConceptFactory to facilitate more efficient annotation of 3D object knowledge by recognizing 3D objects through generalized concepts. We assume the reasons are that i) the data ( e.g. We will continue to work on extending ConceptFactory to natural objects to make our idea stronger. A.2, ConceptFactory is currently developed on human-made objects and does The data that used in this study are all publicly available, and are used under their licenses for the current study.

M-SYNTH is organized into a directory structure that indicates the parameters. Code and dataset is released with the Creative Commons 1.0 Universal License We now review the timing required to perform mass insertion and imaging. In Table 2, we review the imaging time required for each breast density. The time varies from 2.84 GPU), we were able to generate the complete dataset in about two weeks.Breast Density Time (min) Fatty 13.463809 Scattered 11.002291 Hetero 3.655613 Dense 2.842028 Table 2: Timing analysis for imaging by breast density. Additional renderings of the breast phantoms generated for the study are shown in Figure 1, demonstrating a high level of detail and anatomical variability within and among models.

There exist numerous ways of representing 3D orientations. Each representation has both limitations and unique features. Choosing the best representation for one task is often a difficult chore, and there exist conflicting opinions on which representation is better suited for a set of family of tasks. Even worse, when dealing with scenarios where we need to learn or optimize functions with orientations as inputs and/or outputs, the set of possibilities (representations, loss functions, etc.) is even larger and it is not easy to decide what is best for each scenario. In this paper, we attempt to a) present clearly, concisely and with unified notation all available representations, and "tricks" related to 3D orientations (including Lie Group algebra), and b) benchmark them in representative scenarios. The first part feels like it is missing from the robotics literature as one has to read many different textbooks and papers in order have a concise and clear understanding of all possibilities, while the benchmark is necessary in order to come up with recommendations based on empirical evidence. More precisely, we experiment with the following settings that attempt to cover most widely used scenarios in robotics: 1) direct optimization, 2) imitation/supervised learning with a neural network controller, 3) reinforcement learning, and 4) trajectory optimization using differential dynamic programming. We finally provide guidelines depending on the scenario, and make available a reference implementation of all the orientation math described.

Autonomous space robotics is poised to play a vital role in future space missions, particularly for In-space Servicing, Assembly, and Manufacturing (ISAM). A key capability in such missions is the Robot-to-Robot (R2R) handover of mission-critical objects. This work presents a dynamic model of a dual-arm space manipulator system and compares various tracking control laws. The key contributions of this work are the development of a cooperative manipulator dynamic model and the comparative analysis of control laws to support autonomous R2R handovers in ISAM scenarios. INTRODUCTION The global space industry has grown significantly over the past decade and is expected to continue expanding. In-space Servicing, Assembly, and Manufacturing (ISAM) is emerging as a transfor-mative approach to space operations.

The number of cleaned counter-examples across data sets and models is more than 30% of the total number of cleaned examples. FIM-based approaches outperform the LISSA estimator. FIM, which is difficult to store and invert. Figure 3 shows the results of the evaluation of Top Fisher, Practical Fisher and nearest neighbor (NN). As reported in the main text, Practical Fisher lags behind Top Fisher in all cases.

Diffusion models have achieved remarkable success across a wide range of generative tasks. A key challenge is understanding the mechanisms that prevent their memorization of training data and allow generalization. In this work, we investigate the role of the training dynamics in the transition from generalization to memorization. Through extensive experiments and theoretical analysis, we identify two distinct timescales: an early time $τ_\mathrm{gen}$ at which models begin to generate high-quality samples, and a later time $τ_\mathrm{mem}$ beyond which memorization emerges. Crucially, we find that $τ_\mathrm{mem}$ increases linearly with the training set size $n$, while $τ_\mathrm{gen}$ remains constant. This creates a growing window of training times with $n$ where models generalize effectively, despite showing strong memorization if training continues beyond it. It is only when $n$ becomes larger than a model-dependent threshold that overfitting disappears at infinite training times. These findings reveal a form of implicit dynamical regularization in the training dynamics, which allow to avoid memorization even in highly overparameterized settings. Our results are supported by numerical experiments with standard U-Net architectures on realistic and synthetic datasets, and by a theoretical analysis using a tractable random features model studied in the high-dimensional limit.

Discrete transforms, such as the discrete Fourier transform, a re widely used in machine learning to improve model performance by extracting mea ningful features. However, with numerous transforms available, selectin g an appropriate one often depends on understanding the dataset's proper ties, making the approach less effective when such knowledge is unavailable. In th is work, we propose General Transform (GT), an adaptive transform-ba sed representation designed for machine learning applications. Unlike convent ional transforms, GT learns data-driven mapping tailored to the datase t and task of interest. Here, we demonstrate that models incorporating GT o utperform conventional transform-based approaches across computer v ision and natural language processing tasks, highlighting its effectiveness in diverse learning scenarios. Keywords: machine learning, deep learning, feature extraction 1. Introduction Deep neural networks have consistently pushed the boundaries o f performance on tasks in computer vision, natural language processing, a nd beyond. Corresponding author Email address: bgekko@quemix.com