11 accepted papers
This paper investigates low-rank structure in the gradients of the training loss for two-layer neural networks while relaxing the usual isotropy assumptions on the training data and parameters. We consider a spiked data model in which the bulk can be anisotropic and ill-conditioned, we do not requir…
The problem of benign overfitting asks whether it is possible for a model to perfectly fit noisy training data and still generalize well. We study benign overfitting in two-layer leaky ReLU networks trained with the hinge loss on a binary classification task. We consider input data which can be deco…
Bounds on the smallest eigenvalue of the neural tangent kernel (NTK) are a key ingredient in the analysis of neural network optimization and memorization. However, existing results require distributional assumptions on the data and are limited to a high-dimensional setting, where the input dimension…
Programming by Demonstration (PbD) is an intuitive technique for programming robot manipulation skills by demonstrating the desired behavior. However, most existing approaches either require extensive demonstrations or fail to generalize beyond their initial demonstration conditions. We introduce Di…
Modern warehouses process millions of unique objects which are often stored in densely packed containers. To automate tasks in this environment, a robot must be able to pick diverse objects from highly cluttered scenes. Real-world learning is a promising approach, but executing picks in the real wor…
We introduce a modular, neuro-symbolic framework for teaching robots new skills through language and visual demonstration. Our approach, ShowTell, composes a mixture of foundation models to synthesize robot manipulation programs that are easy to interpret and generalize across a wide range of tasks…
Under mild conditions on the network initialization we derive a power series expansion for the Neural Tangent Kernel (NTK) of arbitrarily deep feedforward networks in the infinite width limit. We provide expressions for the coefficients of this power series which depend on both the Hermite coefficie…
We study benign overfitting in two-layer ReLU networks trained using gradient descent and hinge loss on noisy data for binary classification. In particular, we consider linearly separable data for which a relatively small proportion of labels are corrupted or flipped. We identify conditions on the m…
We study the challenging problem of following natural language instructions on a mobile manipulator robot. This task is challenging because it requires the robot to integrate the semantics of the unconstrained natural language instructions with the robot’s egocentric visual observations of the envir
Backchanneling behaviors on a robot, such as nodding, can make talking to a robot feel more natural and engaging by giving a sense that the robot is actively listening. For backchanneling to be effective, it is important that the timing of such cues is appropriate given the humans' conversational be…
Robots navigating in human environments should use language to ask for assistance and be able to understand human responses. To study this challenge, we introduce Cooperative Vision-and-Dialog Navigation, a dataset of over 2k embodied, human-human dialogs situated in simulated, photorealistic home e