Exploration is essential in reinforcement learning, particularly in environments where external rewards are sparse. Here we focus on exploration with intrinsic rewards, where the agent transiently augments the external rewards with self-generated intrinsic rewards.

Diffusion models are powerful, but they require a lot of time and data to train. We propose Patch Diffusion, a generic patch-wise training framework, to significantly reduce the training time costs while improving data efficiency, which thus helps democratize diffusion model training to broader users. At the core of our innovations is a new conditional score function at the patch level, where the patch location in the original image is included as additional coordinate channels, while the patch size is randomized and diversified throughout training to encode the cross-region dependency at multiple scales. Sampling with our method is as easy as in the original diffusion model.

The process for calculating these metrics is described in Appendix C. Moreover, to ensure the comparability between prediction performance metrics and driving performance metrics in the radar plot, we normalize all metrics to the scale of [0, 1]. In the subsequent section, we provide an overview of the DESPOT planner. These two values can only be inferred from history. The safety is represented by the normalized collision rate.

Comments on Theorem 3.2 With the primal problem in (6) in the paper, Theorem 3.2 provides Additionally, [27] presents the optimization w.r.t. a single projection direction in Therefore, our KSVD is more general in the data setups. Remark 3.3, we show that the values can be regarded as playing the role of the dual variables Using data-dependent projection weights does not affect the derivation of the shifted eigenvalue problem in the dual. With the derivations of the primal-dual optimization problems above, the primal-dual model representation of our KSVD problem can be provided correspondingly. Lemma 4.2 evaluates the objective value Moreover, as in the proof of Theorem 3.2, we note that the regularization coefficient This section provides the implementation details of all experiments included in the paper. This will be illustrated in details in the following.Algorithm 1 Learning with Primal-AttentionRequire: X:= [ x UEA Time Series The UEA time series benchmark [31] consists of 30 datasets. Following the setup in [11], we select 10 datasets for evaluation.

Furthermore, the theoretical guarantees of the transitivity and aggregation error bound are justified.

Recently, neural heuristics based on deep reinforcement learning have exhibited promise in solving multi-objective combinatorial optimization problems (MO-COPs).