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Supplementary material for " Towards a Unified Analysis of Kernel-based Methods Under Covariate Shift "

Neural Information Processing Systems

The supplemental material is organized as follows. Section A provides the results of all the additional synthetic experiments and real data results for various kernel-based methods and the detailed settings. Section B describes the algorithm details we use in Section A. In Section C, we provide some useful lemmas and all the technical proofs of the theoretical results in the main text. In this section, we provide more experiment results, including KRR (Section A.1), KQR for various Section A.7. A.1 Kernel ridge regression For the squared loss, we consider the following two examples. TIRW estimator still performs significantly better. A.2 Kernel quantile regression For the check loss, we consider the following two examples.





A Additional qualitative results

Neural Information Processing Systems

We begin by illustrating successful verification results in Appendix A.1, To further contextualize our TP's advantages, we juxtapose these standard HRs encompass a multitude of verified patches; for visual clarity, we've outlined the SIFT points A.2 Standard verification results: compared with SP Hence, our method suitably ranks these accurate index images highly. We further evaluate our topological verification outcomes against those of the SP method. In addition to successful verification instances, we also explore cases where our method fails. Regions (HRs) identified by our method on ROxford. Regarding false negative cases, our method fails to detect any HRs.




RETVec: Resilient and Efficient Text Vectorizer

Neural Information Processing Systems

This paper describes RETV ec, an efficient, resilient, and multilingual text vec-torizer designed for neural-based text processing. RETV ec combines a novel character encoding with an optional small embedding model to embed words into a 256-dimensional vector space. The RETV ec embedding model is pre-trained using pair-wise metric learning to be robust against typos and character-level adversarial attacks. In this paper, we evaluate and compare RETV ec to state-of-the-art vectorizers and word embeddings on popular model architectures and datasets. These comparisons demonstrate that RETV ec leads to competitive, multilingual models that are significantly more resilient to typos and adversarial text attacks.