\relax 
\bibstyle{plainnat}
\providecommand\hyper@newdestlabel[2]{}
\providecommand\HyField@AuxAddToFields[1]{}
\providecommand\HyField@AuxAddToCoFields[2]{}
\citation{su2019omnianomaly}
\citation{hundman2018detecting}
\citation{mathur2016swat}
\citation{xu2022anomaly,yang2023dcdetector,wu2023timesnet}
\citation{zhou2022fedformer}
\@writefile{toc}{\contentsline {section}{\numberline {1}Introduction}{1}{section.1}\protected@file@percent }
\newlabel{sec:intro}{{1}{1}{Introduction}{section.1}{}}
\citation{chen2020simclr}
\citation{siffer2017anomaly}
\citation{xu2022anomaly}
\citation{su2019omnianomaly}
\citation{park2018multimodal}
\citation{audibert2020usad}
\citation{xu2022anomaly}
\citation{yang2023dcdetector}
\citation{wu2023timesnet}
\citation{tuli2022tranad}
\citation{wu2021autoformer}
\citation{zhou2022fedformer}
\citation{yang2023dcdetector}
\citation{chen2020simclr}
\citation{siffer2017anomaly}
\def\@LN@column{1}
\@writefile{toc}{\contentsline {section}{\numberline {2}Related Work}{2}{section.2}\protected@file@percent }
\newlabel{sec:related}{{2}{2}{Related Work}{section.2}{}}
\@writefile{toc}{\contentsline {paragraph}{Deep learning for time-series anomaly detection.}{2}{paragraph*.1}\protected@file@percent }
\@writefile{toc}{\contentsline {paragraph}{Frequency-domain methods.}{2}{paragraph*.2}\protected@file@percent }
\@writefile{toc}{\contentsline {paragraph}{Contrastive learning for anomaly detection.}{2}{paragraph*.3}\protected@file@percent }
\def\@LN@column{1}
\@writefile{toc}{\contentsline {paragraph}{Threshold calibration.}{3}{paragraph*.4}\protected@file@percent }
\@writefile{toc}{\contentsline {section}{\numberline {3}Method}{3}{section.3}\protected@file@percent }
\newlabel{sec:method}{{3}{3}{Method}{section.3}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {3.1}Spectral Branch}{3}{subsection.3.1}\protected@file@percent }
\newlabel{sec:spectral}{{3.1}{3}{Spectral Branch}{subsection.3.1}{}}
\@writefile{toc}{\contentsline {paragraph}{Frequency selection.}{3}{paragraph*.5}\protected@file@percent }
\@writefile{toc}{\contentsline {paragraph}{Spectral attention.}{3}{paragraph*.6}\protected@file@percent }
\@writefile{toc}{\contentsline {subsection}{\numberline {3.2}Temporal Branch}{3}{subsection.3.2}\protected@file@percent }
\newlabel{sec:temporal}{{3.2}{3}{Temporal Branch}{subsection.3.2}{}}
\citation{chen2020simclr}
\citation{hundman2018detecting}
\citation{hundman2018detecting}
\citation{mathur2016swat}
\citation{abdulaal2021psm}
\def\@LN@column{1}
\@writefile{toc}{\contentsline {subsection}{\numberline {3.3}Cross-Attention Gate}{4}{subsection.3.3}\protected@file@percent }
\newlabel{sec:gate}{{3.3}{4}{Cross-Attention Gate}{subsection.3.3}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {3.4}Anomaly Scoring and Training Objective}{4}{subsection.3.4}\protected@file@percent }
\newlabel{sec:training}{{3.4}{4}{Anomaly Scoring and Training Objective}{subsection.3.4}{}}
\@writefile{toc}{\contentsline {paragraph}{Scoring head.}{4}{paragraph*.7}\protected@file@percent }
\@writefile{toc}{\contentsline {paragraph}{Training objective.}{4}{paragraph*.8}\protected@file@percent }
\@writefile{toc}{\contentsline {subsection}{\numberline {3.5}EVT Threshold Calibration}{4}{subsection.3.5}\protected@file@percent }
\newlabel{sec:evt}{{3.5}{4}{EVT Threshold Calibration}{subsection.3.5}{}}
\citation{xu2022anomaly}
\citation{park2018multimodal}
\citation{su2019omnianomaly}
\citation{audibert2020usad}
\citation{zhou2022fedformer}
\citation{xu2022anomaly}
\citation{wu2023timesnet}
\citation{yang2023dcdetector}
\@writefile{lot}{\contentsline {table}{\numberline {1}{\ignorespaces Point-adjust F1 (\%) on five multivariate time-series anomaly detection benchmarks. Best results in \textbf  {bold}, second-best \underline  {underlined}. $\Delta $ denotes improvement over the previous best.}}{5}{table.caption.13}\protected@file@percent }
\providecommand*\caption@xref[2]{\@setref\relax\@undefined{#1}}
\newlabel{tab:main}{{1}{5}{Point-adjust F1 (\%) on five multivariate time-series anomaly detection benchmarks. Best results in \textbf {bold}, second-best \underline {underlined}. $\Delta $ denotes improvement over the previous best}{table.caption.13}{}}
\def\@LN@column{1}
\@writefile{toc}{\contentsline {section}{\numberline {4}Experiments}{5}{section.4}\protected@file@percent }
\newlabel{sec:experiments}{{4}{5}{Experiments}{section.4}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {4.1}Setup}{5}{subsection.4.1}\protected@file@percent }
\newlabel{sec:setup}{{4.1}{5}{Setup}{subsection.4.1}{}}
\@writefile{toc}{\contentsline {paragraph}{Datasets.}{5}{paragraph*.9}\protected@file@percent }
\@writefile{toc}{\contentsline {paragraph}{Evaluation protocol.}{5}{paragraph*.10}\protected@file@percent }
\@writefile{toc}{\contentsline {paragraph}{Baselines.}{5}{paragraph*.11}\protected@file@percent }
\@writefile{toc}{\contentsline {paragraph}{Implementation details.}{5}{paragraph*.12}\protected@file@percent }
\@writefile{toc}{\contentsline {subsection}{\numberline {4.2}Main Results}{5}{subsection.4.2}\protected@file@percent }
\newlabel{sec:main_results}{{4.2}{5}{Main Results}{subsection.4.2}{}}
\@writefile{lot}{\contentsline {table}{\numberline {2}{\ignorespaces Precision, recall, and raw F1 (\%, without point-adjust) for STAN\xspace  .}}{6}{table.caption.14}\protected@file@percent }
\newlabel{tab:precision_recall}{{2}{6}{Precision, recall, and raw F1 (\%, without point-adjust) for \method }{table.caption.14}{}}
\@writefile{lot}{\contentsline {table}{\numberline {3}{\ignorespaces Component ablation: average F1 (\%) across five benchmarks.}}{6}{table.caption.16}\protected@file@percent }
\newlabel{tab:ablation_components}{{3}{6}{Component ablation: average F1 (\%) across five benchmarks}{table.caption.16}{}}
\def\@LN@column{1}
\@writefile{toc}{\contentsline {subsection}{\numberline {4.3}Ablation Studies}{6}{subsection.4.3}\protected@file@percent }
\newlabel{sec:ablation}{{4.3}{6}{Ablation Studies}{subsection.4.3}{}}
\@writefile{toc}{\contentsline {paragraph}{Component removal (Table~\ref {tab:ablation_components}).}{6}{paragraph*.15}\protected@file@percent }
\@writefile{toc}{\contentsline {paragraph}{Hyperparameter sensitivity.}{6}{paragraph*.17}\protected@file@percent }
\@writefile{toc}{\contentsline {subsection}{\numberline {4.4}Efficiency}{6}{subsection.4.4}\protected@file@percent }
\newlabel{sec:efficiency}{{4.4}{6}{Efficiency}{subsection.4.4}{}}
\citation{xu2022anomaly}
\citation{kim2022towards}
\@writefile{lot}{\contentsline {table}{\numberline {4}{\ignorespaces Hyperparameter sensitivity: average F1 (\%) across five benchmarks. Default (optimal) values marked with $\star $.}}{7}{table.caption.18}\protected@file@percent }
\newlabel{tab:ablation_hyper}{{4}{7}{Hyperparameter sensitivity: average F1 (\%) across five benchmarks. Default (optimal) values marked with $\star $}{table.caption.18}{}}
\@writefile{lot}{\contentsline {table}{\numberline {5}{\ignorespaces Efficiency comparison (NVIDIA A100, batch size 64).}}{7}{table.caption.19}\protected@file@percent }
\newlabel{tab:efficiency}{{5}{7}{Efficiency comparison (NVIDIA A100, batch size 64)}{table.caption.19}{}}
\def\@LN@column{1}
\@writefile{toc}{\contentsline {section}{\numberline {5}Limitations}{7}{section.5}\protected@file@percent }
\newlabel{sec:limitations}{{5}{7}{Limitations}{section.5}{}}
\@writefile{toc}{\contentsline {section}{\numberline {6}Conclusion}{7}{section.6}\protected@file@percent }
\newlabel{sec:conclusion}{{6}{7}{Conclusion}{section.6}{}}
\bibdata{references}
\bibcite{abdulaal2021psm}{{1}{2021}{{Abdulaal et~al.}}{{Abdulaal, Liu, and Lancewicki}}}
\bibcite{audibert2020usad}{{2}{2020}{{Audibert et~al.}}{{Audibert, Michiardi, Guyard, Marti, and Zuluaga}}}
\bibcite{chen2020simclr}{{3}{2020}{{Chen et~al.}}{{Chen, Kornblith, Norber, and Hinton}}}
\bibcite{hundman2018detecting}{{4}{2018}{{Hundman et~al.}}{{Hundman, Constantinou, Laporte, Colwell, and Soderstrom}}}
\bibcite{kim2022towards}{{5}{2022}{{Kim et~al.}}{{Kim, Choi, Choi, Lee, and Yoon}}}
\bibcite{mathur2016swat}{{6}{2016}{{Mathur and Tippenhauer}}{{}}}
\bibcite{park2018multimodal}{{7}{2018}{{Park et~al.}}{{Park, Hoshi, and Kemp}}}
\bibcite{siffer2017anomaly}{{8}{2017}{{Siffer et~al.}}{{Siffer, Fouque, Termier, and Largou{\"e}t}}}
\bibcite{su2019omnianomaly}{{9}{2019}{{Su et~al.}}{{Su, Zhao, Niu, Liu, Sun, and Pei}}}
\bibcite{tuli2022tranad}{{10}{2022}{{Tuli et~al.}}{{Tuli, Casale, and Jennings}}}
\bibcite{wu2021autoformer}{{11}{2021}{{Wu et~al.}}{{Wu, Xu, Wang, and Long}}}
\def\@LN@column{1}
\bibcite{wu2023timesnet}{{12}{2023}{{Wu et~al.}}{{Wu, Hu, Liu, Zhou, Wang, and Long}}}
\bibcite{xu2022anomaly}{{13}{2022}{{Xu et~al.}}{{Xu, Wu, Wang, and Long}}}
\bibcite{yang2023dcdetector}{{14}{2023}{{Yang et~al.}}{{Yang, Zhang, Zhou, Wen, and Sun}}}
\bibcite{zhou2022fedformer}{{15}{2022}{{Zhou et~al.}}{{Zhou, Ma, Wen, Wang, Sun, and Jin}}}
\def\@LN@column{1}
\def\@LN@column{1}
\@writefile{toc}{\contentsline {section}{\numberline {A}NeurIPS Paper Checklist}{10}{appendix.A}\protected@file@percent }
\newlabel{app:checklist}{{A}{10}{NeurIPS Paper Checklist}{appendix.A}{}}
\@writefile{toc}{\contentsline {section}{\numberline {B}Full Per-Dataset Precision and Recall}{10}{appendix.B}\protected@file@percent }
\newlabel{app:full_results}{{B}{10}{Full Per-Dataset Precision and Recall}{appendix.B}{}}
\@writefile{lot}{\contentsline {table}{\numberline {6}{\ignorespaces Full precision (P), recall (R), and F1 (\%) for all methods across benchmarks.}}{11}{table.caption.20}\protected@file@percent }
\newlabel{tab:full_results}{{6}{11}{Full precision (P), recall (R), and F1 (\%) for all methods across benchmarks}{table.caption.20}{}}
\gdef \@abspage@last{11}