further work on methodology
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\section{Related Work}\label{sec:related_work}
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There has been a variety of works in menstrual cycle analysis and ovulation prediction based on different physiological signs.
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A variety of approaches have historically been explored for ovulation detection and prediction,
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ranging from hormonal assays to physiological signal tracking.
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In~\citeyear{wallach_prediction_1980}, \citeauthor{wallach_prediction_1980} identified several physiological indicators for ovulation timing,
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including salivary ferning and viscosity, serum levels of progesterone and estrogen,
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and urinary luteinizing hormone (LH) concentrations~\cite{wallach_prediction_1980}.
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These indicators showed strong correlation with ovulation timing as measured via transvaginal ultrasound.
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\citeauthor{noauthor_monitoring_1987} later expanded on this work by focusing specifically on LH and estradiol,
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confirming that LH surges reliably indicate an imminent ovulation event.
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Despite their diagnostic value, many of these biomarkers are difficult to measure continuously and reliably in everyday settings,
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limiting their practicality for real-time or large-scale applications.
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\subsection{Temperature-Based Approaches}\label{subsec:temperature_based_approaches}
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Body temperature has emerged as a more accessible physiological signal for ovulation tracking,
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given the feasibility of continuous and non-invasive measurement.
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As outlined in Section~\ref{subsubsec:physiological_signs}, basal body temperature (BBT) exhibits a biphasic pattern across
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the menstrual cycle that correlates with ovulation.
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Several studies have questioned the utility of BBT (Basal Body Temperature) for reliable ovulation prediction.
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For example \citeauthor{bauman_basal_1981} concluded, that BBT is not a robust standalone marker due to its
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retrospective nature and sensitivity to external factors and thus must be used with extreme caution clinical or research evaluations~\cite{bauman_basal_1981}.
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However, several studies have raised concerns about its reliability as a predictive marker.
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\citeauthor{bauman_basal_1981} concluded that BBT alone is insufficiently robust due to its retrospective nature and
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high susceptibility to external confounders, recommending caution in its clinical or research use~\cite{bauman_basal_1981}.
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Similarly, \citeauthor{moghissi_accuracy_1976} emphasized its limited accuracy, particularly in cycles with irregularities~\cite{moghissi_accuracy_1976}.
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However, such conclusions were largely based on the standard BBT method, which relies on a single-point measurement taken
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immediately upon waking—typically reflecting the body's lowest resting temperature.
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@@ -72,7 +89,6 @@ These findings suggest that electrical resistance is a strong physiological mark
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A related modern implementation is the commercial product \textit{kegg}~\cite{noauthor_kegg_nodate}, which measures the electrical resistance of cervical mucus.
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The device uses an undisclosed algorithm to estimate fertility status based on these readings, although no peer-reviewed validation studies are currently available.
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\citeauthor{masuda_machine_2025} developed a machine learning algorithm to classify phases of the menstrual cycle
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(follicular vs. luteal) based on sleeping heart rate, as recorded by a fitness tracker~\cite{masuda_machine_2025}.
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They used an XGBoost classifier for this binary task and additionally performed ovulation day prediction,
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@@ -100,8 +116,7 @@ waking—they report classification accuracies between 0.843 and 0.864, dependin
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with very similar numbers for precision, recall, specificity and F1 score.
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Ovulation day prediction yielded an average absolute error between 3.6 and 4.1 days.
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When models are trained on highly constrained datasets with predictable patterns and clear ovulatory signals,
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complex methods often show limited gains over naive or rule-based approaches—as will be demonstrated in Section~\ref{sec:methodology}.
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\paragraph{Summary:}
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While various physiological signals and modeling strategies have been explored for ovulation prediction,
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