|
| 1 | +""" |
| 2 | +Helper functions for handling timeseries in Pyrenew |
| 3 | +
|
| 4 | +Days of the week in pyrenew are 0-indexed and follow |
| 5 | +ISO standards, so 0 is Monday at 6 is Sunday. |
| 6 | +""" |
| 7 | + |
| 8 | +import jax.numpy as jnp |
| 9 | +from jax.typing import ArrayLike |
| 10 | + |
| 11 | + |
| 12 | +def validate_dow(day_of_week: int, variable_name: str) -> None: |
| 13 | + """ |
| 14 | + Confirm that an integer is a valid Pyrenew day of the week |
| 15 | + index, with informative error messages on failure. |
| 16 | +
|
| 17 | + Parameters |
| 18 | + ---------- |
| 19 | + day_of_week: int |
| 20 | + Integer to validate. |
| 21 | +
|
| 22 | + variable_name: str |
| 23 | + Name of the variable being validated, to increase |
| 24 | + the informativeness of the error message. |
| 25 | +
|
| 26 | + Returns |
| 27 | + ------- |
| 28 | + None |
| 29 | + If validation passes. |
| 30 | +
|
| 31 | + Raises |
| 32 | + ------ |
| 33 | + ValueError |
| 34 | + If validation fails. |
| 35 | + """ |
| 36 | + if not isinstance(day_of_week, int): |
| 37 | + raise ValueError( |
| 38 | + "Day-of-week indices must be integers " |
| 39 | + "between 0 and 6, inclusive. " |
| 40 | + f"Got {day_of_week} for {variable_name}, " |
| 41 | + "which is a " |
| 42 | + f"{type(day_of_week)}" |
| 43 | + ) |
| 44 | + if day_of_week < 0 or day_of_week > 6: |
| 45 | + raise ValueError( |
| 46 | + "Day-of-week indices must be a integers " |
| 47 | + "between 0 and 6, inclusive. " |
| 48 | + f"Got {day_of_week} for {variable_name}." |
| 49 | + ) |
| 50 | + return None |
| 51 | + |
| 52 | + |
| 53 | +def daily_to_weekly( |
| 54 | + daily_values: ArrayLike, |
| 55 | + input_data_first_dow: int = 0, |
| 56 | + week_start_dow: int = 0, |
| 57 | +) -> ArrayLike: |
| 58 | + """ |
| 59 | + Aggregate daily values (e.g. |
| 60 | + incident hospital admissions) |
| 61 | + to weekly total values. |
| 62 | +
|
| 63 | + Parameters |
| 64 | + ---------- |
| 65 | + daily_values : ArrayLike |
| 66 | + Daily timeseries values (e.g. incident infections or |
| 67 | + incident ed visits). |
| 68 | + input_data_first_dow : int |
| 69 | + First day of the week in the input timeseries `daily_values`. |
| 70 | + An integer between 0 and 6, inclusive (0 for Monday, 1 for Tuesday, |
| 71 | + ..., 6 for Sunday). |
| 72 | + If `input_data_first_dow` does not match `week_start_dow`, the |
| 73 | + incomplete first week is ignored and weekly values starting |
| 74 | + from the second week are returned. Defaults to 0. |
| 75 | + week_start_dow : int |
| 76 | + Day of the week on which weeks are considered to |
| 77 | + start in the output timeseries of weekly values |
| 78 | + (e.g. ISO weeks start on Mondays and end on Sundays; |
| 79 | + MMWR epiweeks start on Sundays and end on Saturdays). |
| 80 | + An integer between 0 and 6, inclusive (0 for Monday, |
| 81 | + 1 for Tuesday, ..., 6 for Sunday). |
| 82 | + Default 0 (i.e. ISO weeks, starting on Mondays). |
| 83 | +
|
| 84 | + Returns |
| 85 | + ------- |
| 86 | + ArrayLike |
| 87 | + Data converted to weekly values starting |
| 88 | + with the first full week available. |
| 89 | +
|
| 90 | + Raises |
| 91 | + ------ |
| 92 | + ValueError |
| 93 | + If the specified days of the week fail validation. |
| 94 | +
|
| 95 | + Notes |
| 96 | + ----- |
| 97 | + This is _not_ a simple inverse of :func:`weekly_to_daily`. |
| 98 | + This function aggregates (by summing) daily values to |
| 99 | + create a timeseries of weekly total values. |
| 100 | + :func:`weekly_to_daily` broadcasts a _single shared value_ |
| 101 | + for a given week as the (repeated) daily value for each day |
| 102 | + of that week. |
| 103 | + """ |
| 104 | + |
| 105 | + validate_dow(input_data_first_dow, "input_data_first_dow") |
| 106 | + validate_dow(week_start_dow, "week_start_dow") |
| 107 | + |
| 108 | + offset = (week_start_dow - input_data_first_dow) % 7 |
| 109 | + daily_values = daily_values[offset:] |
| 110 | + |
| 111 | + if daily_values.shape[0] < 7: |
| 112 | + raise ValueError("No complete weekly values available") |
| 113 | + |
| 114 | + n_weeks = daily_values.shape[0] // 7 |
| 115 | + trimmed = daily_values[: n_weeks * 7] |
| 116 | + weekly_values = trimmed.reshape(n_weeks, 7, *daily_values.shape[1:]).sum( |
| 117 | + axis=1 |
| 118 | + ) |
| 119 | + |
| 120 | + return weekly_values |
| 121 | + |
| 122 | + |
| 123 | +def daily_to_mmwr_epiweekly( |
| 124 | + daily_values: ArrayLike, |
| 125 | + input_data_first_dow: int = 6, |
| 126 | +) -> ArrayLike: |
| 127 | + """ |
| 128 | + Aggregate daily values to weekly values |
| 129 | + using :func:`daily_to_weekly` with |
| 130 | + MMWR epidemiological weeks (begin on Sundays, |
| 131 | + end on Saturdays). |
| 132 | +
|
| 133 | + Parameters |
| 134 | + ---------- |
| 135 | + daily_values : ArrayLike |
| 136 | + Daily timeseries values. |
| 137 | + input_data_first_dow : int |
| 138 | + First day of the week in the input timeseries `daily_values`. |
| 139 | + An integer between 0 and 6, inclusive (0 for Monday, 1 for |
| 140 | + Tuesday, ..., 6 for Sunday). |
| 141 | + If `input_data_first_dow` is _not_ the MMWR epiweek start day |
| 142 | + (6, Sunday), the incomplete first week is ignored and |
| 143 | + weekly values starting from the second week are returned. |
| 144 | + Defaults to 6 (Sunday). |
| 145 | +
|
| 146 | + Returns |
| 147 | + ------- |
| 148 | + ArrayLike |
| 149 | + Data converted to epiweekly values. |
| 150 | + """ |
| 151 | + return daily_to_weekly( |
| 152 | + daily_values, input_data_first_dow, week_start_dow=6 |
| 153 | + ) |
| 154 | + |
| 155 | + |
| 156 | +def weekly_to_daily( |
| 157 | + weekly_values: ArrayLike, |
| 158 | + week_start_dow: int = 0, |
| 159 | + output_data_first_dow: int = None, |
| 160 | +) -> ArrayLike: |
| 161 | + """ |
| 162 | + Broadcast a weekly timeseries to a daily |
| 163 | + timeseries. The value for the week will be used |
| 164 | + as the value each day in that week, via |
| 165 | + :func:`jnp.repeat`. |
| 166 | +
|
| 167 | + Parameters |
| 168 | + ---------- |
| 169 | + weekly_values: ArrayLike |
| 170 | + Timeseries of weekly values, where |
| 171 | + (discrete) time is the first dimension of |
| 172 | + the array (following Pyrenew convention). |
| 173 | +
|
| 174 | + week_start_dow: int |
| 175 | + Day of the week on which weeks are considered to |
| 176 | + start in the input ``weekly_values`` timeseries |
| 177 | + (e.g. ISO weeks start on Mondays and end on Sundays; |
| 178 | + MMWR epiweeks start on Sundays and end on Saturdays). |
| 179 | + An integer between 0 and 6, inclusive (0 for Monday, |
| 180 | + 1 for Tuesday, ..., 6 for Sunday). |
| 181 | + Default 0 (i.e. ISO weeks, starting on Mondays). |
| 182 | +
|
| 183 | + output_data_first_dow: int |
| 184 | + Day of the week on which to start the output timeseries. |
| 185 | + An integer between 0 and 6, inclusive (0 for Monday, |
| 186 | + 1 for Tuesday, ..., 6 for Sunday). Defaults to the week |
| 187 | + start date as specified by ``week_start_dow``. |
| 188 | + If ``output_data_first_dow`` is _not_ equal to ``week_start_dow``, |
| 189 | + the first weekly value will be partial (i.e. represented by |
| 190 | + between 1 and 6 entries in the output timeseries) and |
| 191 | + all subsequent weeks will be complete (represented by 7 |
| 192 | + values each). |
| 193 | +
|
| 194 | + Returns |
| 195 | + ------- |
| 196 | + ArrayLike |
| 197 | + The daily timeseries. |
| 198 | +
|
| 199 | + Raises |
| 200 | + ------ |
| 201 | + ValueError |
| 202 | + If the specified days of the week fail validation. |
| 203 | +
|
| 204 | + Notes |
| 205 | + ----- |
| 206 | + This is _not_ a simple inverse of :func:`daily_to_weekly`. |
| 207 | + :func:`daily_to_weekly` aggregates (by summing) daily values to |
| 208 | + create a timeseries of weekly total values. |
| 209 | + This function broadcasts a _single shared value_ |
| 210 | + for a given week as the (repeated) daily value for each day |
| 211 | + of that week. |
| 212 | + """ |
| 213 | + |
| 214 | + validate_dow(week_start_dow, "week_start_dow") |
| 215 | + if output_data_first_dow is None: |
| 216 | + output_data_first_dow = week_start_dow |
| 217 | + validate_dow(output_data_first_dow, "output_data_first_dow") |
| 218 | + |
| 219 | + offset = (output_data_first_dow - week_start_dow) % 7 |
| 220 | + return jnp.repeat( |
| 221 | + weekly_values, |
| 222 | + repeats=7, |
| 223 | + axis=0, |
| 224 | + )[offset:] |
| 225 | + |
| 226 | + |
| 227 | +def mmwr_epiweekly_to_daily( |
| 228 | + weekly_values: ArrayLike, |
| 229 | + output_data_first_dow: int = 6, |
| 230 | +) -> ArrayLike: |
| 231 | + """ |
| 232 | + Convert an MMWR epiweekly timeseries to a daily |
| 233 | + timeseries using :func:`weekly_to_daily`. |
| 234 | +
|
| 235 | + Parameters |
| 236 | + ---------- |
| 237 | + weekly_values: ArrayLike |
| 238 | + Timeseries of weekly values, where |
| 239 | + (discrete) time is the first dimension of |
| 240 | + the array (following Pyrenew convention). |
| 241 | +
|
| 242 | + output_data_first_dow: int |
| 243 | + Day of the week on which to start the output timeseries. |
| 244 | + An integer between 0 and 6, inclusive (0 for Monday, |
| 245 | + 1 for Tuesday, ..., 6 for Sunday). Defaults to the MMWR |
| 246 | + epiweek start day (6, Sunday). |
| 247 | + If ``output_data_first_dow`` is _not_ equal to 6 (Sunday, |
| 248 | + the start of an MMWR epiweek), the first weekly value will |
| 249 | + be partial (i.e. represented by between 1 and 6 entries |
| 250 | + in the output timeseries) and all subsequent weeks will be |
| 251 | + complete (represented by 7 values each). |
| 252 | +
|
| 253 | + Returns |
| 254 | + ------- |
| 255 | + ArrayLike |
| 256 | + The daily timeseries. |
| 257 | + """ |
| 258 | + return weekly_to_daily( |
| 259 | + weekly_values, |
| 260 | + output_data_first_dow=output_data_first_dow, |
| 261 | + week_start_dow=6, |
| 262 | + ) |
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