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+#!/usr/bin/env python3
+
+import numpy as np
+import ruptures
+from multiprocessing import Pool
+
+# returns the found changepoints by algo for the specific penalty pen.
+# algo should be the return value of Pelt(...).fit(signal)
+# Also puts a token in container q to let the progressmeter know the changepoints for penalty pen
+# have been calculated.
+# used for parallel calculation of changepoints vs penalty
+def _get_breakpoints(algo, pen):
+ return pen, len(algo.predict(pen=pen))
+
+
+def find_knee_point(data_x, data_y, S=1.0, curve="convex", direction="decreasing"):
+ kneedle = kneed.KneeLocator(data_x, data_y, S=S, curve=curve, direction=direction)
+ kneepoint = (kneedle.knee, kneedle.knee_y)
+ return kneepoint
+
+
+def norm_signal(signal, scaler=25):
+ max_val = max(signal)
+ normed_signal = np.zeros(shape=len(signal))
+ for i, signal_i in enumerate(signal):
+ normed_signal[i] = signal_i / max_val
+ normed_signal[i] = normed_signal[i] * scaler
+ return normed_signal
+
+
+class PELT:
+ def __init__(self, **kwargs):
+ # Defaults von Janis
+ self.jump = 1
+ self.refinement_threshold = 100
+ self.range_min = 0
+ self.range_max = 100
+ self.__dict__.update(kwargs)
+
+ # signals: a set of uW measurements belonging to a single parameter configuration (i.e., a single by_param entry)
+ def needs_refinement(self, signals):
+ count = 0
+ for signal in signals:
+ p1, median, p99 = np.percentile(signal, (1, 50, 99))
+
+ if median - p1 > self.refinement_threshold:
+ count += 1
+ elif p99 - median > self.refinement_threshold:
+ count += 1
+ refinement_ratio = count / len(signals)
+ return refinement_ratio > 0.3
+
+ def get_penalty_value(
+ self, signals, model="l1", min_dist=2, range_min=0, range_max=100, S=1.0
+ ):
+ # Janis macht hier noch kein norm_signal. Mit sieht es aber genau so brauchbar aus.
+ signal = norm_signal(signals[0])
+ algo = ruptures.Pelt(model=model, jump=self.jump, min_size=min_dist).fit(signal)
+ queue = list()
+ for i in range(range_min, range_max + 1):
+ queue.append((algo, i))
+ with Pool() as pool:
+ results = pool.starmap(_get_breakpoints, queue)
+ pen_val = [x[0] for x in results]
+ changepoint_counts = [x[1] for x in results]
+ # Scheint unnötig zu sein, da wir ohnehin plateau detection durchführen
+ # knee = find_knee_point(pen_val, changepoint_counts, S=S)
+ knee = (0,)
+
+ start_index = -1
+ end_index = -1
+ longest_start = -1
+ longest_end = -1
+ prev_val = -1
+ for i, num_bkpts in enumerate(changepoint_counts[knee[0] :]):
+ if num_bkpts != prev_val:
+ end_index = i - 1
+ if end_index - start_index > longest_end - longest_start:
+ # currently found sequence is the longest found yet
+ longest_start = start_index
+ longest_end = end_index
+ start_index = i
+ if i == len(changepoint_counts[knee[0] :]) - 1:
+ # end sequence with last value
+ end_index = i
+ # # since it is not guaranteed that this is the end of the plateau, assume the mid
+ # # of the plateau was hit.
+ # size = end_index - start_index
+ # end_index = end_index + size
+ # However this is not the clean solution. Better if search interval is widened
+ # with range_min and range_max
+ if end_index - start_index > longest_end - longest_start:
+ # last found sequence is the longest found yet
+ longest_start = start_index
+ longest_end = end_index
+ start_index = i
+ prev_val = num_bkpts
+ mid_of_plat = longest_start + (longest_end - longest_start) // 2
+ knee = (mid_of_plat + knee[0], changepoint_counts[mid_of_plat + knee[0]])
+
+ # modify knee according to options. Defaults to 1 * knee
+ knee = (knee[0] * 1, knee[1])
+ return knee
+
+ """
+ # calculates and returns the necessary penalty for signal. Parallel execution with num_processes many processes
+ # jump, min_dist are passed directly to PELT. S is directly passed to kneedle.
+ # pen_modifier is used as a factor on the resulting penalty.
+ # the interval [range_min, range_max] is used for searching.
+ def calculate_penalty_value(
+ signal,
+ model="l1",
+ jump=5,
+ min_dist=2,
+ range_min=0,
+ range_max=100,
+ S=1.0,
+ pen_modifier=None,
+ show_plots=False,
+ ):
+ # default params in Function
+ if model is None:
+ model = "l1"
+ if jump is None:
+ jump = 5
+ if min_dist is None:
+ min_dist = 2
+ if range_min is None:
+ range_min = 0
+ if range_max is None:
+ range_max = 50
+ if S is None:
+ S = 1.0
+ if pen_modifier is None:
+ pen_modifier = 1
+ # change point detection. best fit seemingly with l1. rbf prods. RuntimeErr for pen > 30
+ # https://ctruong.perso.math.cnrs.fr/ruptures-docs/build/html/costs/index.html
+ # model = "l1" #"l1" # "l2", "rbf"
+ algo = ruptures.Pelt(model=model, jump=jump, min_size=min_dist).fit(signal)
+
+ ### CALC BKPS WITH DIFF PENALTYS
+ if range_max != range_min:
+ # building args array for parallelizing
+ args = []
+ # for displaying progression
+ m = Manager()
+ q = m.Queue()
+
+ for i in range(range_min, range_max + 1):
+ # same calculation for all except other penalty
+ args.append((algo, i, q))
+
+ print_info("starting kneepoint calculation.")
+ # init Pool with num_proesses
+ with Pool() as p:
+ # collect results from pool
+ result = p.starmap_async(get_bkps, args)
+ # monitor loop
+ percentage = -100 # Force display of 0%
+ i = 0
+ while True:
+ if result.ready():
+ break
+
+ size = q.qsize()
+ last_percentage = percentage
+ percentage = round(size / (range_max - range_min) * 100, 2)
+ if percentage >= last_percentage + 2 or i >= refresh_thresh:
+ print_info("Current progress: " + str(percentage) + "%")
+ i = 0
+ else:
+ i += 1
+ time.sleep(refresh_delay)
+ res = result.get()
+ print_info("Finished kneepoint calculation.")
+ # DECIDE WHICH PENALTY VALUE TO CHOOSE ACCORDING TO ELBOW/KNEE APPROACH
+ # split x and y coords to pass to kneedle
+ pen_val = [x[0] for x in res]
+ fitted_bkps_val = [x[1] for x in res]
+ # # plot to look at res
+ knee = find_knee_point(pen_val, fitted_bkps_val, S=S)
+
+ # TODO: Find plateau on pen_val vs fitted_bkps_val
+ # scipy.find_peaks() does not find plateaus if they extend through the end of the data.
+ # to counter that, add one extremely large value to the right side of the data
+ # after negating it is extremely small -> Almost certainly smaller than the
+ # found plateau therefore the plateau does not extend through the border
+ # -> scipy.find_peaks finds it. Choose value from within that plateau.
+ # fitted_bkps_val.append(100000000)
+ # TODO: Approaching over find_peaks might not work if the initial decrease step to the
+ # "correct" number of changepoints and additional decrease steps e.g. underfitting
+ # take place within the given penalty interval. find_peak only finds plateaus
+ # of peaks. If the number of chpts decreases after the wanted plateau the condition
+ # for local peaks is not satisfied anymore. Therefore this approach will only work
+ # if the plateau extends over the right border of the penalty interval.
+ # peaks, peak_plateaus = find_peaks(- np.array(fitted_bkps_val), plateau_size=1)
+ # Since the data is monotonously decreasing only one plateau can be found.
+
+ # assuming the plateau is constant, i.e. no noise. OK to assume this here, since num_bkpts
+ # is monotonously decreasing. If the number of bkpts decreases inside a considered
+ # plateau, it means that the stable configuration is not yet met. -> Search further
+ start_index = -1
+ end_index = -1
+ longest_start = -1
+ longest_end = -1
+ prev_val = -1
+ for i, num_bkpts in enumerate(fitted_bkps_val[knee[0] :]):
+ if num_bkpts != prev_val:
+ end_index = i - 1
+ if end_index - start_index > longest_end - longest_start:
+ # currently found sequence is the longest found yet
+ longest_start = start_index
+ longest_end = end_index
+ start_index = i
+ if i == len(fitted_bkps_val[knee[0] :]) - 1:
+ # end sequence with last value
+ end_index = i
+ # # since it is not guaranteed that this is the end of the plateau, assume the mid
+ # # of the plateau was hit.
+ # size = end_index - start_index
+ # end_index = end_index + size
+ # However this is not the clean solution. Better if search interval is widened
+ # with range_min and range_max
+ if end_index - start_index > longest_end - longest_start:
+ # last found sequence is the longest found yet
+ longest_start = start_index
+ longest_end = end_index
+ start_index = i
+ prev_val = num_bkpts
+ if show_plots:
+ plt.xlabel("Penalty")
+ plt.ylabel("Number of Changepoints")
+ plt.plot(pen_val, fitted_bkps_val)
+ plt.vlines(
+ longest_start + knee[0], 0, max(fitted_bkps_val), linestyles="dashed"
+ )
+ plt.vlines(
+ longest_end + knee[0], 0, max(fitted_bkps_val), linestyles="dashed"
+ )
+ plt.show()
+ # choosing pen from plateau
+ mid_of_plat = longest_start + (longest_end - longest_start) // 2
+ knee = (mid_of_plat + knee[0], fitted_bkps_val[mid_of_plat + knee[0]])
+
+ # modify knee according to options. Defaults to 1 * knee
+ knee = (knee[0] * pen_modifier, knee[1])
+
+ else:
+ # range_min == range_max. has the same effect as pen_override
+ knee = (range_min, None)
+ print_info(str(knee[0]) + " has been selected as penalty.")
+ if knee[0] is not None:
+ return knee
+
+ print_error(
+ "With the current thresh-hold S="
+ + str(S)
+ + " it is not possible to select a penalty value."
+ )
+ sys.exit(-1)
+ """