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QuanTAlib/lib/errors/huber/huber.pine
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// Licensed under the Apache License, Version 2.0
// © mihakralj
//@version=6
indicator("Huber Loss (HUBER)", "HUBER")
//@function Calculates Huber Loss between two sources using SMA for averaging
//@param source1 First series to compare
//@param source2 Second series to compare
//@param period Lookback period for error averaging
//@param delta Threshold that determines switch between MSE and MAE behavior
//@returns Huber loss value averaged over the specified period using SMA
huber(series float source1, series float source2, simple int period, simple float delta = 1.345) =>
if period <= 0
runtime.error("Period must be greater than 0")
int p = math.min(math.max(1, period), 4000)
error = source1 - source2
huber_error = math.abs(error) <= delta ? 0.5 * math.pow(error, 2) : delta * math.abs(error) - 0.5 * math.pow(delta, 2)
var float[] buffer = array.new_float(p, na)
var int head = 0
var float sum = 0.0
var int valid_count = 0
float oldest = array.get(buffer, head)
if not na(oldest)
sum := sum - oldest
valid_count := valid_count - 1
if not na(huber_error)
sum := sum + huber_error
valid_count := valid_count + 1
array.set(buffer, head, huber_error)
head := (head + 1) % p
valid_count > 0 ? sum / valid_count : huber_error
// ---------- Main loop ----------
// Inputs
i_source1 = input.source(close, "Source")
i_period = input.int(100, "Period", minval=1)
i_delta = input.float(1.345, "Delta", minval=0.1)
i_source2 = ta.ema(i_source1, i_period)
// Calculation
error = huber(i_source1, i_source2, i_period, i_delta)
// Plot
plot(error, "Huber", color=color.new(color.red, 60), linewidth=2, style = plot.style_area)
plot(i_source2, "EMA", color=color.yellow, linewidth=1, style = plot.style_line, force_overlay = true)