Two-phase training: pretrain on algorithm scores, fine-tune on QSOs

- 15 features: add surface_refractivity and latitude
- Bigger network: 128→64→32 (3 hidden layers)
- Phase 1: pretrain on 500K stratified algorithm scores (all seasons/locations)
- Phase 2: fine-tune on 57K real QSO-HRRR matched data (percentile target)
- Lower LR (0.0003) for fine-tuning to preserve pretrained knowledge
- Model.train accepts :initial_state option for transfer learning
This commit is contained in:
Graham McIntire 2026-04-01 09:27:27 -05:00
parent 08e4b9abdd
commit 07558d17eb
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3 changed files with 241 additions and 100 deletions

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@ -31,7 +31,7 @@ defmodule Microwaveprop.Propagation.Model do
## Architecture
Feed-forward neural network with:
- Input: 13 features (8 atmospheric + 4 cyclical temporal + 1 frequency)
- Input: 15 features (10 atmospheric + 4 cyclical temporal + 1 frequency)
- Hidden: 2 dense layers with ReLU activation
- Output: 1 sigmoid unit (score 0-1, scaled to 0-100)
@ -40,7 +40,7 @@ defmodule Microwaveprop.Propagation.Model do
baseline performance metrics.
"""
@feature_count 13
@feature_count 15
@models_dir Path.join(:code.priv_dir(:microwaveprop), "models")
@default_path Path.join(@models_dir, "propagation_v1.nx")
@ -106,7 +106,7 @@ defmodule Microwaveprop.Propagation.Model do
@doc """
Trains the model on the given features and targets.
Features should be an `{n, 13}` tensor and targets an `{n, 1}` tensor
Features should be an `{n, #{@feature_count}}` tensor and targets an `{n, 1}` tensor
with values in [0, 1].
Returns `{trained_state, %{final_loss: float}}`.
@ -116,11 +116,13 @@ defmodule Microwaveprop.Propagation.Model do
* `:epochs` - number of training epochs (default: 50)
* `:batch_size` - batch size (default: 256)
* `:learning_rate` - Adam learning rate (default: 0.001)
* `:initial_state` - pre-trained model state to resume from (default: empty)
"""
def train(features, targets, opts \\ []) do
epochs = Keyword.get(opts, :epochs, 50)
batch_size = Keyword.get(opts, :batch_size, 256)
lr = Keyword.get(opts, :learning_rate, 0.001)
initial_state = Keyword.get(opts, :initial_state)
model = build()
@ -132,8 +134,10 @@ defmodule Microwaveprop.Propagation.Model do
|> Stream.zip(Nx.to_batched(targets, batch_size))
|> Stream.map(fn {x, y} -> {%{"features" => x}, y} end)
init_state = initial_state || Axon.ModelState.empty()
trained_state =
Axon.Loop.run(loop, data, Axon.ModelState.empty(),
Axon.Loop.run(loop, data, init_state,
epochs: epochs,
compiler: EXLA
)
@ -219,6 +223,8 @@ defmodule Microwaveprop.Propagation.Model do
:min_refractivity_gradient,
:hpbl_m,
:pwat_mm,
:surface_refractivity,
:latitude,
:solar_hour_sin,
:solar_hour_cos,
:month_sin,
@ -240,6 +246,8 @@ defmodule Microwaveprop.Propagation.Model do
grad = conditions[:min_refractivity_gradient] || -70.0
hpbl = conditions[:hpbl_m] || 500.0
pwat = conditions[:pwat_mm] || 20.0
refractivity = conditions[:surface_refractivity] || 320.0
latitude = conditions[:latitude] || 37.0
utc_hour = conditions[:utc_hour] || 12
longitude = conditions[:longitude] || -97.0
month = conditions[:month] || 6
@ -264,6 +272,8 @@ defmodule Microwaveprop.Propagation.Model do
(grad + 300) / 300,
hpbl / 3000.0,
pwat / 60.0,
(refractivity - 250) / 120,
(latitude - 25) / 25,
:math.sin(hour_rad),
:math.cos(hour_rad),
:math.sin(month_rad),

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@ -1,30 +1,32 @@
defmodule Mix.Tasks.PropagationTrain do
@shortdoc "Train ML model from QSO-HRRR matched data"
@shortdoc "Train ML model from QSO-HRRR data with algorithm pre-training"
@moduledoc """
Trains the propagation ML model on real QSO outcomes matched to HRRR
atmospheric conditions. The target is QSO distance normalized per-band
(0-1), so the model learns what atmospheric conditions actually produce
good propagation from historical contacts not from the hand-tuned algorithm.
Two-phase ML training for propagation prediction:
Features: HRRR conditions averaged across both QSO endpoints + solar time + frequency.
Target: distance_km / band_p99_distance (capped at 1.0).
Phase 1 (pre-train): Learn broad atmospheric patterns from 500K+ algorithm
scores covering all seasons, times, and locations across CONUS.
Phase 2 (fine-tune): Calibrate against real QSO outcomes (57K+ contacts
matched to HRRR conditions). Target is within-band distance percentile.
Features: 15 inputs (10 atmospheric + latitude + 4 cyclical temporal + frequency).
## Usage
mix propagation_train
mix propagation_train --epochs 100 --batch-size 512
mix propagation_train --pretrain-epochs 50 --finetune-epochs 200
"""
use Mix.Task
alias Microwaveprop.Propagation.BandConfig
alias Microwaveprop.Propagation.Model
alias Microwaveprop.Repo
@query_timeout 600_000
# Per-band normalization: p99 distances from the QSO dataset.
# Distance is divided by these values and capped at 1.0.
# Per-band normalization for QSO distance percentile computation
@band_max_km %{
10_000 => 800.0,
24_000 => 350.0,
@ -39,7 +41,12 @@ defmodule Mix.Tasks.PropagationTrain do
def run(args) do
{opts, _, _} =
OptionParser.parse(args,
strict: [epochs: :integer, batch_size: :integer]
strict: [
pretrain_epochs: :integer,
finetune_epochs: :integer,
pretrain_sample: :integer,
batch_size: :integer
]
)
Application.put_env(
@ -54,79 +61,68 @@ defmodule Mix.Tasks.PropagationTrain do
Mix.Task.run("app.start")
epochs = Keyword.get(opts, :epochs, 100)
pretrain_epochs = Keyword.get(opts, :pretrain_epochs, 50)
finetune_epochs = Keyword.get(opts, :finetune_epochs, 200)
pretrain_sample = Keyword.get(opts, :pretrain_sample, 500_000)
batch_size = Keyword.get(opts, :batch_size, 256)
"=" |> String.duplicate(70) |> IO.puts()
IO.puts("PROPAGATION MODEL TRAINING (QSO-HRRR)")
IO.puts("PROPAGATION MODEL TRAINING (Two-Phase)")
"=" |> String.duplicate(70) |> IO.puts()
IO.puts("Config: epochs=#{epochs}, batch_size=#{batch_size}")
IO.puts("Phase 1: #{pretrain_epochs} epochs on #{pretrain_sample} algorithm scores")
IO.puts("Phase 2: #{finetune_epochs} epochs on real QSO data")
IO.puts("Started: #{DateTime.to_string(DateTime.utc_now())}\n")
IO.puts("Loading QSO-HRRR training data...")
{features, targets, band_counts} = load_training_data()
n = elem(Nx.shape(features), 0)
# ── Phase 1: Pre-train on algorithm scores ──────────────────────
IO.puts("=" <> String.duplicate("", 50))
IO.puts("PHASE 1: Pre-training on algorithm scores")
IO.puts("=" <> String.duplicate("", 50))
IO.puts("\nLoaded #{n} training samples from real QSOs:")
{pt_features, pt_targets, pt_counts} = load_pretrain_data(pretrain_sample)
pt_n = elem(Nx.shape(pt_features), 0)
IO.puts("Loaded #{pt_n} algorithm score samples:")
print_band_counts(pt_counts)
band_counts
|> Enum.sort_by(fn {band, _} -> band end)
|> Enum.each(fn {band, count} ->
max_km = Map.get(@band_max_km, band)
suffix = if max_km, do: " (norm: #{trunc(max_km)} km)", else: " (excluded)"
IO.puts(" #{div(band, 1000)} GHz: #{count} QSOs#{suffix}")
end)
{pt_features, pt_targets} = shuffle(pt_features, pt_targets, pt_n)
{pt_train_x, pt_train_y, pt_val_x, pt_val_y, _, _} = split(pt_features, pt_targets, pt_n)
IO.puts("")
IO.puts("\nPre-training for #{pretrain_epochs} epochs (lr=0.001)...")
# Shuffle the dataset
IO.puts("Shuffling and splitting dataset (80/10/10)...")
key = Nx.Random.key(System.os_time())
{indices, _} = Nx.Random.shuffle(key, Nx.iota({n}))
indices = Nx.as_type(indices, :s64)
features = Nx.take(features, indices)
targets = Nx.take(targets, indices)
{pretrained_state, pt_metrics} =
Model.train(pt_train_x, pt_train_y, epochs: pretrain_epochs, batch_size: batch_size)
# 80/10/10 split
train_end = trunc(n * 0.8)
val_end = trunc(n * 0.9)
print_loss(pt_metrics.final_loss)
print_eval("Pre-train val", Model.evaluate(pretrained_state, pt_val_x, pt_val_y))
train_features = Nx.slice(features, [0, 0], [train_end, 13])
train_targets = Nx.slice(targets, [0, 0], [train_end, 1])
val_features = Nx.slice(features, [train_end, 0], [val_end - train_end, 13])
val_targets = Nx.slice(targets, [train_end, 0], [val_end - train_end, 1])
test_features = Nx.slice(features, [val_end, 0], [n - val_end, 13])
test_targets = Nx.slice(targets, [val_end, 0], [n - val_end, 1])
# ── Phase 2: Fine-tune on real QSO data ─────────────────────────
IO.puts("\n" <> "=" <> String.duplicate("", 50))
IO.puts("PHASE 2: Fine-tuning on real QSO-HRRR data")
IO.puts("=" <> String.duplicate("", 50))
IO.puts(" Train: #{train_end}, Val: #{val_end - train_end}, Test: #{n - val_end}\n")
{ft_features, ft_targets, ft_counts} = load_qso_data()
ft_n = elem(Nx.shape(ft_features), 0)
IO.puts("Loaded #{ft_n} QSO training samples:")
print_band_counts(ft_counts)
# Train
IO.puts("Training for #{epochs} epochs...")
{trained_state, train_metrics} = Model.train(train_features, train_targets, epochs: epochs, batch_size: batch_size)
final_loss = train_metrics.final_loss
{ft_features, ft_targets} = shuffle(ft_features, ft_targets, ft_n)
{ft_train_x, ft_train_y, ft_val_x, ft_val_y, ft_test_x, ft_test_y} = split(ft_features, ft_targets, ft_n)
if is_float(final_loss) and not (final_loss != final_loss) do
IO.puts("Training complete. Final loss: #{Float.round(final_loss, 6)}\n")
else
IO.puts("Training complete. Final loss: NaN (training diverged)\n")
IO.puts("Try: --sample 100000 or reduce epochs")
System.halt(1)
end
IO.puts("\nFine-tuning for #{finetune_epochs} epochs (lr=0.0003)...")
# Evaluate on validation set
val_metrics = Model.evaluate(trained_state, val_features, val_targets)
IO.puts("Validation metrics:")
IO.puts(" RMSE: #{Float.round(val_metrics.rmse * 100, 2)} points (on 0-100 scale)")
IO.puts(" R-squared: #{Float.round(val_metrics.r_squared, 4)}\n")
{trained_state, ft_metrics} =
Model.train(ft_train_x, ft_train_y,
epochs: finetune_epochs,
batch_size: batch_size,
learning_rate: 0.0003,
initial_state: pretrained_state
)
# Evaluate on test set
test_metrics = Model.evaluate(trained_state, test_features, test_targets)
IO.puts("Test metrics:")
IO.puts(" RMSE: #{Float.round(test_metrics.rmse * 100, 2)} points (on 0-100 scale)")
IO.puts(" R-squared: #{Float.round(test_metrics.r_squared, 4)}\n")
print_loss(ft_metrics.final_loss)
print_eval("Fine-tune val", Model.evaluate(trained_state, ft_val_x, ft_val_y))
print_eval("Fine-tune test", Model.evaluate(trained_state, ft_test_x, ft_test_y))
# Save model
IO.puts("Saving model to priv/models/propagation_v1.nx...")
# ── Save ────────────────────────────────────────────────────────
IO.puts("\nSaving model to priv/models/propagation_v1.nx...")
Model.save(trained_state)
IO.puts("Done!")
@ -134,9 +130,86 @@ defmodule Mix.Tasks.PropagationTrain do
IO.puts("Finished: #{DateTime.to_string(DateTime.utc_now())}")
end
defp load_training_data do
# Join QSOs to HRRR at both endpoints, average conditions.
# Same query as the analysis task but returns raw values for encoding.
# ── Phase 1 data: algorithm scores from propagation_scores ────────
defp load_pretrain_data(sample_size) do
bands = BandConfig.all_freqs()
per_band = div(sample_size, length(bands))
IO.puts(" Loading algorithm scores (stratified #{per_band}/band)...")
band_queries =
Enum.map_join(bands, "\nUNION ALL\n", fn band_mhz ->
"""
(SELECT
ps.score, ps.band_mhz,
h.surface_temp_c, h.surface_dewpoint_c, h.surface_pressure_mb,
h.min_refractivity_gradient, h.hpbl_m, h.pwat_mm,
h.surface_refractivity,
ps.lat,
EXTRACT(HOUR FROM ps.valid_time) AS utc_hour,
EXTRACT(MONTH FROM ps.valid_time) AS month,
ps.lon
FROM propagation_scores ps
JOIN hrrr_profiles h
ON h.lat = ps.lat AND h.lon = ps.lon AND h.valid_time = ps.valid_time
WHERE ps.band_mhz = #{band_mhz}
AND h.surface_temp_c IS NOT NULL
AND h.surface_dewpoint_c IS NOT NULL
AND h.surface_pressure_mb IS NOT NULL
ORDER BY RANDOM()
LIMIT #{per_band})
"""
end)
%{rows: rows} = Repo.query!(band_queries, [], timeout: @query_timeout)
band_counts = Enum.frequencies_by(rows, fn row -> Enum.at(row, 1) end)
{feature_rows, target_rows} =
rows
|> Enum.map(fn [
score,
band_mhz,
temp_c,
dewpoint_c,
pressure_mb,
grad,
hpbl,
pwat,
refractivity,
lat,
utc_hour,
month,
lon
] ->
features =
Model.encode_features(%{
surface_temp_c: to_float(temp_c),
surface_dewpoint_c: to_float(dewpoint_c),
surface_pressure_mb: to_float(pressure_mb),
min_refractivity_gradient: to_float(grad),
hpbl_m: to_float(hpbl),
pwat_mm: to_float(pwat),
surface_refractivity: to_float(refractivity),
latitude: to_float(lat),
utc_hour: to_float(utc_hour),
month: trunc(to_float(month)),
longitude: to_float(lon),
freq_mhz: band_mhz
})
{features, [score / 100.0]}
end)
|> Enum.unzip()
{Nx.tensor(feature_rows, type: :f32), Nx.tensor(target_rows, type: :f32), band_counts}
end
# ── Phase 2 data: real QSO-HRRR matches ──────────────────────────
defp load_qso_data do
IO.puts(" Running QSO-HRRR join query...")
sql = """
SELECT
q.band::integer AS band_mhz,
@ -144,6 +217,7 @@ defmodule Mix.Tasks.PropagationTrain do
EXTRACT(HOUR FROM q.qso_timestamp)::int AS utc_hour,
EXTRACT(MONTH FROM q.qso_timestamp)::int AS month,
((q.pos1->>'lng')::float + (q.pos2->>'lng')::float) / 2.0 AS avg_lon,
((q.pos1->>'lat')::float + (q.pos2->>'lat')::float) / 2.0 AS avg_lat,
(COALESCE(h1.surface_temp_c, h2.surface_temp_c) +
COALESCE(h2.surface_temp_c, h1.surface_temp_c)) / 2.0 AS avg_temp,
(COALESCE(h1.surface_dewpoint_c, h2.surface_dewpoint_c) +
@ -155,7 +229,9 @@ defmodule Mix.Tasks.PropagationTrain do
(COALESCE(h1.hpbl_m, h2.hpbl_m) +
COALESCE(h2.hpbl_m, h1.hpbl_m)) / 2.0 AS avg_hpbl,
(COALESCE(h1.pwat_mm, h2.pwat_mm) +
COALESCE(h2.pwat_mm, h1.pwat_mm)) / 2.0 AS avg_pwat
COALESCE(h2.pwat_mm, h1.pwat_mm)) / 2.0 AS avg_pwat,
(COALESCE(h1.surface_refractivity, h2.surface_refractivity) +
COALESCE(h2.surface_refractivity, h1.surface_refractivity)) / 2.0 AS avg_refractivity
FROM qsos q
INNER JOIN hrrr_profiles h1
ON h1.lat = ROUND((q.pos1->>'lat')::numeric * 8) / 8
@ -172,37 +248,45 @@ defmodule Mix.Tasks.PropagationTrain do
AND q.pos2->>'lng' IS NOT NULL
"""
IO.puts(" Running QSO-HRRR join query...")
%{rows: rows} = Repo.query!(sql, [], timeout: @query_timeout)
IO.puts(" Matched #{length(rows)} QSOs to HRRR conditions")
band_counts = Enum.frequencies_by(rows, fn row -> Enum.at(row, 0) end)
# Group by band and compute within-band distance percentile as target.
# This converts raw distance to "how good were conditions relative to
# what's possible on this band" — reduces noise from operator/equipment.
# Compute within-band distance percentile
rows_by_band =
rows
|> Enum.filter(fn [band_mhz | _] -> Map.has_key?(@band_max_km, band_mhz) end)
|> Enum.group_by(fn [band_mhz | _] -> band_mhz end)
percentile_lookup =
percentile_rows =
Enum.flat_map(rows_by_band, fn {_band, band_rows} ->
distances = band_rows |> Enum.map(fn [_, d | _] -> d end) |> Enum.sort()
n = length(distances)
Enum.map(band_rows, fn [_, distance_km | _] = row ->
# Rank this distance within its band (0.0 to 1.0)
rank = Enum.count(distances, &(&1 <= distance_km))
pct = rank / n
{row, pct}
{row, rank / n}
end)
end)
{feature_rows, target_rows} =
percentile_lookup
|> Enum.map(fn {[band_mhz, _distance_km, utc_hour, month, lon, temp, dewpoint, pressure, grad, hpbl, pwat],
percentile} ->
percentile_rows
|> Enum.map(fn {[
band_mhz,
_dist,
utc_hour,
month,
lon,
lat,
temp,
dewpoint,
pressure,
grad,
hpbl,
pwat,
refractivity
], percentile} ->
features =
Model.encode_features(%{
surface_temp_c: to_float(temp),
@ -211,6 +295,8 @@ defmodule Mix.Tasks.PropagationTrain do
min_refractivity_gradient: to_float(grad),
hpbl_m: to_float(hpbl),
pwat_mm: to_float(pwat),
surface_refractivity: to_float(refractivity),
latitude: to_float(lat),
utc_hour: to_float(utc_hour),
month: trunc(to_float(month)),
longitude: to_float(lon),
@ -223,10 +309,55 @@ defmodule Mix.Tasks.PropagationTrain do
IO.puts(" After filtering: #{length(feature_rows)} training samples")
features_tensor = Nx.tensor(feature_rows, type: :f32)
targets_tensor = Nx.tensor(target_rows, type: :f32)
{Nx.tensor(feature_rows, type: :f32), Nx.tensor(target_rows, type: :f32), band_counts}
end
{features_tensor, targets_tensor, band_counts}
# ── Helpers ───────────────────────────────────────────────────────
defp shuffle(features, targets, n) do
key = Nx.Random.key(System.os_time())
{indices, _} = Nx.Random.shuffle(key, Nx.iota({n}))
indices = Nx.as_type(indices, :s64)
{Nx.take(features, indices), Nx.take(targets, indices)}
end
defp split(features, targets, n) do
nc = elem(Nx.shape(features), 1)
train_end = trunc(n * 0.8)
val_end = trunc(n * 0.9)
test_size = n - val_end
IO.puts(" Split: train=#{train_end}, val=#{val_end - train_end}, test=#{test_size}")
{
Nx.slice(features, [0, 0], [train_end, nc]),
Nx.slice(targets, [0, 0], [train_end, 1]),
Nx.slice(features, [train_end, 0], [val_end - train_end, nc]),
Nx.slice(targets, [train_end, 0], [val_end - train_end, 1]),
Nx.slice(features, [val_end, 0], [test_size, nc]),
Nx.slice(targets, [val_end, 0], [test_size, 1])
}
end
defp print_band_counts(counts) do
counts
|> Enum.sort_by(fn {band, _} -> band end)
|> Enum.each(fn {band, count} ->
IO.puts(" #{div(band, 1000)} GHz: #{count}")
end)
end
defp print_loss(loss) do
if is_float(loss) and loss == loss do
IO.puts(" Final loss: #{Float.round(loss, 6)}")
else
IO.puts(" Final loss: NaN (training diverged)")
System.halt(1)
end
end
defp print_eval(label, metrics) do
IO.puts(" #{label}: RMSE=#{Float.round(metrics.rmse * 100, 2)} pts, R²=#{Float.round(metrics.r_squared, 4)}")
end
defp to_float(nil), do: 0.0

View file

@ -33,7 +33,7 @@ defmodule Microwaveprop.Propagation.ModelTest do
assert {:ok, loaded} = Model.load(path)
# Predict with both and compare
input = Nx.broadcast(0.5, {1, 13})
input = Nx.broadcast(0.5, {1, 15})
original = Model.predict(params, input)
reloaded = Model.predict(loaded, input)
@ -53,7 +53,7 @@ defmodule Microwaveprop.Propagation.ModelTest do
Model.save(params, path)
loaded = Model.load_or_init(path)
input = Nx.broadcast(0.5, {1, 13})
input = Nx.broadcast(0.5, {1, 15})
assert Nx.to_flat_list(Model.predict(params, input)) == Nx.to_flat_list(Model.predict(loaded, input))
end
@ -66,8 +66,8 @@ defmodule Microwaveprop.Propagation.ModelTest do
describe "predict/2" do
test "produces output in [0, 1] range" do
params = Model.init()
# Single sample, 13 features
input = Nx.broadcast(0.5, {1, 13})
# Single sample, 15 features
input = Nx.broadcast(0.5, {1, 15})
output = Model.predict(params, input)
assert Nx.shape(output) == {1, 1}
@ -78,7 +78,7 @@ defmodule Microwaveprop.Propagation.ModelTest do
test "handles batch of multiple samples" do
params = Model.init()
input = Nx.broadcast(0.5, {4, 13})
input = Nx.broadcast(0.5, {4, 15})
output = Model.predict(params, input)
assert Nx.shape(output) == {4, 1}
@ -86,7 +86,7 @@ defmodule Microwaveprop.Propagation.ModelTest do
end
describe "encode_features/1" do
test "returns 13-element list" do
test "returns 15-element list" do
features =
Model.encode_features(%{
surface_temp_c: 25.0,
@ -100,13 +100,13 @@ defmodule Microwaveprop.Propagation.ModelTest do
freq_mhz: 10_000
})
assert length(features) == 13
assert length(features) == 15
assert Enum.all?(features, &is_float/1)
end
test "uses defaults for missing values" do
features = Model.encode_features(%{})
assert length(features) == 13
assert length(features) == 15
assert Enum.all?(features, &is_float/1)
end
@ -129,7 +129,7 @@ defmodule Microwaveprop.Propagation.ModelTest do
test "trains on synthetic data and returns state with metrics" do
# Generate small synthetic dataset: 64 samples, 13 features
key = Nx.Random.key(42)
{features, key} = Nx.Random.uniform(key, shape: {64, 13}, type: :f32)
{features, key} = Nx.Random.uniform(key, shape: {64, 15}, type: :f32)
{targets, _key} = Nx.Random.uniform(key, shape: {64, 1}, type: :f32)
{trained_state, metrics} = Model.train(features, targets, epochs: 2, batch_size: 32)
@ -144,7 +144,7 @@ defmodule Microwaveprop.Propagation.ModelTest do
test "returns rmse and r_squared" do
params = Model.init()
key = Nx.Random.key(42)
{features, key} = Nx.Random.uniform(key, shape: {32, 13}, type: :f32)
{features, key} = Nx.Random.uniform(key, shape: {32, 15}, type: :f32)
{targets, _key} = Nx.Random.uniform(key, shape: {32, 1}, type: :f32)
metrics = Model.evaluate(params, features, targets)
@ -213,8 +213,8 @@ defmodule Microwaveprop.Propagation.ModelTest do
end
describe "feature_names/0" do
test "returns 13 feature names" do
assert length(Model.feature_names()) == 13
test "returns 15 feature names" do
assert length(Model.feature_names()) == 15
end
end
end