ANN regression problem with high loss - Python Pandas

I try to run an artificial neural network with 2 parameters in input that can give me the value of the command.

An example of the dataset in CSV file:

P1,P2,S
7.03,3.36,787.75
6.11,3.31,491.06
5.92,3.34,480.4
5.0,3.39,469.77
5.09,3.36,481.14
5.05,3.35,502.2
4.97,3.38,200.75
5.01,3.34,464.36
5.0,3.42,475.1
4.94,3.36,448.8
4.97,3.37,750.3
5.1,3.39,344.93
5.03,3.41,199.75
5.03,3.39,484.35
5.0,3.47,483.17
4.91,3.42,485.29
3.65,3.51,513.81
5.08,3.47,443.94
5.06,3.4,473.77
5.0,3.42,535.78
3.45,3.44,483.23
4.94,3.45,449.49
4.94,3.51,345.14
5.05,3.48,2829.14
5.01,3.45,1465.58
4.96,3.45,1404.53
3.35,3.58,453.09
5.09,3.47,488.02
5.12,3.52,451.12
5.15,3.54,457.48
5.07,3.53,458.07
5.11,3.5,458.69
5.11,3.47,448.13
5.01,3.42,474.44
4.92,3.44,443.44
5.08,3.53,476.89
5.01,3.49,505.67
5.01,3.47,451.82
4.95,3.49,460.96
5.14,3.42,422.13
5.14,3.42,431.44
5.03,3.46,476.09
4.95,3.53,486.88
5.03,3.42,489.81
5.07,3.45,544.39
5.01,3.52,630.21
5.16,3.49,484.47
5.03,3.52,450.83
5.12,3.48,505.6
5.13,3.54,8400.34
4.99,3.49,615.57
5.13,3.46,673.72,
5.19,3.52,522.31
5.11,3.52,417.29
5.15,3.49,454.97
4.96,3.55,3224.72
5.12,3.54,418.85
5.06,3.53,489.87
5.05,3.45,433.04,
5.0,3.46,491.56
12.93,3.48,3280.98
5.66,3.5,428.5
4.98,3.59,586.43
4.96,3.51,427.67
5.06,3.54,508.53
4.88,3.49,1040.43
5.11,3.52,467.79
5.18,3.54,512.79
5.11,3.52,560.05
5.08,3.53,913.69
5.12,3.53,521.1
5.15,3.52,419.24
5.12,3.56,527.72
5.03,3.52,478.1
5.1,3.55,450.32
5.08,3.53,451.12
4.89,3.53,514.78
4.92,3.46,469.23
5.03,3.53,507.8
4.96,3.56,2580.22
4.99,3.52,516.24
5.0,3.55,525.96
3.66,3.61,450.69
4.91,3.53,487.98
4.97,3.54,443.86
3.53,3.57,628.8
5.02,3.51,466.91
6.41,3.46,430.19
5.0,3.58,589.98
5.06,3.55,711.22
5.26,3.55,2167.16
6.59,3.53,380.59
6.12,3.47,723.56
6.08,3.47,404.59
6.09,3.49,509.5
5.75,3.52,560.21
5.11,3.58,414.83
5.56,3.17,411.22
6.66,3.26,219.38
5.52,3.2,422.13
7.91,3.22,464.87
7.14,3.2,594.18
6.9,3.21,491.0
6.98,3.28,642.09
6.39,3.22,394.49
5.82,3.19,616.82
5.71,3.13,479.6
5.31,3.1,430.6
6.19,3.34,435.42
4.88,3.42,518.14
4.88,3.36,370.93
4.88,3.4,193.36
5.11,3.47,430.06
4.77,3.46,379.38
5.34,3.39,465.39
6.27,3.29,413.8
6.22,3.19,633.28
5.22,3.45,444.14
4.08,3.42,499.91
3.57,3.48,534.41
4.1,3.48,373.8
4.13,3.49,443.57
4.07,3.48,463.74
4.13,3.46,419.92
4.21,3.44,457.76
4.13,3.41,339.31
4.23,3.51,893.39
4.11,3.45,392.54
4.99,3.44,472.96
4.96,3.45,192.54
5.0,3.48,191.22
5.25,3.43,425.64
5.11,3.41,191.12
5.06,3.44,422.32
5.08,3.44,973.29
5.23,3.43,400.67
5.15,3.44,404.2
6.23,3.46,383.07
6.07,3.37,484.3
6.17,3.44,549.94
4.7,3.45,373.43
5.56,3.41,379.33
5.12,3.45,357.51
5.87,3.42,349.89
5.49,3.44,374.4
5.14,3.44,361.11
6.09,3.46,521.23
5.68,3.5,392.98
5.04,3.44,406.9
5.07,3.42,360.8
5.14,3.38,406.48
4.14,3.56,362.45
4.09,3.48,421.83
4.1,3.48,473.64
4.04,3.53,378.35
4.16,3.47,424.59
4.07,3.47,366.27
3.53,3.59,484.37
4.07,3.51,417.12
4.21,3.49,2521.87
4.15,3.5,458.69
4.08,3.52,402.48
4.2,3.47,373.26
3.69,3.5,486.62
4.24,3.51,402.12
4.19,3.5,414.79
4.13,3.55,390.08
4.2,3.5,452.96
4.06,3.52,524.97
4.22,3.47,442.46
4.07,3.5,403.13
4.07,3.51,404.54
4.17,3.46,393.33
4.1,3.4,430.81
4.05,3.41,365.2
4.11,3.47,412.8
4.13,3.49,431.14
4.03,3.51,417.5
3.9,3.48,386.62
4.16,3.49,351.71
5.18,3.48,351.43
4.49,3.5,336.33
3.7,3.51,551.8
6.39,3.44,369.79
6.74,3.35,408.57
6.0,3.38,2924.54
6.61,3.36,449.27
4.91,3.42,361.8
5.81,3.43,470.62
5.8,3.48,389.52
4.81,3.45,403.57
5.75,3.43,570.8
5.68,3.42,405.9
5.9,3.4,458.53
6.51,3.45,374.3
6.63,3.38,406.68
6.85,3.35,382.9
6.8,3.46,398.47
4.81,3.47,398.39
8.3,3.48,538.2

The code :

import pandas as pd
import matplotlib.pyplot as plt

plt.style.use('ggplot')

concatenation = pd.read_csv('concatenation.csv')

X = concatenation.iloc[:, :2].values # 2 columns
y = concatenation.iloc[:, 2].values # 1 column

from sklearn.model_selection import train_test_split
X_train, X_test, y_train, y_test = train_test_split(X, y, test_size = 0.3, random_state = 0)


from sklearn.preprocessing import StandardScaler
sc = StandardScaler()
X_train = sc.fit_transform(X_train)
X_test = sc.transform(X_test)

from tensorflow.keras import Sequential
from tensorflow.keras.layers import Dense

model = Sequential()
model.add(Dense(units=128, activation='relu'))
model.add(Dense(units=64, activation='relu'))
model.add(Dense(units=1, activation='linear'))

model.compile(loss='mean_squared_error', optimizer='adam')
model.fit(X_train, y_train, epochs= 1000)

But I have a problem during the training, I have high loss, I can not understand why?

Epoch 1/1000
10/10 [==============================] - 1s 22ms/step - loss: 407736.7188 - mae: 431.3878 - val_loss: 269746.6875 - val_mae: 380.4598
Epoch 2/1000
10/10 [==============================] - 0s 7ms/step - loss: 407391.1875 - mae: 431.0146 - val_loss: 269452.0625 - val_mae: 380.0934
Epoch 3/1000
10/10 [==============================] - 0s 8ms/step - loss: 407016.3750 - mae: 430.5912 - val_loss: 269062.3125 - val_mae: 379.6077
Epoch 4/1000
10/10 [==============================] - 0s 7ms/step - loss: 406472.7188 - mae: 430.0183 - val_loss: 268508.0312 - val_mae: 378.9190
Epoch 5/1000
10/10 [==============================] - 0s 9ms/step - loss: 405686.1562 - mae: 429.1566 - val_loss: 267709.7812 - val_mae: 377.9213
...

I checked that I didn't have a null value, I standardized my X_train I didn't touch the outputs and I am well in case of regression with the right optimizer and the right loss function... so I can't understand why

source https://stackoverflow.com/questions/73393919/ann-regression-problem-with-high-loss-python-pandas