Rumus-Rumus Dasar

 

Xgboost, PySR, AL Feynman, Ensemble

 

PySR

------

https://julialang.org/downloads/

pip install pysr

python -m julia.install

import pandas as pd

from pysr import PySRRegressor

from sklearn.model_selection import train_test_split

from sklearn.preprocessing import StandardScaler

# === BACA DATA ===

df = pd.read_csv("prediction.csv")

# === DEFINISI FITUR DAN TARGET ===

X = df[['Power', 'Speed', 'Spot', 'Thickness', 'Conductivity']]

y = df['Depth']

# === NORMALISASI (opsional tapi direkomendasikan) ===

scaler = StandardScaler()

X_scaled = scaler.fit_transform(X)

# === SPLIT DATA ===

X_train, X_test, y_train, y_test = train_test_split(X_scaled, y, test_size=0.2, random_state=42)

# === INISIALISASI MODEL PySR ===

model = PySRRegressor(

    niterations=1000,  # ITERASI MAKSIMUM

    model_selection="best",

    binary_operators=["+", "-", "*", "/"],

    unary_operators=[

        "cos", "sin", "exp", "log", "sqrt", "abs"

    ],

    extra_sympy_mappings={"sqrt": lambda x: x**0.5},

    loss="loss(x, y) = (x - y)^2",  # MSE

    verbosity=1,

    turbo=True,

    maxsize=50,

    populations=20,

    ncyclesperiteration=300,

)

# === LATIH MODEL ===

model.fit(X_train, y_train)

# === CETAK RUMUS TERBAIK ===

print("\n=== RUMUS TERBAIK DARI PySR ===")

print(model.get_best())

# === PREDIKSI DAN SIMPAN HASIL ===

y_pred = model.predict(X_test)

output = pd.DataFrame(X_test, columns=X.columns)

output['Actual'] = y_test.values

output['Predicted'] = y_pred

output['Error'] = y_test.values - y_pred

output['Abs_Error'] = abs(output['Error'])

output.to_excel("pysr_output.xlsx", index=False)

print("File 'pysr_output.xlsx' telah dibuat.")

-----------------------------------------------------------------------------

Xgboost

Advanced Mathematic

RSA Algorithm, Modulo & Multiplicative Inverse

 

-------------------------------------------------------------------------------------

Mathematical (3 Quadrat)

 Quadrat equation.

Cubic equation,

Quartic Equation

What happen with Flow and Pressure while Pipe Clogged

 

SULARSO BOOK PAGE-17 (Tegangan "Stress" & Regangan "Strain")

 

SULARSO BOOK PAGE-62 (Gaya Gesek pada Kopling/Friction on Coupling)

 

SULARSO BOOK PAGE-47 (Percepatan Radial/Radial Accelaeration)

 

Sularso Book Page-65 (Moment Puntir / Torsion)

Sularso Book, Page-18 (Shear Strain)

 

Dimensionless Analysis of Sugarcane

This link for excel calculation result (Link)