Related Experiment Video
Updated: Feb 8, 2026

08:50
Predictive Immune Modeling of Solid Tumors
Published on: February 25, 2020
7.6K
Solid harmonic wavelet scattering for predictions of molecule properties
Michael Eickenberg1, Georgios Exarchakis1, Matthew Hirn2
1Department of Computer Science, École Normale Supérieure, PSL Research University, 75005 Paris, France.
The Journal of Chemical Physics
|July 2, 2018
Summary
We developed a machine learning method using density functional theory (DFT) principles to predict molecular properties. This approach achieves high accuracy with minimal data, offering interpretable and precise predictions.
Area of Science:
- Computational chemistry
- Machine learning
- Quantum mechanics
Background:
- Predicting molecular properties is crucial for drug discovery and materials science.
- Traditional methods like density functional theory (DFT) are computationally expensive.
- Machine learning offers a potential avenue for faster property prediction.
Purpose of the Study:
- To develop a novel machine learning algorithm for predicting molecular properties.
- To leverage concepts from DFT for improved accuracy and interpretability.
- To create a computationally efficient method for molecular property prediction.
Main Methods:
- Utilized Gaussian-type orbital functions to generate surrogate electronic densities.
- Computed invariant "solid harmonic scattering coefficients" capturing multi-scale interactions.
- Employed multilinear regressions on these coefficients to predict physical properties.
Main Results:
- The developed algorithm demonstrates near state-of-the-art performance.
- Achieved high accuracy even with limited training data.
- Predictions using small sets of coefficients reached DFT precision and remained interpretable.
Conclusions:
- The machine learning algorithm effectively predicts molecular properties.
- The method offers a balance of accuracy, interpretability, and computational efficiency.
- This approach shows promise for accelerating molecular property prediction in computational chemistry.
Related Concept Videos
Molecular and Ionic Solids
20.2K
Crystalline solids are divided into four types: molecular, ionic, metallic, and covalent network based on the type of constituent units and their interparticle interactions.
Molecular Solids
Molecular crystalline solids, such as ice, sucrose (table sugar), and iodine, are solids that are composed of neutral molecules as their constituent units. These molecules are held together by weak intermolecular forces such as London dispersion forces, dipole-dipole interactions, or hydrogen bonds, which...
Molecular Solids
Molecular crystalline solids, such as ice, sucrose (table sugar), and iodine, are solids that are composed of neutral molecules as their constituent units. These molecules are held together by weak intermolecular forces such as London dispersion forces, dipole-dipole interactions, or hydrogen bonds, which...
20.2K
Harmonic Mean
3.8K
The arithmetic mean is usually skewed towards the larger values in the data set. Therefore, to avoid this inherent bias towards smaller values, the harmonic mean is used.
Take the example of the speed of a car, which is the measure of the rate of distance traveled. If the vehicle traverses the same distance back-and-forth, its average speed equals the total distance traveled divided by the total time taken. However, if the car moves with varying speeds, then the arithmetic mean is more skewed...
Take the example of the speed of a car, which is the measure of the rate of distance traveled. If the vehicle traverses the same distance back-and-forth, its average speed equals the total distance traveled divided by the total time taken. However, if the car moves with varying speeds, then the arithmetic mean is more skewed...
3.8K
Kinetic Molecular Theory and Gas Laws Explain Properties of Gas Molecules
37.5K
The test of the kinetic molecular theory (KMT) and its postulates is its ability to explain and describe the behavior of a gas. The various gas laws (Boyle’s, Charles’s, Gay-Lussac’s, Avogadro’s, and Dalton’s laws) can be derived from the assumptions of the KMT, which have led chemists to believe that the assumptions of the theory accurately represent the properties of gas molecules.
37.5K
Predicting Molecular Geometry
46.0K
VSEPR Theory for Determination of Electron Pair Geometries
46.0K
Metallic Solids
20.8K
Metallic solids such as crystals of copper, aluminum, and iron are formed by metal atoms. The structure of metallic crystals is often described as a uniform distribution of atomic nuclei within a “sea” of delocalized electrons. The atoms within such a metallic solid are held together by a unique force known as metallic bonding that gives rise to many useful and varied bulk properties.
All metallic solids exhibit high thermal and electrical conductivity, metallic luster, and malleability....
All metallic solids exhibit high thermal and electrical conductivity, metallic luster, and malleability....
20.8K
Structures of Solids
17.9K
Solids in which the atoms, ions, or molecules are arranged in a definite repeating pattern are known as crystalline solids. Metals and ionic compounds typically form ordered, crystalline solids. A crystalline solid has a precise melting temperature because each atom or molecule of the same type is held in place with the same forces or energy. Amorphous solids or non-crystalline solids (or, sometimes, glasses) which lack an ordered internal structure and are randomly arranged. Substances that...
17.9K

