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Multivariate derivative (mathematics)
In vector calculus, the gradient ∇f of a scalar-valued differentiable function f of several variables is the vector field (or vector-valued function) whose
Gradient
Optimization algorithm
Gradient descent is a method for unconstrained mathematical optimization. It is a first-order iterative algorithm for minimizing a differentiable multivariate
Gradient_descent
Topics referred to by the same term
rate. Gradient may also refer to: Gradient sro, a Czech aircraft manufacturer Image gradient, a gradual change or blending of color Color gradient, a range
Gradient_(disambiguation)
Machine learning technique
Gradient boosting is a machine learning technique based on boosting in a functional space, where the target is pseudo-residuals instead of residuals as
Gradient_boosting
surface gradient is a vector differential operator that is similar to the conventional gradient. The distinction is that the surface gradient takes effect
Surface_gradient
Space rate of variation of pressure in a given direction
In hydrodynamics and hydrostatics, the pressure gradient (typically of air but more generally of any fluid) is a physical quantity that describes in which
Pressure_gradient
Optimization algorithm
Stochastic gradient descent (often abbreviated SGD) is an iterative method for optimizing an objective function with suitable smoothness properties (e
Stochastic_gradient_descent
Distortion in size which closer objects have compared to objects farther away
Texture gradient is the distortion in size which closer objects have compared to objects further away. It also involves groups of objects appearing denser
Texture_gradient
Machine learning model training problem
In machine learning, the vanishing gradient problem is the problem of greatly diverging gradient magnitudes between earlier and later layers encountered
Vanishing_gradient_problem
Class of reinforcement learning algorithms
Policy gradient methods are a class of reinforcement learning algorithms and a sub-class of policy optimization methods. Unlike value-based methods which
Policy_gradient_method
Evaluates a line integral through a gradient field using the original scalar field
The gradient theorem, also known as the fundamental theorem of calculus for line integrals, says that a line integral through a gradient field can be evaluated
Gradient_theorem
Mathematical optimization algorithm
In mathematics, the conjugate gradient method is an algorithm for the numerical solution of particular systems of linear equations, namely those whose
Conjugate_gradient_method
image gradient represents the derivative of an image, so the goal of gradient domain processing is to construct a new image by integrating the gradient, which
Gradient-domain image processing
Gradient-domain_image_processing
Mathematical concept
everywhere orthogonal to the gradient of the function and that has the same magnitude as the gradient. The skew gradient can be defined using complex
Skew_gradient
Temperature difference per unit of length
A temperature gradient is a physical quantity that describes in which direction and at what rate the temperature changes the most rapidly around a particular
Temperature_gradient
Optimization algorithm for artificial neural networks
In machine learning, backpropagation is a gradient computation method commonly used for training a neural network in computing parameter updates. It is
Backpropagation
Rate of temperature increase with depth in Earth's interior
Geothermal gradient is the rate of change in temperature with respect to increasing depth in Earth's interior. As a general rule, the crust temperature
Geothermal_gradient
British artificial intelligence company
Gradient Labs is a British startup company, founded in 2023. In 2025, Gradient Labs was considered one of Europe's 50 most promising seed-stage startups
Gradient_Labs
Gradient of electrochemical potential, usually for an ion that can move across a membrane
electrochemical gradient is a gradient of electrochemical potential, usually for an ion that can move across a membrane. The gradient consists of two
Electrochemical_gradient
Science of using a material's refractive index for optical effects
Gradient-index (GRIN) optics is the branch of optics covering optical effects produced by a gradient of the refractive index of a material. Such gradual
Gradient-index_optics
Directional change in the intensity or color in an image
An image gradient is a directional change in the intensity or color in an image. The gradient of the image is one of the fundamental building blocks in
Image_gradient
Respiratory parameter for differential diagnosis of hypoxemia
The Alveolar–arterial gradient (A-aO 2, or A–a gradient), is a measure of the difference between the alveolar concentration (A) of oxygen and the arterial
Alveolar–arterial_gradient
Force resulting from a difference in pressure across a surface
In fluid mechanics, the pressure-gradient force is the force that results when there is a difference in pressure across a surface. In general, a pressure
Pressure-gradient_force
Difference between the dilation and the erosion of a given image
mathematical morphology and digital image processing, a morphological gradient is the difference between the dilation and the erosion of a given image
Morphological_gradient
Gradient whose components are spatial derivatives
A spatial gradient is a gradient whose components are spatial derivatives, i.e., rate of change of a given physical quantity with respect to the position
Spatial_gradient
Surface slope along a watercourse
Stream gradient (or stream slope) is the grade (or slope) of a stream. It is measured by the ratio of drop in elevation and horizontal distance. It is
Stream_gradient
Specifies a range of position-dependent colors
In color science, a color gradient (also known as a color ramp or a color progression) specifies a range of position-dependent colors, usually used to
Color_gradient
Four-vector analogue of the gradient operation
geometry, the four-gradient (or 4-gradient) ∂ {\displaystyle {\boldsymbol {\partial }}} is the four-vector analogue of the gradient ∇ → {\displaystyle
Four-gradient
Term in road design
Drainage gradient (DG) is a term in road design, defined as the combined slope due to road surface cross slope (CS) and longitudinal slope (hilliness)
Drainage_gradient
discipline, and more specifically in Morse theory, a gradient-like vector field is a generalization of gradient vector field. The primary motivation is as a technical
Gradient-like_vector_field
Mathematical descriptions of molecular diffusion
proportional to the particle's concentration gradient. Fick's second law: Prediction of change in concentration gradient with time due to diffusion. A diffusion
Fick's_laws_of_diffusion
Mathematical term
In mathematics, the slope or gradient of a line is a number that describes the direction of the line on a plane. It is commonly denoted by the letter m
Slope
Rate of increase in wind strength per unit increase in height
In common usage, wind gradient, more specifically wind speed gradient or wind velocity gradient, or alternatively shear wind, is the vertical component
Wind_gradient
American sports car racing team
Gradient Racing is an American sports car racing team that currently competes in the GTD class of the IMSA SportsCar Championship. The team was founded
Gradient_Racing
Density gradient is a spatial variation in density over a region. The term is used in the natural sciences to describe varying density of matter, but can
Density_gradient
Vector differential operator
denote any one of three operations depending on the way it is applied: the gradient or (locally) steepest slope of a scalar field (or sometimes of a vector
Del
Rate of change of speed of sound with distance
In acoustics, the sound speed gradient is the rate of change of the speed of sound with distance, for example with depth in the ocean, or height in the
Sound_speed_gradient
Field of machine learning
The two approaches available are gradient-based and gradient-free methods. Gradient-based methods (policy gradient methods) start with a mapping from
Reinforcement_learning
gradient of the function at the current point.[clarification needed] Examples of gradient methods are the gradient descent and the conjugate gradient
Gradient_method
Method for the stabilization and the orientation of various spacecraft
Gravity-gradient stabilization or tidal stabilization is a passive method of stabilizing artificial satellites or space tethers in a fixed orientation
Gravity-gradient stabilization
Gravity-gradient_stabilization
Angle to the horizontal plane
The grade (US) or gradient (UK) (also called slope, incline, mainfall, pitch or rise) of a physical feature, landform or constructed line is either the
Grade_(slope)
Type of MRI sequence
Gradient echo is a magnetic resonance imaging (MRI) sequence that has wide variety of applications, from magnetic resonance angiography to perfusion MRI
Gradient_echo
environmental gradient, or climate gradient, is a change in abiotic (non-living) factors through space (or time). Environmental gradients can be related
Environmental_gradient
A selection gradient describes the relationship between a character trait and a species' relative fitness. A trait may be a physical characteristic, such
Selection_gradient
Rate of change of the electric field at an atomic nucleus
In atomic, molecular, and solid-state physics, the electric field gradient (EFG) measures the rate of change of the electric field at an atomic nucleus
Electric_field_gradient
Microsoft open source gradient boosting framework for machine learning
LightGBM, short for Light Gradient-Boosting Machine, is a free and open-source distributed gradient-boosting framework for machine learning, originally
LightGBM
Type of gradient noise in computer graphics
Perlin noise is a type of gradient noise developed by Ken Perlin in 1983. Its application include procedurally generating terrain, applying pseudo-random
Perlin_noise
In computer networking, delay-gradient congestion control refers to a class of congestion control algorithms, which react to the differences in round-trip
Delay-gradient congestion control
Delay-gradient_congestion_control
Gradient pattern analysis (GPA) is a geometric computing method for characterizing geometrical bilateral symmetry breaking of an ensemble of symmetric
Gradient_pattern_analysis
Movement of molecules to lower concentration
transport occurs through viscous flow of the solvent under a pressure gradient. Osmosis is a vital process in biological systems, as biological membranes
Osmosis
Type of noise in computer graphics
Gradient noise is a type of noise commonly used as a procedural texture primitive in computer graphics. It is conceptually different from[further explanation
Gradient_noise
Pressure exerted by circulating blood upon the walls of arteries
Blood pressure (BP) is the pressure of circulating blood against the walls of blood vessels. Most of this pressure results from the heart pumping blood
Blood_pressure
Variation of the redox potential with distance (or depth)
A redox gradient is a series of reduction-oxidation (redox) reactions sorted according to redox potential. The redox ladder displays the order in which
Redox_gradient
Model-free reinforcement learning algorithm
algorithm for training an intelligent agent. Specifically, it is a policy gradient method, often used for deep RL when the policy network is very large. The
Proximal_policy_optimization
Particle accelerator at Brookhaven National Laboratory
The Alternating Gradient Synchrotron (AGS) is a particle accelerator located at the Brookhaven National Laboratory in Long Island, New York, United States
Alternating Gradient Synchrotron
Alternating_Gradient_Synchrotron
Military concept
The loss-of-strength gradient (LSG) is a military concept devised by Kenneth E. Boulding in his 1962 book Conflict and Defense: A General Theory. He argued
Loss-of-strength_gradient
Method of separating out molecules on a gel
Temperature gradient gel electrophoresis (TGGE) and denaturing gradient gel electrophoresis (DGGE) are forms of electrophoresis which use either a temperature
Temperature gradient gel electrophoresis
Temperature_gradient_gel_electrophoresis
Magnetic resonance imaging sequence
zero by refocusing all imaging gradients. If, within one TR, either one of the gradient moments of magnetic gradients along three logical directions,
Steady-state free precession imaging
Steady-state_free_precession_imaging
Global increase in species richness from polar regions to tropics
organisms, often referred to as the latitudinal diversity gradient. The latitudinal diversity gradient is one of the most widely recognized patterns in ecology
Latitudinal gradients in species diversity
Latitudinal_gradients_in_species_diversity
Optimization and sampling technique
Stochastic gradient Langevin dynamics (SGLD) is an optimization and sampling technique composed of characteristics from Stochastic gradient descent, a
Stochastic gradient Langevin dynamics
Stochastic_gradient_Langevin_dynamics
Computer vision framework
Gradient vector flow (GVF), a computer vision framework introduced by Chenyang Xu and Jerry L. Prince, is the vector field that is produced by a process
Gradient_vector_flow
Image edge detection algorithm
Image Gradient Operator" at a talk at SAIL in 1968. Technically, it is a discrete differentiation operator, computing an approximation of the gradient of
Sobel_operator
(+)gradient 180°(x) (+)gradient Suppression of transverse magnetization (Ix, Sx, Iy etc.): (+)gradient 180°(x) (-)gradient *Ralph E. Hurd, Gradient-Enhanced
Gradient enhanced NMR spectroscopy
Gradient_enhanced_NMR_spectroscopy
Immobilized pH gradient (IPG) gels are the acrylamide gel matrix co-polymerized with the pH gradient, which result in completely stable gradients except the
Immobilized_pH_gradient
Gradient boosting machine learning library
XGBoost (eXtreme Gradient Boosting) is an open-source software library which provides a regularizing gradient boosting framework for C++, Java, Python
XGBoost
Sustainable energy from sea and river water
Osmotic power, salinity gradient power or blue energy is the energy available from the difference in the salt concentration between seawater and river
Osmotic_power
steep gradients on railways avoids the expensive engineering work required to produce more gentle gradients. However, the maximum feasible gradient is limited
List of steepest gradients on adhesion railways
List_of_steepest_gradients_on_adhesion_railways
Technique in analytical chemistry
solvents together at a ratios changing in time, generating a composition gradient in the mobile phase. Newer HPLC instruments have a column oven that allows
High-performance liquid chromatography
High-performance_liquid_chromatography
Assignment of a vector to each point in a subset of Euclidean space
scalar fields using the gradient operator (denoted by the del: ∇). A vector field V defined on an open set S is called a gradient field (or a conservative
Vector_field
Gradient in the rates of molecular diffusion
A diffusion gradient is a gradient in the rates of diffusion of multiple groups of molecules through a medium or substrate. The groups of molecules may
Diffusion_gradient
the gradient used and can display gradient or graded transitions. A wide range of methods can be used to create these gradients including gradients in
Mechanically gradient polymers
Mechanically_gradient_polymers
Cellular molecule transport mechanism against the concentration gradient
concentration to a region of higher concentration—against the concentration gradient. Active transport requires cellular energy to achieve this movement. There
Active_transport
Decentralized machine learning
optimization have been proposed. Stochastic gradient descent is an approach used in deep learning, where gradients are computed on a random subset of the total
Federated_learning
Vehicle dynamics terms
if the understeer gradient is positive, oversteer if the understeer gradient is negative, and neutral steer if the understeer gradient is zero. Car and
Understeer_and_oversteer
Technique used in stochastic gradient variational inference
The reparameterization trick (aka "reparameterization gradient estimator") is a technique used in statistical machine learning, particularly in variational
Reparameterization_trick
Natural movement of air or other gases relative to a planet's surface
component is the result of the balance between Coriolis force and pressure gradient force. It flows parallel to isobars and approximates the flow above the
Wind
Ecological pattern in which biodiversity changes with elevation
Elevational diversity gradient (EDG) is an ecological pattern where biodiversity changes with elevation. The EDG states that species richness tends to
Elevational diversity gradient
Elevational_diversity_gradient
Hypothesis in ecology
The stress gradient hypothesis (SGH) is an evolutionary theory in microbial ecology and community ecology that provides a framework to predict when positive
Stress_gradient_hypothesis
Local rate of change in potential with respect to displacement
biology, a potential gradient is the local rate of change of the potential with respect to displacement, i.e. spatial derivative, or gradient. This quantity
Potential_gradient
River section with increased velocity and turbulence
the river bed has a relatively steep gradient, causing an increase in water velocity and turbulence. Flow, gradient, constriction, and obstacles are four
Rapids
Method of machine learning
incremental gradient descent iterations are also stochastic estimates of the gradient of In[w], this interpretation is also related to the stochastic gradient descent
Online_machine_learning
Image edge detection algorithm
the image in order to remove the noise Find the intensity gradients of the image Apply gradient magnitude thresholding or lower bound cut-off suppression
Canny_edge_detector
Concept in mathematics
In numerical linear algebra, the biconjugate gradient stabilized method, often abbreviated as BiCGSTAB, is an iterative method developed by H. A. van der
Biconjugate gradient stabilized method
Biconjugate_gradient_stabilized_method
water-flow gradient as either low gradient channels for streams or rivers with less than two percent (2%) flow gradient, or high gradient channels for
Channel_types
by Gradient: Gradient Agility Gradient Aspen Gradient Avax Gradient BiGolden Gradient BiOnyx Gradient Bliss Gradient Bright Gradient Delite Gradient Denali
Gradient_sro
Feature descriptor used in computer vision
The histogram of oriented gradients (HOG) is a feature descriptor used in computer vision and image processing for the purpose of object detection. The
Histogram of oriented gradients
Histogram_of_oriented_gradients
Machine learning technique for privacy-preserving training
Differentially private stochastic gradient descent (DP-SGD) is an algorithmic technique for learning and a refined analysis of privacy costs within the
Differentially private stochastic gradient descent
Differentially_private_stochastic_gradient_descent
Last part of the digestive system in vertebrates
transmucosal osmotic pressure gradient. The standing gradient osmosis is the reabsorption of water against the osmotic gradient in the intestines. Cells occupying
Large_intestine
Computer scientist
known for his contributions to temporal difference learning and policy gradient methods. He proposed the "bitter lesson", an influential observation about
Richard_S._Sutton
Matrix of partial derivatives of a vector-valued function
scalar-valued function of several variables is (the transpose of) its gradient and the gradient of a scalar-valued function of a single variable is its derivative
Jacobian matrix and determinant
Jacobian_matrix_and_determinant
Type of kernel induced by artificial neural networks
methods: gradient descent in the infinite-width limit is fully equivalent to kernel gradient descent with the NTK. As a result, using gradient descent
Neural_tangent_kernel
Laser cooling technique
Polarization gradient cooling (PG cooling), or Sisyphus cooling, is a technique in laser cooling of atoms by dampening the motion of the trapped particles
Polarization_gradient_cooling
A biomolecular gradient is established by a difference in the concentration of molecules in a biological system such as individual cells, groups of cells
Biomolecular_gradient
Pressure gradient in which pressure increases in the direction of fluid flow
In fluid dynamics, an adverse pressure gradient is a pressure gradient in which the static pressure increases in the direction of the flow. Mathematically
Adverse_pressure_gradient
Calculation used in medicine
The serum-ascites albumin gradient or gap (SAAG) is a calculation used in medicine to help determine the cause of ascites. The SAAG may be a better discriminant
Serum-ascites albumin gradient
Serum-ascites_albumin_gradient
Computational quantum mechanical modelling method to investigate electronic structure
correlation, in order to understand the origin of specific electric field gradients in crystals. DFT sometimes does not properly describe: intermolecular
Density_functional_theory
Algorithm used to solve non-linear least squares problems
interpolates between the Gauss–Newton algorithm (GNA) and the method of gradient descent. The LMA is more robust than the GNA, which means that in many
Levenberg–Marquardt_algorithm
Copolymer in which the transition between different types of monomer is gradual
In polymer chemistry, gradient copolymers are copolymers in which the change in monomer composition is gradual from predominantly one species to predominantly
Gradient_copolymer
Prediction model used in Engineering
Gradient-enhanced kriging (GEK) is a surrogate modeling technique used in engineering. A surrogate model (alternatively known as a metamodel, response
Gradient-enhanced_kriging
Form of projection
Proximal gradient methods are a generalized form of projection used to solve non-differentiable convex optimization problems. Many interesting problems
Proximal_gradient_method
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