Vector optimization is a subarea of mathematical optimization where optimization problems with a vector-valued objective functions are optimized with respect to a given partial ordering and subject to certain constraints. A multi-objective optimization problem is a special case of a vector optimization problem: The objective space is the finite dimensional Euclidean space partially ordered by the component-wise "less than or equal to" ordering.
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Vectoroptimization is a subarea of mathematical optimization where optimization problems with a vector-valued objective functions are optimized with respect...
single-objective optimization cases are presented. In the second part, test functions with their respective Pareto fronts for multi-objective optimization problems...
hyperparameter optimization methods. Bayesian optimization is a global optimization method for noisy black-box functions. Applied to hyperparameter optimization, Bayesian...
In machine learning, support vector machines (SVMs, also support vector networks) are supervised max-margin models with associated learning algorithms...
minimal optimization (SMO) is an algorithm for solving the quadratic programming (QP) problem that arises during the training of support-vector machines...
A vector database, vector store or vector search engine is a database that can store vectors (fixed-length lists of numbers) along with other data items...
by using another overlaying optimizer, a concept known as meta-optimization, or even fine-tuned during the optimization, e.g., by means of fuzzy logic...
generally divided into two subfields: discrete optimization and continuous optimization. Optimization problems arise in all quantitative disciplines from...
Bilevel optimization is a special kind of optimization where one problem is embedded (nested) within another. The outer optimization task is commonly referred...
elements Automatic vectorization, a compiler optimization that transforms loops to vector operations Image tracing, the creation of vector from raster graphics...
Convex optimization is a subfield of mathematical optimization that studies the problem of minimizing convex functions over convex sets (or, equivalently...
explore properly efficient solutions of nonlinear vectoroptimization problems. In global optimization, he focused a good portion of his work on the theory...
representations of the computation being optimized and the optimization(s) being performed. Loop optimization can be viewed as the application of a sequence...
science and economics, an optimization problem is the problem of finding the best solution from all feasible solutions. Optimization problems can be divided...
already been introduced, and was added to SGD optimization techniques in 1986. However, these optimization techniques assumed constant hyperparameters,...
Advanced Vector Extensions (AVX, also known as Gesher New Instructions and then Sandy Bridge New Instructions) are SIMD extensions to the x86 instruction...
that can be vectorized, relying on the data dependence of the instructions inside loops. Automatic vectorization, like any loop optimization or other compile-time...
optimization is a feature of many relational database management systems and other databases such as NoSQL and graph databases. The query optimizer attempts...
Sweden, and the USA. Vector Informatik also includes Vector Consulting Services GmbH, a consultation firm specializing in optimization of technical product...
Gradient descent is a method for unconstrained mathematical optimization. It is a first-order iterative algorithm for finding a local minimum of a differentiable...
conflicting objectives Benson's algorithm — for linear vectoroptimization problems Bilevel optimization — studies problems in which one problem is embedded...
known as "Advisor XE", "Vectorization Advisor" or "Threading Advisor") is a design assistance and analysis tool for SIMD vectorization, threading, memory use...
Lexicographic optimization is a kind of Multi-objective optimization. In general, multi-objective optimization deals with optimization problems with two...
use, storage size, and power consumption. Optimization is generally implemented as a sequence of optimizing transformations, algorithms that transform...
Conic optimization is a subfield of convex optimization that studies problems consisting of minimizing a convex function over the intersection of an affine...