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arXiv research

A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.

168,932 papers · 148 categories

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48 results for objective function

Neural-optimized objective functions simplify optimization tasks.

problem Designing effective objective functions for optimization problems is challenging.
method A neural network learns the objective function from training data through an inner and outer optimization process.
result The approach can learn objective functions from data and produce solutions for optimization tasks.

A new method for incorporating preferences in multi-objective Bayesian optimization.

problem Incorporating preferences in computationally expensive multi-objective optimization problems.
method Building independent surrogate models on each objective function and using Generalised value distribution to approximate the scalarizing function.
result The proposed multi-surrogate approach outperforms the mono-surrogate approach on benchmark and real-world problems.

Many objective Bayesian optimization tackles redundant objectives in expensive black-box functions.

problem Efficiently optimizing multiple expensive and noisy black-box functions with redundant objectives.
method Proposes a metric to identify redundant objectives and a Bayesian optimization algorithm to stop evaluating them.
result Reduces computational cost by stopping evaluation of redundant objectives, improving efficiency.

We propose a new neural sequence model training method in which the objective function is defined by αα-divergence. We demonstrate that the objective function generalizes the maximum-likelihood (ML)-based and reinforcement learning (RL)-based objective functions as special cases (i.e., ML corresponds to α0α\to 0 and R…

2017-06-30abs ↗pdf ↗

Cost-aware multi-objective Bayesian optimization for non-uniformly expensive functions.

problem Non-uniform cost of function evaluations in Bayesian optimization.
method Introduces cost-aware constraints and a new acquisition function to optimize multi-objective functions with varying costs.
result Demonstrates improved optimization in hyperparameter tuning of neural networks and random forests.

Simulated annealing improves candidate optimization for multi-objective Bayesian optimization.

problem Efficient candidate optimization for multi-objective acquisition functions in Bayesian optimization.
method Simulated annealing-based approach for batch acquisition function optimization.
result Simulated annealing outperforms SLSQP in most multi-objective optimization problems, achieving higher hypervolume values and better convergence characteristics.

Proposes a method to learn both constraints and objective functions from data.

problem Data-driven inverse optimization for mixed-integer linear programs (MILPs).
method Two-stage approach: first learns constraints, then estimates objective-function weights conditioned on learned constraints.
result Proposes and validates a method for learning both objective functions and constraints from data.

Improves Bayesian optimization by focusing on well-behaved structure in objectives.

problem Bayesian optimization struggles with real-world objectives that are often poorly behaved.
method Proposes surrogate models that focus on well-behaved structure, absorbing challenging structures as irreducible uncertainty.
result Surrogate models with appropriate noise distributions improve reliability and performance in challenging objective functions.

In this paper a new connection between the discrete conformal geometry problem of disk pattern construction and the continuous conformal geometry problem of metric uniformization is presented. In a nutshell, we discuss how to construct disk patterns by optimizing an objective function, which turns out to be intimately …

2000-10-31abs ↗pdf ↗

This paper studies continuum-armed bandits under Besov smoothness conditions and derives minimax rates.

problem Optimizing an unknown function with limited evaluations.
method Studies continuum-armed bandits under Besov smoothness conditions and derives minimax rates.
result Minimax rates over Besov spaces are identical to those over the smallest Hölder space into which Besov spaces embed.

New approach categorizes objective functions for embodied agents.

problem Understanding how objectives relate to each other and discovering new objectives.
method Introducing Action Perception Divergence (APD) to categorize objective functions.
result Introduces a spectrum of objectives from narrow to general, explaining various unsupervised objectives.

Regularized empirical risk minimization with constrained labels (in contrast to fixed labels) is a remarkably general abstraction of learning. For common loss and regularization functions, this optimization problem assumes the form of a mixed integer program (MIP) whose objective function is non-convex. In this form, t…

2016-02-22abs ↗pdf ↗

We present PESMO, a Bayesian method for identifying the Pareto set of multi-objective optimization problems, when the functions are expensive to evaluate. The central idea of PESMO is to choose evaluation points so as to maximally reduce the entropy of the posterior distribution over the Pareto set. Critically, the PES…

2015-11-17abs ↗pdf ↗

Classifies spherical objects filled with water or air using acoustic echoes and Form Function.

problem Automatic recognition of spherical objects based on acoustic echoes.
method Form Function analysis of wideband sonar data, fed into a Multilayer Perceptron (MLP) classifier.
result Performance of the MLP classifier compared to SVM, highlighting the effectiveness of Form Function.

Similarity measure for Gaussian process predictive distributions.

problem Comparing predictive distributions of Gaussian processes for correlated functions.
method Developed a similarity metric to compare predictive distributions of Gaussian processes.
result Gaussian process predictive distributions can be compared and one is enough to model two correlated functions.

Human computation or crowdsourcing involves joint inference of the ground-truth-answers and the worker-abilities by optimizing an objective function, for instance, by maximizing the data likelihood based on an assumed underlying model. A variety of methods have been proposed in the literature to address this inference …

2014-11-21abs ↗pdf ↗

Improved convergence speed of principal component analysis through modified learning rules.

problem Slow convergence for covariance matrices with close eigenvalues.
method Introduced an additional term to the objective function to mitigate convergence issues.
result Significantly improved convergence speed confirmed through simulations.

MOBO-OSD optimizes multi-objective functions using orthogonal search directions.

problem Challenging multi-objective optimization problem.
method Solves multiple constrained optimization problems along orthogonal search directions.
result Consistently outperforms state-of-the-art algorithms.

Many real-world applications are characterized by a number of conflicting performance measures. As optimizing in a multi-objective setting leads to a set of non-dominated solutions, a preference function is required for selecting the solution with the appropriate trade-off between the objectives. The question is: how g…

2017-01-04abs ↗pdf ↗

Object ranking is an important problem in the realm of preference learning. On the basis of training data in the form of a set of rankings of objects, which are typically represented as feature vectors, the goal is to learn a ranking function that predicts a linear order of any new set of objects. Current approaches co…

2018-03-15abs ↗pdf ↗

New tensor kernels reduce mismatch between clustering and reconstruction objectives in deep learning.

problem Objective Function Mismatch in deep clustering.
method Proposed Unsupervised Companion Objectives (UCOs) with tensor kernels to address mismatch.
result Reduced OFM between clustering and reconstruction objectives, leading to improved clustering performance.

Meta-model framework improves efficiency in parameter estimation of dynamical systems.

problem Efficiently estimating parameters of complex dynamical systems with computationally expensive objective functions.
method Dynamic adaptation of surrogate model and substitution strategy using a meta-model framework.
result Significant improvement in optimization efficiency, reducing evaluations by up to 77%.

Given only information in the form of similarity triplets "Object A is more similar to object B than to object C" about a data set, we propose two ways of defining a kernel function on the data set. While previous approaches construct a low-dimensional Euclidean embedding of the data set that reflects the given similar…

2016-07-28abs ↗pdf ↗

Bayesian optimization (BO) is a widely-used method for optimizing expensive (to evaluate) problems. At the core of most BO methods is the modeling of the objective function using a Gaussian Process (GP) whose covariance is selected from a set of standard covariance functions. From a weight-space view, this models the o…

2018-05-21abs ↗pdf ↗

MWGraD solves multi-objective distributional optimization using particle-based gradient descent.

problem Simultaneously minimize multiple objective functionals over probability distributions.
method Iterative particle-based algorithm MWGraD, estimating and aggregating Wasserstein gradients.
result Demonstrates effectiveness on synthetic and real-world datasets.

A novel Bayesian optimization framework tackles multi-objective constrained problems.

problem Multi-objective optimization with constraints in engineering design.
method srMO-BO-3GP framework using three stacked Gaussian processes.
result Demonstrated effectiveness on benchmark functions and real thermomechanical model.

This paper calculates the exact probability distribution of hypervolume improvement for bi-objective problems.

problem Calculating the exact probability distribution of hypervolume improvement in bi-objective problems.
method Cell partition-based method to derive the probability distribution of hypervolume improvement from a bi-variate Gaussian random variable.
result The proposed ε\varepsilon-PoHVI acquisition function outperforms other related functions in Bayesian optimization.

Bayesian optimization with preference learning identifies preferred solutions in multi-objective problems.

problem Optimizing multiple criteria with decision maker preferences in expensive functions.
method Bayesian optimization with interactive preference learning and active acquisition function.
result Identifies the most preferred solution with reduced interaction cost.

We present a multi-objective Bayesian optimisation algorithm that allows the user to express preference-order constraints on the objectives of the type "objective A is more important than objective B". These preferences are defined based on the stability of the obtained solutions with respect to preferred objective fun…

2019-02-12abs ↗pdf ↗

We consider the problem of learning object arrangements in a 3D scene. The key idea here is to learn how objects relate to human poses based on their affordances, ease of use and reachability. In contrast to modeling object-object relationships, modeling human-object relationships scales linearly in the number of objec…

2012-06-27abs ↗pdf ↗

New objective reduces bias and variance in reinforcement learning derivatives.

problem Estimating derivatives in reinforcement learning with unknown dynamics.
method Derives an objective function compatible with any advantage estimators, allowing trade-off between bias and variance.
result Demonstrates effectiveness in both theoretical and practical settings.