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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.

169,051 papers · 148 categories

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3876113151 · Jun 202019922001200920182026
48 results for unconstrained maximization

Paper proposes DG-ETC for online submodular maximization with stochastic bandit feedback.

problem Online unconstrained submodular maximization with stochastic bandit feedback.
method Double-Greedy - Explore-then-Commit (DG-ETC) approach.
result DG-ETC achieves logarithmic regret O(dlog(dT))O(d\log(dT)) for 1/21/2-approximate pseudo-regret.

Solves VaR-constrained portfolio optimization in markets with stochastic volatility.

problem Optimizing portfolio in markets with stochastic volatility under VaR constraints.
method Dynamic programming approach to Heston's stochastic volatility model.
result Optimal investment strategy linked to unconstrained problem via a vega-neutral derivative.

An optimal algorithm maximizes submodular functions online with no-1/2 regret.

problem Maximizing submodular functions in an online setting with limited information.
method Polynomial-time no-1/2-regret algorithm for online unconstrained submodular maximization.
result Achieves 1/2 times the maximum total value of a fixed subset in hindsight, up to a sublinear error term.

Study optimal portfolio management with periodic evaluations in stochastic models, considering convex constraints.

problem Optimal portfolio management under ratio-type periodic evaluations in stochastic factor models with convex trading constraints.
method Transformed infinite horizon optimal control problem into an auxiliary terminal wealth optimization problem. Introduced an auxiliary unconstrained optimization problem in a modified market model. Used martingale duality approach to establish dual minimizer and optimal unconstrained wealth process.
result Derived and verified the optimal constrained portfolio process for the original problem over an infinite horizon.

We investigate the ergodic problem of growth-rate maximization under a class of risk constraints in the context of incomplete, Itô-process models of financial markets with random ergodic coefficients. Including {\em value-at-risk} (VaR), {\em tail-value-at-risk} (TVaR), and {\em limited expected loss} (LEL), these cons…

2007-06-04abs ↗pdf ↗

Study uses RL to optimize investment with financial constraints, showing exploration benefits.

problem Optimal investment with financial constraints in continuous time.
method Reinforcement learning framework, focusing on Gaussian and truncated Gaussian distributions.
result Exploration leads to more dispersed wealth distribution with heavier tails, especially with smaller exploration parameters.

In Bipartite Correlation Clustering (BCC) we are given a complete bipartite graph GG with `+' and `-' edges, and we seek a vertex clustering that maximizes the number of agreements: the number of all `+' edges within clusters plus all `-' edges cut across clusters. BCC is known to be NP-hard. We present a novel approx…

2016-03-09abs ↗pdf ↗

The study connects fairness constraints with optimal transport to derive new insights in classification.

problem Ensuring fairness in classification models without sacrificing performance.
method Using Wasserstein barycenters and optimal transport, the study characterizes optimal classification functions under fairness constraints.
result Maximizing fairness under demographic parity is equivalent to solving a regression problem.

The study clarifies fairness guarantees from unconstrained machine learning, showing group calibration is often satisfied but at the cost of other criteria.

problem Fairness guarantees from unconstrained machine learning.
method Characterization and proof of upper and lower bounds on the deviation from group calibration.
result Group calibration is the fairness criterion implicitly favored by unconstrained learning, but it comes at the cost of violating other criteria.

We study Spectral Measures of Risk from the perspective of portfolio optimization. We derive exact results which extend to general Spectral Measures M_phi the Pflug--Rockafellar--Uryasev methodology for the minimization of alpha--Expected Shortfall. The minimization problem of a spectral measure is shown to be equivale…

2002-03-29abs ↗pdf ↗

Unconstrained MLIPs outperform constrained ones in accuracy and speed.

problem Improving the efficiency and accuracy of machine-learned interatomic potentials.
method Investigated unconstrained models trained on large datasets compared to physically constrained models.
result Unconstrained MLIPs can be superior in accuracy and speed compared to physically constrained models.

Pairwise learning usually refers to a learning task which involves a loss function depending on pairs of examples, among which most notable ones include ranking, metric learning and AUC maximization. In this paper, we study an online algorithm for pairwise learning with a least-square loss function in an unconstrained …

2015-02-25abs ↗pdf ↗

New approach reduces unconstrained linear bandits to simpler optimization problems.

problem Unconstrained linear bandits problem.
method Perturbation-based approach combined with comparator-adaptive OLO algorithms.
result First high-probability guarantees for both static and dynamic regret in unconstrained linear bandits.

Study how regularization and optimization affect margin in deep models.

problem Understanding margin maximization in deep learning models.
method Analyze the limit of loss minimization with diverging norm constraints and margin paths.
result Discovers lexicographic max-margin solutions for homogeneous models and shows convergence under certain conditions.

We propose an expectation-maximization-like(EMlike) method to train Boltzmann machine with unconstrained connectivity. It adopts Monte Carlo approximation in the E-step, and replaces the intractable likelihood objective with efficiently computed objectives or directly approximates the gradient of likelihood objective i…

2016-09-07abs ↗pdf ↗

Unconstrained models learn physical symmetries effectively with simple data augmentation.

problem Ensuring physical symmetries in machine learning models.
method Rigorous metrics to measure symmetry content, data augmentation strategy, architectural analysis.
result Unconstrained models can learn approximate equivariant behavior with simple data augmentation.

Proposes ConstraintMatch for semi-supervised clustering with unconstrained data.

problem Leveraging unconstrained data alongside constraints for clustering models.
method Semi-supervised context with pseudo-constraining and pseudo-labeling mechanisms.
result Demonstrates effectiveness of ConstraintMatch over baselines.

Agents cooperate to make decisions in multi-armed bandits over a graph.

problem Optimizing decisions in multi-agent multi-armed bandits with shared information.
method Designs consensus-based distributed estimation and cooperative algorithms for group decision-making.
result Achieves group performance close to centralized fusion center.

The paper explores solving inverse problems for ODEs with and without constraints.

problem Understanding when second order ODEs can represent Lagrangian models with or without constraints.
method Geometric techniques to address the inverse problem for both constrained and unconstrained systems of second order ODEs.
result The constrained case presents more ambiguities and complexities than the unconstrained one.

Study shows equivalence of four risk constraints in non-concave optimization problems.

problem Investigating risk constraints in non-concave optimization for financial companies.
method Analytical solutions for four risk constraints (ES, EDS, VaR, AVaR) under non-concave optimization.
result All four risk constraints lead to the same optimal solution, differing from concave optimization.

This paper extends neural collapse to class-imbalanced datasets using an unconstrained ReLU feature model.

problem Understanding neural collapse in class-imbalanced datasets with cross-entropy loss.
method Generalized neural collapse to class-imbalanced settings using an unconstrained ReLU feature model.
result Class-means converge to orthogonal vectors with different lengths, and classifier weights align to these vectors.

New algorithms reduce online learning regret by tracking gradient variation.

problem Online learning with unconstrained losses and gradient variation.
method Parameter-free algorithms with adaptive updates for LL-smooth convex losses.
result Regret bounds of order O~(uVT(u)+Lu2+G4)\widetilde{O}(\|u\|\sqrt{V_T(u)} + L\|u\|^2+G^4) achieved without prior knowledge of comparator norm or Lipschitz constant.

A new L-BFGS method tackles large-scale optimization with fewer evaluations.

problem Efficiently solving large-scale unconstrained optimization problems.
method Proposes a regularized L-BFGS method with line search techniques.
result Shows global convergence and robust performance in numerical tests.

GOPO optimizes large models in Hilbert space, avoiding Kullback-Leibler's curvature.

problem Optimizing large language models with Kullback-Leibler divergence's curvature issues.
method GOPO uses Hilbert space L2(pi_k) with orthogonality constraints and a work-dissipation functional.
result GOPO achieves competitive generalization with stable gradient dynamics and entropy preservation.

New algorithm minimizes cumulative loss in dynamic linear bandits without prior knowledge of comparator switches.

problem Minimizing cumulative loss in dynamic linear bandits with unknown number of switches.
method Combining several bandit algorithms to adapt to unknown number of switches without prior knowledge.
result First algorithm achieving optimal regret guarantee of O(d(1+ST)T)\mathcal{O}\big(\sqrt{d(1+S_T) T}\big) up to poly-logarithmic terms.

This thesis explores how submodularity aids in optimizing non-convex functions and validating algorithms.

problem Understanding which functions can be optimized efficiently in non-convex settings.
method Introducing continuous submodularity and developing algorithms for maximizing these functions.
result Characterization and optimization of continuous submodular functions with strong guarantees.

New algorithm solves utility maximization with deep learning for constrained problems.

problem Maximizing utility under convex constraints with random coefficients.
method Developed a new algorithm using stochastic maximum principle and deep learning.
result The new algorithm outperforms existing methods in accuracy and applicability.

New algorithms reduce regret in unconstrained online learning with unknown parameters.

problem Online convex optimization with unknown Lipschitz constant and comparison point.
method Developed algorithms with polynomial bounds that adapt to unknown parameters.
result Achieved improved regret bounds with polynomial dependence on all parameters.

Optimizes stock portfolios with a constraint on correlation to reduce risk.

problem Portfolio optimization with a correlation constraint in a stochastic financial market.
method Analytical expressions for constrained subgame perfect and precommitment portfolios.
result CSGP and CPC portfolios yield lower risk than unconstrained portfolios at a small utility cost.

New method uses neural networks to solve PDEs without grid discretization.

problem Solving PDEs with boundary conditions efficiently and accurately.
method Combining neural networks with TFC to transform PDEs into unconstrained optimization problems.
result Deep TFC method provides closed-form, differentiable approximations of PDE solutions.

In most machine learning applications, classification accuracy is not the primary metric of interest. Binary classifiers which face class imbalance are often evaluated by the FβF_β score, area under the precision-recall curve, Precision at K, and more. The maximization of many of these metrics can be expressed as a con…

2018-02-28abs ↗pdf ↗

We propose an online convex optimization algorithm (RescaledExp) that achieves optimal regret in the unconstrained setting without prior knowledge of any bounds on the loss functions. We prove a lower bound showing an exponential separation between the regret of existing algorithms that require a known bound on the los…

2017-03-07abs ↗pdf ↗

Paper proposes a QUBO formulation that reduces binary variables in Bayesian network learning.

problem Reducing the number of binary variables in QUBO formulations for Bayesian network learning.
method Proposes a new QUBO formulation that minimizes binary variables.
result Significantly reduces the number of binary variables required for Bayesian network structure learning.

VAV method optimizes learning rate for faster, stable SGD convergence.

problem Optimizing learning rate for efficient and stable machine learning models.
method Energy-based self-adaptive learning rate with auxiliary variable rr.
result VAV method achieves faster convergence and superior stability with larger learning rates.

We consider a variant of online convex optimization in which both the instances (input vectors) and the comparator (weight vector) are unconstrained. We exploit a natural scale invariance symmetry in our unconstrained setting: the predictions of the optimal comparator are invariant under any linear transformation of th…

2017-08-23abs ↗pdf ↗

Cookbook transforms constrained statistical inference into unconstrained problems.

problem Transforming constrained statistical inference into unconstrained problems.
method Bijective and diffeomorphisms parametrizations.
result Maintains statistical inference properties like identifiability.

DP-GD achieves dimension-independent convergence for unconstrained private GLMs.

problem Differentially private empirical risk minimization for unconstrained GLMs.
method Differentially private gradient descent (DP-GD).
result DP-GD achieves an excess empirical risk of $ ilde O\left(\sqrt{ exttt{rank}}/εn ight)$ for unconstrained GLMs.

TopoFisher learns topological summaries by maximizing Fisher information, improving parameter efficiency and inference quality.

problem Simulation-based inference misses key information in low-order statistics, especially for non-Gaussian fields.
method TopoFisher uses a differentiable persistent-homology pipeline that learns topological summaries by maximizing local Gaussian Fisher information.
result TopoFisher recovers much of the available information and outperforms fixed topological vectorizations in weak gravitational lensing.

We consider the \mnk{classical} problem of a controller activating (or sampling) sequentially from a finite number of N2N \geq 2 populations, specified by unknown distributions. Over some time horizon, at each time n=1,2,n = 1, 2, \ldots, the controller wishes to select a population to sample, with the goal of sampling fro…

2015-10-07abs ↗pdf ↗