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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.

168,695 papers · 148 categories

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4080120160 · Jun 202019922001200920172026
48 results for cumulative constraints

Optimistic algorithm reduces regret and constraint violations in online convex optimization with adversarial constraints.

problem Online convex optimization with adversarial constraints.
method Improved algorithm using accurate predictions of loss and constraint functions.
result Improved bounds on regret and cumulative constraint violations.

Paper tackles constrained bandit problems with a new learning framework.

problem Optimizing a black-box reward function subject to a black-box constraint function over a continuous space.
method Rectified Pessimistic-Optimistic Learning (RPOL) framework, incorporating optimistic and pessimistic GP bandit learning.
result RPOL achieves sublinear regret and minimal cumulative constraint violation.

Paper tackles online DR-submodular maximization with stochastic constraints.

problem Maximizing utility while adhering to a cumulative resource constraint in an online setting.
method Proposes OLFW algorithm to solve the problem of online continuous DR-submodular maximization with linear stochastic constraints.
result Obtains sub-linear regret and constraint violation bounds.

The paper calculates bounds for risk metrics and entropies under partial information constraints.

problem Analyzing risk metrics and entropies for unimodal, symmetric distributions with limited information.
method Develops lower and upper bounds for worst-case distortion riskmetrics and weighted entropy for unimodal, symmetric distributions with known mean and variance.
result Sharp upper bounds for distortion riskmetrics and weighted entropy for symmetric distributions.

In this work we consider adversarial contextual bandits with risk constraints. At each round, nature prepares a context, a cost for each arm, and additionally a risk for each arm. The learner leverages the context to pull an arm and then receives the corresponding cost and risk associated with the pulled arm. In additi…

2016-10-17abs ↗pdf ↗

In this paper, we study reinforcement learning (RL) algorithms to solve real-world decision problems with the objective of maximizing the long-term reward as well as satisfying cumulative constraints. We propose a novel first-order policy optimization method, Interior-point Policy Optimization (IPO), which augments the…

2019-10-21abs ↗pdf ↗

New algorithms for efficient causal interventions with budget constraints and without constraints.

problem Efficiently learning best interventions in causal graphs with budget constraints.
method Developed algorithms for both budgeted and non-budgeted causal bandits, optimizing regret and side-information usage.
result Proposed algorithms minimize cumulative regret and perform better than standard methods.

New algorithm reduces constraint violation to O(T1/3)O(T^{1/3}) while maintaining O(T)O(\sqrt{T}) regret.

problem Minimizing static regret and cumulative constraint violation in constrained online convex optimization.
method Proposes an algorithm that achieves O(T)O(\sqrt{T}) regret and O(T1/3)O(T^{1/3}) cumulative constraint violation.
result Shows that O(T1/3)O(T^{1/3}) cumulative constraint violation is achievable with O(T)O(\sqrt{T}) regret.

Controller-Augmented Hidden Markov Models (CHMMs) are a framework for constrained sequential inference.

problem Hidden Markov models fail under pathwise constraints like precedence, visitation, or monotonic state progression.
method CHMMs compile constraints into finite-state controllers, then use standard forward-backward and Viterbi recursions to compute exact constrained posteriors and paths.
result CHMMs provide exact constrained inference, monotone ascent in constrained EM, and linear complexity in controller cardinality.

In this article, inspired by Shi, et al. we investigate the optimal portfolio selection with one risk-free asset and one risky asset in a multiple period setting under cumulative prospect theory (CPT). Compared with their study, our novelty is that we consider a stochastic benchmark, and portfolio constraints. We test …

2016-08-30abs ↗pdf ↗

A novel approach for safe offline RL using latent safety constraints.

problem Balancing safety constraints and reward maximization in offline RL.
method Conditional Variational Autoencoders for latent safety modeling, Constrained Reward-Return Maximization.
result Our approach maintains safety compliance while optimizing rewards, outperforming existing methods.

New method calibrates classifier probabilities with guaranteed coverage.

problem Inaccurate probability estimates by classifiers in high-risk applications.
method Adaptive temperature scaling algorithm for conformal prediction.
result Improves calibration error measures and standard metrics across various tasks.

New framework finds periodic policies in reset-free MDPs with sublinear regret.

problem Reset-free reinforcement learning with unknown dynamics and terminal law constraints.
method Periodic framework, periodic policies, periodic regret.
result First non-asymptotic guarantees for reset-free learning in multi-agent settings.

New method reduces total cost constraints in CBwK to sqrt(T) with fairness application.

problem Maximize rewards while adhering to total cost constraints in CBwK.
method Dual strategy based on projected-gradient-descent updates.
result Total cost constraints reduced to sqrt(T) with poly-logarithmic terms.

New approach tackles resource constraints in bandit problems with weakly adaptive algorithms.

problem Maximizing rewards while adhering to general long-term constraints.
method Weakly adaptive primal and dual regret minimizers.
result Achieves sublinear constraints violations and competitive ratios in both stochastic and adversarial settings.

The objective in a traditional reinforcement learning (RL) problem is to find a policy that optimizes the expected value of a performance metric such as the infinite-horizon cumulative discounted or long-run average cost/reward. In practice, optimizing the expected value alone may not be satisfactory, in that it may be…

2018-10-22abs ↗pdf ↗

SEEDA optimizes dose allocation in clinical trials to balance efficacy and safety.

problem Complex relationships between efficacy and toxicity in new drug trials.
method Adaptive clinical trial methodology that maximizes cumulative efficacy while ensuring safety constraints.
result SEEDA outperforms existing methods in finding optimal doses with higher success rates and fewer patients.

We treat a fairly broad class of financial models which includes markets with proportional transaction costs. We consider an investor with cumulative prospect theory preferences and a non-negativity constraint on portfolio wealth. The existence of an optimal strategy is shown in this context in a class of generalized s…

2019-03-19abs ↗pdf ↗

PDCA algorithm learns policies for RL with constraints using a primal-dual approach.

problem Offline constrained reinforcement learning with general function approximation.
method Primal-Dual-Critic Algorithm (PDCA) using a primal-dual approach.
result PDCA finds a near saddle point of the Lagrangian, nearly optimal for constrained RL.

New algorithm optimizes online network resource allocation with long-term constraints.

problem Optimal resource reservation in communication networks with job transfers and budget limits.
method Randomized exponentially weighted method for long-term constraints.
result Upper bound for regret and cumulative constraint violations established.

This paper optimizes multi-channel sequential advertising to maximize cumulative revenue.

problem Maximizing cumulative revenue in multi-channel sequential advertising under a budget constraint.
method Formulated as a dynamic knapsack problem, proposed a bilevel optimization framework with action space reduction.
result Significantly improved cumulative revenue compared to state-of-the-art baselines.

Algorithm maximizes user rewards under per-item budget constraints.

problem Maximizing cumulative rewards in collaborative bandits with budget constraints.
method Collaborative algorithm B-LATTICE that clusters users and collaborates across groups.
result Achieves sub-linear regret bounds matching minimax bounds.

The paper optimizes stock portfolios with constraints based on performance attribution.

problem Optimizing stock portfolios with performance attribution constraints.
method Minimizes expected tail loss, constrains asset allocation and selection effect, tests on Dow Jones stocks.
result Imposing constraints on asset allocation and selection effect improves portfolio performance.

Optimal dividend strategy with irreversible reinsurance constraints.

problem Maximizing dividends while adhering to ratcheting and irreversible reinsurance constraints.
method Modeling dividend and reinsurance levels as nondecreasing processes, solving Hamilton-Jacobi-Bellman equation.
result Threshold strategy is optimal for maximizing discounted dividends until ruin.

Optimal bounds on regret and constraint violation in adversarial COCO.

problem Minimizing regret and cumulative constraint violation in adversarial COCO.
method New surrogate loss function and Follow-the-Regularized-Leader/Online Gradient Descent.
result Achieved optimal O(T)O(\sqrt{T}) bounds on both regret and cumulative constraint violation.

FISAR uses neural networks to optimize safe reinforcement learning with forward-invariant constraints.

problem Safe reinforcement learning with constraints in safety-critical environments.
method Imposing linear constraints on policy parameters' updating dynamics, using a DNN-based optimizer to satisfy these constraints.
result The policy decreases constraint violation and maximizes cumulative reward monotonically.

New algorithms for constrained online optimization with memory and predictions.

problem Control of constrained dynamical systems and scheduling with reconfiguration budgets.
method Proposed algorithms achieving sublinear regret and constraint violation under time-varying constraints, both with and without predictions.
result First algorithms achieving sublinear regret and constraint violation in constrained online optimization with memory.

Improved COCO algorithms with better constraint control.

problem Achieving small regret and constraint violation in online convex optimization.
method Simple projection-based algorithm leveraging self-contraction geometry.
result Exponential improvement in cumulative constraint violation for strongly convex losses.

This paper studies the optimal dividend problem with capital injection under the constraint that the cumulative dividend strategy is absolutely continuous. We consider an open problem of the general spectrally negative case and derive the optimal solution explicitly using the fluctuation identities of the refracted-ref…

2017-09-19abs ↗pdf ↗

A new model uses neural networks to efficiently learn multivariate temporal point processes.

problem Efficiently modeling multivariate temporal point processes with low parameter complexity.
method Modeling the cumulative hazard function with neural networks for each variate.
result The proposed model achieves state-of-the-art performance on data fitting and event prediction tasks.

Novel method for efficient optimization of noisy, expensive hybrid models.

problem Efficient optimization of hybrid models with noisy observations and constraints.
method Constrained Upper Quantile Bound (CUQB) method exploiting composite structure.
result Significantly improved sampling efficiency and theoretical guarantees.

A decentralized algorithm minimizes cumulative regret in stochastic linear bandits with safety constraints.

problem Efficiently solving a linear bandit-optimization problem over a network of agents with safety constraints.
method DLUCB: a fully decentralized algorithm that minimizes cumulative regret through UCB strategy and consensus procedure.
result Near-optimal regret performance of O(dlogNTNT)\mathcal{O}(d\log{NT}\sqrt{NT}) with O(dN2)\mathcal{O}(dN^2) communication rate.

Optimal bidding strategy for multi-platform ad auctions under budget constraints.

problem Optimizing ad placements for budget-constrained advertisers across multiple platforms.
method Developed an optimal bidding strategy for non-incentive-compatible auctions with budget constraints.
result Maximized total utility across auctions while satisfying budget constraints in expectation.

Geometric analysis of ROC and PR curves for binary classification.

problem Understanding classifier behavior and selection of optimal operating points.
method Geometric perspective on ROC and PR curves, focusing on the composition function GG.
result Many binary classification metrics are functions of G=FpFn1G = F_p \circ F_n^{-1}, facilitating better classifier optimization.

New algorithm reduces regret and constraint violation in online convex optimization with complex constraints.

problem Online convex optimization with multiple functional constraints and a simple constraint set.
method Instance-dependent bound using online primal-dual mirror-prox algorithm in general normed spaces.
result Achieves an O(√V*(T)) regret and O(1) constraint violation, improving over previous works.