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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.

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48 results for knapsacks

Neural networks solve Knapsack problems with provable guarantees.

problem Solving the Knapsack Problem efficiently and with guarantees.
method Recurrent neural networks (RNNs) with rectified linear units applied iteratively to each item.
result An RNN of depth four and width proportional to the profit of an optimum solution finds optimal solutions.

Algorithm tackles constrained reinforcement learning with concave-convex and knapsack constraints.

problem Constrained episodic reinforcement learning with concave rewards and convex constraints.
method Modular analysis with strong theoretical guarantees for concave-convex and knapsack settings.
result Significantly outperforms existing approaches in constrained episodic environments.

Develops a method to tackle high-dimensional linear bandits with knapsacks using online sparse estimation and dual variables.

problem High-dimensional linear bandits with knapsacks.
method Online hard thresholding algorithm for sparse estimation, integrated with primal-dual scheme.
result Achieves sub-linear regret that scales logarithmically with feature dimension, improving on prior work.

We present a new Bitcoin coin selection algorithm, "coin selection with leverage", which aims to improve upon cost savings than that of standard knapsack like approaches. Parameters to the new algorithm are available to be tuned at the users discretion to address other goals of coin selection. Our approach naturally fi…

2019-11-04abs ↗pdf ↗

New algorithm tackles dynamic assortment optimization with knapsack constraints.

problem Optimizing retailer's assortment decisions under resource constraints with multi-nomial choice modeling.
method Epoch-based re-solving algorithm that transforms MNL's fractional structure into a linear program with slack variables.
result Regret scales logarithmically with time horizon and resource capacities.

We consider Bandits with Knapsacks (henceforth, BwK), a general model for multi-armed bandits under supply/budget constraints. In particular, a bandit algorithm needs to solve a well-known knapsack problem: find an optimal packing of items into a limited-size knapsack. The BwK problem is a common generalization of nume…

2018-11-28abs ↗pdf ↗

We present a new approach for studying the problem of optimal hedging of a European option in a finite and complete discrete-time market model. We consider partial hedging strategies that maximize the success probability or minimize the expected shortfall under a cost constraint and show that these problems can be trea…

2009-10-27abs ↗pdf ↗

Quantum algorithms improve regret bounds for bandits with knapsacks.

problem Combining stochastic integer programming and online learning.
method Quantum algorithms for BwK with improved regret and time complexities.
result Quantum algorithms achieve better regret bounds than classical methods.

Optimal algorithm for maximizing rewards in contextual bandits with resource constraints.

problem Maximizing rewards in contextual bandits with resource constraints.
method Proposed a universal and optimal algorithmic framework for CBwK by reducing it to online regression.
result Established the optimality of the proposed algorithm for various function classes.

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.

Paper tackles non-monotonic resource utilization in sequential decision-making.

problem Sequential decision-making under uncertainty with resource constraints.
method Introduces a new MDP policy with constant regret against LP relaxation.
result Develops a learning algorithm with logarithmic regret for unknown outcome distributions.

A new pruning method improves neural network efficiency and accuracy.

problem Optimizing neural network efficiency and accuracy through pruning.
method Formulated as a Knapsack Problem, the method optimizes trade-off between neuron importance and computational cost. Channels are pruned while maintaining network structure, and fine-tuned using inner knowledge distillation from parent network.
result State-of-the-art pruning results on ImageNet, CIFAR-10, and CIFAR-100.

Improves bandits with knapsacks guarantees for partially stochastic workloads.

problem Improves guarantees for Bandits with Knapsacks (BwK) with partially stochastic workloads.
method Defines Approximately Stationary BwK, explores algorithms with smooth competitive ratios transitioning between stochastic and adversarial cases.
result Offers competitive ratios that smoothly transition between the best possible guarantees in stochastic and adversarial cases, especially beneficial when budget is small.

Bandits with Knapsacks (BwK) is a general model for multi-armed bandits under supply/budget constraints. While worst-case regret bounds for BwK are well-understood, we present three results that go beyond the worst-case perspective. First, we provide upper and lower bounds which amount to a full characterization for lo…

2020-02-01abs ↗pdf ↗

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.

Adaptive policies solve a linear program to maximize rewards while minimizing costs in sales with discounts.

problem Maximizing rewards in sales with discounts while considering costs.
method Solves a linear program based on upper-confidence estimates of conversion probabilities.
result Achieves a regret bound of the typical order (OPT/BB) T\sqrt{T}, where B is the total budget allowed.

Study optimal policies under budget and coverage constraints.

problem Optimal policy learning with budget and coverage constraints.
method Combination of knapsack structure, affine threshold rule, linear programming relaxation, Greedy-Lagrangian (GLC), and rank-and-cut (RC) algorithms.
result GLC closely approximates the optimal solution and achieves near-optimal performance in finite samples; RC is approximately optimal under certain conditions.

The paper optimizes A/B tests by balancing lift and cost in large-scale settings.

problem Balancing lift and cost in A/B tests for large-scale experimentation.
method Empirical Bayes approach using a greedy knapsack algorithm to rank experiments based on lift-to-cost ratio, incorporating local false discovery rate (lfdr).
result The proposed method maximizes expected profit while controlling false discovery rate, demonstrating superior performance in large-scale settings.

We consider the linear contextual bandit problem with resource consumption, in addition to reward generation. In each round, the outcome of pulling an arm is a reward as well as a vector of resource consumptions. The expected values of these outcomes depend linearly on the context of that arm. The budget/capacity const…

2015-07-24abs ↗pdf ↗

Paper relaxes set-valued prediction in hierarchical classification by considering representation complexity.

problem Uncertainty in class labels in hierarchical multi-class classification problems.
method Introduces representation complexity for predicted sets, proposes three methods for inference.
result Recursive tree search method is computationally more efficient.

This paper investigates the adversarial Bandits with Knapsack (BwK) online learning problem, where a player repeatedly chooses to perform an action, pays the corresponding cost, and receives a reward associated with the action. The player is constrained by the maximum budget BB that can be spent to perform actions, an…

2018-10-23abs ↗pdf ↗

New framework handles online decisions with replenishable resources, improving both adversarial and stochastic performance.

problem Online decision-making with resource constraints that can be replenished.
method Best-of-both-worlds primal-dual template for online learning problems with replenishment.
result First positive results for adversarial inputs and an instance-independent regret bound for stochastic inputs.

The paper introduces SuccessProbaMax to optimize policy success probability in online advertising.

problem Optimizing policy success probability in online advertising systems.
method SuccessProbaMax algorithm that optimizes for the probability of success rather than expected value.
result SuccessProbaMax outperforms conventional algorithms in terms of success rate.

Neural Index Policy for multi-action bandits with heterogeneous budgets.

problem Real-world settings often involve multiple interventions with heterogeneous costs and constraints, breaking classical assumptions.
method Introduces a Neural Index Policy (NIP) that learns to assign budget-aware indices to arm-action pairs using a neural network and differentiable knapsack layer.
result Empirically achieves near-optimal performance while strictly enforcing heterogeneous budgets and scaling to hundreds of arms.

Dynamic promotion optimization for e-commerce platforms within financial constraints.

problem Balancing promotional costs with incremental revenue for sustainable growth.
method Knapsack Problem formulation for dynamic optimization, Retrospective Estimation, online-dynamic calibration.
result Significant increase in target outcome while staying within financial constraints.

This paper optimizes ad bids and daily budgets for multiple campaigns in pay-per-click advertising.

problem Optimizing ad bids and daily budgets for multiple campaigns in pay-per-click advertising.
method Formulated as a combinatorial semi-bandit problem, solved using Gaussian Processes and four algorithms.
result Regret upper bounded as O(sqrt{T}), where T is the time horizon.

The typical algorithmic problem in viral marketing aims to identify a set of influential users in a social network, who, when convinced to adopt a product, shall influence other users in the network and trigger a large cascade of adoptions. However, the host (the owner of an online social platform) often faces more con…

2013-12-08abs ↗pdf ↗

This paper presents a framework to tackle combinatorial optimization problems using neural networks and reinforcement learning. We focus on the traveling salesman problem (TSP) and train a recurrent network that, given a set of city coordinates, predicts a distribution over different city permutations. Using negative t…

2016-11-29abs ↗pdf ↗

In this paper, we introduce a novel technique for constrained submodular maximization, inspired by barrier functions in continuous optimization. This connection not only improves the running time for constrained submodular maximization but also provides the state of the art guarantee. More precisely, for maximizing a m…

2020-02-10abs ↗pdf ↗

Unified framework for combinatorial and rounding algorithms in experimental design.

problem Designing and analyzing combinatorial and rounding algorithms for experimental design problems.
method Local search framework for combinatorial algorithms and regret minimization framework for rounding algorithms.
result Unified approach to match and improve all known results in D/A/E-design and obtain new results in unknown settings.

FMDP-BF algorithm improves RL in factored MDPs with exponential regret reduction.

problem Efficient reinforcement learning in factored MDPs with constrained RL.
method FMDP-BF algorithm leveraging factorization structure of FMDPs.
result FMDP-BF's regret is exponentially smaller than optimal algorithms for non-factored MDPs.

In recent years, RTB(Real Time Bidding) becomes a popular online advertisement trading method. During the auction, each DSP(Demand Side Platform) is supposed to evaluate current opportunity and respond with an ad and corresponding bid price. It's essential for DSP to find an optimal ad selection and bid price determina…

2017-05-26abs ↗pdf ↗

New model enhances SPIM for solving low-rank combinatorial optimization and statistical learning problems.

problem Solving large-scale combinatorial optimization problems efficiently.
method Proposed a new computing model for SPIM that can handle low-rank interaction matrices.
result Demonstrated efficient learning, classification, and sampling of MNIST images using the model.

New loss function handles uncertain constraints in CSLO problems.

problem Handling uncertain inequality constraints in CSLO with machine learning predictions.
method Introduces SPO-RC loss and SPO-RC+ surrogate, trains on truncated datasets, corrects bias.
result SPO-RC+ effectively manages constraint uncertainty and improves performance.

In this paper, we investigate the possibility of improving the performance of multi-objective optimization solution approaches using machine learning techniques. Specifically, we focus on multi-objective binary linear programs and employ one of the most effective and recently developed criterion space search algorithms…

2019-01-30abs ↗pdf ↗