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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.

168,878 papers · 148 categories

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3672108144 · Jun 202019922001200920172026
48 results for cannot-link constraints

S3C2 uses Siamese networks for semi-supervised clustering with pairwise constraints.

problem Semi-supervised clustering with pairwise constraints.
method S3C2 decomposes SSC into two classification tasks: first, using Siamese networks to label unlabeled pairs; second, using the labeled dataset for clustering.
result S3C2 outperforms existing SSC methods on various datasets.

Constrained clustering has been well-studied for algorithms such as KK-means and hierarchical clustering. However, how to satisfy many constraints in these algorithmic settings has been shown to be intractable. One alternative to encode many constraints is to use spectral clustering, which remains a developing area. I…

2012-01-25abs ↗pdf ↗

An important form of prior information in clustering comes in form of cannot-link and must-link constraints. We present a generalization of the popular spectral clustering technique which integrates such constraints. Motivated by the recently proposed 11-spectral clustering for the unconstrained problem, our method is…

2015-05-24abs ↗pdf ↗

Proposes methods to find alternative blockmodels in networks.

problem Discover secondary blockmodel representations of networks that are dissimilar to a given blockmodel.
method Incorporates non-negative matrix factorisation (NMF) with inclusion of cannot-link constraints and dissimilarity between image matrices.
result Validated the effectiveness of the proposed methods in discovering alternative blockmodels.

We consider the problem of metric learning subject to a set of constraints on relative-distance comparisons between the data items. Such constraints are meant to reflect side-information that is not expressed directly in the feature vectors of the data items. The relative-distance constraints used in this work are part…

2016-12-01abs ↗pdf ↗

Semi-supervised clustering aims to introduce prior knowledge in the decision process of a clustering algorithm. In this paper, we propose a novel semi-supervised clustering algorithm based on the information-maximization principle. The proposed method is an extension of a previous unsupervised information-maximization …

2013-04-30abs ↗pdf ↗

Unified clustering model handles both pairwise and cardinality constraints for better performance.

problem Clustering with specific constraints (pairwise and cardinality) to improve clustering quality.
method Unified integer programming formulation, binary and quadratic constraints, reformulated as continuous constraints, solved using ADMM.
result Unified model outperforms single category constraints and achieves better clustering performance.

Proposes a method to improve hierarchical clustering using set-level structural priors.

problem Lack of supervision for non-leaf structure in hierarchical clustering.
method Introduces set-level structural priors for semi-supervised hyperbolic hierarchical clustering.
result Improves label consistency and similarity-based tree quality over baselines.

Under certain topological assumptions, we show that two monotone Lagrangian submanifolds embedded in the standard symplectic vector space with the same monotonicity constant cannot link one another and that, individually, their smooth knot type is determined entirely by the homotopy theoretic data which classifies the …

2012-11-28abs ↗pdf ↗

This work proposes an online learning approach to tighten constraints in stochastic control problems.

problem Solving chance-constrained stochastic optimal control problems is computationally challenging.
method Reformulate chance constraints as a binary regression problem and use a GP model to learn constraint-tightening parameters online.
result The approach tightens constraints more effectively, leading to lower costs in numerical experiments.

Reduces Lie (bi-)algebroids and Dirac manifolds using constraint vector bundles.

problem Reduction of Lie (bi-)algebroids and Dirac manifolds.
method Introduces constraint manifolds and constraint vector bundles; proves constraint Serre-Swan theorem; introduces Cartan calculus for constraint forms and multivector fields; shows compatibility with reduction.
result Reduction procedure for Lie (bi-)algebroids and Dirac manifolds.

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.

This paper considers online convex optimization over a complicated constraint set, which typically consists of multiple functional constraints and a set constraint. The conventional online projection algorithm (Zinkevich, 2003) can be difficult to implement due to the potentially high computation complexity of the proj…

2016-04-08abs ↗pdf ↗

We provide a dynamic programming principle for stochastic optimal control problems with expectation constraints. A weak formulation, using test functions and a probabilistic relaxation of the constraint, avoids restrictions related to a measurable selection but still implies the Hamilton-Jacobi-Bellman equation in the …

2011-05-04abs ↗pdf ↗

Iterative method learns unknown constraints for MPC control.

problem Learning to satisfy unknown polyhedral state constraints in iterative MPC.
method Collects and improves estimates of unknown constraints using collected data, designs an MPC controller to satisfy the estimated constraints.
result Robust and probabilistic guarantees of constraint satisfaction as a function of task iterations.

We reformulate data-dependent constraints to ensure they are always met with high probability.

problem Ensuring fairness and stability in machine learning models with data-dependent constraints.
method Calibrated reformulation of constraints to guarantee satisfaction with a specified probability.
result Our method guarantees that fairness constraints are met at test time with high probability.

Physics-constrained GANs generate samples that meet deterministic constraints.

problem Ensuring GAN-generated samples comply with physical constraints.
method Enforce deterministic constraints via modified loss function.
result Physics-constrained GANs produce samples that accurately meet underlying constraints.

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.

The paper explores how to learn models that respect constraints in probabilistic learning.

problem Learning models that respect declared constraints in probabilistic learning.
method Mathematical inquiry on tractable probabilistic models like sum-product networks.
result Determines conditions under which constraints can be integrated with model learning.

Algorithm ensures privacy while strictly adhering to constraints.

problem Differential privacy with linear constraints that must be strictly followed.
method Developed an algorithm that releases a nearly-optimal solution satisfying constraints with probability 1.
result Achieved nearly optimal performance while preserving privacy and strictly adhering to constraints.

Geometrically characterizes virtual nonlinear nonholonomic constraints using symplectic methods.

problem Characterizing virtual nonlinear nonholonomic constraints geometrically.
method Geometric characterization using symplectic structures and Chetaev equations.
result A unique control law exists to satisfy virtual constraints, and closed-loop dynamics are projections of uncontrolled dynamics.

The paper improves Gaussian processes by adding sum constraints, enhancing prediction accuracy.

problem Improving Gaussian process predictions with background knowledge constraints.
method Conditioning the prior distribution on sum constraints to ensure fulfillment of linear and nonlinear constraints.
result The approach fulfills constraints with high precision and improves prediction accuracy.

The paper introduces MU for NMF with ββ-divergences and disjoint constraints.

problem Nonnegative matrix factorization with constraints.
method Design multiplicative updates for NMF based on ββ-divergences with disjoint constraints.
result Multiplicative updates satisfy constraints and decrease the objective function.

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.

Solves Einstein constraint equations on compact manifolds with specified boundaries.

problem Solving Einstein constraint equations with specified boundaries.
method Studies conformal constraint equations with low regularity assumptions.
result Solves Einstein constraint equations on compact manifolds with specified boundaries.

Algorithm finds real line mapping from points under ordinal constraints.

problem Finding a mapping from points to real line under ordinal constraints.
method Approximation algorithm for dense case in O(n7)+(1/ε)O(1/ε1/8)nO(n^7) + (1/\varepsilon)^{O(1/\varepsilon^{1/8})} n time.
result Computes a solution satisfying (1O(ε1/8))(1-O(\varepsilon^{1/8}))-fraction of all constraints.

HardCoRe-NAS finds fitting neural networks adhering to hard resource constraints.

problem Finding fitting neural networks that adhere to hard resource constraints.
method Accurate formulation of resource requirement and scalable search method.
result HardCoRe-NAS generates state-of-the-art architectures strictly satisfying hard resource constraints.

Formal constraints improve RL safety in complex environments.

problem Safety constraints in reinforcement learning for complex environments.
method Specify constraints in formal languages, instantiate as finite automata, augment MDP states, learn dense cost function.
result Improved safety in training RL algorithms over various constraints.

Study optimizes portfolio allocation policies using off-policy data and constraints.

problem Optimizing portfolio allocation policies under constraints using off-policy data.
method Solves a minimax objective with off-policy estimators and online learning to control constraint violations.
result Constructs near-optimal allocation policies for various regimes of operation and constraints.

Unified approach adjusts classifiers to meet system-level constraints.

problem Multi-class classification under system-level constraints.
method Post-processing approach using linearly constrained stochastic program and entropic regularization.
result Finite-sample guarantees for risk and constraint satisfaction.

CoCoRL learns safe constraints from demonstrations with unknown rewards.

problem Learning safe constraints from demonstrations with different unknown rewards.
method Convex Constraint Learning for Reinforcement Learning (CoCoRL) constructs a convex safe set based on demonstrations.
result CoCoRL learns constraints that lead to safe driving behavior and can safely transfer to different tasks and environments.