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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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48 results for Soft Constraints

HyperFair integrates fairness in recommender systems using probabilistic soft logic.

problem Ensuring fairness in recommender systems across diverse domains.
method Soft fairness constraints integrated as regularization in a joint inference objective function.
result HyperFair improves fairness of predictions from black-box models and hybrid systems.

LightGCNet simplifies AI for soft sensors, reducing complexity and training time.

problem Complex and resource-intensive deep learning models for soft sensors.
method LightGCNet uses compact angle constraints and node pool strategy for efficient learning.
result LightGCNet achieves small network size, fast learning, and good generalization.

Framework learns stochastic dynamics from endpoint and intermediate distributions using soft energy constraints.

problem Learning stochastic dynamics from endpoint and intermediate distributional observations.
method Formulates generation as a McKean-Vlasov control problem with soft energy constraints, solving it through FBSDE.
result Model learns coherent stochastic trajectories matching prescribed marginal laws.

Generative AI connects to Schrödinger bridge problems with soft constraints for stability.

problem Stability issues in generative AI due to hard terminal constraints.
method Soft-constrained Schrödinger bridge formulation and convergence analysis.
result Existence and convergence of optimal solutions as penalty grows.

Soft-Radial Projection solves gradient saturation in constrained deep learning.

problem Gradient saturation in deep learning models when integrating hard constraints.
method Introduces Soft-Radial Projection, a differentiable layer that maps predictions onto constraint boundaries without rank-deficient Jacobians.
result Improves convergence and solution quality over state-of-the-art methods.

New method combines gradient optimization with constraint-based techniques for causal discovery.

problem Causal discovery from observational data, especially with small sample sizes.
method Differentiable dd-separation scores using percolation theory and soft logic for gradient-based optimization of conditional independence constraints.
result Empirical evaluations show robust performance in low-sample regimes, surpassing traditional methods.

Adversarial MoE learns category-specific models for product search.

problem Variations in product features and importance across categories.
method Mixture of Experts with adversarial regularization and soft gating constraints.
result Improved clustering of gate output vectors and shared experts among similar categories.

Automatically learns flexible symmetry constraints in neural networks using gradients.

problem Fixed hard constraints on neural network functions that cannot be adapted.
method Improves parameterisations of soft equivariance and optimizes marginal likelihood using differentiable Laplace approximations.
result Achieves equivalent or improved performance on image classification tasks compared to baselines with hard-coded symmetry.

Paper proposes a new sparse group k-max regularization for sparsity constraints.

problem Linear inverse problems with sparsity constraints are NP-hard.
method Sparse group k-max regularization, iterative soft thresholding algorithm.
result Approximates l0 norm more closely and enhances group-wise and in-group sparsity.

Optimal control problems on Riemannian manifolds are solved by penalizing constraint violations.

problem Optimal control problems with velocity constraints on Riemannian manifolds.
method Penalizing constraint violations and showing convergence to hard-constrained solutions.
result Solutions to soft-constrained problems converge to solutions of hard-constrained problems as penalty parameter increases.

FedSGM tackles constrained federated learning with unified framework.

problem Functional constraints, communication bottlenecks, local updates, and partial client participation in federated learning.
method Unified framework based on switching gradient method, incorporating bi-directional error feedback, and soft switching for stability.
result Achieves O(1/T)\boldsymbol{\mathcal{O}}(1/\sqrt{T}) convergence rate with high-probability bounds decoupling from sampling noise.

Soft-constrained PINN solves ODEs with minimal data, improving efficiency and robustness.

problem Sparse and noisy data in experiments and simulations.
method Soft-constrained Physics-informed Neural Network (PINN) with minimal labeled data.
result Soft-constrained PINN reduces need for labeled data and achieves strong generalization.

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 ↗

In this work, we introduce a deep learning-based polar code construction algorithm. The core idea is to represent the information/frozen bit indices of a polar code as a binary vector which can be interpreted as trainable weights of a neural network (NN). For this, we demonstrate how this binary vector can be relaxed t…

2019-09-26abs ↗pdf ↗

We introduce a novel generative formulation of deep probabilistic models implementing "soft" constraints on their function dynamics. In particular, we develop a flexible methodological framework where the modeled functions and derivatives of a given order are subject to inequality or equality constraints. We then chara…

2018-02-15abs ↗pdf ↗

New approach to control diffusion processes with soft constraints.

problem Finding an optimal diffusion process with a target terminal distribution.
method Generalized Schrödinger bridge problem with soft constraints, solving for a geometric mixture of target and other distributions.
result The terminal distribution of the optimally controlled process is a geometric mixture of the target and another distribution.

Deep learning models reconstruct volatility surfaces from noisy data under no-arbitrage constraints.

problem Reconstructing implied volatility surfaces from sparse and noisy option quotes.
method Compared multiple neural architectures including Transformers, U-Nets, and variational autoencoders.
result Transformer and U-Net architectures achieve strong reconstruction accuracy, especially under sparse observation regimes.

Study statistical guarantees for DRO with OT and OT-regularized divergences.

problem Enhancing adversarial robustness in machine learning models.
method Derive concentration inequalities for supervised learning via DRO-based adversarial training.
result First to cover soft-constraint costs and reweighting mechanisms in adversarial training.

New algorithms optimize actions under time-varying constraints without projecting.

problem Optimizing actions under time-varying constraints without projecting.
method Projection-free algorithms using linear optimization oracle.
result Guaranteed ildeO(T3/4) ilde{O}(T^{3/4}) regret and O(T7/8)O(T^{7/8}) constraints violation.

Soft diamond regularizers improve deep learning performance and sparsity.

problem Improving deep learning performance and sparsity of trained weights.
method New soft diamond synaptic weight priors based on thick-tailed symmetric alpha stable probability curves.
result Soft diamond regularizers outperform state-of-the-art methods in deep learning tasks.

This paper compares unstructured and structured EM-based semi-supervised learning methods.

problem Semi-supervised learning with EM algorithm for structured prediction.
method Comparative study between unstructured and structured EM-based semi-supervised learning methods.
result Structured EM is more robust to class confusion in flood mapping datasets.

In this paper, the extension of the framework of Learning from Constraints (LfC) to a distributed setting where multiple parties, connected over the network, contribute to the learning process is studied. LfC relies on the generic notion of "constraint" to inject knowledge into the learning problem and, due to its gene…

2019-11-13abs ↗pdf ↗

Employers actively look for talents having not only specific hard skills but also various soft skills. To analyze the soft skill demands on the job market, it is important to be able to detect soft skill phrases from job advertisements automatically. However, a naive matching of soft skill phrases can lead to false pos…

2018-07-20abs ↗pdf ↗

HardNet adds hard constraints to neural networks without sacrificing performance.

problem Ensuring adherence to input-dependent constraints in neural networks.
method Appends a differentiable enforcement layer to neural networks for end-to-end training with hard constraint guarantees.
result HardNet retains neural networks' universal approximation capabilities and enables efficient optimization.

A new GP method enforces physical constraints in probabilistic terms.

problem Unbounded model in GP regression leading to infeasible values.
method Introduces a new GP method using QHMC to enforce soft inequality and monotonicity constraints.
result Improves accuracy and reduces variance in GP model.

Motivated by applications in computational advertising and systems biology, we consider the problem of identifying the best out of several possible soft interventions at a source node VV in an acyclic causal directed graph, to maximize the expected value of a target node YY (located downstream of VV). Our setting im…

2017-01-10abs ↗pdf ↗

Many inference problems in structured prediction are naturally solved by augmenting a tractable dependency structure with complex, non-local auxiliary objectives. This includes the mean field family of variational inference algorithms, soft- or hard-constrained inference using Lagrangian relaxation or linear programmin…

2015-03-04abs ↗pdf ↗

Paper studies sparsity and DAG constraints for learning linear DAGs.

problem Learning DAGs from data is challenging due to the large search space.
method Formulates structure learning as a constrained optimization problem with soft sparsity and DAG constraints.
result Soft sparsity and DAG constraints lead to an easier optimization problem.