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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.

169,341 papers · 148 categories

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48 results for setwise learning

SetRank tackles collaborative ranking from implicit feedback using setwise Bayesian approach.

problem Challenges in pairwise and listwise approaches for implicit feedback.
method SetRank is a novel setwise Bayesian approach that accommodates implicit feedback characteristics.
result SetRank outperforms state-of-the-art baselines on real-world datasets.

It is shown that for any locally knotted edge of a 3-connected graph in S3S^3, there is a ball that contains all of the local knots of that edge and is unique up to an isotopy setwise fixing the graph. This result is applied to the study of topological symmetry groups of graphs embedded in S3S^3.

2010-10-04abs ↗pdf ↗

A hyperelliptic broken Lefschetz fibration is a generalization of a hyperelliptic Lefschetz fibration. We construct and compute a local signature of hyperelliptic directed broken Lefschetz fibrations by generalizing Endo's local signature of hyperelliptic Lefschetz fibrations. It is described by his local signature and…

2011-10-24abs ↗pdf ↗

It is known that the space of convex polygons in the Euclidean plane with fixed normals, up to homotheties and translations, endowed with the area form, is isometric to a hyperbolic polyhedron. In this note we show a class of convex polygons in the Lorentzian plane such that their moduli space, if the normals are fixed…

2011-11-15abs ↗pdf ↗

An automorphism αα of a group GG is normal if it fixes every normal subgroup of GG setwise. We give an algebraic description of normal automorphisms of relatively hyperbolic groups. In particular, we prove that for any relatively hyperbolic group GG, Inn(G)Inn(G) has finite index in the subgroup Autn(G)Aut_n(G) of normal au…

2008-09-14abs ↗pdf ↗

Study Goeritz groups of link decompositions, focusing on their asymptotic behavior.

problem Understanding the asymptotic behavior of Goeritz groups for link decompositions.
method Defined Goeritz groups for link decompositions, analyzed their properties, and discussed their asymptotic behavior.
result Discussed the asymptotic behavior of minimal pseudo-Anosov entropies and related it to Goeritz groups of Heegaard splittings.

This paper extends braid lifting to coloured braid groupoids for all simple disc covers.

problem Lifting braids to homeomorphisms on branched covers of the disc.
method Defines a map from a coloured braid groupoid to a mapping class groupoid for all simple covers of the disc.
result Characterizes the lift of every coloured braid, recovering classical lifting on liftable braids.

Establishes a rank inequality between knot Floer homologies of freely 2-periodic knots and their quotients.

problem Knot Floer homology of freely 2-periodic knots and their quotients
method Large's generalization of Seidel-Smith's localization spectral sequence
result Rank inequality between knot Floer homologies

Consider the unit ball, B=D×[0,1]B = D \times [0,1], containing nn unknotted arcs a1,a2,...,ana_1, a_2, ..., a_n such that the boundary of each aia_i lies in D×{0}D \times \{0\}. The Hilden (or Wicket) group is the mapping class group of BB fixing the arcs a1a2...ana_1 \cup a_2 \cup ... \cup a_n setwise and fixing D×{1}D \times \{1\} pointwise. T…

2009-02-27abs ↗pdf ↗

There are several Teichmüller spaces associated to a surface of infinite topological type, after the choice of a particular basepoint (a complex or a hyperbolic structure on the surface). These spaces include the quasiconformal Teichmüller space, the length spectrum Teichmüller space, the Fenchel-Nielsen Teichmüller sp…

2010-12-11abs ↗pdf ↗

Meta-learning improves neural networks by adapting learning algorithms.

problem Conventional AI approaches solve tasks from scratch, but meta-learning aims to improve the learning algorithm.
method Meta-learning adapts a learning algorithm based on multiple learning episodes.
result Meta-learning can tackle deep learning challenges like data and computation bottlenecks.

Machine learning models adapt to motor learning but face challenges.

problem Adapting machine learning to handle motor variability and differentiate new movements from known ones.
method Parameter adaptation, transfer and meta-learning, reinforcement learning.
result Challenges in applying machine learning models for motor learning support systems.

Optimal learning paths designed for E-learning systems using reinforcement learning.

problem Designing optimal learning paths for E-learning systems.
method Developed a hierarchical skill model and a proficiency level model, applied reinforcement learning to find the optimal learning strategy.
result Demonstrated the effectiveness of the proposed framework via numerical experiments.

Dex improves reinforcement learning by solving complex environments incrementally.

problem Training reinforcement learning agents for complex, ever-changing environments.
method Incremental learning approach, using optimal weights from simpler environments.
result Incremental learning yields superior performance across multiple Dex environments.

New method uses bi-level optimization to learn useful representations for imitation learning.

problem Learning useful representations for multiple tasks in imitation learning settings.
method Formulates representation learning as a bi-level optimization problem.
result Bi-level optimization framework provides sample complexity benefits for imitation learning.

Tabular Q-Learning with learned state abstractions solves continuous control tasks.

problem Challenging reinforcement learning problems in continuous control.
method Learned state abstraction to transform continuous state-space into discrete.
result Tabular Q-Learning with learned abstractions achieves efficient learning in unseen tasks.

Unsupervised meta-learning speeds up reinforcement learning tasks.

problem Efficiently solving new reinforcement learning tasks.
method Formulating unsupervised meta-reinforcement learning and using mutual information for task proposals.
result Unsupervised meta-reinforcement learning effectively acquires accelerated procedures without manual task design.

Pymc-learn simplifies probabilistic machine learning for non-specialists.

problem Making probabilistic machine learning accessible to non-experts.
method Inspired by scikit-learn, Pymc-learn provides a high-level language for probabilistic models.
result Pymc-learn brings probabilistic machine learning to non-specialists with ease, performance, and flexibility.

Study Whittle index learning algorithms for restless bandits with constant stepsizes.

problem Optimizing decisions in restless multi-armed bandits with constant stepsizes.
method Developed Q-learning algorithms with constant stepsizes for index learning in restless bandits, extending to DQN and function approximations.
result The algorithms learn the Whittle index effectively.

New unsupervised learning technique learns independent kernels for better machine learning tasks.

problem Improving unsupervised representation learning for machine learning tasks.
method Stacking convolutional transforms using alternating proximal minimization scheme.
result DCTL outperforms shallow version CTL on benchmark datasets.

Paper develops a learning algorithm for relational logistic regression.

problem Learning multi-relational data models.
method Structure learning with Schmidt and Murphy's hierarchical assumption and parameter learning using logistic regression.
result The learning algorithm improves RLR model performance compared to other methods.

New self-imitation learning method improves performance in continuous control tasks.

problem Improving off-policy learning in continuous control tasks.
method Proposes a n-step lower bound to generalize lower-bound Q-learning and introduces a new family of self-imitation learning algorithms.
result n-step lower bound Q-learning achieves a better trade-off between bias and contraction rate, leading to improved performance.

Deep reinforcement learning finds optimal learning policies for adaptive systems.

problem Finding individualized learning plans for learners with unknown latent traits.
method Formulated as a Markov decision process, applied deep Q-learning with a transition model estimator.
result The algorithm efficiently discovers optimal learning policies with small data sets.

Unsupervised meta-learning improves learning from small labeled data.

problem Acquiring representations from unlabeled data for effective downstream learning.
method Develops an unsupervised meta-learning method that optimizes for task learning ability from unlabeled data.
result Simple task construction mechanisms, like clustering embeddings, lead to good performance on various downstream tasks.

Adaptive meta-learning improves few-shot learning and federated learning performance.

problem Improving few-shot learning and federated learning performance.
method Adaptive gradient-based meta-learning methods integrating online convex optimization and sequential prediction algorithms.
result Improved meta-test-time performance on standard problems in few-shot learning and federated learning.

Study batch reinforcement learning methods for personalized medical treatments.

problem Batch reinforcement learning for personalized medical treatments.
method Direct policy learning and model-based learning approaches.
result Model-based learning is impossible with finite model classes but feasible with relaxed conditions.

Theoretical analysis shows PU and NU learning can outperform PN learning under certain conditions.

problem Comparing PU and PN learning without negative data.
method Theoretical analysis based on upper bounds on estimation errors.
result Conditions under which PU and NU learning outperform PN learning are identified and proven.