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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 online partitioning

Online BSP-Forest improves space partitioning for large-scale classification and regression.

problem Efficient space partitioning for large-scale classification and regression problems.
method Developed an online BSP-Forest framework that expands space coverage and refines partition structure in real-time.
result Guaranteed universal consistency for both classification and regression problems.

New method for distributed online learning with communication constraints reduces joint regret.

problem Joint regret minimization in a distributed online learning setting with communication constraints.
method Adaptive graph partitioning and comparator-adaptive online convex optimization with delayed gradient information.
result Optimal graph partition selection for adversarial activations and gradients reduces joint regret.

New algorithm fills gaps in offline data for hybrid RL, achieving similar gains without coverage assumptions.

problem Lack of provable benefits in hybrid RL with coverage assumptions.
method Warm-starting optimistic online algorithms with offline data in experience replay buffer.
result Hybrid RL gains similar to offline-only RL without coverage assumptions, demonstrating efficient exploration.

Unified framework for differentiable graph partitioning with probabilistic cuts.

problem Lack of general guarantees and principled gradients in prior probabilistic relaxations of graph cuts.
method Unified probabilistic framework covering a wide class of cuts, including Normalized Cut, with tight analytic upper bounds.
result Rigorous, numerically stable foundation for scalable, differentiable graph partitioning.

We consider the problem of adaptive stratified sampling for Monte Carlo integration of a noisy function, given a finite budget n of noisy evaluations to the function. We tackle in this paper the problem of adapting to the function at the same time the number of samples into each stratum and the partition itself. More p…

2013-03-12abs ↗pdf ↗

Develops a framework for clustering and distribution matching with bandit feedback.

problem Clustering and distribution matching problems with limited feedback.
method General framework using KK-armed bandit model, Track-and-Stop method, and Frank--Wolfe algorithm.
result Average number of arm pulls matches lower bound, with asymptotic convergence to fundamental limit.

Solves open problem on universally consistent online learning with unbounded losses.

problem Open problem on universally consistent online learning with unbounded losses.
method Constructs random measurable partitions of the instance space.
result Simple memorization rule is optimistically universal for any unbounded loss.

Online advertising is an important and huge industry. Having knowledge of the website attributes can contribute greatly to business strategies for ad-targeting, content display, inventory purchase or revenue prediction. Classical inferences on users and sites impose challenge, because the data is voluminous, sparse, hi…

2014-10-24abs ↗pdf ↗

PyXAB is a Python library for X-armed bandits and online optimization.

problem Efficiently solving X-armed bandit problems and online blackbox optimization.
method Implementation of 10+ X-armed bandit algorithms and synthetic objectives.
result Evaluation of different algorithms' performance on various synthetic objectives.

LA-MCTS learns search space partition for black-box optimization using Monte Carlo Tree Search.

problem High-dimensional black-box optimization challenges.
method LA-MCTS recursively splits search space into regions with high/low function values, learns nonlinear partition and local models online.
result LA-MCTS achieves strong performance in black-box optimization and reinforcement learning benchmarks, especially for high-dimensional problems.

Paper improves neural network robustness analysis for safety-critical systems.

problem Uncertainty in neural network outputs for safety-critical systems.
method Unified propagation and partition approaches to provide tighter bounds.
result Proposed algorithms give tighter bounds than existing methods for the same computation time.

We introduce inference trees (ITs), a new class of inference methods that build on ideas from Monte Carlo tree search to perform adaptive sampling in a manner that balances exploration with exploitation, ensures consistency, and alleviates pathologies in existing adaptive methods. ITs adaptively sample from hierarchica…

2018-06-25abs ↗pdf ↗

With the dawn of the Big Data era, data sets are growing rapidly. Data is streaming from everywhere - from cameras, mobile phones, cars, and other electronic devices. Clustering streaming data is a very challenging problem. Unlike the traditional clustering algorithms where the dataset can be stored and scanned multipl…

2019-02-07abs ↗pdf ↗

New algorithms adaptively calibrate predictions in non-stationary environments, matching optimal rates.

problem Designing online prediction algorithms that adapt to varying levels of non-stationarity.
method Epoch-based scheduling and non-uniform partitioning of the prediction space.
result Achieves adaptive calibration guarantees under multiple measures with optimal rates.

Unified analysis of tree-based methods for online reinforcement learning.

problem Designing efficient algorithms for online reinforcement learning with low sample complexity, storage, and computational burden.
method Unified theoretical analysis of tree-based hierarchical partitioning methods for online reinforcement learning.
result Our algorithms provide guarantees that scale with respect to the 'zooming dimension', improving upon ambient dimension scaling.

Efficient Bayesian LMM framework for high-dimensional longitudinal data.

problem Scalability and dependence in high-dimensional longitudinal data.
method Partitioned empirical Bayes ECM algorithm for scalable MAP estimation.
result Identification of genes and clinical factors associated with a lupus biomarker.

New algorithm reduces regret in private online learning with optimal gap-dependent rate.

problem Optimal gap-dependent regret rate for private stochastic decision-theoretic online learning.
method Horizon-free pure-DP algorithm with exponential block partitioning and softmax selection.
result Explicit regret bound of 1000(logKΔmin+logKε)1000 \cdot (\frac{\log K}{Δ_{\min}}+\frac{\log K}{\varepsilon}).

In this paper we propose to solve an important problem in recommendation -- user cold start, based on meta leaning method. Previous meta learning approaches finetune all parameters for each new user, which is both computing and storage expensive. In contrast, we divide model parameters into fixed and adaptive parts and…

2019-12-04abs ↗pdf ↗

One important partition of algorithms for controlling the false discovery rate (FDR) in multiple testing is into offline and online algorithms. The first generally achieve significantly higher power of discovery, while the latter allow making decisions sequentially as well as adaptively formulating hypotheses based on …

2019-10-11abs ↗pdf ↗

Develops a gradient-enhanced approach for online estimation in high-dimensional generalized linear models with streaming data.

problem Online estimation for high-dimensional generalized linear models with streaming data.
method Proposes a gradient-enhanced surrogate loss for non-distributed setting and extends to distributed streaming data.
result Derives non-asymptotic error bounds under high-dimensional scaling without batch-number constraint.

We present a consensus Monte Carlo algorithm that scales existing Bayesian nonparametric models for clustering and feature allocation to big data. The algorithm is valid for any prior on random subsets such as partitions and latent feature allocation, under essentially any sampling model. Motivated by three case studie…

2019-06-28abs ↗pdf ↗

We propose a new anytime hierarchical clustering method that iteratively transforms an arbitrary initial hierarchy on the configuration of measurements along a sequence of trees we prove for a fixed data set must terminate in a chain of nested partitions that satisfies a natural homogeneity requirement. Each recursive …

2014-04-13abs ↗pdf ↗

Efficiently learns monophonic halfspaces in graph vertices.

problem Learning binary classifiers on graph vertices using monophonic halfspaces.
method Polynomial-time algorithm for consistent hypothesis checking, based on structural insights and reduction to 2-satisfiability.
result Near-optimal passive sample complexity for monophonic halfspaces in polynomial time.

The study examines the balancedness of random partition models and finds the rich-get-richer characteristic is a result of model assumptions.

problem The balancedness of random partition models is largely neglected in the literature.
method Formulated a framework to define and study the balancedness of exchangeable random partition models, analyzed using product-form exchangeability and projectivity assumptions.
result The 'rich-get-richer' characteristic is an inevitable consequence of the model assumptions.

The paper develops mixed-integer formulations for neural networks using partitioning.

problem Optimizing trained ReLU neural networks with balanced model size and tightness.
method Partitioning node inputs into groups, forming the convex hull via disjunctive programming.
result The proposed formulations outperform existing ones, especially with fewer partitions.

New partition designs reduce star discrepancy in high-dimensional sampling.

problem Improving the expected star discrepancy in high-dimensional sampling.
method Developed non-equal volume partitions to achieve lower expected star discrepancy.
result Explicit upper bounds for expected star discrepancy under non-equal volume partitions.

The paper constructs Markov partitions for geodesic flow on hyperbolic surfaces.

problem Understanding Markov partitions for general hyperbolic flows.
method Rigorous construction of Markov partitions for geodesic flow on Riemann surfaces of constant negative curvature.
result Explicit forms of rectangles and local cross sections provided for the geodesic flow.

Paper addresses inefficiency in converting EFGs to NFGs for learning.

problem Inefficiency in converting Extensive-Form Games to Normal-Form Games.
method Uses ΦΦ-Hedge algorithm and Online Mirror Descent (OMD) for polynomial-time learning of EFGs.
result Achieves O~(XAT)\widetilde{\mathcal{O}}(\sqrt{XAT}) EFCE-regret, matching information-theoretic lower bound.

Graph partitioning is the problem of dividing the nodes of a graph into balanced partitions while minimizing the edge cut across the partitions. Due to its combinatorial nature, many approximate solutions have been developed, including variants of multi-level methods and spectral clustering. We propose GAP, a Generaliz…

2019-03-02abs ↗pdf ↗

Space partitions of Rd\mathbb{R}^d underlie a vast and important class of fast nearest neighbor search (NNS) algorithms. Inspired by recent theoretical work on NNS for general metric spaces [Andoni, Naor, Nikolov, Razenshteyn, Waingarten STOC 2018, FOCS 2018], we develop a new framework for building space partitions re…

2019-01-24abs ↗pdf ↗