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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.

169,051 papers · 148 categories

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3897781,1661,555 · Jun 202019922001200920182026
48 results for Tractable Learning

Unified framework for tractable inference scenarios in machine learning models.

problem Complex inference scenarios in machine learning models.
method Characterization of tractable modular operations over circuits and derivation of a unified framework.
result Unified framework for reasoning about tractable models.

Probabilistic models learned as density estimators can be exploited in representation learning beside being toolboxes used to answer inference queries only. However, how to extract useful representations highly depends on the particular model involved. We argue that tractable inference, i.e. inference that can be compu…

2016-08-08abs ↗pdf ↗

Normalizing flows can now estimate densities on unknown manifolds.

problem Normalizing flows struggle with data on unknown low-dimensional manifolds.
method Conformal Embedding Flows, which combine standard flows with trainable conformal embeddings.
result Tractable density estimation on manifold-supported data is possible.

A central problem in machine learning involves modeling complex data-sets using highly flexible families of probability distributions in which learning, sampling, inference, and evaluation are still analytically or computationally tractable. Here, we develop an approach that simultaneously achieves both flexibility and…

2015-03-12abs ↗pdf ↗

Normalizing Flows model tractable distributions for efficient sampling and evaluation.

problem Creating efficient generative models for sampling and density evaluation.
method Construct and use Normalizing Flows to learn distributions.
result Comprehensive review of current Normalizing Flow methods and future directions.

We develop computationally efficient Riemannian manifolds for graph embeddings.

problem Challenging to maintain computational tractability in non-Euclidean graph embeddings.
method Explore computationally efficient matrix manifolds for graph embeddings.
result Consistent improvements over Euclidean geometry and outperforming hyperbolic and elliptical embeddings.

In this paper we present decomposable priors, a family of priors over structure and parameters of tree belief nets for which Bayesian learning with complete observations is tractable, in the sense that the posterior is also decomposable and can be completely determined analytically in polynomial time. This follows from…

2013-01-16abs ↗pdf ↗

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.

A new heuristic for learning Markov network structure efficiently.

problem Complications in learning Markov networks, especially intractable computations and large parameter space.
method A computationally tractable greedy heuristic to limit the number of parameters.
result The method performs comparably well to state-of-the-art methods on real datasets.

New framework integrates SPNs with weighted model integration for hybrid data.

problem Handling mixed discrete-continuous data with tractable probabilistic representations.
method Sum-Product Networks (SPNs) with weighted model integration for hybrid domains.
result Effective framework for conditioning on interval constraints in hybrid data.

New algorithm achieves optimal regret in average reward MDPs without prior bias information.

problem Achieving optimal regret in average reward MDPs with computational efficiency and without prior bias information.
method Projective Mitigated Extended Value Iteration (PMEVI) to compute bias-constrained optimal policies efficiently.
result First tractable algorithm with minimax optimal regret of O~(sp(h)SAT)\widetilde{\mathrm{O}}(\sqrt{\mathrm{sp}(h^*) S A T}).

Paper shows how to infer hidden states in neural networks analytically.

problem Intractability of Bayesian inference for neural networks.
method Leverage tractable approximate Gaussian inference (TAGI) for hidden states inference.
result Demonstrates inference of hidden states through constraints for various applications.

Casting neural networks in generative frameworks is a highly sought-after endeavor these days. Contemporary methods, such as Generative Adversarial Networks, capture some of the generative capabilities, but not all. In particular, they lack the ability of tractable marginalization, and thus are not suitable for many ta…

2016-10-13abs ↗pdf ↗

This work tackles slate-based recommender systems using RL, optimizing long-term user engagement.

problem Optimizing long-term user engagement in slate-based recommender systems.
method Developed SLATEQ, a decomposition of RL methods for slate-based recommendations, and outlined a practical methodology.
result SLATEQ decomposes long-term value of a slate into component item-wise long-term values under mild assumptions.

We study the computational tractability of PAC reinforcement learning with rich observations. We present new provably sample-efficient algorithms for environments with deterministic hidden state dynamics and stochastic rich observations. These methods operate in an oracle model of computation -- accessing policy and va…

2018-03-01abs ↗pdf ↗

DBKs enable scalable GPs with tractable inference for large datasets.

problem Scaling Gaussian processes to large and complex datasets while maintaining tractable inference.
method DBKs constructed from neural-network-parameterized basis functions with explicit low-rank structure, enabling linear-complexity inference.
result DBKs provide a unified perspective and improve predictive accuracy, uncertainty quantification, and computational efficiency.

Study efficient interactive learning for structured outputs with reliable computation.

problem Interactive learning with noisy labels and structured output spaces.
method Identify and utilize CRISPs (probabilistic models) that guarantee reliable and efficient computation of probabilistic quantities.
result CRISPs enable robust and efficient active and skeptical learning in large structured output spaces.

Despite the fundamental nature of the inhomogeneous Poisson process in the theory and application of stochastic processes, and its attractive generalizations (e.g. Cox process), few tractable nonparametric modeling approaches of intensity functions exist, especially when observed points lie in a high-dimensional space.…

2016-10-27abs ↗pdf ↗

A new algorithm approximates optimal stopping problems with semi-tractable complexity.

problem Approximating the value of optimal stopping problems in discrete and continuous time.
method Weighted Stochastic Mesh (WSM) Algorithm for discrete and continuous time optimal stopping problems.
result WSM leads to semi-tractable complexity in discrete cases, with complexity bounded by ε4logd+2(1/ε)\varepsilon^{-4}\log^{d+2}(1/\varepsilon).

We introduce RNADE, a new model for joint density estimation of real-valued vectors. Our model calculates the density of a datapoint as the product of one-dimensional conditionals modeled using mixture density networks with shared parameters. RNADE learns a distributed representation of the data, while having a tractab…

2013-06-02abs ↗pdf ↗

Information theoretic active learning has been widely studied for probabilistic models. For simple regression an optimal myopic policy is easily tractable. However, for other tasks and with more complex models, such as classification with nonparametric models, the optimal solution is harder to compute. Current approach…

2011-12-24abs ↗pdf ↗

New algorithms for efficient inference and sampling in complex Ising models.

problem Efficiently computing partition functions and sampling configurations for complex Ising models.
method Equivalent linear transition to perfect matching counting and sampling on an expanded dual graph.
result Polynomial-time inference and sampling algorithms for K33K_{33}-free topologies.

Proposes SQUAD for better predictive uncertainty in deep latent models.

problem Intractable inference in deep latent variable models lead to overconfident predictions.
method Introduces Stochastic Quantized Activation Distributions (SQUAD) for flexible yet tractable latent variable distributions.
result The model provides competitive quality predictive uncertainty and learns non-linearities.

We present a novel tractable generative model that extends Sum-Product Networks (SPNs) and significantly boosts their power. We call it Sum-Product-Quotient Networks (SPQNs), whose core concept is to incorporate conditional distributions into the model by direct computation using quotient nodes, e.g. $P(A|B) = \frac{P(…

2017-10-12abs ↗pdf ↗

Paper tackles expected predictions computation for arbitrary generative models.

problem Hard to compute expected predictions for arbitrary generative models.
method Identifies tractable generative and discriminative models for expected predictions.
result Tractable computation of high-order moments and expectations for classification.

Proposes Exogenous Matching for efficient counterfactual estimation.

problem Efficient estimation of counterfactual expressions in general settings.
method Transforms variance minimization into conditional distribution learning.
result Outperforms other importance sampling methods in counterfactual estimation.

Proves efficient learning of hierarchical structure in meta-reinforcement learning.

problem Lack of provable guarantees for learning hierarchical structures in reinforcement learning.
method Analyzed HRL in meta-RL setting with tabular transition dynamics, providing diversity conditions and regret bounds.
result Sample-efficient recovery of natural hierarchical structure with provable guarantees.

Many polynomial invariants of knots and links, including the Jones and HOMFLY-PT polynomials, are widely used in practice but #P-hard to compute. It was shown by Makowsky in 2001 that computing the Jones polynomial is fixed-parameter tractable in the treewidth of the link diagram, but the parameterised complexity of th…

2017-12-15abs ↗pdf ↗

Despite widespread interest and practical use, the theoretical properties of random forests are still not well understood. In this paper we contribute to this understanding in two ways. We present a new theoretically tractable variant of random regression forests and prove that our algorithm is consistent. We also prov…

2013-10-04abs ↗pdf ↗

New method approximates complex kernel norms with random features, making learning tractable.

problem Complexity of learning with kernel methods in high dimensions.
method Random features approximations to Fp\mathcal{F}_p norms, focusing on p>1p>1.
result For p>1p>1, the number of random features required is polynomial in the sample size, making learning tractable.