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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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63127190253 · Jun 202019922001200920172026
48 results for transductive inference

Transductive learning considers a training set of mm labeled samples and a test set of uu unlabeled samples, with the goal of best labeling that particular test set. Conversely, inductive learning considers a training set of mm labeled samples drawn iid from P(X,Y)P(X,Y), with the goal of best labeling any future sample…

2016-02-09abs ↗pdf ↗

Standard methods in supervised learning separate training and prediction: the model is fit independently of any test points it may encounter. However, can knowledge of the next test point x\mathbf{x}_{\star} be exploited to improve prediction accuracy? We address this question in the context of linear prediction, show…

2019-08-06abs ↗pdf ↗

New methods learn from single graphs, improving transductive node classification.

problem Statistical foundations of transductive learning for single graphs.
method Developed new concentration-of-measure tools for large graphs.
result Achieved optimal nonparametric rate of N1/2N^{-1/2} for single graph learning.

Graph neural networks generalize well under certain conditions, explained by learning theory.

problem Understanding why graph neural networks generalize well in transductive inference.
method Analysis of transductive Rademacher complexity to explain generalization properties of graph convolutional networks.
result Transductive Rademacher complexity can explain the generalization of graph convolutional networks for node classification in stochastic block models.

Supervised learning with large scale labeled datasets and deep layered models has made a paradigm shift in diverse areas in learning and recognition. However, this approach still suffers generalization issues under the presence of a domain shift between the training and the test data distribution. In this regard, unsup…

2016-02-10abs ↗pdf ↗

GEN tackles few-shot out-of-graph link prediction in evolving multi-relational graphs.

problem Predicting links between unseen nodes in evolving multi-relational graphs with few edges per node.
method Transductive meta-learning framework (GEN) for inductive and transductive inference.
result GEN significantly outperforms relevant baselines for out-of-graph link prediction tasks.

We develop a technique for deriving data-dependent error bounds for transductive learning algorithms based on transductive Rademacher complexity. Our technique is based on a novel general error bound for transduction in terms of transductive Rademacher complexity, together with a novel bounding technique for Rademacher…

2014-01-15abs ↗pdf ↗

Meta-learning framework improves model performance on few-shot classification tasks.

problem Improving model performance on few-shot classification tasks.
method Empirical Bayes formulation with synthetic gradients for transductive meta-learning.
result Meta-learning framework outperforms previous state-of-the-art methods on benchmarks.

The paper establishes bounds for transductive learning using information theory.

problem Transductive learning generalization gap control.
method Information theory, PAC-Bayes, mutual information, conditional mutual information, different information measures.
result Established transductive information-theoretic and PAC-Bayesian bounds.

BayReL learns molecular interactions across multi-omics data.

problem Inferring meaningful interactions across diverse molecular data types.
method BayReL uses Bayesian representation learning with graph models to integrate multi-omics data.
result BayReL outperforms existing methods in inferring molecular interactions.

Novel conformal methods test out-of-distribution data with labeled outliers.

problem Testing whether new data comes from the same distribution as a reference.
method Integrative conformal p-values re-weight standard p-values using dependent side information.
result The methods outperform standard conformal p-values in simulations and applications.

The paper finds a fundamental trade-off between confidence and efficiency in transductive conformal prediction.

problem The challenge is to balance confidence and efficiency in predicting multiple data points.
method The authors derive a strict finite-sample bound and introduce a practical algorithm to approach this bound.
result Any non-trivial confidence level leads to exponential growth in prediction set size, with a linear scaling in the number of samples.

Extractive compression is a challenging natural language processing problem. This work contributes by formulating neural extractive compression as a parse tree transduction problem, rather than a sequence transduction task. Motivated by this, we introduce a deep neural model for learning structure-to-substructure tree …

2018-09-24abs ↗pdf ↗

In this paper we introduce the transductive linear bandit problem: given a set of measurement vectors XRd\mathcal{X}\subset \mathbb{R}^d, a set of items ZRd\mathcal{Z}\subset \mathbb{R}^d, a fixed confidence δδ, and an unknown vector θRdθ^{\ast}\in \mathbb{R}^d, the goal is to infer $\text{argmax}_{z\in \mathcal{Z}} z^\t…

2019-06-20abs ↗pdf ↗

Proposes a framework for compositional generalization in language models.

problem Lack of compositional generalization in neural networks compared to humans.
method Introduces Generalized Grammar Rules (GGRs) for transduction tasks, formalizing symmetry-based constraints.
result Framework enables models to generalize compositionally, similar to human learning.

Many machine learning tasks can be expressed as the transformation---or \emph{transduction}---of input sequences into output sequences: speech recognition, machine translation, protein secondary structure prediction and text-to-speech to name but a few. One of the key challenges in sequence transduction is learning to …

2012-11-14abs ↗pdf ↗

Study shows transductive learning is equivalent to PAC learning for most natural loss functions.

problem Understanding the relationship between transductive and PAC learning models.
method Extending existing results and developing new techniques to analyze the equivalence of the two models.
result Transductive learning is essentially equivalent to PAC learning for realizable learning with most natural loss functions.

New method uses sufficient statistics to infer causal relationships from observational data.

problem Inferring causal relationships from observational data with hidden variables.
method Information Bottleneck method applied to find functional sufficient statistics.
result New causal rules not obtainable from standard methods, validated on simulated and real data.

The paper surveys recent extensions of the Long-Short Term Memory networks to handle tree structures from the perspective of learning non-trivial forms of isomorph structured transductions. It provides a discussion of modern TreeLSTM models, showing the effect of the bias induced by the direction of tree processing. An…

2019-02-05abs ↗pdf ↗

Proposes a transductive matrix completion method with calibration for multi-task learning.

problem Improving multi-task learning with multiple related data sources.
method Transductive matrix completion with calibration constraint.
result The proposed algorithm recovers incomplete feature and target matrices with improved results.

New bounds improve graph node classification using optimal transport.

problem Improving transductive generalization bounds for graph node classification.
method Representation-based generalization bounds via optimal transport, expressed in terms of Wasserstein distances.
result Strong correlation between derived bounds and empirical generalization in graph node classification.

Most traditional online learning algorithms are based on variants of mirror descent or follow-the-leader. In this paper, we present an online algorithm based on a completely different approach, tailored for transductive settings, which combines "random playout" and randomized rounding of loss subgradients. As an applic…

2011-06-13abs ↗pdf ↗

We present transductive Boltzmann machines (TBMs), which firstly achieve transductive learning of the Gibbs distribution. While exact learning of the Gibbs distribution is impossible by the family of existing Boltzmann machines due to combinatorial explosion of the sample space, TBMs overcome the problem by adaptively …

2018-05-21abs ↗pdf ↗

We show two novel concentration inequalities for suprema of empirical processes when sampling without replacement, which both take the variance of the functions into account. While these inequalities may potentially have broad applications in learning theory in general, we exemplify their significance by studying the t…

2014-11-26abs ↗pdf ↗

The study finds conditions for compressing the hidden dimension of Graph Transformers for transductive learning.

problem The challenge of efficiently analyzing and training Graph Transformers for transductive learning.
method Theoretical bounds on hidden dimension compression for Graph Transformers, considering both sparse and dense variants.
result Theoretical findings on how and under what conditions the hidden dimension of Graph Transformers can be compressed.

Study on tradeoffs between mistakes and ERM oracle calls in online and transductive learning.

problem Analyzing online and transductive learning with limited ERM and weak consistency oracle access.
method Proves lower bounds and upper bounds on mistakes and oracle calls, considering realizable and agnostic cases.
result Achieves optimal mistake bounds with weak consistency queries for certain concept classes.

Combines Xgboost and transductive SVM for semi-supervised learning.

problem Improving semi-supervised learning performance with heterogeneous tabular data.
method Proposes an optimization-based ensemble method to adaptively combine Xgboost and transductive SVM.
result Significantly improves classification accuracy over state-of-the-art methods.

We consider using an ensemble of binary classifiers for transductive prediction, when unlabeled test data are known in advance. We derive minimax optimal rules for confidence-rated prediction in this setting. By using PAC-Bayes analysis on these rules, we obtain data-dependent performance guarantees without distributio…

2015-01-15abs ↗pdf ↗

Proposes a neural framework to select subsets efficiently across different models.

problem Lack of generalizability in subset selection methods for unseen architectures.
method Introduces a trainable subset selection framework, SubSelNet, that uses attention-based neural gadgets and subset samplers.
result SubSelNet generalizes across architectures and outperforms existing methods.

Graph deep learning has recently emerged as a powerful ML concept allowing to generalize successful deep neural architectures to non-Euclidean structured data. Such methods have shown promising results on a broad spectrum of applications ranging from social science, biomedicine, and particle physics to computer vision,…

2020-02-11abs ↗pdf ↗

Enhances few-shot image classification using unlabelled examples.

problem Few-shot image classification with limited labeled data.
method Transductive meta-learning combining soft k-means clustering and neural feature extractor.
result State-of-the-art performance on Meta-Dataset, mini-ImageNet, and tiered-ImageNet benchmarks.