Localized diffusion models reduce training complexity by exploiting low-dimensional structure.
arXiv research
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Generalizes machine learning models using localization kernels and local means.
Improves local learning models for complex feature extraction.
Local Gradient Descent with local steps converges to the centralized model in the interpolation regime.
In Bayesian classification, it is important to establish a probabilistic model for each class for likelihood estimation. Most of the previous methods modeled the probability distribution in the whole sample space. However, real-world problems are usually too complex to model in the whole sample space; some fundamental …
Proposes a continuous, differentiable model from local adaptive models.
New method controls error in low-dimensional marginals of spatial models.
The excellent performance of representation learning of autoencoders have attracted considerable interest in various applications. However, the structure and multi-local collaborative relationships of unlabeled data are ignored in their encoding procedure that limits the capability of feature extraction. This paper pre…
Understanding black-box machine learning models is crucial for their widespread adoption. Learning globally interpretable models is one approach, but achieving high performance with them is challenging. An alternative approach is to explain individual predictions using locally interpretable models. For locally interpre…
In this paper, we introduce an approach for leveraging available data across multiple locales sharing the same language to 1) improve domain classification model accuracy in Spoken Language Understanding and user experience even if new locales do not have sufficient data and 2) reduce the cost of scaling the domain cla…
This paper explores estimating chaotic dynamics and parameters using local ensemble Kalman filters.
MD-split+ creates locally valid prediction regions for complex data.
This paper proposes a representational model for image pairs such as consecutive video frames that are related by local pixel displacements, in the hope that the model may shed light on motion perception in primary visual cortex (V1). The model couples the following two components: (1) the vector representations of loc…
New GP model estimates piecewise continuous functions.
NeLLoC improves image compression with parallel decoding.
We study the local volatility function in the Foreign Exchange market where both domestic and foreign interest rates are stochastic. This model is suitable to price long-dated FX derivatives. We derive the local volatility function and obtain several results that can be used for the calibration of this local volatility…
Improved local feature attributions using neighbourhood reference distributions.
Extends Heston model with local volatility for better fit to market volatilities.
Paper improves stochastic collocation for local volatility models.
Proposes new Monte Carlo methods for calibrating local volatility models with stochastic components.
This paper describes another extension of the Local Variance Gamma model originally proposed by P. Carr in 2008, and then further elaborated on by Carr and Nadtochiy, 2017 (CN2017), and Carr and Itkin, 2018 (CI2018). As compared with the latest version of the model developed in CI2018 and called the ELVG (the Expanded …
Paper provides an explicit formula for local volatility in Cheyette models.
Combines global and local search for efficient global optimization with Gaussian processes.
New method calibrates local volatility models to marginal distributions.
We prove that under some purely algebraic conditions every locally homogeneous structure modelled on some homogeneous space is induced by a locally homogeneous structure modelled on a different homogeneous space.
The paper explores local-correlation models for pricing complex financial contracts.
Active learning method improves local model validity estimation.
CDLEEDS detects local changes in evolving data streams for accurate feature attributions.
Federated learning is a method of training models on private data distributed over multiple devices. To keep device data private, the global model is trained by only communicating parameters and updates which poses scalability challenges for large models. To this end, we propose a new federated learning algorithm that …
We introduce the Locally Linear Latent Variable Model (LL-LVM), a probabilistic model for non-linear manifold discovery that describes a joint distribution over observations, their manifold coordinates and locally linear maps conditioned on a set of neighbourhood relationships. The model allows straightforward variatio…
A new TwinGP framework for efficient large-scale GP modeling.
Federated learning (FL) is a heavily promoted approach for training ML models on sensitive data, e.g., text typed by users on their smartphones. FL is expressly designed for training on data that are unbalanced and non-iid across the participants. To ensure privacy and integrity of the fedeated model, latest FL approac…
Local data coverage governs memorization in diffusion models.
There is a rich and growing literature on producing local contrastive/counterfactual explanations for black-box models (e.g. neural networks). In these methods, for an input, an explanation is in the form of a contrast point differing in very few features from the original input and lying in a different class. Other wo…
Study evaluates local explanation methods for time series forecasting.
We consider an asset whose risk-neutral dynamics are described by a general class of local-stochastic volatility models and derive a family of asymptotic expansions for European-style option prices and implied volatilities. Our implied volatility expansions are explicit; they do not require any special functions nor do…
Derives short-term option pricing asymptotics in local-stochastic volatility models.
We obtain universal models for several types of locally conformal symplectic manifolds via pullback or reduction. The relation with recent embedding results for locally conformal Kähler manifolds is discussed.
We introduce the notion of a local torus action modeled on the standard representation (for simplicity, we call it a local torus action). It is a generalization of a locally standard torus action and also an underlying structure of a locally toric Lagrangian fibration. For a local torus action, we define two invariants…
EagleEye detects localized density anomalies in multivariate data.
GLIME improves LIME's stability and local fidelity.
Central to robot exploration and mapping is the task of persistent localization in environmental fields characterized by spatially correlated measurements. This paper presents a Gaussian process localization (GP-Localize) algorithm that, in contrast to existing works, can exploit the spatially correlated field measurem…
We propose a new localized inference algorithm for answering marginalization queries in large graphical models with the correlation decay property. Given a query variable and a large graphical model, we define a much smaller model in a local region around the query variable in the target model so that the marginal dist…
Proposes a framework to incorporate global sensitivity into local surrogate models.
We study locally differentially private algorithms for reinforcement learning to obtain a robust policy that performs well across distributed private environments. Our algorithm protects the information of local agents' models from being exploited by adversarial reverse engineering. Since a local policy is strongly bei…
Accelerates GPR with localized kernels for faster performance.
LSCI provides locally adaptive prediction sets for operator models with tighter coverage.
Proposes CLIQUE for improved local variable importance in multi-class classification.