Deep neural network detects falls from IoT sensor data.
arXiv research
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Voice-controlled e-commerce app enhances user experience for visually impaired.
Deep learning (DL) training-as-a-service (TaaS) is an important emerging industrial workload. The unique challenge of TaaS is that it must satisfy a wide range of customers who have no experience and resources to tune DL hyper-parameters, and meticulous tuning for each user's dataset is prohibitively expensive. Therefo…
This note provides an error bound for the Hartman-Watson integral's leading term.
This paper models stock prices using a Janardan Galton Watson process.
A new method TNW-CATE estimates treatment effects using neural networks.
New method handles missing data using AI for efficient inference.
Barrieu, Rouault, and Yor [J. Appl. Probab. 41 (2004)] determined asymptotics for the logarithm of the distribution function of the Hartman-Watson distribution. We determine the asymptotics of the density. This refinement can be applied to the pricing of Asian options in the Black-Scholes model.
Paper provides an upper bound for bias of Nadaraya-Watson kernel regression.
New insights into Nadaraya-Watson interpolators show varied generalization behaviors.
We show that any exceptional non-trivial Dehn surgery on a twist knot, except the trefoil, yields a 3-manifold whose fundamental group is left-orderable. This is a generalization of a result of Clay, Lidman and Watson, and also gives a new supporting evidence for a conjecture of Boyer, Gordon and Watson.
We study the secondary structure of RNA determined by Watson-Crick pairing without pseudo-knots using Milnor invariants of links. We focus on the first non-trivial invariant, which we call the Heisenberg invariant. The Heisenberg invariant, which is an integer, can be interpreted in terms of the Heisenberg group as wel…
The purpose of this paper is to provide a sharp analysis on the asymptotic behavior of the Durbin-Watson statistic. We focus our attention on the first-order autoregressive process where the driven noise is also given by a first-order autoregressive process. We establish the almost sure convergence and the asymptotic n…
Authors derive the first two terms of the Hartman-Watson distribution's expansion for small t.
We prove that the link of a complex normal surface singularity is an L--space if and only if the singularity is rational. This via a recent result of Hanselman, J. Rasmussen, S. D. Rasmussen and Watson (proving the conjecture of Boyer, Gordon and Watson), shows that a singularity link is not rational if and only if its…
Boyer, Gordon, and Watson have conjectured that an irreducible rational homology 3-sphere is an L-space if and only if its fundamental group is not left-orderable. Since large classes of L-spaces can be produced from Dehn surgery on knots in the 3-sphere, it is natural to ask what conditions on the knot group are suffi…
A new loss function for VAEs improves image quality and efficiency.
New insights into simple kernel smoothing reveal surprising asymptotics.
Quantum computing offers new solutions for finance problems.
It has been recently conjectured by Boyer-Gordon-Watson that a closed, orientable, irreducible -manifold is a Heegaard Floer -space if and only if is not left-orderable. In this article, we study this conjecture from the point of view of lattice cohomology, an invariant introduced by Némethi which is…
Estimates time-series drifts from i.i.d. data using a direct Nadaraya-Watson plug-in method.
Using an invariant defined by Rasmussen, we extend an argument given by Hedden and Watson which further restricts which Alexander polynomials can be realized by -space knots.
Study finds a small correction to Asian option volatility.
Quantum computers can optimize foreign exchange reserves management.
Boyer, Gordon, and Watson have conjectured that an irreducible rational homology 3-sphere is an L-space if and only if its fundamental group is not left-orderable. Since Dehn surgeries on knots in can produce large families of L-spaces, it is natural to examine the conjecture on these 3-manifolds. Greene, Lewalle…
Improved local feature attributions using neighbourhood reference distributions.
New method uses quantum computing to process classical data efficiently.
We show that any exceptional non-trivial Dehn surgery on a hyperbolic two-bridge knot yields a 3-manifold whose fundamental group is left-orderable. This gives a new supporting evidence for a conjecture of Boyer, Gordon and Watson.
The paper introduces a method to quantify uncertainty in neural networks without parametric assumptions.
Causal inference analysis is the estimation of the effects of actions on outcomes. In the context of healthcare data this means estimating the outcome of counter-factual treatments (i.e. including treatments that were not observed) on a patient's outcome. Compared to classic machine learning methods, evaluation and val…
Let L \subset S^3 denote an alternating link and Sigma(L) its branched double-cover. We give a short proof of the fact that the fundamental group of Sigma(L) admits a left-ordering iff L is an unlink. This result is originally due to Boyer-Gordon-Watson.
A new polynomial invariant for strongly involutive links.
Generative models use kernel smoothing for conditioning on small example sets.
Study on predicting graph labels at nodes using local averaging and distance estimation.
Efficient classifier with uncertainty bounds for safety-critical applications.
We treat the problem of estimation of orientation parameters whose values are invariant to transformations from a spherical symmetry group. Previous work has shown that any such group-invariant distribution must satisfy a restricted finite mixture representation, which allows the orientation parameter to be estimated u…
TAP transfers knowledge from unlabeled data to improve cross-modal learning.
The purpose of this paper is to propose a time-varying vector autoregressive model (TV-VAR) for forecasting multivariate time series. The model is casted into a state-space form that allows flexible description and analysis. The volatility covariance matrix of the time series is modelled via inverted Wishart and singul…
This study improves estimation of locally stationary functional time series using NW method.
New research shows IBM's GDX algorithm outperforms Vytelingum's Adaptive-Aggressive strategy in market simulations.
We show that the resulting manifold by -surgery on a large class of two-bridge knots has left-orderable fundamental group if the slope satisfies certain conditions. This result gives a supporting evidence to a conjecture of Boyer, Gordon and Watson that relates -spaces and the left-orderability of their funda…
The paper explores statistical limits for detecting correlation in tree structures.
Quantum models use complex Hilbert spaces for uncertainty.
ABIForest improves anomaly detection using attention weights.
New theory shows how multi-head attention reduces variance and decorrelates outputs.
We show that the fundamental group of the double branched cover of an infinite family of homologically thin, non-quasi-alternating knots is not left-orderable, giving further support for a conjecture of Boyer, Gordon, and Watson that an irreducible rational homology 3-sphere is an L-space if and only if its fundamental…
Transformers can approximate Kalman Filtering in linear systems with small error.
We present the recent advances along with an error analysis of the IBM speaker recognition system for conversational speech. Some of the key advancements that contribute to our system include: a nearest-neighbor discriminant analysis (NDA) approach (as opposed to LDA) for intersession variability compensation in the i-…