Representation of Context-Specific Causal Models with Observational and
Interventional Data
January 22, 2021
|
Mathematics
Statistics
Statistics Theory
Combinatorics
Methodology
Machine Learning
Statistics Theory
We address the problem of representing context-specific causal models based
on both observational and experimental data collected under general (e.g. hard
or soft) interventions by introducing a new family of context-specific
conditional in...
A graph-based formalism for surface codes and twists
January 22, 2021
|
Physics
Mathematics
Quantum Physics
Mathematical Physics
Mathematical Physics
Twist defects in surface codes can be used to encode more logical qubits,
improve the code rate, and implement logical gates. In this work we provide a
rigorous formalism for constructing surface codes with twists generalizing the
well-defi...
Approximate Byzantine Fault-Tolerance in Distributed Optimization
January 22, 2021
| |
Computer Science
Distributed, Parallel, and Cluster Computing
This paper considers the problem of Byzantine fault-tolerance in distributed
multi-agent optimization. In this problem, each agent has a local cost
function, and in the fault-free case, the goal is to design a distributed
algorithm that all...
Enhancing the formation of ionic defects to study the ice Ih/XI
transition with molecular dynamics simulations
January 22, 2021
|
Physics
Statistical Mechanics
Ice Ih, the common form of ice in the biosphere, contains proton disorder.
Its proton-ordered counterpart, ice XI, is thermodynamically stable below 72 K.
However, even below this temperature the formation of ice XI is kinetically
hindered ...
On metrics robust to noise and deformations
January 22, 2021
Mathematics
Computer Science
Functional Analysis
Numerical Analysis
Numerical Analysis
We study the properties of a family of distances between functions of a
single variable. These distances are examples of integral probability metrics,
and have been used previously for comparing probability measures on the line;
special cas...
A Newton's Iteration Converges Quadratically to Nonisolated Solutions
Too
January 22, 2021
Mathematics
Computer Science
Numerical Analysis
Numerical Analysis
The textbook Newton's iteration is practically inapplicable on solutions of
nonlinear systems with singular Jacobians. By a simple modification, a novel
extension of Newton's iteration regains its local quadratic convergence toward
nonisola...
Dense outlier detection and open-set recognition based on training with
noisy negative images
January 22, 2021
| | |
Computer Science
Computer Vision and Pattern Recognition
Deep convolutional models often produce inadequate predictions for inputs
foreign to the training distribution. Consequently, the problem of detecting
outlier images has recently been receiving a lot of attention. Unlike most
previous work,...
Turing Degrees of Hyperjumps
January 21, 2021
|
Mathematics
Logic
The Posner-Robinson Theorem states that for any reals Z and A such that
Z⊕0′≤TA and 0<TZ, there exists B such
that $A \equiv_\mathrm{T} B' \equiv_\mathrm{T} B \oplus Z \equiv_\mathrm{T} B
\oplus 0...
To VaR, or Not to VaR, That is the Question
January 21, 2021
Economics
Quantitative Finance
General Economics
Economics
General Finance
Portfolio Management
Pricing of Securities
Risk Management
We consider economic obstacles that limit the reliability and accuracy of
value-at-risk (VaR). Investors who manage large market transactions should take
into account the impact of the randomness of large trade volumes on predictions
of pri...
Uniqueness of excited states to −Δu+u−u3=0 in three dimensions
January 20, 2021
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Mathematics
Classical Analysis and ODEs
Analysis of PDEs
We prove the uniqueness of several excited states to the ODE y¨(t)+t2y˙(t)+f(y(t))=0, y(0)=b, and y˙(0)=0 for the
model nonlinearity f(y)=y3−y. The n-th excited state is a solution
with exactl...