Inferring causal interactions from observed data is a challenging problem, especially in the presence of measurement noise. To alleviate the problem of spurious causality, Haufe et al. (2013) proposed to contrast measures of information flow obtained on the original data against the same measures obtained on time-rever…
arXiv research
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Paper proposes mechanism learning to reverse causal inference in ML.
BayesMR estimates causal effects and directionality from genetic data.
A new sampler improves the inference of causal structures from observational data.
New method learns distribution shifts caused by predictive models in social computing.
GaussDetect-LiNGAM eliminates Gaussianity tests for causal discovery.
The paper proposes methods to extract and analyze individual variable information from complex dependencies.
Over the past two decades, several consistent procedures have been designed to infer causal conclusions from observational data. We prove that if the true causal network might be an arbitrary, linear Gaussian network or a discrete Bayes network, then every unambiguous causal conclusion produced by a consistent method f…
We show that univariate and symmetric multivariate Hawkes processes are only weakly causal: the true log-likelihoods of real and reversed event time vectors are almost equal, thus parameter estimation via maximum likelihood only weakly depends on the direction of the arrow of time. In ideal (synthetic) conditions, test…
ACI uses Bayesian data assimilation to trace causes from effects in complex systems.
New PEMs improve network inference from time-series data.
We introduce a framework to infer lead-lag networks between the states of elements of complex systems, determined at different timescales. As such networks encode the causal structure of a system, infering lead-lag networks for many pairs of timescales provides a global picture of the mutual influence between timescale…
New criteria distinguish cause from effect in data, overcoming statistical limitations.
Identification of causal direction between a causal-effect pair from observed data has recently attracted much attention. Various methods based on functional causal models have been proposed to solve this problem, by assuming the causal process satisfies some (structural) constraints and showing that the reverse direct…
Causal deep learning tackles causal inference using tensor factor analysis.
Cycles in causal learning cause feedback loops under intervention.
DDCD uses diffusion models to learn causal structures from noisy data.
Enhances RL in partially observable, noisy environments by uncovering causal states.
A new diffusion model encodes causal structures for better interventional sampling and edge inference.
This paper addresses the problem of inferring sparse causal networks modeled by multivariate auto-regressive (MAR) processes. Conditions are derived under which the Group Lasso (gLasso) procedure consistently estimates sparse network structure. The key condition involves a "false connection score." In particular, we sh…
Predictive rate-distortion analysis suffers from the curse of dimensionality: clustering arbitrarily long pasts to retain information about arbitrarily long futures requires resources that typically grow exponentially with length. The challenge is compounded for infinite-order Markov processes, since conditioning on fi…
ACI identifies cause-effect relationships and causal influence ranges in dynamical systems.
TRA detects causal direction from bivariate data using geometric shapes.
We develop a method to summarize causal models with cycles in cubic time.
Study compares employers with and without anticipating strategic labor force responses.
We give the details of the proof of the equality between the critical groups, with respect the H^1 and C^1 topology, at a non-degenerate critical point of the energy functional of a non-reversible Finsler manifold (M,F), defined on the Hilbert manifold of the H^1 curves connecting two given points on M.
Graphical models are popular statistical tools which are used to represent dependent or causal complex systems. Statistically equivalent causal or directed graphical models are said to belong to a Markov equivalent class. It is of great interest to describe and understand the space of such classes. However, with curren…
Given data over the joint distribution of two random variables and , we consider the problem of inferring the most likely causal direction between and . In particular, we consider the general case where both and may be univariate or multivariate, and of the same or mixed data types. We take an inf…
New method for robust financial portfolio analysis.
New loops found in universe's timeline, challenging traditional time direction.
We establish that over a C^{2,1} manifold the exponential map of any Lipschitz connection or spray determines a local Lipeomophism and that, furthermore, reversible convex normal neighborhoods do exist. To that end we use the method of Picard-Lindelof approximation to prove the strong differentiability of the exponenti…
Develops a new approach for algorithmic recourse in AI systems.
Inferring the causal structure of a set of random variables from a finite sample of the joint distribution is an important problem in science. Recently, methods using additive noise models have been suggested to approach the case of continuous variables. In many situations, however, the variables of interest are discre…
We present a non-parametric Bayesian approach to structure learning with hidden causes. Previous Bayesian treatments of this problem define a prior over the number of hidden causes and use algorithms such as reversible jump Markov chain Monte Carlo to move between solutions. In contrast, we assume that the number of hi…
It is usual to consider data protection and learnability as conflicting objectives. This is not always the case: we show how to jointly control inference --- seen as the attack --- and learnability by a noise-free process that mixes training examples, the Crossover Process (cp). One key point is that the cp~is typicall…
Classifies reversible and strongly reversible elements in quaternionic groups.
The paper classifies reversible and strongly reversible elements in Hermitian isometry groups.
We study the cross-correlation matrix of inventory variations of the most active individual and institutional investors in an emerging market to understand the dynamics of inventory variations. We find that the distribution of cross-correlation coefficient has a power-law form in the bulk followed by …
Scientific and business practices are increasingly resulting in large collections of randomized experiments. Analyzed together, these collections can tell us things that individual experiments in the collection cannot. We study how to learn causal relationships between variables from the kinds of collections faced by m…
This paper classifies reversible and strongly reversible elements in affine groups.
Develops Austen plots for assessing bias from unobserved confounding in observational studies.
New neural net learns time-reversible symplectic dynamics.
A new trading strategy using reinforcement learning for statistical arbitrage.
Algebraic method reveals criterion for quaternionic Möbius group reversibility.
Recent studies have shown that online portfolio selection strategies that exploit the mean reversion property can achieve excess return from equity markets. This paper empirically investigates the performance of state-of-the-art mean reversion strategies on real market data. The aims of the study are twofold. The first…
A Finsler space is said to be geodesically reversible if each oriented geodesic can be reparametrized as a geodesic with the reverse orientation. A reversible Finsler space is geodesically reversible, but the converse need not be true. In this note, building on recent work of LeBrun and Mason, it is shown that a geodes…
Market stability depends on a fundamental value anchor, not price crashes.
Sharp stability results for reverse isoperimetric inequalities in 2D.