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Nihat Ay

dblp:77/240 · DBLP profile ↗
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20ranked-venue papers
6as first author
5since 2021 · last 2026
0000-0002-8527-2579ORCID · corroborated

Domains — the database's venue-derived domains; a paper can count in several

Artificial intelligence and machine learning · 16 · 4 first-author · 4 since 2021Theory of computation · 2 · 2 first-authorApplied, interdisciplinary, general and emerging computing · 2 · 1 since 2021Software engineering, systems software and programming languages · 1 · 1 since 2021

Expertise — from the expertise taxonomy: the topics of the expert's papers under the CCF categories. A weight counts papers with recency: 1 for a paper about the topic, 0.3 when the topic is its context, halved every five years.

Artificial intelligence
3 papers
Probabilistic and Bayesian machine learning · 76% Optimization for machine learning · 19% Graph learning · 3%
Theoretical computer science
2 papers
Computational complexity · 62% Information theory · 38%

Topics — the 12 heaviest of 14, each with the papers that count most for it

TopicWeightPapersLastEvidence papers
Machine learning › Probabilistic and Bayesian machine learning › probabilistic inference › approximate inference › variational inference › variational objective
evidence lower bound
0.912025
On the Natural Gradient of the Evidence Lower Bound · J. Mach. Learn. Res. 2025
Machine learning › Probabilistic and Bayesian machine learning
information geometry
0.912025
On the Natural Gradient of the Evidence Lower Bound · J. Mach. Learn. Res. 2025
Machine learning › Optimization for machine learning › gradient-based optimization › gradient descent
natural gradient descent
0.912025
On the Natural Gradient of the Evidence Lower Bound · J. Mach. Learn. Res. 2025
Machine learning › Probabilistic and Bayesian machine learning › probabilistic inference › approximate inference
variational inference
0.912025
On the Natural Gradient of the Evidence Lower Bound · J. Mach. Learn. Res. 2025
Machine learning › Probabilistic and Bayesian machine learning › structured models
graphical models
0.322015
Geometry and expressive power of conditional restricted Boltzmann machines · J. Mach. Learn. Res. 2015
Expressive Power and Approximation Errors of Restricted Boltzmann Machines · NIPS 2011
Machine learning › Probabilistic and Bayesian machine learning › boltzmann machine
restricted boltzmann machine
0.322015
Geometry and expressive power of conditional restricted Boltzmann machines · J. Mach. Learn. Res. 2015
Expressive Power and Approximation Errors of Restricted Boltzmann Machines · NIPS 2011
Machine learning › Probabilistic and Bayesian machine learning › boltzmann machine › restricted boltzmann machine
conditional restricted boltzmann machines
0.212015
Geometry and expressive power of conditional restricted Boltzmann machines · J. Mach. Learn. Res. 2015
Computational complexity › descriptive complexity
expressive power
0.212015
Geometry and expressive power of conditional restricted Boltzmann machines · J. Mach. Learn. Res. 2015
Machine learning › Graph learning › graph neural network
expressive power
0.112011
Expressive Power and Approximation Errors of Restricted Boltzmann Machines · NIPS 2011
Information theory
algorithmic information theory
0.112010
Effective complexity and its relation to logical depth · IEEE Trans. Inf. Theory 2010
Information theory › algorithmic information theory
algorithmic statistics
0.112010
Effective complexity and its relation to logical depth · IEEE Trans. Inf. Theory 2010
Computational complexity
kolmogorov complexity
0.112010
Effective complexity and its relation to logical depth · IEEE Trans. Inf. Theory 2010

Methods — techniques the papers use, named apart from their topics

kullback-leibler divergence · 1.0natural gradient · 0.9algorithmic information theory · 0.1
YearPublicationVenuePosition
2026 KiMeKo: A Collaborative AI Platform for Medical Device Development
abstract
KiMeKo (KI-Med-Kollaborationsplattform) is a publically funded collaborative research project that develops a sustainable AI-Med ecosystem for AI-based medical device development. The project runs from July 2024 to December 2027 and joins seven Northern German research institutions. KiMeKo addresses the complete development trajectory, from concept and data acquisition to validation, regulatory evidence generation, and approval-oriented documentation. The project contributes a practical toolchain and platform capabilities for non-experts and experts, including structured innovation support, uncertaintyaware sensor-data fusion, hybrid expert-system modeling, and workflow-guided data acquisition and anonymization. This paper summarizes project objectives, expected outputs, relevance to IEEE COMPSAC 2026 themes, and current progress. In particular, KiMeKo aligns with Applied AI and Smart & Connected Health by combining AI engineering, privacy-conscious data processing, and regulation-aware medical software development.
Serge Autexier, Nihat Ay, Stefan Fischer 0001, Lars Kaderali, Thomas Kirste, Martin Leucker, Christoph Lüth, Thomas Martinetz, Philipp Rostalski, Alexander Schlaefer, Frank Ückert
COMPSAC2
2025 On the Natural Gradient of the Evidence Lower Bound
abstract
This article studies the Fisher-Rao gradient, also referred to as the natural gradient, of the evidence lower bound (ELBO) which plays a central role in generative machine learning. It reveals that the gap between the evidence and its lower bound, the ELBO, has essentially a vanishing natural gradient within unconstrained optimization. As a result, maximization of the ELBO is equivalent to minimization of the Kullback-Leibler divergence from a target distribution, the primary objective function of learning. Building on this insight, we derive a condition under which this equivalence persists even when optimization is constrained to a model. This condition yields a geometric characterization, which we formalize through the notion of a cylindrical model.
Nihat Ay, Jesse van Oostrum, Adwait Datar
J. Mach. Learn. Res.1
2024 Outsourcing Control Requires Control Complexity
abstract
An embodied agent influences its environment and is influenced by it. We use the sensorimotor loop to model these interactions and quantify the information flows in the system by information-theoretic measures. This includes a measure for the interaction among the agent's body and its environment, often referred to as morphological computation. Additionally, we examine the controller complexity, which can be seen in the context of the integrated information theory of consciousness. Applying this framework to an experimental setting with simulated agents allows us to analyze the interaction between an agent and its environment, as well as the complexity of its controller. Previous research revealed that a morphology adapted well to a task can substantially reduce the required complexity of the controller. In this work, we observe that the agents first have to understand the relevant dynamics of the environment to interact well with their surroundings. Hence an increased controller complexity can facilitate a better interaction between an agent's body and its environment.
Carlotta Langer, Nihat Ay
Artif. Life2
2024 Inversion of Bayesian networks
abstract
Variational autoencoders and Helmholtz machines use a recognition network (encoder) to approximate the posterior distribution of a generative model (decoder). In this paper we establish some necessary and some sufficient properties of a recognition network so that it can model the true posterior distribution exactly. These results are derived in the general context of probabilistic graphical modelling / Bayesian networks, for which the network represents a set of conditional independence statements. We derive both global conditions, in terms of d-separation, and local conditions for the recognition network to have the desired qualities. It turns out that for the local conditions the perfectness property (for every node, all parents are joined) plays an important role.
Jesse van Oostrum, Peter van Hintum, Nihat Ay
Int. J. Approx. Reason.3
2022 Natural Reweighted Wake-Sleep
Csongor Várady, Riccardo Volpi, Luigi Malagò, Nihat Ay
Neural Networks4
2015 Geometry and expressive power of conditional restricted Boltzmann machines
Guido Montúfar, Nihat Ay, Keyan Zahedi
J. Mach. Learn. Res.2
2015 A Theory of Cheap Control in Embodied Systems
abstract
We present a framework for designing cheap control architectures of embodied agents. Our derivation is guided by the classical problem of universal approximation, whereby we explore the possibility of exploiting the agent's embodiment for a new and more efficient universal approximation of behaviors generated by sensorimotor control. This embodied universal approximation is compared with the classical non-embodied universal approximation. To exemplify our approach, we present a detailed quantitative case study for policy models defined in terms of conditional restricted Boltzmann machines. In contrast to non-embodied universal approximation, which requires an exponential number of parameters, in the embodied setting we are able to generate all possible behaviors with a drastically smaller model, thus obtaining cheap universal approximation. We test and corroborate the theory experimentally with a six-legged walking machine. The experiments indicate that the controller complexity predicted by our theory is close to the minimal sufficient value, which means that the theory has direct practical implications.
Guido Montúfar, Keyan Zahedi, Nihat Ay
PLoS Comput. Biol.3
2011 Expressive Power and Approximation Errors of Restricted Boltzmann Machines
abstract
We present explicit classes of probability distributions that can be learned by Restricted Boltzmann Machines (RBMs) depending on the number of units that they contain, and which are representative for the expressive power of the model. We use this to show that the maximal Kullback-Leibler divergence to the RBM model with n visible and m hidden units is bounded from above by (n-1)-log(m+1). In this way we can specify the number of hidden units that guarantees a sufficiently rich model containing different classes of distributions and respecting a given error tolerance.
Guido Montúfar, Johannes Rauh, Nihat Ay
NIPS3
2011 Support sets in exponential families and oriented matroid theory
Johannes Rauh, Thomas Kahle, Nihat Ay
Int. J. Approx. Reason.3
2011 Refinements of Universal Approximation Results for Deep Belief Networks and Restricted Boltzmann Machines
abstract
We improve recently published results about resources of restricted Boltzmann machines (RBM) and deep belief networks (DBN)required to make them universal approximators. We show that any distribution pon the set {0,1}(n) of binary vectors of length n can be arbitrarily well approximated by an RBM with k-1 hidden units, where k is the minimal number of pairs of binary vectors differing in only one entry such that their union contains the support set of p. In important cases this number is half the cardinality of the support set of p (given in Le Roux & Bengio, 2008). We construct a DBN with 2n/ 2(n-b) , b ∼ log n, hidden layers of width n that is capable of approximating any distribution on {0,1}(n) arbitrarily well. This confirms a conjecture presented in Le Roux and Bengio (2010).
Guido Montúfar, Nihat Ay
Neural Comput.2
2010 Effective complexity and its relation to logical depth
abstract
Effective complexity measures the information content of the regularities of an object. It has been introduced by Gell-Mann and Lloyd to avoid some of the disadvantages of Kolmogorov complexity. In this paper, we derive a precise definition of effective complexity in terms of algorithmic information theory. We analyze rigorously its basic properties such as effective simplicity of incompressible binary strings and existence of strings that have effective complexity close to their lengths. Since some of the results have appeared independently in the context of algorithmic statistics by Gács , we discuss the relation of effective complexity to the corresponding complexity measures, in particular to Kolmogorov minimal sufficient statistics. As our main new result we show a remarkable relation between effective complexity and Bennett's logical depth: If the effective complexity of a stringxexceeds a certain explicit threshold then that string must have astronomically large depth; otherwise, the depth can be arbitrarily small.
Nihat Ay, Arleta Szkola
IEEE Trans. Inf. Theory1
2009 A refinement of the common cause principle
Nihat Ay
Discret. Appl. Math.1
2008 Predictive information and emergent cooperativity in a chain of mobile robots
Ralf Der, Frank Güttler, Nihat Ay
ALIFE3
2006 A temporal learning rule in recurrent systems supports high spatio-temporal stochastic interactions
Thomas Wennekers, Nihat Ay
Neurocomputing2
2005 Stochastic interaction in associative nets
Thomas Wennekers, Nihat Ay
Neurocomputing2
2005 Finite State Automata Resulting from Temporal Information Maximization and a Temporal Learning Rule
abstract
We extend Linkser's Infomax principle for feedforward neural networks to a measure for stochastic interdependence that captures spatial and temporal signal properties in recurrent systems. This measure, stochastic interaction, quantifies the Kullback-Leibler divergence of a Markov chain from a product of split chains for the single unit processes. For unconstrained Markov chains, the maximization of stochastic interaction, also called Temporal Infomax, has been previously shown to result in almost deterministic dynamics. This letter considers Temporal Infomax on constrained Markov chains, where some of the units are clamped to prescribed stochastic processes providing input to the system. Temporal Infomax in that case leads to finite state automata, either completely deterministic or weakly nondeterministic. Transitions between internal states of these systems are almost perfectly predictable given the complete current state and the input, but the activity of each single unit alone is virtually random. The results are demonstrated by means of computer simulations and confirmed analytically. It is furthermore shown numerically that Temporal Infomax leads to a high information flow from the input to internal units and that a simple temporal learning rule can approximately achieve the optimization of temporal interaction. We relate these results to experimental data concerning the correlation dynamics and functional connectivities observed in multiple electrode recordings.
Thomas Wennekers, Nihat Ay
Neural Comput.2
2003 Temporal infomax leads to almost deterministic dynamical systems
Nihat Ay, Thomas Wennekers
Neurocomputing1
2003 Temporal Infomax on Markov chains with input leads to finite state automata
Thomas Wennekers, Nihat Ay
Neurocomputing2
2003 Dynamical properties of strongly interacting Markov chains
Nihat Ay, Thomas Wennekers
Neural Networks1
2002 Locality of Global Stochastic Interaction in Directed Acyclic Networks
abstract
The hypothesis of invariant maximization of interaction (IMI) is formulated within the setting of random fields. According to this hypothesis, learning processes maximize the stochastic interaction of the neurons subject to constraints. We consider the extrinsic constraint in terms of a fixed input distribution on the periphery of the network. Our main intrinsic constraint is given by a directed acyclic network structure. First mathematical results about the strong relation of the local information flow and the global interaction are stated in order to investigate the possibility of controlling IMI optimization in a completely local way. Furthermore, we discuss some relations of this approach to the optimization according to Linsker's Infomax principle.
Nihat Ay
Neural Comput.1