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Failure-mode index

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A searchable index of real negative results, null findings, and replication failures from the published literature — so you can learn what didn't work before repeating it.

WASTE indexes published research — it does not host or republish full papers. Each entry is a metadata record (title, authors, DOI) compiled from open scholarly databases, with the abstract shown in full only where the paper is openly licensed (e.g. Creative Commons); otherwise a short excerpt is shown for reference under fair use. WASTE classifies each work by failure type; classifications are automated and approximate.

21720 results · page 362 of 724

Negative / Null Result ReportOpen accessMathematics

On negative results concerning Hardy means

Paweł Pasteczka · 2013 · arXiv

In the present paper we are going to prove some necessary condition for a mean to be Hardy. This condition is then applied to completely characterize the Hardy property among the Gini means.

Negative / Null Result ReportOpen accessMathematics

On negative results concerning weak-Hardy means

Paweł Pasteczka · 2021 · arXiv

We establish the test which allows to show that a mean does not admit a weak-Hardy property. As a result we prove that Hardy and weak-Hardy properties are equivalent in the class of homogeneous, symmetric, repetition invariant, and Jensen concave mean on $\mathbb{R}_+$. More precisely, for every mean $\mathscr{M} \colon \bigcup_{n=1}^\infty \mathbb{R}_+^n \to \mathbb{R}$ as above, the inequality $$\mathscr{M}(a_1)+\mathscr{M}(a_1,a_2)+\dots<\infty$$ holds for all $a \in \ell^1(\mathbb{R}_+)$ if and only if there exists a positive, real constant $C$ (depending only on $\mathscr{M}$) such that $

Negative / Null Result ReportOpen accessComputer Science

What killed the Convex Booster ?

Yishay Mansour, Richard Nock, Robert C. Williamson · 2022 · arXiv

A landmark negative result of Long and Servedio established a worst-case spectacular failure of a supervised learning trio (loss, algorithm, model) otherwise praised for its high precision machinery. Hundreds of papers followed up on the two suspected culprits: the loss (for being convex) and/or the algorithm (for fitting a classical boosting blueprint). Here, we call to the half-century+ founding theory of losses for class probability estimation (properness), an extension of Long and Servedio's results and a new general boosting algorithm to demonstrate that the real culprit in their specific

Negative / Null Result ReportOpen accessComputer Science

Demystifying Lipschitz verification: positive matrices, negative results

Simon Kuang, Yuezhu Xu, S. Sivaranjani et al. · 2026 · arXiv

The global Lipschitz constant of a neural network is related to robustness and generalization, yet unlike in many classical models, it is not plainly legible from the parameters. This has motivated sophisticated verification algorithms, especially semidefinite programming (SDP) based on incremental quadratic constraints on the activation functions, to improve on the fast but often loose product of layerwise Lipschitz constants (the trivial bound). We ask why Lipschitz verification is a problem in the first place. Our answer is that the difficulty is structural: estimating a network's Lipschitz

Negative / Null Result ReportOpen accessComputer Science

Surprising Negative Results for Generative Adversarial Tree Search

Kamyar Azizzadenesheli, Brandon Yang, Weitang Liu et al. · 2018 · arXiv

While many recent advances in deep reinforcement learning (RL) rely on model-free methods, model-based approaches remain an alluring prospect for their potential to exploit unsupervised data to learn environment model. In this work, we provide an extensive study on the design of deep generative models for RL environments and propose a sample efficient and robust method to learn the model of Atari environments. We deploy this model and propose generative adversarial tree search (GATS) a deep RL algorithm that learns the environment model and implements Monte Carlo tree search (MCTS) on the lear

Negative / Null Result ReportOpen accessMathematics

On the pitfalls of Gaussian likelihood scoring for causal discovery

Christoph Schultheiss, Peter Bühlmann · 2022 · arXiv

We consider likelihood score-based methods for causal discovery in structural causal models. In particular, we focus on Gaussian scoring and analyze the effect of model misspecification in terms of non-Gaussian error distribution. We present a surprising negative result for Gaussian likelihood scoring in combination with nonparametric regression methods.

Failed Experiment ReportOpen accessComputer Science

Bohm's "quantum potential" can be considered falsified by experiment

Antoine Suarez · 2014 · arXiv

A Michelson-Morley-type experiment is described, which exploits two-photon interference between entangled photons instead of classical light interference. In this experimental context, the negative result (no shift in the detection rates) rules out David Bohm's postulate of an infinite-speed time-ordered "quantum potential", and thereby upholds the timeless standard quantum collapse.

Failed Experiment ReportOpen accessMathematics

Forcing axiom failure for any lambda>aleph_1

Saharon Shelah · 2001 · arXiv

David Aspero asks on the possibility of having Forcing axiom FA_{aleph_2}(K), where K is the class of forcing notions preserving stationarity of subsets of aleph_1 and of aleph_2. We answer negatively, in fact we show the negative result for any regular lambda>aleph_1 even demanding adding no new sequence of ordinals of length<lambda.

Negative / Null Result ReportOpen accessPhysics

The existence of a quantum phase transition in a Hubbard model on a square lattice

Valentin Voroshilov · 2014 · arXiv

A novel canonical transformation is offered as the mean for studying properties of a system of strongly correlated electrons. As an example of the utility of the transformation, it is used to demonstrate the existence of a quantum phase transition in a Hubbard model on a square lattice. An Appendix presents two cases with a negative result.

Negative / Null Result ReportOpen accessMathematics

Free infinite divisibility for beta distributions and related ones

Takahiro Hasebe · 2013 · arXiv

We prove that many of beta, beta prime, gamma, inverse gamma, Student t- and ultraspherical distributions are freely infinitely divisible, but some of them are not. The latter negative result follows from a local property of probability density functions. Moreover, we show that the Gaussian, ultraspherical and many of Student t-distributions have free divisibility indicator 1.

Negative / Null Result ReportOpen accessComputer Science

New Protocols and Negative Results for Textual Entailment Data Collection

Samuel R. Bowman, Jennimaria Palomaki, Livio Baldini Soares et al. · 2020 · arXiv

Natural language inference (NLI) data has proven useful in benchmarking and, especially, as pretraining data for tasks requiring language understanding. However, the crowdsourcing protocol that was used to collect this data has known issues and was not explicitly optimized for either of these purposes, so it is likely far from ideal. We propose four alternative protocols, each aimed at improving either the ease with which annotators can produce sound training examples or the quality and diversity of those examples. Using these alternatives and a fifth baseline protocol, we collect and compare

Failed Experiment ReportOpen accessMathematics

Positive and negative results concerning the Gromov-Lawson-Rosenberg conjecture

Michael Joachim, Thomas Schick · 1999 · arXiv

The Gromov-Lawson-Rosenberg-conjecture for a group G states that a closed spin manifold M^n (n>4) with fundamental group G admits a metric with positive scalar curvature if and only if its C^*-index A(M) in KO_n(C^*_r(G)) vanishes. We prove this for groups G with low-dimensional classifying space, provided the assembly map for G is injective. On the other hand, we construct a spin manifold with no metric with scal>0 but so that already its KO-orientation in KO_*(B pi_1(M)) vanishes. Therefore a corresponding weakened version or the GLR-conjecture is wrong. Last we address non-orientable manifo

Negative / Null Result ReportOpen accessComputer Science

Beyond Eikonal Scattering in M(atrix)-Theory

Robert Helling · 2000 · arXiv

We study the problem of more general kinematics for the finite N M(atrix)-Model than the simple straight line motion that has been used before. This is supposed to be related to momentum transferring processes in the dual super-gravity description. We find a negative result for classical, perturbative processes and discuss briefly the possibility of instianton like quantum mechanical tunneling processes.

Negative / Null Result ReportOpen accessComputer Science

The Impossibility of Parallelizing Boosting

Amin Karbasi, Kasper Green Larsen · 2023 · arXiv

The aim of boosting is to convert a sequence of weak learners into a strong learner. At their heart, these methods are fully sequential. In this paper, we investigate the possibility of parallelizing boosting. Our main contribution is a strong negative result, implying that significant parallelization of boosting requires an exponential blow-up in the total computing resources needed for training.

Failed Experiment ReportOpen accessComputer Science

Branes vs. GUTS: challenges for string inspired phenomenology

David Berenstein · 2006 · arXiv

This paper studies the compatibility of having a grand unification scheme for particle physics, while at the same time having a perturbative string theory description of such a scheme on a D-brane. This is studied in a model independent approach and finds a negative result. Some additional observations related to model building on branes are made.

Negative / Null Result ReportOpen accessComputer Science

On the Complexity of SHAP-Score-Based Explanations: Tractability via Knowledge Compilation and Non-Approximability Results

Marcelo Arenas, Pablo Barceló, Leopoldo Bertossi et al. · 2021 · arXiv

In Machine Learning, the $\mathsf{SHAP}$-score is a version of the Shapley value that is used to explain the result of a learned model on a specific entity by assigning a score to every feature. While in general computing Shapley values is an intractable problem, we prove a strong positive result stating that the $\mathsf{SHAP}$-score can be computed in polynomial time over deterministic and decomposable Boolean circuits. Such circuits are studied in the field of Knowledge Compilation and generalize a wide range of Boolean circuits and binary decision diagrams classes, including binary decisio

Negative / Null Result ReportOpen accessMathematics

Internal controllability of non-localized solution for the Kodomtsev-Petviashvili II equation

Chenmin Sun, Ivonne Rivas · 2017 · arXiv

The internal control problem for the Kadomstev-Petviashvili II equation, known as KP-II, is the object of study in this paper. The controllability in $L^2(T)$ from vertical strip is proved using the Hilbert Unique Method through the techniques of semiclassical and microlocal analysis. Additionally, a negative result for the controllability in $L^2(T)$ from horizontal strip is also showed.

Negative / Null Result ReportOpen accessMathematics

Some negative results related to Poissonian pair correlation problems

Gerhard Larcher, Wolfgang Stockinger · 2018 · arXiv

We say that a sequence $(x_n)_{n \in \mathbb{N}}$ in $[0,1)$ has Poissonian pair correlations if \begin{equation*} \lim_{N \to \infty} \frac{1}{N} \# \left \lbrace 1 \leq l \neq m \leq N: \| x_l - x_m \| \leq \frac{s}{N} \right \rbrace = 2s \end{equation*} for every $s \geq 0$. The aim of this article is twofold. First, we will establish a gap theorem which allows to deduce that a sequence $(x_n)_{n \in \mathbb{N}}$ of real numbers in $[0,1)$ having a certain weak gap structure, cannot have Poissonian pair correlations. This result covers a broad class of sequences, e.g., Kronecker sequences,

Negative / Null Result ReportOpen accessMathematics

Non null controllability of Stokes equations with memory

Enrique Fernández-Cara, José Lucas F. Machado, Diego A. Souza · 2018 · arXiv

In this paper, we study the null controllability of the three-dimensional Stokes equations with a memory term. For any positive final time $T>0$, we construct initial conditions such that the null controllability does not hold even if the controls act on the whole boundary. Moreover, we also prove that this negative result holds for distributed controls.

Negative / Null Result ReportOpen accessComputer Science

Computational limits to nonparametric estimation for ergodic processes

Hayato Takahashi · 2010 · arXiv

A new negative result for nonparametric estimation of binary ergodic processes is shown. I The problem of estimation of distribution with any degree of accuracy is studied. Then it is shown that for any countable class of estimators there is a zero-entropy binary ergodic process that is inconsistent with the class of estimators. Our result is different from other negative results for universal forecasting scheme of ergodic processes.

Failed Experiment ReportOpen accessPhysics

Deterministic nonlinear quantum evolution. Experimental verification

A. Yu. Samarin · 2017 · arXiv

It is described a nonlocal interaction between entangled quantum objects, which is initiated by a process different from the reduction of the wave function. The scheme of an experiment realizing a deterministic nonlocal quantum evolution is proposed. In the case of the negative result of the experiment, the universal character of the integral wave equation with a kernel in the form of a path integral is questionable, otherwise faster-then-light communication is possible

Negative / Null Result ReportOpen accessMathematics

Convexity of distinct sum sets

Alexander Lemmens · 2018 · arXiv

We study a combinatorial notion where given a set of lattice points one takes the set of all sums of subsets of a fixed size, and we ask if the given set comes from a convex lattice polytope whether the resulting set also comes from a convex lattice polytope. We obtain a positive result in dimension 2 and a negative result in higher dimensions. We apply this to the corner cut polyhedron.

Negative / Null Result ReportOpen accessComputer Science

Alternating Tree Automata with Qualitative Semantics

Raphaël Berthon, Nathanaël Fijalkow, Emmanuel Filiot et al. · 2020 · arXiv

We study alternating automata with qualitative semantics over infinite binary trees: alternation means that two opposing players construct a decoration of the input tree called a run, and the qualitative semantics says that a run of the automaton is accepting if almost all branches of the run are accepting. In this paper we prove a positive and a negative result for the emptiness problem of alternating automata with qualitative semantics. The positive result is the decidability of the emptiness problem for the case of Büchi acceptance condition. An interesting aspect of our approach is that we

Negative / Null Result ReportOpen accessMathematics

Stabilizability of first-order dynamics in second-order systems

Matthew D. Kvalheim · 2026 · arXiv

We study whether second-order systems can be made to behave like prescribed first-order dynamical systems through feedback control. More precisely, we study whether prescribed vector fields on compact smooth manifolds, viewed geometrically as sections of the tangent bundle, can be asymptotically stabilized in a strong sense by second-order control systems on the base manifold. Our class of second-order systems includes most Lagrangian systems, and we obtain both positive and negative results. The positive result asserts that, for fully actuated systems, the section corresponding to any smooth

Negative / Null Result ReportOpen accessMathematics

Eigenvector Method and rank reversal in group decision making revisited

László Csató · 2017 · arXiv

It has been shown recently that the Eigenvector Method may lead to strong rank reversal in group decision making, that is, the alternative with the highest priority according to all individual vectors may lose its position when evaluations are derived from the aggregated group comparison matrix. We give a minimal counterexample and prove that this negative result is a consequence of the difference of the rankings induced by the right and inverse left eigenvectors.

Negative / Null Result ReportOpen accessComputer Science

Differentially Private Medians and Interior Points for Non-Pathological Data

Maryam Aliakbarpour, Rose Silver, Thomas Steinke et al. · 2023 · arXiv

We construct differentially private estimators with low sample complexity that estimate the median of an arbitrary distribution over $\mathbb{R}$ satisfying very mild moment conditions. Our result stands in contrast to the surprising negative result of Bun et al. (FOCS 2015) that showed there is no differentially private estimator with any finite sample complexity that returns any non-trivial approximation to the median of an arbitrary distribution.

Negative / Null Result ReportOpen accessComputer Science

Some limits to nonparametric estimation for ergodic processes

Hayato Takahashi · 2011 · arXiv

A new negative result for nonparametric distribution estimation of binary ergodic processes is shown. The problem of estimation of distribution with any degree of accuracy is studied. Then it is shown that for any countable class of estimators there is a zero-entropy binary ergodic process that is inconsistent with the class of estimators. Our result is different from other negative results for universal forecasting scheme of ergodic processes. We also introduce a related result by B. Weiss.

Negative / Null Result ReportOpen accessMathematics

A Quest for Convergence: Exploring Series in Non-Linear Environments

Geivison Ribeiro · 2024 · arXiv

This note presents an extension of a result within the concept of [S]-lineability, originally developed in 2019 by L. Bernal-González, J.A. Conejero, M. Murillo-Arcila, and J.B. Seoane-Sepúlveda . Additionally, we provide a characterization in terms of lineability in the context of complements of unions of closed subspaces in F-spaces, and finally, we present a negative result in both normed spaces and p-Banach spaces. These findings contribute to the understanding of linearity in exotic settings in topological vector spaces.

Negative / Null Result ReportOpen accessComputer Science

Intrinsic universality in tile self-assembly requires cooperation

Pierre-Étienne Meunier, Matthew J. Patitz, Scott M. Summers et al. · 2013 · arXiv

We prove a negative result on the power of a model of algorithmic self-assembly for which it has been notoriously difficult to find general techniques and results. Specifically, we prove that Winfree's abstract Tile Assembly Model, when restricted to use noncooperative tile binding, is not intrinsically universal. This stands in stark contrast to the recent result that, via cooperative binding, the abstract Tile Assembly Model is indeed intrinsically universal. Noncooperative self-assembly, also known as "temperature 1", is where tiles bind to each other if they match on one or more sides, whe