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arXiv research

A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.

168,695 papers · 148 categories

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14284155 · Jun 202019922001200920172026
48 results for Same-cluster queries

Study exact partition recovery with same-cluster oracle, bounded error.

problem Exact recovery of partitions with same-cluster oracle in adversarial error.
method Novel connection to correlation clustering, Rényi-Ulam framework, upper and lower bounds, randomized algorithm analysis, adaptivity-query complexity study.
result Upper and lower bounds on worst-case query complexity, expected performance bounds of randomized algorithm.

We propose a framework for Semi-Supervised Active Clustering framework (SSAC), where the learner is allowed to interact with a domain expert, asking whether two given instances belong to the same cluster or not. We study the query and computational complexity of clustering in this framework. We consider a setting where…

2016-06-08abs ↗pdf ↗

Exact cluster recovery with same-cluster queries for arbitrary ellipsoidal clusters.

problem Recovering clusters from same-cluster queries in arbitrary ellipsoidal clusters.
method Relaxing spherical kk-means assumption to arbitrary ellipsoidal clusters, designing an algorithm with logarithmic query complexity.
result Exact recovery of clusters using O(k3lnklnn)O(k^3 \ln k \ln n) queries and ildeO(kn+k3) ilde{O}(kn + k^3) time.

Overlapping clusters are common in models of many practical data-segmentation applications. Suppose we are given nn elements to be clustered into kk possibly overlapping clusters, and an oracle that can interactively answer queries of the form "do elements uu and vv belong to the same cluster?" The goal is to recov…

2019-10-28abs ↗pdf ↗

Constraint-based clustering algorithms exploit background knowledge to construct clusterings that are aligned with the interests of a particular user. This background knowledge is often obtained by allowing the clustering system to pose pairwise queries to the user: should these two elements be in the same cluster or n…

2018-03-29abs ↗pdf ↗

Semi-supervised active clustering (SSAC) utilizes the knowledge of a domain expert to cluster data points by interactively making pairwise "same-cluster" queries. However, it is impractical to ask human oracles to answer every pairwise query. In this paper, we study the influence of allowing "not-sure" answers from a w…

2017-09-11abs ↗pdf ↗

We consider the problem of approximate KK-means clustering with outliers and side information provided by same-cluster queries and possibly noisy answers. Our solution shows that, under some mild assumptions on the smallest cluster size, one can obtain an (1+ε)(1+ε)-approximation for the optimal potential with probabilit…

2018-06-15abs ↗pdf ↗

New method recovers clusters in non-convex finite metric spaces with oracle queries.

problem Exact recovery of clusters in non-convex finite metric spaces.
method Introducing (β,γ)(β,γ)-convexity and a deterministic algorithm using oracle queries.
result Clusters can be recovered using O(k2logn+k2(6/βγ)dens(X))O(k^2 \log n + k^2 (6/βγ)^{dens(X)}) same-cluster queries.

Pairwise "same-cluster" queries are one of the most widely used forms of supervision in semi-supervised clustering. However, it is impractical to ask human oracles to answer every query correctly. In this paper, we study the influence of allowing "not-sure" answers from a weak oracle and propose an effective algorithm …

2017-11-20abs ↗pdf ↗

Suppose, we are given a set of nn elements to be clustered into kk (unknown) clusters, and an oracle/expert labeler that can interactively answer pair-wise queries of the form, "do two elements uu and vv belong to the same cluster?". The goal is to recover the optimum clustering by asking the minimum number of quer…

2017-06-23abs ↗pdf ↗

New algorithms recover clusters with minimal queries, connecting margins to recoverability.

problem Active cluster recovery with oracle queries for minimal cost.
method Introducing margin-based clustering, designing algorithms for various spaces.
result Achieve O(logn)O(\log n) queries for general pseudometric spaces and convex clusters.

In this paper, we initiate a rigorous theoretical study of clustering with noisy queries (or a faulty oracle). Given a set of nn elements, our goal is to recover the true clustering by asking minimum number of pairwise queries to an oracle. Oracle can answer queries of the form : "do elements uu and vv belong to the…

2017-06-22abs ↗pdf ↗

New algorithm for clustering with faulty oracle achieves optimal queries and efficiency.

problem Clustering with a faulty oracle, especially for multiple clusters.
method Built on stochastic block model, provides nearly-optimal query complexity.
result Time-efficient algorithm with nearly-optimal query complexity for all constant k and any δ.

Data de-duplication is the task of detecting multiple records that correspond to the same real-world entity in a database. In this work, we view de-duplication as a clustering problem where the goal is to put records corresponding to the same physical entity in the same cluster and putting records corresponding to diff…

2018-10-10abs ↗pdf ↗

We present a global optimization algorithm for clustering data given the ratio of likelihoods that each pair of data points is in the same cluster or in different clusters. To define a clustering solution in terms of pairwise relationships, a necessary and sufficient condition is that belonging to the same cluster sati…

2015-06-09abs ↗pdf ↗

Proposes a new query autocompletion method that maximizes retrieval performance.

problem Users often select suboptimal queries due to unknown best retrieval performance.
method Formulates query autocompletion as ranking item rankings, uses counterfactual learning.
result Empirical results show improved query suggestions for better retrieval performance.

In the present work we introduce a stochastic cellular automata model in order to simulate the dynamics of the stock market. A direct percolation method is used to create a hierarchy of clusters of active traders on a two dimensional grid. Active traders are characterised by the decision to buy, (+1), or sell, (-1), a …

2003-11-17abs ↗pdf ↗

Improved algorithm for clustered Federated Learning reduces initialization and hyperparameter requirements.

problem Dichotomy between heterogeneous models and simultaneous training in Federated Learning.
method Proposes a new clustering framework and an improved algorithm ( exttt{SR-FCA}) that removes restrictive assumptions.
result Improves clustering accuracy and removes the need for good initialization and hyperparameters.

We consider the problem of adaptively PAC-learning a probability distribution P\mathcal{P}'s mode by querying an oracle for information about a sequence of i.i.d. samples X1,X2,X_1, X_2, \ldots generated from P\mathcal{P}. We consider two different query models: (a) each query is an index ii for which the oracle reveals…

2019-11-19abs ↗pdf ↗

Query2box embeds complex queries as boxes to handle logical operations in large KGs.

problem Handling complex logical queries on large-scale incomplete knowledge graphs.
method Embed KG entities and queries into a vector space as boxes, handling conjunctions as intersections and disjunctions through Disjunctive Normal Form.
result Query2box achieves up to 25% relative improvement over state-of-the-art methods.

In this paper we study the adaptive learnability of decision trees of depth at most dd from membership queries. This has many applications in automated scientific discovery such as drugs development and software update problem. Feldman solves the problem in a randomized polynomial time algorithm that asks $\tilde O(2^…

2019-01-23abs ↗pdf ↗

We study black-box attacks on machine learning classifiers where each query to the model incurs some cost or risk of detection to the adversary. We focus explicitly on minimizing the number of queries as a major objective. Specifically, we consider the problem of attacking machine learning classifiers subject to a budg…

2017-12-23abs ↗pdf ↗

This paper models the crowdsourced labeling/classification problem as a sparsely encoded source coding problem, where each query answer, regarded as a code bit, is the XOR of a small number of labels, as source information bits. In this paper we leverage the connections between this problem and well-studied codes with …

2019-06-25abs ↗pdf ↗

In query learning, the goal is to identify an unknown object while minimizing the number of "yes" or "no" questions (queries) posed about that object. A well-studied algorithm for query learning is known as generalized binary search (GBS). We show that GBS is a greedy algorithm to optimize the expected number of querie…

2010-02-21abs ↗pdf ↗

We introduce new combinatorial quantities for concept classes, and prove lower and upper bounds for learning complexity in several models of query learning in terms of various combinatorial quantities. Our approach is flexible and powerful enough to enough to give new and very short proofs of the efficient learnability…

2019-04-23abs ↗pdf ↗

Understanding search queries is critical for shopping search engines to deliver a satisfying customer experience. Popular shopping search engines receive billions of unique queries yearly, each of which can depict any of hundreds of user preferences or intents. In order to get the right results to customers it must be …

2019-12-20abs ↗pdf ↗

We study the query complexity of Bayesian Private Learning: a learner wishes to locate a random target within an interval by submitting queries, in the presence of an adversary who observes all of her queries but not the responses. How many queries are necessary and sufficient in order for the learner to accurately est…

2019-11-15abs ↗pdf ↗

This work sets lower bounds on the number of score queries needed for diffusion sampling.

problem Establishing information-theoretic limits on the number of score evaluations required for diffusion sampling.
method Proving lower bounds on the number of adaptive score queries needed for sampling.
result Any sampling algorithm requires at least \(\widetilde{\Omega}(\sqrt{d})\) adaptive score queries for \(d\)-dimensional distributions.

Most content-based image retrieval systems consider either one single query, or multiple queries that include the same object or represent the same semantic information. In this paper we consider the content-based image retrieval problem for multiple query images corresponding to different image semantics. We propose a…

2014-02-21abs ↗pdf ↗

Improves model classification accuracy in black-box settings.

problem Difficulty in inferring model properties due to limited query access.
method Introduces discriminative factorization to distinguish high-quality queries.
result Probability of chance-level classification decreases exponentially with query budget.

Improved algorithm for selecting a hypothesis locally privately with fewer queries.

problem Locally private hypothesis selection with minimal privacy-preserving queries.
method Introduces a Scheffé graph to reduce query complexity for hypothesis selection.
result Algorithm performs O~(k3/2)\tilde{O}(k^{3/2}) queries, improving on previous methods.

Discrete integration in a high dimensional space of n variables poses fundamental challenges. The WISH algorithm reduces the intractable discrete integration problem into n optimization queries subject to randomized constraints, obtaining a constant approximation guarantee. The optimization queries are expensive, which…

2019-10-13abs ↗pdf ↗

Study learns linear utility functions from comparisons, showing learnability gaps between passive and active learning.

problem Learn linear utility functions from pairwise comparison queries.
method Analyzes passive and active learning settings, considering noise-free and noisy query responses.
result Efficient learnability of linear utilities in passive learning, but not for utility parameters without strong assumptions.