"""Epicure Explorer: chef-facing operators over the three sibling embeddings. Four tabs: - Basket pairings: pick 1+ ingredients, get neighbours and closest modes of the basket centroid. - Supervised SLERP: rotate a (possibly multi-ingredient) seed toward 1+ supervised poles. - Emergent SLERP: rotate a (possibly multi-ingredient) seed toward 1+ emergent factor modes. - Arithmetic: Mikolov-style 'positives - negatives' returning nearest neighbours. All three siblings (Cooc, Core, Chem) load on startup from public HF model repos. """ from __future__ import annotations import os import sys import numpy as np import gradio as gr # epicure.py is shipped alongside this app.py in the Space; fall back to HF if absent. try: from epicure import Epicure except ImportError: from huggingface_hub import hf_hub_download epicure_py = hf_hub_download("Kaikaku/epicure-cooc", "epicure.py") sys.path.insert(0, os.path.dirname(epicure_py)) from epicure import Epicure MODELS = { "cooc": Epicure.from_pretrained("Kaikaku/epicure-cooc"), "core": Epicure.from_pretrained("Kaikaku/epicure-core"), "chem": Epicure.from_pretrained("Kaikaku/epicure-chem"), } ALL_INGREDIENTS = sorted(MODELS["cooc"].vocab.keys()) def _unit(v: np.ndarray, eps: float = 1e-9) -> np.ndarray: n = np.linalg.norm(v) return v / max(n, eps) def _basket_centroid(m: Epicure, names: list[str]) -> np.ndarray: """L2-normalised mean of the unit vectors of the named ingredients.""" valid = [n for n in (names or []) if n in m.vocab] if not valid: return None idxs = [m.vocab[n] for n in valid] centroid = m.E[idxs].mean(axis=0) return _unit(centroid) def _stack_directions(m: Epicure, keys: list[str], use_factor_pole: bool = False) -> np.ndarray: """L2-normalised sum of the named supervised pole vectors (or factor mode poles).""" poles = [] for k in keys or []: if use_factor_pole: for mode in m.modes: if mode.mode_id == k: poles.append(_unit(mode.pole)) break else: if k in m.supervised_poles: poles.append(_unit(m.supervised_poles[k])) if not poles: return None return _unit(np.stack(poles, axis=0).sum(axis=0)) def _topk_from_query(m: Epicure, q: np.ndarray, k: int, exclude: list[str]) -> list[tuple[str, float]]: sims = m.E @ q for name in exclude or []: if name in m.vocab: sims[m.vocab[name]] = -np.inf order = np.argsort(-sims) return [(m.itos[int(i)], float(sims[i])) for i in order[:k]] def _supervised_choices(sibling: str) -> list[str]: return sorted(MODELS[sibling].supervised_poles.keys()) def _factor_mode_choices(sibling: str) -> list[tuple[str, str]]: return [ (f"{m.label} ({m.mode_id})", m.mode_id) for m in MODELS[sibling].modes if m.kind == "factor" ] # ===== Tab 1: Basket pairings ===== def basket_pairings(sibling: str, basket: list[str], k: int): m = MODELS[sibling] centroid = _basket_centroid(m, basket) if centroid is None: return [], [] nb = _topk_from_query(m, centroid, k=k, exclude=basket or []) # Closest modes to the basket centroid scored = [ (mode.mode_id, mode.label, mode.kind, float(_unit(mode.pole) @ centroid)) for mode in m.modes ] scored.sort(key=lambda x: -x[3]) return ( [[name, f"{sim:.4f}"] for name, sim in nb], [[mid, label, kind, f"{sim:.4f}"] for mid, label, kind, sim in scored[:k]], ) # ===== Tab 2: Supervised SLERP (multi-direction, multi-seed) ===== def supervised_slerp_multi(sibling: str, basket: list[str], directions: list[str], theta: float, k: int): m = MODELS[sibling] v = _basket_centroid(m, basket) d = _stack_directions(m, directions, use_factor_pole=False) if v is None or d is None: return [] # SLERP from v toward d d_perp = d - (d @ v) * v n_perp = np.linalg.norm(d_perp) if n_perp < 1e-9: return _topk_from_query(m, v, k=k, exclude=basket or []) d_perp = d_perp / n_perp theta_rad = np.deg2rad(float(theta)) q = _unit(np.cos(theta_rad) * v + np.sin(theta_rad) * d_perp) hits = _topk_from_query(m, q, k=k, exclude=basket or []) return [[name, f"{sim:.4f}"] for name, sim in hits] # ===== Tab 3: Emergent SLERP (multi-direction, multi-seed) ===== def emergent_slerp_multi(sibling: str, basket: list[str], mode_labels: list[str], theta: float, k: int): m = MODELS[sibling] # Resolve label strings back to mode_ids label_to_id = {f"{mode.label} ({mode.mode_id})": mode.mode_id for mode in m.modes if mode.kind == "factor"} mode_ids = [label_to_id[lab] for lab in (mode_labels or []) if lab in label_to_id] v = _basket_centroid(m, basket) d = _stack_directions(m, mode_ids, use_factor_pole=True) if v is None or d is None: return [] d_perp = d - (d @ v) * v n_perp = np.linalg.norm(d_perp) if n_perp < 1e-9: return [[n, f"{s:.4f}"] for n, s in _topk_from_query(m, v, k=k, exclude=basket or [])] d_perp = d_perp / n_perp theta_rad = np.deg2rad(float(theta)) q = _unit(np.cos(theta_rad) * v + np.sin(theta_rad) * d_perp) hits = _topk_from_query(m, q, k=k, exclude=basket or []) return [[name, f"{sim:.4f}"] for name, sim in hits] # ===== Tab 4: Mikolov arithmetic ===== def arithmetic(sibling: str, positives: list[str], negatives: list[str], k: int): m = MODELS[sibling] pos = _basket_centroid(m, positives) if pos is None: return [] neg = _basket_centroid(m, negatives) if negatives else None if neg is None: q = pos else: # pos - neg, then renormalise. This is the king - man + woman pattern reshaped: # the user supplies the 'positives' and 'negatives' sets directly. q = _unit(pos - neg) exclude = (positives or []) + (negatives or []) hits = _topk_from_query(m, q, k=k, exclude=exclude) return [[name, f"{sim:.4f}"] for name, sim in hits] # ===== UI ===== with gr.Blocks(title="Epicure Explorer") as demo: gr.Markdown( """# Epicure Explorer Chef-facing operators over the three Epicure sibling embeddings (Cooc, Core, Chem), from [arXiv:2605.22391](https://arxiv.org/abs/2605.22391). - **Cooc** walks recipe co-occurrence only. Neighbours are recipe companions. - **Core** blends typed FlavorDB compound walks with injected I-I walks. Concentrated geometry, tightest modes. - **Chem** walks typed FlavorDB compound metapaths only. Strongest supervised-direction recovery; neighbours are flavour-profile peers. """ ) sibling = gr.Radio(choices=["cooc", "core", "chem"], value="chem", label="Sibling embedding") # -------- Tab 1: Basket pairings -------- with gr.Tab("Basket pairings"): gr.Markdown( "Pick one or more ingredients. The tool averages their unit vectors and returns " "what is nearest to that centroid in the embedding. Useful for 'what should I add " "to the ingredients I already have?'" ) basket = gr.Dropdown( choices=ALL_INGREDIENTS, value=["chicken", "lemon", "garlic"], label="Ingredient basket (pick 1+)", multiselect=True, max_choices=10, ) k_pair = gr.Slider(1, 15, value=8, step=1, label="K") pair_btn = gr.Button("Find pairings", variant="primary") with gr.Row(): nb_table = gr.Dataframe( headers=["Neighbour", "Cosine"], label="Top-K nearest neighbours to basket centroid", interactive=False ) mode_table = gr.Dataframe( headers=["Mode id", "Label", "Kind", "Cosine"], label="Closest modes (factor + supervised)", interactive=False ) pair_btn.click(basket_pairings, inputs=[sibling, basket, k_pair], outputs=[nb_table, mode_table]) # -------- Tab 2: Supervised SLERP (multi) -------- with gr.Tab("Supervised SLERP"): gr.Markdown( "Rotate the (possibly multi-ingredient) seed toward one or more supervised direction poles. " "Multiple directions are summed and L2-normalised before rotation, matching the paper's " "'chicken + processed + Western_Atlantic' style multi-constraint queries." ) sup_basket = gr.Dropdown( choices=ALL_INGREDIENTS, value=["rice"], label="Seed basket (pick 1+)", multiselect=True, max_choices=10, ) sup_dirs = gr.Dropdown( choices=_supervised_choices("chem"), value=["cuisine:South_Asian"], label="Supervised directions (pick 1+; summed before rotation)", multiselect=True, max_choices=5, ) sup_theta = gr.Slider(0, 90, value=30, step=5, label="Rotation angle (deg)") sup_k = gr.Slider(1, 15, value=8, step=1, label="K") sup_btn = gr.Button("Rotate", variant="primary") sup_table = gr.Dataframe(headers=["Ingredient", "Cosine"], label="Top-K rotated-query neighbours") sup_btn.click( supervised_slerp_multi, inputs=[sibling, sup_basket, sup_dirs, sup_theta, sup_k], outputs=sup_table, ) sibling.change( lambda s: gr.Dropdown(choices=_supervised_choices(s), value=[]), inputs=sibling, outputs=sup_dirs, ) # -------- Tab 3: Emergent SLERP (multi) -------- with gr.Tab("Emergent SLERP"): gr.Markdown( "Rotate the seed basket toward one or more emergent factor-mode poles discovered " "by multi-seed-stable FastICA + GMM. Stack mode targets to combine culinary axes." ) em_basket = gr.Dropdown( choices=ALL_INGREDIENTS, value=["chocolate"], label="Seed basket (pick 1+)", multiselect=True, max_choices=10, ) factor_opts = _factor_mode_choices("chem") em_modes = gr.Dropdown( choices=[label for label, _ in factor_opts], value=[factor_opts[0][0]] if factor_opts else [], label="Factor modes (pick 1+; summed before rotation)", multiselect=True, max_choices=5, ) em_theta = gr.Slider(0, 90, value=30, step=5, label="Rotation angle (deg)") em_k = gr.Slider(1, 15, value=8, step=1, label="K") em_btn = gr.Button("Rotate", variant="primary") em_table = gr.Dataframe(headers=["Ingredient", "Cosine"], label="Top-K rotated-query neighbours") em_btn.click( emergent_slerp_multi, inputs=[sibling, em_basket, em_modes, em_theta, em_k], outputs=em_table, ) sibling.change( lambda s: gr.Dropdown(choices=[label for label, _ in _factor_mode_choices(s)], value=[]), inputs=sibling, outputs=em_modes, ) # -------- Tab 4: Mikolov arithmetic -------- with gr.Tab("Arithmetic"): gr.Markdown( "Classic Mikolov-style vector arithmetic: `centroid(positives) - centroid(negatives)`, " "then top-K nearest neighbours. Try `miso - salty` (no negative-set), or `chicken - " "Western + Asian` style queries (split your own intuition into positives and negatives)." ) pos_box = gr.Dropdown( choices=ALL_INGREDIENTS, value=["miso"], label="Positives (added)", multiselect=True, max_choices=10, ) neg_box = gr.Dropdown( choices=ALL_INGREDIENTS, value=[], label="Negatives (subtracted)", multiselect=True, max_choices=10, ) ar_k = gr.Slider(1, 15, value=8, step=1, label="K") ar_btn = gr.Button("Compute", variant="primary") ar_table = gr.Dataframe(headers=["Ingredient", "Cosine"], label="Top-K nearest to result vector") ar_btn.click(arithmetic, inputs=[sibling, pos_box, neg_box, ar_k], outputs=ar_table) gr.Markdown( """--- **Cite:** Radzikowski and Chen, 2026, *Epicure: Navigating the Emergent Geometry of Food Ingredient Embeddings*, [arXiv:2605.22391](https://arxiv.org/abs/2605.22391). Models: [epicure-cooc](https://huggingface.co/Kaikaku/epicure-cooc) | [epicure-core](https://huggingface.co/Kaikaku/epicure-core) | [epicure-chem](https://huggingface.co/Kaikaku/epicure-chem). Dataset: [epicure-corpus-resources](https://huggingface.co/datasets/Kaikaku/epicure-corpus-resources). """ ) if __name__ == "__main__": demo.launch()