"""Manifold explainer 4 — Feedback / training, two modes contrasted. Training reshapes the mapping, seen as a landscape (the loss / mapping surface projected to 2-D). Manifold offers two feedback modes: * GeometricDislike -- you have a liked region; a thumbs-down carves the current point directionally AWAY from the liked centroid. * ExploreAndPlace -- (RECOMMENDED DEFAULT) randomise the net, audition, "I like that", drop it in a corner, randomise again, place another, then interpolate between the placed anchors. Positive-only. Coordinated with docs/redesign/rl-feedback-design.md. Render: manim -qh s4_feedback.py GeometricDislike ExploreAndPlace FeedbackContrast """ from manim import * BG = "#1C1C1C" PRIMARY = "#58C4DD" LIKE = "#83C167" # liked / positive DISLIKE = "#FF6B6B" # disliked / push-away ACCENT = "#FFFF00" ANCHOR = "#83C167" MONO = "Monospace" def control_pad(side=3.2, shift=ORIGIN, colour=PRIMARY): """A 2-D control space (the input plane the mapping lives over).""" pad = Square(side_length=side, color=colour, stroke_width=4) pad.set_fill(colour, opacity=0.05).move_to(shift) grid = VGroup() bl = pad.get_corner(DL) for f in (0.25, 0.5, 0.75): grid.add(Line(bl + RIGHT * f * side, bl + RIGHT * f * side + UP * side, color=colour, stroke_width=1).set_opacity(0.15)) grid.add(Line(bl + UP * f * side, bl + UP * f * side + RIGHT * side, color=colour, stroke_width=1).set_opacity(0.15)) return pad, grid class GeometricDislike(Scene): def construct(self): self.camera.background_color = BG title = Text("Geometric dislike", font_size=42, color=DISLIKE, weight=BOLD, font=MONO).to_edge(UP, buff=0.4) sub = Text("push the sound away from what you like", font_size=24, color=WHITE, font=MONO).next_to(title, DOWN, buff=0.25) self.play(Write(title), run_time=1.2) self.play(FadeIn(sub), run_time=0.7) self.wait(0.8) pad, grid = control_pad(3.4, LEFT * 3.0 + DOWN * 0.3) self.play(Create(pad), Create(grid), run_time=1.0) # a few liked points + their centroid liked_pts = [LEFT * 3.8 + DOWN * 0.9, LEFT * 2.5 + UP * 0.3, LEFT * 3.2 + UP * 0.6] likes = VGroup(*[Dot(p, radius=0.11, color=LIKE) for p in liked_pts]) like_lab = Text("liked region", font_size=20, color=LIKE, font=MONO) like_lab.next_to(pad, DOWN, buff=0.3) self.play(LaggedStart(*[GrowFromCenter(d) for d in likes], lag_ratio=0.3), FadeIn(like_lab), run_time=1.2) centroid_pos = np.mean(np.array(liked_pts), axis=0) centroid = Dot(centroid_pos, radius=0.09, color=LIKE).set_opacity(0.6) cring = Circle(radius=0.22, color=LIKE, stroke_width=2).move_to( centroid_pos).set_opacity(0.6) c_lab = Text("centre", font_size=16, color=LIKE, font=MONO).next_to( cring, UP, buff=0.1) self.play(FadeIn(centroid), Create(cring), FadeIn(c_lab), run_time=0.8) self.wait(0.8) # the current (heard) point + thumbs-down cur = Dot(LEFT * 1.9 + DOWN * 1.0, radius=0.13, color=ACCENT) cur_lab = Text("current sound", font_size=18, color=ACCENT, font=MONO).next_to( cur, RIGHT, buff=0.15) self.play(GrowFromCenter(cur), FadeIn(cur_lab), run_time=0.8) self.wait(0.5) down = Text("thumbs-down", font_size=26, color=DISLIKE, font=MONO).to_edge( DOWN, buff=0.5) self.play(FadeIn(down), Flash(cur, color=DISLIKE, line_length=0.3), run_time=0.9) self.wait(0.4) # the push vector: directed AWAY from the centroid (cur - centroid) direction = cur.get_center() - centroid_pos direction = direction / np.linalg.norm(direction) target = cur.get_center() + direction * 1.5 push = Arrow(cur.get_center(), target, color=DISLIKE, stroke_width=6, buff=0.0) self.play(GrowArrow(push), run_time=1.0) self.wait(0.4) self.play(cur.animate.move_to(target), cur_lab.animate.next_to(target, RIGHT, buff=0.15), run_time=1.4, rate_func=smooth) self.play(FadeOut(push), run_time=0.4) self.wait(0.5) note = Text("directed repulsion: away from the centre, not random", font_size=22, color=WHITE, font=MONO).to_edge(DOWN, buff=0.5) self.play(ReplacementTransform(down, note), run_time=0.7) self.wait(1.8) self.play(FadeOut(Group(*self.mobjects)), run_time=0.6) self.wait(0.3) class ExploreAndPlace(Scene): def construct(self): self.camera.background_color = BG title = Text("Explore and place", font_size=42, color=LIKE, weight=BOLD, font=MONO).to_edge(UP, buff=0.4) tag = Text("recommended default", font_size=18, color=ACCENT, font=MONO).next_to(title, RIGHT, buff=0.4) sub = Text("randomise -> audition -> place -> interpolate", font_size=24, color=WHITE, font=MONO).next_to(title, DOWN, buff=0.25) self.play(Write(title), FadeIn(tag), run_time=1.2) self.play(FadeIn(sub), run_time=0.7) self.wait(0.8) pad, grid = control_pad(3.6, LEFT * 3.0 + DOWN * 0.3) self.play(Create(pad), Create(grid), run_time=1.0) # the scratchpad readout (audition meter) on the right meter_lab = Text("audition", font_size=22, color=PRIMARY, font=MONO) meter_lab.shift(RIGHT * 3.3 + UP * 2.0) bar_bg = Rectangle(width=2.4, height=0.5, color=PRIMARY, stroke_width=3) bar_bg.next_to(meter_lab, DOWN, buff=0.3) self.play(FadeIn(meter_lab), Create(bar_bg), run_time=0.8) def audition_bar(frac, colour=ACCENT): return Rectangle(width=2.4 * frac, height=0.5, color=colour, fill_color=colour, fill_opacity=0.8, stroke_width=0).align_to(bar_bg, LEFT).set_y(bar_bg.get_y()) step = Text("", font_size=24, color=WHITE, font=MONO).to_edge(DOWN, buff=0.5) self.add(step) def set_step(txt, colour=WHITE): new = Text(txt, font_size=24, color=colour, font=MONO).to_edge(DOWN, buff=0.5) self.play(Transform(step, new), run_time=0.5) anchors = VGroup() corners = [LEFT * 4.1 + UP * 0.9, LEFT * 1.9 + DOWN * 1.4] timbres = [0.78, 0.32] for i, (corner, t) in enumerate(zip(corners, timbres)): # randomise: meter jitters set_step('"meh, randomise..."', PRIMARY) jit = audition_bar(0.5) self.add(jit) for f in (0.85, 0.2, 0.6, t): self.play(Transform(jit, audition_bar(f)), run_time=0.35) self.wait(0.4) set_step('"oh, I like that!"', LIKE) self.play(Transform(jit, audition_bar(t, LIKE)), Flash(bar_bg, color=LIKE, line_length=0.2), run_time=0.6) self.wait(0.4) # place it into a corner set_step("place it in that corner", LIKE) placed = Dot(bar_bg.get_center(), radius=0.13, color=ANCHOR) self.add(placed) self.play(placed.animate.move_to(corner), run_time=1.2, rate_func=smooth) ring = Circle(radius=0.2, color=ANCHOR, stroke_width=2).move_to(corner) self.play(Create(ring), run_time=0.4) anchors.add(VGroup(placed, ring)) self.remove(jit) self.wait(0.5) # interpolate between the two placed anchors set_step("interpolate between placed sounds", ACCENT) a0 = corners[0] a1 = corners[1] morph = Dot(a0, radius=0.12, color=ACCENT) line = DashedLine(a0, a1, color=ACCENT, stroke_width=2).set_opacity(0.4) self.play(Create(line), GrowFromCenter(morph), run_time=0.7) morph_bar = audition_bar(timbres[0], ACCENT) self.add(morph_bar) for f in (0.25, 0.5, 0.75, 1.0, 0.4): pos = a0 + (a1 - a0) * f val = timbres[0] + (timbres[1] - timbres[0]) * f self.play(morph.animate.move_to(pos), Transform(morph_bar, audition_bar(val, ACCENT)), run_time=0.7) self.wait(0.5) set_step("a smooth morph -- and no concept of 'dislike'", LIKE) self.wait(1.8) self.play(FadeOut(Group(*self.mobjects)), run_time=0.6) self.wait(0.3) class FeedbackContrast(Scene): def construct(self): self.camera.background_color = BG title = Text("Two ways to teach a mapping", font_size=40, color=PRIMARY, weight=BOLD, font=MONO).to_edge(UP, buff=0.4) self.play(Write(title), run_time=1.2) self.wait(0.6) divider = DashedLine(UP * 2.3, DOWN * 3.0, color=WHITE, stroke_width=2).set_opacity(0.25) self.play(Create(divider), run_time=0.6) # left: geometric dislike l_head = Text("Geometric dislike", font_size=28, color=DISLIKE, weight=BOLD, font=MONO).move_to(LEFT * 3.5 + UP * 1.7) l_lines = VGroup( Text("- you have a liked region", font_size=20, color=WHITE, font=MONO), Text("- thumbs-down pushes the", font_size=20, color=WHITE, font=MONO), Text(" sound AWAY from it", font_size=20, color=DISLIKE, font=MONO), Text("- directed, audible repulsion", font_size=20, color=WHITE, font=MONO), Text("- precision sculpting tool", font_size=20, color=WHITE, font=MONO), ).arrange(DOWN, aligned_edge=LEFT, buff=0.28).move_to(LEFT * 3.5 + DOWN * 0.3) # right: explore and place r_head = Text("Explore and place", font_size=28, color=LIKE, weight=BOLD, font=MONO).move_to(RIGHT * 3.5 + UP * 1.7) r_tag = Text("DEFAULT", font_size=16, color=ACCENT, font=MONO).next_to( r_head, DOWN, buff=0.12) r_lines = VGroup( Text("- randomise, audition, place", font_size=20, color=WHITE, font=MONO), Text("- positive-only: collect", font_size=20, color=LIKE, font=MONO), Text(" sounds you like", font_size=20, color=LIKE, font=MONO), Text("- interpolate between anchors", font_size=20, color=WHITE, font=MONO), Text("- no 'away from what' to reason", font_size=20, color=WHITE, font=MONO), ).arrange(DOWN, aligned_edge=LEFT, buff=0.28).move_to(RIGHT * 3.5 + DOWN * 0.3) self.play(FadeIn(l_head), FadeIn(r_head), FadeIn(r_tag), run_time=0.8) self.play(LaggedStart(*[FadeIn(x) for x in l_lines], lag_ratio=0.25), LaggedStart(*[FadeIn(x) for x in r_lines], lag_ratio=0.25), run_time=2.0) self.wait(1.5) rec = Text("Default to explore-and-place; reach for dislike to sculpt.", font_size=22, color=ACCENT, font=MONO).to_edge(DOWN, buff=0.45) box = SurroundingRectangle(rec, color=ACCENT, buff=0.2, stroke_width=2) self.play(FadeIn(rec), Create(box), run_time=1.0) self.wait(2.5) self.play(FadeOut(Group(*self.mobjects)), run_time=0.6) self.wait(0.3)